three essays on an emerging financial market

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Clemson University TigerPrints All Dissertations Dissertations 5-2018 ree Essays on an Emerging Financial Market Yuekai Cheng Clemson University, [email protected] Follow this and additional works at: hps://tigerprints.clemson.edu/all_dissertations is Dissertation is brought to you for free and open access by the Dissertations at TigerPrints. It has been accepted for inclusion in All Dissertations by an authorized administrator of TigerPrints. For more information, please contact [email protected]. Recommended Citation Cheng, Yuekai, "ree Essays on an Emerging Financial Market" (2018). All Dissertations. 2160. hps://tigerprints.clemson.edu/all_dissertations/2160

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Clemson UniversityTigerPrints

All Dissertations Dissertations

5-2018

Three Essays on an Emerging Financial MarketYuekai ChengClemson University, [email protected]

Follow this and additional works at: https://tigerprints.clemson.edu/all_dissertations

This Dissertation is brought to you for free and open access by the Dissertations at TigerPrints. It has been accepted for inclusion in All Dissertations byan authorized administrator of TigerPrints. For more information, please contact [email protected].

Recommended CitationCheng, Yuekai, "Three Essays on an Emerging Financial Market" (2018). All Dissertations. 2160.https://tigerprints.clemson.edu/all_dissertations/2160

Three Essays on an Emerging Financial Market

A DissertationPresented to

the Graduate School of Clemson University

In Partial Fulfillmentof the Requirements for the Degree

Doctor of PhilosophyEconomics

Accepted by:Dr. Gerald P. Dwyer, Jr., Committee Chair

Dr. Michal M. JerzmanowskiDr. Sergey MityakovDr. Robert F. Tamura

byYuekai Cheng

May 2018

Abstract

This dissertation examines the impact of retail trading, price limit rule and market

opening on the Chinese stock market. The Chinese stock market is the second largest

in the world based on market capital. In addition, it has a daily average turnover

eight times of the US stock market. It also has a price limit rule which limits its

daily fluctuation. Furthermore, retail investors play an important role in the Chinese

stock market, meaning its investor structure is different from that of developed stock

markets.

In the first chapter, I explore the impact of the breadth of ownership on stock

returns and turnovers in the Chinese A share market. Using data in the period of

2002-2017, I find that firms with a higher breadth of ownership and a higher change

in the breadth of ownership have lower returns and higher average daily turnovers

in the subsequent quarter. Furthermore, firms with a higher breadth of ownership

have a stronger reversal effect in returns and a stronger negative relationship be-

tween turnovers and subsequent returns. Moreover, adding the breadth and the

change of breadth factors to a six-factor model improves the explanatory power of

excess returns, this improvement is mainly provided by the change of breadth factor.

These findings are consistent with the hypothesis that retail investors are attention-

motivated traders and their trading behavior causes overreaction and mispricing in

the Chinese stock market.

In the second chapter, I explore the impact of the Chinese price limit policy on

ii

long-term stock performance using IPOs on the A share market and HKEx market

from 2006 to 2015. I use a difference-in-differences method to investigate whether

a new IPO policy for the A share market causing consecutive limit-ups on the first

several trading days after the IPO has a long-term effect on stock return, turnover,

volatility and β coefficient. The empirical results are consistent with the hypothesis

that this price limit policy causes the IPO firms on the A share market to have higher

stock returns, turnovers, volatility and β coefficients over a 2-years period after the

IPO.

In the last chapter, I explore the influence of Hong Kong investors on stock returns

and turnovers of stocks involved in the Shanghai-Hong Kong Stock Connect policy.

Using data from 2014-2016 in the Chinese stock market, I find that stocks dual-listed

in Shanghai and Hong Kong have higher monthly stock returns than stocks involved

in the Shanghai-Hong Kong stock connect but listed only in Shanghai; however, the

difference in stock returns between the dual-listed and other Shanghai Hong Kong

stock connect involved stocks decreases gradually. Moreover, stocks dual-listed in

Shanghai and Hong Kong have higher daily average turnovers than stocks involved

in the Shanghai-Hong Kong stock connect but listed only in Shanghai, and the dif-

ference in daily average turnover between dual-listed and other Shanghai-Hong Kong

stock connect involved stocks decreases gradually. These empirical results are consis-

tent with the hypothesis that Hong Kong investors were initially more likely to buy

Shanghai-Hong Kong dual-listed stocks through the stock connect channel; however,

iii

they extended their investment target to stocks involved in the stock connect but

listed only in Shanghai after they gained experience and became familiar with the

Shanghai stock market.

iv

Acknowledgement

I own many more debts than I can possibly acknowledge. I thank my advicer, Gerald

P. Dwyer, Jr., for his guidance on my research and comments on my dissertation.

I also thank my committee members, Michal M. Jerzmanowski, Sergey Mityakov,

Robert F. Tamura, for the comments and advice on my research. Thanks are also

due to Aspen Gorry, whose comments in macro workshop led me to write an essay

on stock market opening. I am grateful to my master advicer, Yao Zheng for his

guidance and support on my research and career development. I thank my teacher,

Xu Weidong for his advice on my research and his help in providing data. I am

grateful to Barbara J. Ramirez for helping me in English writing. I thank my room-

mates, Wu Xiaosong, Zhou Jian and Zou Pengfei, and my classmates, Fan Haobin,

He Qiwei, Tian Chuan, Wang Chen, Wei Qing and Huang Yiheng, who are all my

good friends. Five years study with you are wonderful and unforgettable experience

for me. Thanks also go to my foreign friends, Madeleine Nelson, Jonathan Ernest,

Kelsey Roberts, Leah Kitashima, Smriti Bhargava, Maria Droganova, Richard Sessa

and Corbin Fuller. We have so much fun together. I thank Zhao Liping for every-

thing we have experienced together in the last seven years, including applying for

Economics PhD, doing research, exploring trading strategies, learning programming

languages. Last, certainly not least, I owe more than I can say to the support and

love of my parents.

v

Contents

1 The Breadth of ownership, turnovers and stock returns in the Chi-

nese stock market 1

1.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

1.2 The Hypotheses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7

1.3 The Data and Variables . . . . . . . . . . . . . . . . . . . . . . . . . 11

1.4 Empirical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21

1.4.1 Determinants of the Breadth of Ownership . . . . . . . . . . . 21

1.4.2 Breadth of Ownership and Stock Returns . . . . . . . . . . . . 25

1.4.3 Breadth of Ownership and Turnovers . . . . . . . . . . . . . . 36

1.4.4 Breadth of Ownership and the Reversal Effect . . . . . . . . . 42

1.4.5 Breadth of Ownership and Turnover–Return Relation . . . . . 44

1.4.6 Breadth of ownership and factor model . . . . . . . . . . . . . 46

1.5 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . 56

1.6 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

1.6.1 A Model of the Breadth of Ownership, Turnover and Stock

Returns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 56

1.6.2 Comparison of the Breadth of Ownership Among Feature Groups 60

1.6.3 Test of Reversal Effect . . . . . . . . . . . . . . . . . . . . . . 63

1.6.4 Test of Turnover–Return Relationship . . . . . . . . . . . . . . 65

vi

2 Price Limit Rule and Long-term Performance of IPO in the Chinese

Stock Market 67

2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67

2.2 the Hypothesis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70

2.3 The Data and Variables . . . . . . . . . . . . . . . . . . . . . . . . . 72

2.4 Long-Term Performance of the IPO . . . . . . . . . . . . . . . . . . . 83

2.4.1 Performance by month . . . . . . . . . . . . . . . . . . . . . . 83

2.4.2 Long-term performance by IPO year . . . . . . . . . . . . . . 103

2.4.3 Regression Analysis . . . . . . . . . . . . . . . . . . . . . . . . 112

2.5 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . 123

3 Do Investors Invest in Familiarity? Evidence from the Shanghai-

Hong Kong Stock Connect 125

3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

3.2 the Hypotheses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129

3.3 The Data and Variables . . . . . . . . . . . . . . . . . . . . . . . . . 130

3.4 Empirical Results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137

3.5 Summary and Conclusions . . . . . . . . . . . . . . . . . . . . . . . . 147

vii

List of Tables

1 Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . 16

2 Correlation Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

3 Determinants of Breadth of Ownership . . . . . . . . . . . . . . . . . 23

4 Return Comparison for Stocks with Different Breadth of Ownerships 29

5 Return Comparison for Stocks with Different Change of Breadth of

Ownership . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30

6 Regression Results of Subsequent Returns on Breadth of Ownership . 34

7 Turnover Comparison for Stocks with Different Breadth of Ownership 37

8 Regression Results of Subsequent Turnovers on Breadth of Ownership 40

9 Reversal Effect, Turnover-Return Relation and Breadth of Ownership 43

10 Descriptive Statistics and Correlation Analysis of Factors . . . . . . . 48

11 Regression of Factors on Other Factors (Equally Weighted Factor Re-

turns) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 49

12 Regression of Factors on Other Factors (Value Weighted Factor Returns) 50

13 Test of Factor Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 54

14 Test of Factor Models . . . . . . . . . . . . . . . . . . . . . . . . . . . 55

15 Comparison of Breadth of Ownership for Different Feature Groups . . 61

16 Comparison of Change of Breadth of Ownership for Different Feature

Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62

17 Return Comparison for Stocks with Different Current Returns . . . . 64

viii

18 Return Comparison for Stocks with Different Current Turnovers . . . 65

19 The Distribution of Sectors for the IPO firms . . . . . . . . . . . . . 73

20 Descriptive Statistics . . . . . . . . . . . . . . . . . . . . . . . . . . . 75

21 Long term performance of IPO . . . . . . . . . . . . . . . . . . . . . 80

22 Mean of cumulative abnormal return after IPO (Composite index) . . 84

23 Median of cumulative abnormal return after IPO (Composite index) . 86

24 Mean of cumulative abnormal return after IPO (SmallCap index) . . 87

25 Median of cumulative abnormal return after IPO (SmallCap index) . 89

26 Mean of adjusted turnover after IPO (Composite index) . . . . . . . . 91

27 Median of adjusted turnover after IPO (Composite index) . . . . . . 93

28 Mean of adjusted volatility after IPO (Composite index) . . . . . . . 95

29 Median of adjusted volatility after IPO (Composite index) . . . . . . 98

30 Mean of adjusted volatility after IPO (SmallCap index) . . . . . . . . 100

31 Median of adjusted volatility after IPO (SmallCap index) . . . . . . . 101

32 Two-year cumulative adjusted stock return after the IPO (Composite

index) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103

33 Two year cumulative adjusted stock return after IPO (SmallCap index) 105

34 Two year average adjusted daily turnover after IPO (Composite index) 106

35 Two year adjusted daily volatility after IPO (Composite index) . . . 107

36 Two year adjusted daily volatility after IPO (SmallCap index) . . . . 108

37 Two year β coefficient after IPO (Composite index) . . . . . . . . . . 109

ix

38 Two year β coefficient after IPO (SmallCap index) . . . . . . . . . . 111

39 Price limit and stock return . . . . . . . . . . . . . . . . . . . . . . . 113

40 Price limit and β coefficient . . . . . . . . . . . . . . . . . . . . . . . 116

41 Price limit and daily volatility . . . . . . . . . . . . . . . . . . . . . . 118

42 Price limit and daily turnover . . . . . . . . . . . . . . . . . . . . . . 121

43 Descriptive Statistics Before Winsorizing . . . . . . . . . . . . . . . . 134

44 Descriptive Statistics After Winsorizing . . . . . . . . . . . . . . . . . 136

45 Impact of Shanghai Hong Kong Stock Connect on Stock Returns and

Turnovers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138

46 Mean of monthly returns after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142

47 Mean of 5 month returns after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

48 Mean of monthly turnovers after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 146

49 Mean of 5 month turnovers after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148

x

List of Figures

1 Mean of cumulative abnormal return after IPO (Composite index) . . 83

2 Median of cumulative abnormal return after IPO (Composite index) . 85

3 Mean of cumulative abnormal return after IPO (SmallCap index) . . 88

4 Median of cumulative abnormal return after IPO (SmallCap index) . 88

5 Mean of adjusted turnover after IPO (Composite index) . . . . . . . . 90

6 Median of adjusted turnover after IPO (Composite index) . . . . . . 94

7 Mean of adjusted volatility after IPO (Composite index) . . . . . . . 96

8 Median of adjusted volatility after IPO (Composite index) . . . . . . 99

9 Mean of adjusted volatility after IPO (SmallCap index) . . . . . . . . 99

10 Median of adjusted volatility after IPO (SmallCap index) . . . . . . . 102

11 Two year cumulative adjusted stock return after IPO (Composite index)103

12 Two year cumulative adjusted stock return after IPO (SmallCap index) 104

13 Two year average adjusted daily turnover after IPO (Composite index) 105

14 Two year adjusted daily volatility after IPO (Composite index) . . . 107

15 Two year adjusted daily volatility after IPO (SmallCap index) . . . . 109

16 Two year β coefficient after IPO (Composite index) . . . . . . . . . . 110

17 Two year β coefficient after IPO (SmallCap index) . . . . . . . . . . 111

18 Mean of monthly returns after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143

xi

19 Mean of 5 month returns after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144

20 Mean of monthly turnovers after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147

21 Mean of 5 month turnovers after enactment of Shanghai Hong Kong

Stock Connect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148

xii

1 The Breadth of ownership, turnovers and stock

returns in the Chinese stock market

1.1 Introduction

An emerging market, the Chinese stock market is the second largest in the world

based on its market value, with a transaction volume in 2015 38% of the total volume

of the world stock market. From December 1990, the day the Chinese stock market

was founded, to November 2017, the Shanghai Composite index increased by 3271%,

and the average annual return is 13.98%. During the same period, the Dow Jones

Industry Average increased by 795%, with an average annual return of 8.50%. The

daily average turnover of the Chinese stock market is about 8 times of the US stock

market.

An important reason that the Chinese stock market has different patterns in stock

returns and turnovers than the developed markets is the high fraction of retail traders

in the Chinese stock market. In contrast to developed markets in which institutional

investors play a major role, the Chinese stock market is significantly affected by the

behavior of retail investors. For example, at the end of the third quarter of 2014,

households and institutional investors, held 33% and 44%, respectively, of the shares

in the US stock market, while at the end of the third quarter of 2015 in the Chinese

A share market, by contrast, retail investors and institutional investors held 42% and

7%, respectively, of the tradable shares.

In this paper, I explore the impact of the breadth of ownership (the number of

1

shareholders per 1 million Chinese Yuan of market value) and the change of the

breadth of ownership (the quarterly percentage change of the number of sharehold-

ers) on stock returns and turnovers, obtaining implications of the asset pricing in the

Chinese stock market. Using data from the period 2002-2017, I find that firms with a

higher breadth of ownership and a higher percentage change of the breadth of owner-

ship have lower returns and higher average daily turnovers in the subsequent quarter.

Furthermore, firms with a higher breadth of ownership have a stronger reversal effect

in returns and a stronger negative relationship between turnovers and subsequent re-

turns. Moreover, adding the breadth and the change of breadth factors to a six-factor

model improves the explanatory power of excess returns, this improvement mainly

being provided by the change of breadth factor. These findings are consistent with

the hypothesis that retail investors are attention-motivated traders and their trading

behavior results in overreactions and mispricings in the Chinese stock market.

Factor pricing models assume that the stock market is efficient, so stock returns

covary with factors which proxy for common risks. After both Sharpe (1964) and

Lintner (1965) found that excess market return is a factor in asset pricing, addi-

tional research found book to market equity ratio and size (Fama and French, 1993),

momentum (Carhart, 1994), liquidity (Pastor, Stambaugh, 2003), investment and

profitability (Hou, Xue, and Zhang, 2012; Fama and French, 2015) were documented

as new pricing factors.

The impact of retail trading, which leads to market inefficiency, is ignored in

2

the traditional assets pricing models. Empirical evidence in this paper shows that

adding two factors mimicking portfolios formed by the breadth of ownership and

the change of the breadth of ownership to a six-factor model (Fama, French five

factors and momentum factor) improves the explanatory power of excess returns, an

improvement primarily provided by the change of breadth factor.

Currently, research is simultaneously identifying new factors and discovering anoma-

lies. While size (Banz, 1981), price earnings ratio (Basu, 1977), leverage (Bhandari,

1988), book market ratio (Fama and French, 1992), profitability (Novy-Marx, 2013)

and cash flow (Sloan, 1996) have been proposed as anomalies that challenge the

CAPM and other factor models, there is evidence that improved multi-factor models

can explain these characteristics (Fama and French,1996; Fama and French, 2016).

In this paper, I find that firms with a higher breadth of ownership and a higher

change of the breadth of ownership have lower subsequent returns after controlling

for other firm characteristics for cross-sectional stock returns, and the influence of

the breadth of ownership and the change of the breadth of ownership on future stock

returns cannot be explained by a six-factor model including Fama and French’s five

factors and the momentum factor.

The interplay between market factors and anomalies reflects the inconsistent re-

sults found for market efficiency. There is evidence that factors like book market ratio

(Chen, 2017) cannot proxy for common risk, meaning stock returns reflect firms’ dif-

ferent characteristics (Daniel and Titman, 1997). Additionally, behavioral factors,

3

for instance, irrational expectations (Lakonishok, Shleifer and Vishny, 1994; Brun-

nermeier and Nagel, 2004; Kogan, Ross, Wang and Westerfield, 2006), institutional

trading behavior (O’Brien and Bhushan, 1990; Keim and Madhavan, 1995; Sias and

Starks, 1997; Hotchkiss and Strickland, 2003; Sias, Starks and Titman, 2006), asym-

metric information (Meulbroek, 1992, Coval and Moskowitz, 1999), sentiment (Baker

and Wurgler, 2006; Baker and Wurgler, 2007; Tetlock, 2007), difference in opinion

(Yu, 2001; Diether, Malloy and Scherbina, 2002), and institution factors such as the

short sale constraint (Miller, 1977; Asquith, Patak and Ritter, 2005; Nagel, 2005;

Boehmer, Huszar and Jordan, 2010) are linked to stock returns.

To be specific, there is much research on the behavior of retail investors. Retail

investor ownership (Brandt, Brav, Graham and Kumar, 2010), sentiment (Kaniel,

Saar and Titman, 2008), overconfidence (Barber and Odean, 2000), attention (Bar-

ber and Odean, 2008), disposition effect (Shapira and Venezia, 2001) and visibility

(Gervais, Kaniel and Mingelgrin, 2001) have an impact on stock performance and on

the return of the retail investors themselves.

In this paper, I examine the breadth of ownership of retail investors and treat

the breadth of ownership as a proxy for overreaction and, thus, overpricing given

that there is a strong short sale constraint and retail investors play a significant

role in the Chinese stock market. The negative breadth-return relationship is, thus,

consistent with the hypothesis that irrational retail trading causes overreactions and

overpricings, both of which will be corrected in the future.

4

A firm’s visibility to investors measured by advertising expenditures is positively

related with the breadth of ownership of both individual and institutional investors

(Grullon, Kanatas and Weston, 2004). An increase in the breadth of ownership of

individual investors resulting from a reduction in the minimum trading unit improves

liquidity and is positively related with future stock returns (Amihud, Mendelson and

Uno, 1999). There is also contradicting evidence that an increase in the ownership

breadth of retail investors is a signal of overpricing and a predictor of low returns

(Choi, Jin and Yan, 2013).

The breadth of ownership among institutional investors is negatively related with

differences in opinion and a short sale constraint, meaning that the breadth of own-

ership of institutional investors is positively related with future stock returns (Chen,

Hong and Stein, 2002); Choi, Jin and Yan, 2013). However, the breadth of owner-

ship of institutional investors is positively related to investor recognition; therefore,

the breadth of ownership is negatively related with future stock returns (Lehavy and

Sloan, 2008). The compromising view suggests that the relationship between the

ownership breadth of institutional investors and return can be either positive or neg-

ative depending on the relative strength of the two offsetting forces of disagreement

and sentiment (Cen, Lu and Yang, 2013).

There is significant disagreement among the empirical results on the breadth-

return relationship. The results in this paper are consistent with those of Choi, Jin

and Yan (2013) which also use the Chinese stock market for their data.

5

There is a long-term negative relationship (De Bondt and Thaler, 1985) and a

short-term positive relationship (Jegadeesh and Titman, 1993) between current stock

returns and future stock returns. This paper provides evidence that there is a strong

reversal effect on quarterly stock returns, results that are consistent with De Bondt

and Thaler (1985). Furthermore, I find that firms with a higher breadth of ownership

have a stronger reversal effect. A potential explanation for this result is that firms

with higher ownership breadth have higher retail holdings and, thus, more intense

overreactions to news, meaning that there will be a higher correction in the stock

price.

Stock returns and turnovers are determined by the same firm characteristics in

the same direction (Rouwenhorst, 1999), correlate contemporaneously (Morgan, 1976;

Rogalski, 1978) and react to announcements in the same direction (Bamber and

Cheon, 1995). Dispersion of expectations (Comiskey, Walkling and Weeks, 1987),

risk, size, price, trading costs and S&P 500 membership (Lo and Wang, 2000) affect

turnovers.

After controlling for other potential determinants of cross-sectional turnovers, I

find that firms with a higher breadth of ownership and a higher change of the breadth

of ownership have higher average daily turnovers in the subsequent quarter. Firms

with a higher breadth of ownership are more intensively held by retail investors.

Therefore, the positive breadth-turnover relationship indicates that retail investors

have a higher trading frequency.

6

There is a negative relationship between turnovers and subsequent stock returns

(Datar, Naik and Radcliffe, 1998; Hu, 1997), but other evidence such as a positive

relationship (Claessens et al, 1998) and no relationship (Rouwenhorst, 1999) have also

been documented. This paper shows that there is a negative relationship between

turnovers and subsequent stock returns, a finding which consistent with Datar, Naik

and Radcliffe (1998) and Hu (1997). Firms with a higher breadth of ownership have a

stronger negative relationship between returns and prior turnovers, providing evidence

that irrational retail tradings cause higher turnovers and overpricing.

In conclusion, the findings in this paper are consistent with the hypothesis that

retail investors are attention-motivated traders and their trading behavior leads to

overreaction and overpricing in the Chinese stock market.

Section 2 presents the hypothesis, Section 3 the descriptive statistics of the data

and the variables, while Section 4 examines the impact of the breadth of ownership

on stock returns and turnovers, and Section 5 concludes.

1.2 The Hypotheses

This research tests eight hypotheses. Since institutional investors and retail investors

are the major players in the Chinese stock market, their trading behavior has an

impact on stock prices. In this paper, I assume that institutional investors have

an information advantage and better analytical skills than the retail investors. As

they are information-motivated traders, they buy undervalued stocks, holding them

for an extended period of time. As a result, institutional trading can increase the

7

information content in the stock price. In contrast, because retail investors do not

have an information advantage nor sufficient analytical skills, they are attention-

motivated traders, buying popular stocks which they hold for a short period. As a

result, these retail traders add noise to stock prices. These investors create pricing

errors in the market which are corrected by institutional investors. If a firm has a

larger number of retail investors, then the stock price is likely to be overvalued, and

it will see a lower return. Thus, I hypothesize that

H1: The level of the breadth of ownership is negatively related to subsequent stock

returns.

For the purpose of this research, the breadth of ownership is considered as a metric

of the number of retail investors. Since the Chinese stock market is highly short sale

constrained, most investors can only hold long positions. Only a small fraction of

stocks are allowed to be short sold and only investors with more than 500 thousand

Chinese Yuan of assets in their stock accounts can short sell stocks. As a result, the

total market value of short sold stocks is only 0.008% of the total market value of

the Chinese stock market. An increase in the number of retail investors results in

overreaction to good news, meaning the stock becomes overvalued. In contrast, a

decrease in the number of retail investors indicates that shares are flowing from retail

investors to institutional investors, meaning the stock might be undervalued. There-

fore, the prices of overvalued or undervalued stocks will return to the fundamental in

the future due to institutional tradings. Therefore, I hypothesize that

8

H2: The change in the breadth of ownership is negatively correlated to subsequent

stock returns.

If a firm has a large number of retail investors, then the stock tends to overreact

to both good and bad news. Since this overreaction to information will be corrected

in the future, I hypothesize that

H3: The level of the breadth of ownership is positively correlated to the reversal

effect in stock returns.

The trading behavior of retail investors is more speculative than that of institu-

tional investors. Thus, it is likely that institutional investors exhibit longer holding

periods than retail investors. Therefore, the fraction of shares held by retail investors

affects turnover. Hence, I hypothesize that

H4: Stocks with a higher breadth of ownership have higher subsequent turnovers.

Further, because retail trading is motivated by the attention to popular stocks,

these investors tend to sell their holdings quickly. Consequently, an increase in retail

holdings causes pressure on future stock prices. In contrast, institutional trading is

based on information, and institutional investors often change their positions gradu-

ally, holding them for a long time. Because the increase in institutional holdings is

indicative of less selling pressure and more buying pressure in the future, I hypothesize

that

H5: Stocks with a higher change of the breadth of ownership have higher turnovers.

Past research has found a negative relationship between turnovers and subsequent

9

stock returns. Stocks with higher retail holdings are subject to more irrational trad-

ing behavior, and have higher turnovers due to the higher trading frequency of retail

investors than institutional investors. If the negative relationship between turnovers

and subsequent stock returns is primarily driven by overpricing caused by irrational

retail trading, retail holdings will affect the relationship between turnovers and sub-

sequent stock returns. Hence, I hypothesize that

H6: Stocks with a higher breadth of ownership have a stronger negative relation-

ship between turnovers and subsequent stock returns.

In their more recent research, Fama and French (2015) proposed a five-factor

model, with more accurate explanatory power than the three-factor model they pro-

posed earlier. The reason that factor pricing models can explain stock returns is that

pricing factors capture the premium for common risks, and their associated factor

loadings, i.e., the coefficients of the factors capture the exposure of securities to com-

mon risks. If the stock market is efficient, the expected excess return is determined

by the risk exposure and the risk premiums of the pricing factors. If the market is ef-

ficient and the factors include all relevant risks, the intercept of a factor pricing model

is not significantly different from zero. If market is inefficient, then the intercept of a

factor model should be significantly different from zero. The breadth of ownership is

a measurement of retail holdings. If the overreaction caused by retail trading is the

main reason for the market inefficiency in the Chinese stock market, adding factors

related to the breadth of ownership and its change to a factor pricing model may be

10

helpful in explaining excess stock returns and may reduce the intercept of a factor

model. Thus, I hypothesis that

H7: Adding a factor which captures the premium of the breadth of ownership will

lower the intercept of the factor pricing model.

H8: Adding a factor which captures the premium of the change in the breadth of

ownership will lower the intercept of the factor pricing model.

1.3 The Data and Variables

This research used the quarterly data from stocks listed in the Chinese A share stock

market (Shanghai Stock Exchange and Shenzhen Stock Exchange) from the fourth

quarter of 2002 to the second quarter of 2017. The data from the first and second

quarters of 2003 are deleted because of their unavailability for key variables. As a

result, this study includes 85,550 observations from this 57-quarter period. These

data are from the WIND Database, a major reporter of data on the Chinese financial

market.

Since this paper focuses on the Chinese A share market, if a firm is listed on

additional exchanges, key variables such as the number of its shareholders and its

institutional shareholding in the A share market are unavailable. For example, if

a firm has B shares (shares listed in China and traded in foreign currencies), H

shares (shares listed in Hong Kong), and/or S shares (shares listed in Singapore)

in a quarter, the observations from this firm for this quarter are excluded. I also

excluded an observation if a stock was not traded for the entire prior quarter, current

11

quarter, or subsequent quarter for its return and turnover cannot be compared with

the remaining firms. In addition, I deleted observations of stocks with initial public

offerings (IPO) with two years or less because I needed 2 years’ data to compute β

coefficients. According to past research, firms exhibit poor performance for two to

three years after going public (Ritter,1991; Loughran and Ritter, 1995; Teoh, Welch

and Wong, 1998), this deletion, thus, eliminates the IPO impact on stock returns.

Rit is the return for stock i in quarter t. I use quarterly stock returns because the

data of the number of shareholders are released quarterly for most firms. A second

impact on stock returns is the breadth of ownership which is defined as the number

of shareholders in a listed company. However, assuming that the average capital that

retail investors invest in a single company is equal across all listed companies, then

the number of shareholders is proportional to the market value of a listed company

given that the institutional holdings percentage is fixed.

To make the breadth of ownership comparable across firms of different sizes, I

scale the definition of the breadth of ownership as follows:

BR∗it =(SHit

SHt)

(TVitTVt

)(1)

where SHit is the number of shareholders in firm i at the end of quarter t; SHt is

the number of investors in the Chinese stock market at the end of quarter t; TVit is

the market value of tradable shares of firm i at the end of quarter t; and TVt is the

market value of tradable shares in the Chinese stock market. The total number of

12

stock investors in China and the market value of the Chinese stock market as a whole

are fixed at a given time. Because this research uses quarterly cross-sectional data, I

simplify the breadth of ownership of firm i in quarter t using the following formula:

BRit =SHit

TVit(2)

The change in the breadth of ownership of firm i in quarter t CHit is measured

using quarterly percentage change of the number of shareholders:

CHit =SHit

SHit−1− 1 (3)

The size of firm i is measured using the market value of tradable shares, which

is the product of the stock price of firm i, multiplied by the freely tradable shares

of firm i. These freely tradable shares are A shares excluding 1) shares of large

shareholders who own more than 5% of the firm and their related shareholders; 2)

shares of shareholders who own less than 5% of the firm but are related to the large

shareholders or with their related parties hold more than 5% of the firm; 3) 75% of

shares of senior managers who are the top ten shareholders of firm i.

The China Securities Regulatory Commission has strict restrictions on the sale of

shares of major shareholders and insiders. In the A share market, senior managers

and large shareholders can sell only 25% of their shares per year and 1% of the total

equity of a listed company per quarter. And shares of large shareholders are held

for controlling power, not for capital gains or dividend proceeds. These shares have

13

much lower liquidity, meaning the behavior of these large shareholders in the stock

market is different from that of small shareholders including institutional and retail

shareholders.

The institutional holding ISit is the fraction of shares of firm i held by institutional

investors at the end of quarter t. Institutional investors include financial institutions

such as mutual funds, private equity funds, insurance companies, investment banks,

national social security funds, qualified foreign institutional investors and commercial

banks. Non-financial companies are not considered as institutional investors.

Additional variables used in this paper include:

• brit = ln (BRit);

• chit = ln (1 + CHit);

• isit = ln (1 + ISit);

• tvit = ln (TVit);

• CLit is the closing price of firm i at the end of period t;

• clit = ln (CLit); βit is the β coefficient of firm i at the end of quarter t calculated

using monthly returns in the prior 24 months;

• BMit is the book to market ratio at the end of period t; if the book value is

negative, then I assign a very small value for book to market ratio to this firm

which will be winsorized;

14

• bmit = ln (BMit); ROEit is the return on equity of firm i in the recent four

consecutive quarters before quarter t; I use earnings before abnormal terms as

the numerator and the book equity at the end of the period as the denominator

to calculate the return on equity;

• AGit is the year over year percentage growth of total assets for firm i at the end

of the recent quarter before quarter t;

• agit = ln (1 + AGit);

• V Lit is the daily average volatility for firm i in quarter t; the volatility is derived

from the standard deviation of daily stock returns in a quarter;

• TOit is the daily average turnover rate for firm i in quarter t; the turnover is

the ratio of the transaction volume to tradable shares.

The definition of the recent quarter is as follows. For bmit, ROEit, agit, I use

financial data available to investors at the beginning of quarter t if I use the return

of quarter t as the subsequent return. For example, if I use data from the second

quarter of 2017 to calculate the subsequent return, I will use the financial data from

the third quarter report of 2016 to calculate bmit, ROEit, agit. Listed companies are

required to release their annual report for 2016 and the first quarter report for 2017

no later than April 30, 2017.

To avoid the impact of extreme values on the results, I winsorize all the variables

in this paper. For agit,βit, brit, chit, ROEit, Rit, I replace observations in the bottom

15

and top 0.01 quantiles of the variables by the bottom and top 0.01 quantiles value

of the variables, respectively. For bmit, I replace observations in the bottom 0.02

quantile of the variable by the bottom 0.02 quantile value of the variable. For tvit,

clit, isit, TOit, V Lit, I replace observations in the top 0.02 quantiles of the variables

by the top 0.02 quantiles value of the variables. Some variables are winsorized only

in the top or bottom quartiles because extreme values are unlikely to appear in the

other.

Table 1: Descriptive Statistics

CLit is the closing price of firm i at the end of period t; Rit is the return for stock i in quarter t;TVit is the market value of tradable shares of firm i at the end of period t; ISit is the percentage offirm i’s total equity held by institutional investors at the end of quarter t; CHit is percentage changeof the number of shareholders of firm i in quarter t; BRit is the ratio of the number of shareholdersto the market value of tradable shares of firm i at the end of quarter t; ROEit is return on equityof firm i in the recent four consecutive quarters before quarter t; AGit is year over year percentagegrowth of total asset for firm i at the end of recent quarter before quarter t; BMit is the book tomarket equity ratio at the end of period t; βit is the β coefficient of firm i at the end of quarter t;V Lit is the daily average volatility for firm i in quarter t; TOit is the daily average turnover rate forfirm i in quarter t

Variable Min Max Mean Median Std. errorCLit 0.73 386.36 12.12 9.38 11.26

Rit(%) -83.82 638.15 5.94 0.66 29.74TVit (billion cny) 0.021 235.46 3.25 1.90 7.33

ISit(%) 0 67.57 4.37 1.69 6.72CHit(%) -70.68 1456.75 3.17 -1.36 30.55

BRit(per million cny) 0.31 2776.59 28.45 18.21 34.95ROEit(%) -103660.5 651.96 0.99 4.72 486.18AGit(%) -99.98 2530508 19.11 9.75 13865.93

BMit 0.000046 2.17 0.36 0.31 0.24βit -2.61 8.43 1.03 1.03 0.44

V Lit(%) 0.02 50.76 2.85 2.65 1.16TOit(%) 0.0063 279.44 3.46 2.74 3.09

Table 1 presents the descriptive statistics. In order to decrease the impact of

extreme values on the statistics, the means of all variables are calculated with the

16

values obtained after winsorizing, while raw data are used for all other statistics. The

quarterly returns of stocks vary from -83.82% to 638.15%, the mean value is 5.94%

and the median is 0.66%. The stocks in the sample period exhibit good performance

on average though the variation of performances is large. The mean of the market

value of tradable shares is 3.25 billion CNY and the median is 1.90 billion CNY; the

market value of tradable shares vary from 0.021 billion CNY to 235.46 billion CNY.

These statistics indicate that the heterogeneity in size is quite large for Chinese stocks.

The mean of the institutional holding is 4.37% of the total equity while the median

is 1.69%, and the maximum and minimum values are 67.57% and 0, respectively,

indicating that institutional investors hold a very small fraction of the total equity

of companies listed in China. The mean of percentage change of the number of

shareholders is 3.17%, the median is -1.36%, and the maximum and minimum values

are -70.68% and 1456.75%, respectively. The mean and median of the number of

shareholders per million Chinese Yuan of the market value of tradable shares are 28.45

and 18.21, and the maximum and minimum values are 0.31 and 2776.59, respectively.

The breadth of ownership and the change in the breadth of ownership exhibit large

variations in this sample.

Since the purpose of this paper is to explore the cross-sectional variation in stock

returns and turnovers, most of the empirical tests are conducted for each quarter

in the sample period, and then the quarterly average of the results is reported as

the final results for the entire sample period. To examine the correlations among

17

variables, the correlation analysis used here followed the procedure below.

For each quarter in the sample period: (1) I sort the observations equally into five

size groups according to the market value of the tradable shares; (2) I then calculate

the correlation coefficients Rijts between two variables i and j for each size group,

where t denotes the quarter and s denotes the size group; (3) I take equally weighted

averages of the correlation coefficients Rijt for these five size groups as the coefficients

for this quarter, where Rijt = mean(Rijts); (4) I take equally weighted time series

averages of the correlation coefficients Rij for all 57 quarters as the final correlation

coefficients, where Rij = mean(Rijt); (5) I take the time series standard deviation

of the correlation coefficients sd(Rijt) divided by the square root of the number of

quarters in the sample as the standard error of the correlation coefficients se(Rijt),

where se(Rijt) =sd(Rijt)√

57.

The next step invloves conducting a t-test to test the hypothesis that the av-

erage correlation coefficients are zero. If the auto-correlations in the time series of

correlation coefficients are positive (negative), then the standard errors are under-

estimated (overestimated). To adjust the standard errors for the bias caused by

the auto-correlations of the correlation coefficients Rijt, I replace the standard er-

rors by sea(Rijt) = se(Rijt) ∗ Kij as is documented by Fama, French (2002), where

Kij =√

1+ρij1−ρij , and ρij is the estimated one stage auto-correlation coefficients of corre-

lation coefficients Rijt. I conduct the t-test for the correlation coefficients Rij, where

tij = Rij/sea(Rijt) for Rij. However, I do not group observations into size groups

18

before I calculate the correlation coefficient between any variable i and tvit.

Table 2: Correlation Analysis

CLit is the closing price of firm i at the end of period t; clit = ln (CLit); Rit is the return forstock i in quarter t; TVit is the market value of tradable shares of firm i at the end of period t;tvit = ln (TVit); ISit is the percentage of firm i’s total equity held by institutional investors at the endof quarter t;isit = ln (1 + ISit); CHit is percentage change of the number of shareholders of firm i inquarter t;chit = ln (1 + CHit); BRit is the ratio of the number of shareholders to the market valueof tradable shares of firm i at the end of quarter t;brit = ln (BRit); ROEit is return on equity of firmi in the recent four consecutive quarters before quarter t; AGit is year over year percentage growthof total asset for firm i at the end of recent quarter before quarter t;agit = ln (1 +AGit); BMit isthe book to market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient offirm i at the end of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is thedaily average turnover rate for firm i in quarter t; ***: Coefficient is significant at the 0.01 level(2-tailed); **: Coefficient is significant at the 0.05 level (2-tailed); *: Coefficient is significant at the0.10 level (2-tailed); Standard errors adjusted for autocorrelation are in parentheses.

Column 1 2 3brit chit Rit+1

chit 0.0399 brit−1 -0.2190*** TOit -0.0870***(0.0267) (0.0138) (0.0114)

isit -0.5167*** isit−1 0.1118*** Rit -0.0488**(0.0518) (0.0165) (0.0193)

bmit 0.3971*** bmit−1 -0.0705*** brit -0.0274(0.0116) (0.0094) (0.0169)

βit 0.2503*** βit−1 -0.0323** chit -0.0717***(0.0452) (0.0129) (0.0106)

tvit -0.4447*** tvit−1 0.0773*** isit 0.0417***(0.0525) (0.0121) (0.0150)

ROEit -0.2083*** ROEit−1 0.0497***(0.0166) (0.0066) TOit+1

agit -0.2054*** agit−1 0.0823*** brit 0.1034*(0.0232) (0.0077) (0.0597)

Rit -0.2120*** Rit−1 0.0650** chit 0.2041***(0.0158) (0.0269) (0.0161)

TOit 0.1156* TOit−1 -0.0023 isit -0.1022**(0.0676) (0.0105) (0.0423)

V Lit -0.0155 V Lit− 1 0.0343*** TOit 0.5976***(0.0508) (0.0111) (0.0150)

clit -0.7439*** clit−1 0.1207*** Rit 0.1295***(0.0194) (0.0162) (0.0280)

Table 2 shows the results of the correlation analysis, with brit being significantly

positively related with bmit and βit, and significantly negatively related with isit, tvit,

ROEit, agit, Rit and clit. Stocks with higher book market ratios and beta coeffi-

19

cients have a higher breadth of ownership, while stocks with smaller sizes, returns

on assets, asset growth rates, and past returns have a higher breadth of ownership.

Retail investors hold stocks with low valuation and low quality, which is defined as a

low growth rate and low profitability. The strong negative relationship between the

breadth of ownership and institutional holdings is not surprising as the breadth of

ownership is an indicator of retail holdings. The negative relationship between the

stock price and the breadth of ownership is attributable to the fact that low price

stocks are more available for retail investors.

The variable chit is significantly positively correlated with isit−1, tvit−1, ROEit−1,

agit−1, Rit−1, V Lit−1, clit−1, and significantly negatively correlated with brit−1, bmit−1,

βit−1. The stocks with higher institutional holdings, larger sizes, higher returns on

assets, higher past returns, higher volatilities, and higher prices have a higher in-

crease in the breadth of ownership in the subsequent quarter. These relationships are

consistent with the hypothesis that retail investors tend to buy stocks with good re-

cent fundamental and technical performances. The negative relationship between the

breadth of ownership and the subsequent change in the breadth of ownership shows a

mean reversion pattern in the breadth of ownership. Stocks with lower book market

ratios and beta coefficients have a higher increase in the breadth of ownership. Retail

investors tend to buy stocks with a higher valuation level and that seem to be less

risky. These results are consistent with the belief that retail investors buy stocks that

seem good and are not cheap.

20

High turnovers, stock returns and change in the breadth of ownership all predict

poor returns in the subsequent quarter, while institutional holdings are positively

correlated with subsequent returns. The relationship between the breadth of own-

ership and subsequent returns is negative but insignificant. High turnovers, stock

returns, breadth of ownership, change in the breadth of ownership all predict larger

subsequent turnovers, while institutional holdings are negatively correlated with sub-

sequent turnovers. These results are consistent with the hypotheses in this paper,

which will be tested further with regression analysis to control for other variables.

1.4 Empirical Results

1.4.1 Determinants of the Breadth of Ownership

Because in this paper, I explore the influence of the breadth of ownership on stock

returns and turnovers, it is worth while to investigate the determinants of the breadth

of ownership. Specifically, I investigate the kinds of stocks that have a higher breadth

of ownership and what determines the change in the breadth of ownership in this

section.

I apply multivariate regressions to investigate the factors determining the breadth

of ownership using two specifications, one for the level of the breadth of ownership,

the other for the change in the breadth of ownership. I take the logarithms for

several variables because they vary largely for different stocks, meaning their standard

deviations also vary. The models are as follows:

21

brit = a0 + a1isit + a2Rit + a3clit + a4βit + a5bmit

+a6V Lit + a7TOit + a8tvit + a9ROEit + a10agit + eit

(4)

chit = a0 + a1brit−1 + a2isit−1 + a3Rit−1 + a4clit−1 + a5βit−1 + a6bmit−1

+a7V Lit−1 + a8TOit−1 + a9tvit−1 + a10ROEit−1 + a11agit−1 + eit

(5)

The variable chit is not included on the right hand side of Equation 4 because

it captures the difference between brit and brit−1. Thus adding chit to the model

will cause an endogenous problem. I use the Fama-MecBeth procedure to run the

cross-sectional regressions for each of the 57 quarters for each of the five size groups

and obtain the final coefficients by averaging the coefficients first by size groups and

then by quarters, using the same sorting and averaging method as for the correlation

analysis. Then, I adjust the standard errors for auto-correlation of the coefficients

using the method proposed in Fama, French (2002) and conduct t-test.

I sort the sample by size for the Fama-MacBeth regressions because the volatilities

of major variables vary with firm size. Simply pooling all observations in a single

Fama-MacBeth regression would cause the coefficients to be identified by firms with

a particular size. Running the Fama-MacBeth regressions for each size quintile and

taking the average of the coefficients prevents the results from being dominated by a

specific size quintile.

Column 1 of Table 3 shows the regression results of the determinants of the level

of the breadth of ownership. As this table shows, the breadth of ownership is sig-

22

Table 3: Determinants of Breadth of Ownership

CLit is the closing price of firm i at the end of period t; clit = ln (CLit); Rit is the return forstock i in quarter t; TVit is the market value of tradable shares of firm i at the end of period t;tvit = ln (TVit); ISit is the percentage of firm i’s total equity held by institutional investors at the endof quarter t;isit = ln (1 + ISit); CHit is percentage change of the number of shareholders of firm i inquarter t;chit = ln (1 + CHit); BRit is the ratio of the number of shareholders to the market valueof tradable shares of firm i at the end of quarter t;brit = ln (BRit); ROEit is return on equity of firmi in the recent four consecutive quarters before quarter t; AGit is year over year percentage growthof total asset for firm i at the end of recent quarter before quarter t;agit = ln (1 +AGit); BMit isthe book to market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient offirm i at the end of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is thedaily average turnover rate for firm i in quarter t; ***: Coefficient is significant at the 0.01 level(2-tailed); **: Coefficient is significant at the 0.05 level (2-tailed); *: Coefficient is significant at the0.10 level (2-tailed); Standard errors adjusted for autocorrelation are in parentheses.

Column 1 2Dependent brit chitconstant -6.547*** constant -1.827***

(0.344) (0.315)brit−1 -0.090***

(0.015)isit -3.424*** isit−1 0.009

(0.629) (0.062)Rit -0.271*** Rit−1 0.027

(0.099) (0.021)clit -0.728*** clit−1 -0.050***

(0.022) (0.012)βit 0.170*** βit−1 0.012**

(0.062) (0.005)bmit 0.146*** bmit−1 -0.003

(0.049) (0.004)V Lit -2.910 V Lit−1 -0.209

(2.244) (0.176)TOit 6.139*** TOit−1 0.369***

(2.710) (0.108)tvit -0.116*** tvit−1 0.044***

(0.010) (0.013)ROEit -0.171*** ROEit−1 -0.008

(0.065) (0.006)agit -0.094*** agit−1 0.036***

(0.036) (0.005)

23

nificantly and negatively related with institutional holdings. A larger proportion of

the stocks with a higher breadth of ownership are held by retail investors, meaning

institutional investors hold a smaller proportion of the total equity. Stocks with a

poor performance have a higher breadth of ownership, indicating that retail investors

tend to hold such stocks. Stocks with lower prices have a higher breadth of ownership

as they are more available to retail investors. Stocks with higher β coefficients have

a higher breadth of ownership. If the β coefficient is an indicator of risk, then retail

investors hold stocks with higher risks. Stocks with a higher book market ratio have

a higher breadth of ownership. Retail investors hold these stocks which are cheap

but may have higher risks. Stocks with higher turnovers have a higher breadth of

ownership, consistent with the hypothesis that retail investors have a higher trad-

ing frequency and prefer stocks with higher trading volumes. Stocks from smaller

firms and with lower profitabilities and lower growth rates have a higher breadth of

ownership. These stocks seem to have a poor business performance.

These results show that retail investors hold stocks with lower valuations, higher

risks, and poorer business and stock market performances, consistent with the hy-

pothesis that retail investors do not use value strategies. The stocks typically held by

retail investors exhibit poor performances but have high turnovers, indicating that

retail investors lose money in the stock market though they trade frequently.

Column 2 of Table 3 shows the result of the determinants of the change in the

breadth of ownership. Stocks with a higher breadth of ownership tend to see a

24

decrease in the breadth of ownership in the subsequent quarter, reflecting a mean

reversion in the breadth of ownership. Stocks with lower prices, higher β coefficients,

higher turnover, larger firm sizes and higher growth rates have a higher change in

the breadth of ownership in the subsequent quarter. These features capture the

attention of retail investors who do not consider profitability in their stock purchases.

Though retail investors will buy stocks with lower prices, a higher book market ratio

is attractive to them.

Column 1 of Table 3 shows the features of stocks typically held by retail investors,

while Column 2 of Table 3 shows the features of stocks that will increase the position

of retail investors in the next quarter. Results in Table 3 provide evidence that

retail investors do not use value strategies as they hold stocks with poor qualities,

low valuations and high risks, and they buy stocks that look attractive but are not

particularly profitable or cheap. For these reasons, though retail investors trade

frequently, they do not see a profit from their investment.

1.4.2 Breadth of Ownership and Stock Returns

The breadth of ownership of a company is primarily determined by its number of retail

investors. To explore the impact of the behavior of these investors on subsequent stock

returns, I compare stock returns in the next quarter among stocks with different levels

of the breadth of ownership brit at the end of the current quarter using the following

procedure.

For each quarter t in the sample period: (1) I sort the observations equally into

25

five size groups according to the market value of tradable shares; (2) in each size

group, I sort the observations equally into five subgroups according to the breadth of

ownership brit at the end of quarter t, so that each stock belongs to a size group and a

breadth group; thus stocks are split into 25 groups; (3) for each group, I calculate the

equally weighted average of Rst+1 as the subsequent stock return of this group, where s

denotes size quintiles, and Rst+1 = mean(Rist+1); (4) for each breadth quintile, I take

the equally weighted average stock returnRt+1 of the five size groups as the subsequent

stock return of this breadth quintile in quarter t, where Rt+1 = mean(Rst+1); (5) I

take the equally weighted time series average of stock return R for all 57 quarters

as the subsequent stock return of this breadth quintile, where R = mean(Rt+1); (6)I

calculate the difference between subsequent stock returns R of high and low breadth

quintiles.

To test whether the results from this test are robust after considering the assets

pricing factors, I run a time series regression of excess quarterly returns REt on

RMEt, SMBt, HMLt, MOMt, RMWt and CMAt for each breadth of ownership

category, obtaining intercept a0 as the abnormal return after 6 factors:

REt = a0+a1RMEt+a2SMBt+a3HMLt+a4MOMt+a5RMWt+a6CMAt+et (6)

where

• REt = Rt − RFt; Rt is the equally weighted average return of firms in a group

in quarter t and RFt is the three-month risk-free rate divided by four. I use the

26

benchmark deposit rate set by the People’s Bank of China.

• The market excess return RMEt = RMt − RFt; RMt is the equally weighted

average return of all stocks in the sample in quarter t.

• SMBt is the difference in the equally weighted average returns between the

small stock group and the large stock group; the former includes stocks with

the market value of tradable shares below the 0.3 quantile at the end of quarter

t-1, while the large stock group includes stocks with the market value of tradable

shares above the 0.7 quantile at the end of quarter t-1.

• HMLt is the difference in equally weighted average returns between the high

book to market equity ratio (B/M) stock group and the low B/M stock group;

the high B/M stock group includes stocks with the B/M above the 0.7 quantile

at the end of quarter t-1, while the low B/M stock group includes stocks with

the B/M below the 0.3 quantile at the end of quarter t-1;

• MOMt is the difference in equally weighted average returns between the strong

stock group and the weak stock group; the strong stock group includes stocks

with the returns above the 0.7 quantile in quarter t-1, and the weak stock group

includes stocks with the returns below the 0.3 quantile in quarter t-1.

• RMWt is the difference in equally weighted average returns between the robust

profitability stock group and the weak profitability stock group; the robust

profitability stock group includes stocks with the return on equity in the recent

27

four consecutive quarters above the 0.7 quantile in quarter t-1, and the weak

profitability stock group includes stocks with the return on equity below the 0.3

quantile in quarter t-1.

• CMAt is the difference in equally weighted average returns between the con-

servative investment stock group and the aggressive investment stock group;

the conservative investment stock group includes stocks with a year-over-year

growth of the total asset at the end of recent quarter below the 0.3 quantile in

quarter t-1, and the aggressive investment stock group includes stocks with the

growth of total assets above the 0.7 quantile in quarter t-1.

I also calculate the difference of quarterly raw returns of the high and low breadth

of ownership quintiles, obtaining abnormal returns after 6 factors of the return dif-

ference through regression of Equation 6.

To ensure my results are robust, I exclude the profitability factor and the invest-

ment factor from Equation 6 and followed the same procedure to obtain the abnormal

returns after 4 factors including comparing them among the breadth of ownership

quantiles. In addition, I use the value weighted return to calculate the stock returns

and factor returns and then repeat the tests. Table 4 reports the subsequent stock

returns for different breadth of ownership groups.

For both value weighted returns and equally weighted returns, with an increase

in the breadth of ownership, the subsequent stock returns decrease with the stocks

in the highest breadth of ownership quintile having lower subsequent stock returns

28

Table 4: Return Comparison for Stocks with Different Breadth of Ownerships

In Panel A and B, Columns 1-5 present equally weighted and value weighted average raw returnsand abnormal returns after 3 and 6 factors in quintiles of BRit; in Panel C, Columns 1-5 present theresiduals of regressing Rit+1 on the variables on the right side excluding brit; Column 6 shows thedifference between the lowest and highest quintiles; Rit is the return for stock i in quarter t; BRit

is the ratio of the number of shareholders to the market value of tradable shares of firm i at the endof quarter t;brit = ln (BRit).

column 1 2 3 4 5 6Rit+1 brit Low 2 3 4 High Low-High

Panel AEqual W. Raw 0.0611 0.0557 0.0528 0.0515 0.0535 0.0076

3 Factors 0.021 0.006 -0.005 -0.009 -0.014 0.035***6 Factors 0.015 -0.001 -0.010 -0.009 -0.004 0.019***

Panel BValue W. Raw 0.0592 0.0543 0.0515 0.0504 0.0526 0.0065

3 Factors 0.014 0.007 -0.007 -0.010 -0.014 0.028***6 Factors 0.015 0.005 -0.006 -0.006 -0.004 0.019***

Panel CResidual Equal W. 0.0052 0.0017 0.0001 -0.0032 -0.0038 0.0089***

Value W. 0.0045 0.0016 0.0001 -0.0034 -0.0039 0.0082***

*** indicates the coefficient is significant at the 0.01 level (2-tailed).

than the lowest breadth quintile. The results for abnormal returns after both four

factors and six factors are significant at the 1% level. For example, the value weighted

quarterly abnormal stock return after 6 factors of the highest breadth quintile is 1.9%

lower than that of the lowest breadth quintile. These empirical results indicate that

the level of breadth of ownership has an impact on subsequent stock returns, results

support Hypothesis 1.

To test Hypothesis 2, I compare subsequent stock returns among different change

of breadth of ownership groups using the same method as comparing subsequent

returns with different level of breadth of ownership groups. The results can be seen

in Table 5.

29

Table 5: Return Comparison for Stocks with Different Change of Breadth of Owner-ship

In Panel A and B, Columns 1-5 present equally weighted and value weighted average raw returnand abnormal return after 3 and 6 factors in quintiles of CHit; in Panel C, Columns 1-5 presentthe residuals of regressing Rit+1 on the variables on the right side excluding chit; Column 6 showsthe different between lowest and highest quintiles; Rit is the return for stock i in quarter t; CHit ispercentage change of the number of shareholders of firm i in quarter t;chit = ln (1 + CHit).

Column 1 2 3 4 5 6Rit+1 chit Low 2 3 4 High Low-High

Panel AEqual W. Raw 0.0680 0.0658 0.0574 0.0469 0.0367 0.0313***

3 Factors 0.023 0.009 -0.003 -0.013 -0.018 0.041***6 Factors 0.025 0.013 -0.001 -0.014 -0.031 0.056***

Panel BValue W. Raw 0.0668 0.0647 0.0555 0.0464 0.0354 0.0313***

3 Factors 0.019 0.007 -0.003 -0.013 -0.021 0.040***6 Factors 0.026 0.014 -0.002 -0.010 -0.026 0.052***

Panel CResidual Equal W. 0.0112 0.0075 -0.0011 -0.0075 -0.0100 0.0208***

Value W. 0.0108 0.0073 -0.0010 -0.0077 -0.0103 0.0206***

*** indicates the coefficient is significant at the 0.01 level (2-tailed).

For both value weighted returns and equally weighted returns, with the increase

in the change in the breadth of ownership, the subsequent stock returns decrease,

with stocks in the highest change in breadth quintile having lower subsequent returns

than the lowest change of breadth quintile. The results for raw returns and abnormal

returns after both four factors and six factors are significant at the 1% level. For

example, the value weighted quarterly abnormal stock return after six factors of the

highest change of breadth quintile is 5.2% lower than that of the lowest change of

breadth quintile. These results are consistent with Hypothesis 2.

To control for the impact of factors other than breadth of ownership on stock

returns, I run a Fama-MacBeth cross-sectional multivariate regression to explore the

30

relationship between future stock returns and breadth of ownership.

For the control variables, Rit−1 is used to control for the momentum or reversal

effect. The increase in breadth of ownership is a result of higher retail holdings that

is often accompanied by lower institutional holdings. This change in institutional

holdings can influence stock returns through the corporate governance channel be-

cause institutional investors have a higher motivation and more ability to monitor

the managers. To control for this effect, I add isit to the model. Stocks with lower

prices are more available for retail investors so that they may have a higher number

of shareholders given the same market value of tradable shares. Controlling clit leads

to the breadth of ownership becoming more comparable among stocks with different

prices. To control for this size effect, tvit is added to the model. The five factors in the

pricing model proposed by Fama and French (2015) are represented by the variables

βit, bmit, tvit, ROEit, agit. V Lit and TOit are added to control for the impact of past

volatility and volume on future stock returns, while eit is the error term. First, I run

Equation 7 for each quarter for each of the five size groups to obtain the residuals for

each observation; both brit and chit are not included as right side variables.

Rit+1 = a0 + a1isit + a2Rit + a3clit + a4βit + a5bmit

+a6V Lit + a7TOit + a8tvit + a9ROEit + a10agit + eit

(7)

In each quarter for each size group, I sort observations further into five breadth

of ownership groups based on brit, and calculate equally weighted and value weighted

averages of the residuals rtsb for each breadth group, where t denotes quarter, s denotes

31

size, and b denotes breadth. Then I calculate the equally weighted average by size and

then by quarter to obtain rb, the average residual of a breadth group; these results are

presented in Table 4. The average residual changes from positive to negative as the

breadth of ownership changes from the smallest to the largest quintile, indicating a

variation in stock returns related to breadth of ownership remains unexplained. These

results support the hypothesis that a higher breadth of ownership predicts lower stock

returns.

Then for each size group in each quarter, I sort the observations into five change

in the breadth of ownership groups according to chit and repeat the above procedure

to test how residuals change with a change in the breadth of ownership; These results

are reported in Table 5. The average residual changes from positive to negative when

the change in breadth increases from the smallest to the largest quintile, indicating a

variation in stock returns related to the change in the breadth of ownership which is

unexplained. These results are consistent with the hypothesis that a higher change

in the breadth of ownership predicts lower stock returns. Then I use Equation 8 as

baseline model to examine the impact of breadth of ownership on stock returns.

Rit+1 = a0 + a1chit + a2brit + a3isit + a4Rit + a5clit + a6βit + a7bmit

+a8V Lit + a9TOit + a10tvit + a11ROEit + a12agit + eit

(8)

Because of the high correlations between brit and chit, brit and isit, isit and the

control variables, I use several alternative specifications in addition to the baseline

regression. I use the same Fama-MacBeth procedure as I used to run the regression of

32

determinants of the breadth of ownership; Table 3 shows these results. The coefficients

a1 and a2 are significant at 1% level for all six specifications, meaning the results

are very robust. For the baseline regression shown in Column 1 of Table 3, if the

number of shareholders is twice as large, the quarterly stock return decreases by

1.9%; and when the change in the number of shareholders increases by 10%, the

quarterly stock return decreases by approximately 0.86%. Given that there is no

evidence that breadth of ownership is related to variables representing the cash flow

of the firm such as dividend, profit or investment, the relationship between breadth

of ownership and stock return is economically significant. The results can be seen in

Table 6.

As the regression results in Table 6 show, stocks with a higher breadth of owner-

ship have lower returns in the subsequent quarter, a relationship that is statistically

significant. This result is consistent with Hypothesis 1. Stocks with a higher breadth

of ownership are typically held by retail investors, so their prices are overvalued be-

cause retail investors tend to hold attention-catching stocks. Hence, the stock prices

will return to normal in the subsequent quarter.

The results in Table 6 also show that stocks with a higher change in the breadth

of ownership have lower returns in the subsequent quarter, a finding consistent with

Hypothesis 2. A large increase in the breadth of ownership means the shares are

moving from information-motivated institutional investors to attention-motivated re-

tail investors, a signal that the stock price have overreacted to financial news because

33

Table 6: Regression Results of Subsequent Returns on Breadth of Ownership

CLit is the closing price of firm i at the end of period t; clit = ln (CLit); Rit is the return forstock i in quarter t; TVit is the market value of tradable shares of firm i at the end of period t;tvit = ln (TVit); ISit is the percentage of firm i’s total equity held by institutional investors at theend of quarter t;isit = ln (1 + ISit); CHit is the percentage change of the number of shareholders offirm i in quarter t;chit = ln (1 + CHit); BRit is the ratio of the number of shareholders to the marketvalue of tradable shares of firm i at the end of quarter t;brit = ln (BRit); ROEit is the return onequity of firm i in the four consecutive quarters before quarter t; AGit is year-over-year percentagegrowth of total assets for firm i at the end of the quarter before quarter t;agit = ln (1 +AGit); BMit

is the book to market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient offirm i at the end of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is thedaily average turnover rate for firm i in quarter t.

Column 1 2 3 4 5 6

Dependent Rit+1

constant 0.514*** 0.456*** 0.550*** 0.647*** 0.488*** 0.582***(0.143) (0.146) (0.139) (0.155) (0.142) (0.157)

chit -0.086*** -0.086*** -0.083*** -0.083***(0.023) (0.022) (0.022) (0.022)

brit -0.019*** -0.022*** -0.019*** -0.022***(0.004) (0.004) (0.004) (0.004)

isit 0.121* 0.142** 0.184***(0.067) (0.062) (0.061)

Rit -0.053*** -0.055*** -0.032* -0.046** -0.032 -0.047**(0.017) (0.018) (0.019) (0.017) (0.019) (0.018)

clit -0.024*** -0.022*** -0.023*** -0.010 -0.021** -0.004(0.008) (0.008) (0.008) (0.006) (0.008) (0.006)

βit 0.002 0.002 0.003 0.000 0.003 -0.001(0.006) (0.006) (0.006) (0.006) (0.006) (0.007)

bmit -0.033 0.006** -0.033 -0.034 0.006*** 0.003(0.030) (0.002) (0.032) (0.029) (0.002) (0.002)

V Lit -0.445 -0.469 -0.632** -0.369 -0.641** -0.340(0.296) (0.282) (0.289) (0.303) (0.274) (0.295)

TOit -0.243** -0.256** -0.435*** -0.378*** -0.467*** -0.437***(0.117) (0.108) (0.129) (0.125) (0.120) (0.114)

tvit -0.029*** -0.027*** -0.031*** -0.027*** -0.028*** -0.023***(0.007) (0.008) (0.007) (0.007) (0.007) (0.007)

ROEit 0.025*** 0.026*** 0.021*** 0.026*** 0.022*** 0.029***(0.007) (0.007) (0.007) (0.007) (0.007) (0.007)

agit 0.026* 0.009* 0.024 0.028* 0.007 0.012**(0.015) (0.005) (0.015) (0.014) (0.005) (0.005)

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation are in parentheses.

34

of the irrational trading behavior of retail investors. This situation will lead to a

significant underperformance of the stock in the subsequent quarter.

It is important to differentiate the difference between the impact of change of

breadth of ownership and the level of breadth of ownership on subsequent stock

returns. The regression coefficients a1 and a2 in Table 6 show that subsequent stock

returns are more sensitive to a change in the breadth of ownership than the level of

the breadth of ownership.

The change in the breadth of ownership reflects the pattern of market’s short-

term reaction to information. If this change results in an increase in the breadth of

ownership, it indicates that retail investors have overreacted to information. This

change not only causes an overvaluation of the stock price but will subsequently

induce selling pressure due to the high frequency of retail trading. However, the level

of the breadth of ownership, a firm characteristic, is more stable than the change of

the breadth of ownership. Stocks with higher retail holdings will underperform, a

situation that is a long-term pattern in stock returns.

The coefficients of control variables are informative. As is shown in Columns 1, 3,

4 of Table 6, when I add isit to the right side of the regression, the coefficients of bmit

become negative and insignificant, and the standard errors become large because of

the high correlation between isit and bmit. However, this collinearity problem does

not affect the coefficients of brit and chit, so the results that the level of the breadth of

ownership and the change of the breadth of ownership have a significant and negative

35

impact on subsequent return are robust, after controlling for institutional holdings.

The coefficient a3 is positive and significant in Column 1, 3, 4 of Table 6, indicating a

positive relationship between institutional holding and subsequent stock return. This

finding is consistent with assumptions in this paper that institutional investors are

information-motivated so that stocks with high institutional holdings are likely to

be undervalued. Another potential channel through which institutional holding can

influence stock returns is that institutional investors have more ability and incentives

to monitor management teams than retail investors.

The coefficients of Rit are significant and negative in all but one specification.

There is a reversal effect in quarterly stock returns in the Chinese stock market,

evidence that overreactions occur, partly supporting this paper. There is also a

significant and negative relationship between turnovers and subsequent returns in

all specifications. Given that retail investors have higher trading frequencies than

institutional investors and retail trading is more speculative and irrational, a potential

explanation for this negative relationship is that retail trading results in stock prices

overreacting to information, a mispricing that is subsequently corrected.

1.4.3 Breadth of Ownership and Turnovers

Turnover, a characteristic that varies largely among firms, is a measure of the aggre-

gate frequency of trading activity, meaning it is likely that it is affected by the investor

structure. Thus, stocks with more retail investors may have higher turnover. To test

this hypothesis, I compare turnovers among stocks with difference levels of breadth

36

of ownership using the same method as for comparing raw returns. Table 7 shows

the results of turnover comparison among different breadth of ownership groups.

Table 7: Turnover Comparison for Stocks with Different Breadth of Ownership

In Panel A and Panel B, Columns 1-5 present equally weighted and value weighted average turnoversin different quintile of BRit or CHit and residuals of regressing TOit+1 on the variables on the rightside excluding brit or chit; in Panel C, Column 1-5 present the coefficient of Rit and TOit in regressionof Rit+1 on the right side variables; Column 6 shows the difference between the lowest and highestquintiles; Rit is the return for stock i in quarter t; TOit is the the daily average turnover rate forfirm i in quarter t; BRit is percentage change of the number of shareholders of firm i in quartert;brit = ln (1 +BRit);CHit is percentage change of the number of shareholders of firm i in quartert;chit = ln (1 + CHit).

Column 1 2 3 4 5 6TOit+1 Low 2 3 4 High Low-High

Panel AAvg. TOit+1 Equal W. 0.0279 0.0333 0.0352 0.0351 0.0326 -0.0048***Sort by brit Value W. 0.0275 0.0328 0.0345 0.0344 0.0320 -0.0045***Residual Equal W. -0.0012 0.0001 0.0005 0.0005 0.0001 -0.0013***Sort by brit Value W. -0.0011 0.0001 0.0005 0.0005 0.0001 -0.0012***

Panel BAvg. TOit+1 Equal W. 0.0310 0.0303 0.0303 0.0330 0.0393 -0.0083***Sort by chit Value W. 0.0303 0.0296 0.0296 0.0322 0.0384 -0.0081***Residual Equal W. -0.0009 0.0001 -0.0001 0.0001 0.0008 -0.0017***Sort by chit Value W. -0.0009 0.0001 -0.0001 0.0000 0.0007 -0.0016***

Panel CReversal Coef of Rit 0.0016 -0.0329 -0.0317 -0.0818 -0.0506 0.0522***Rit+1 on TOit Coef of TOit -0.1919 -0.2240 -0.7272 -0.7959 -0.7226 0.5307

*** indicates the coefficient is significant at the 0.01 level (2-tailed).

For both equally weighted and value weighted turnovers, stocks in the highest

breadth of ownership quintile have larger turnovers than stocks in the lowest, these

results being significant at 1%. Specifically, the daily average turnover in the subse-

quent quarter for stocks in the highest breadth quintile is 0.0045 higher than that for

these in the lowest breadth quintile.

These empirical results indicate that the level of breadth of ownership has an

impact on subsequent turnovers, results consistent with Hypothesis 3.

37

To test Hypothesis 4, I compare subsequent turnovers among different change of

breadth groups using the same method as comparing turnovers with different levels of

breadth of ownership groups. As the results in table 4 show, for both equally weighted

and value weighted turnovers, stocks in the highest change of breadth quintile have

more turnovers than stocks in the lowest change of breadth quintile, results significant

at 1%. The daily average turnover in the subsequent quarter for stocks in the highest

change of breadth quintile is 0.0081 higher than that of stocks in the lowest, results

consistent with Hypothesis 4.

To control for the impact of factors other than breadth of ownership on turnovers,

I run a Fama-MacBeth cross-sectional multivariate regression to explore the relation-

ship between future turnovers and breadth of ownership.

TOit+1 = a0 + a1isit + a2Rit + a3clit + a4βit + a5bmit

+a6V Lit + a7TOit + a8tvit + a9ROEit + a10agit + eit

(9)

First, I run a regression based on Equation 9 and obtain residuals that I then

compare in different breadth of ownership groups, using the same procedure as for the

residual comparison. These results shown in Table 7 indicate that with an increase in

the breadth of ownership, the residual moves from negative to positive, meaning there

is a variation in turnovers related to breadth of ownership that remains unexplained.

These results are consistent with the hypothesis that a higher breadth of ownership

predicts higher turnovers.

Then in each quarter for each size group, I sort the observations into 5 change of

38

breadth groups based on chit and repeat the above procedure to test how residuals

change with a change in breadth of ownership, results also reported in Table 7. With

an increase in the change in breadth of ownership, the residual moves from negative

to positive. Therefore, there is again a variation in turnovers related to change in

breadth of ownership that remains unexplained, results consistent with the hypoth-

esis that a higher change in breadth of ownership predicts higher turnovers. Using

Equation 10 as baseline model, I conduct the same Fama-MacBeth cross-sectional re-

gression procedures as for running the regression of returns on breadth of ownership.

TOit+1 = a0 + a1chit + a2brit + a3isit + a4Rit + a5clit + a6βit + a7bmit

+a8V Lit + a9TOit + a10tvit + a11ROEit + a12agit + eit

(10)

Table 8 shows these regression results. The coefficients a1 and a2 are significant

at the 1% level for all six specifications, meaning the results are very robust. For

the baseline regression shown in Column 1 in Table 8, if the number of shareholders

doubles, the daily average turnover in the subsequent quarter increases by 0.43%; and

when the change in the number of shareholders increases by 10%, the daily average

turnover increases by approximately 0.064%.

The regression results in Table 8 show that stocks with a higher breadth of own-

ership have higher turnovers in the subsequent quarter, a relationship that is statis-

tically significant and consistent with Hypothesis 3. Stocks with a higher breadth of

ownership are more typically held by retail investors, so these stocks will have higher

turnovers because these investors have higher trading frequencies than institutional

39

Table 8: Regression Results of Subsequent Turnovers on Breadth of Ownership

CLit is the closing price of firm i at the end of period t; clit = ln (CLit); Rit is the return for stock i inquarter t; TVit is the market value of tradable shares of firm i at the end of period t; tvit = ln (TVit);ISit is the percentage of firm i’s total equity held by institutional investors at the end of quartert;isit = ln (1 + ISit); CHit is the percentage change of the number of shareholders of firm i inquarter t;chit = ln (1 + CHit); BRit is the ratio of the number of shareholders to the market valueof tradable shares of firm i at the end of quarter t;brit = ln (BRit); ROEit is the return on equity offirm i in the four consecutive quarters before quarter t; AGit is the year-over-year percentage growthof total assets for firm i at the end of the quarter before quarter t;agit = ln (1 +AGit); BMit is thebook-to-market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient of firm iat the end of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is the dailyaverage turnover rate for firm i in quarter t.

Column 1 2 3 4 5 6

Dependent TOit+1

constant 0.1196*** 0.1201*** 0.0910*** 0.1151*** 0.1157*** 0.0960***(0.0231) (0.0211) (0.0151) (0.0226) (0.0209) (0.0151)

chit 0.0064*** 0.0066*** 0.0066*** 0.0068***(0.0015) (0.0014) (0.0013) (0.0012)

brit 0.0043*** 0.0044*** 0.0042*** 0.0043***(0.0011) (0.0011) (0.0011) (0.0011)

isit -0.0020 -0.0143*** -0.0015(0.0038) (0.0052) (0.0039)

Rit 0.0030 0.0027 0.0012 0.0010 0.0007 0.0009(0.0021) (0.0022) (0.0019) (0.0019) (0.0020) (0.0020)

clit 0.0048*** 0.0048*** 0.0015*** 0.0046*** 0.0046*** 0.0009(0.0008) (0.0008) (0.0005) (0.0008) (0.0008) (0.0006)

βit 0.0009*** 0.0009*** 0.0012*** 0.0007** 0.0007** 0.0014***(0.0003) (0.0003) (0.0003) (0.0003) (0.0003) (0.0003)

bmit 0.0020 -0.0002 0.0025 0.0018 -0.0002 0.0002(0.0015) (0.0002) (0.0015) (0.0014) (0.0002) (0.0003)

V Lit -0.0225 -0.0317 -0.0440 0.0045 -0.0053 -0.0636**(0.0286) (0.0282) (0.0302) (0.0304) (0.0302) (0.0310)

TOit 0.5150*** 0.5244*** 0.5556*** 0.5310*** 0.5413*** 0.5741***(0.0193) (0.0223) (0.0159) (0.0196) (0.0224) (0.0169)

tvit -0.0032*** -0.0032*** -0.0037*** -0.0031*** -0.0030*** -0.0039***(0.0006) (0.0006) (0.0007) (0.0006) (0.0006) (0.0007)

ROEit -0.0006 -0.0006 -0.0008 -0.0002 -0.0002 -0.0011*(0.0006) (0.0006) (0.0006) (0.0006) (0.0006) (0.0006)

agit 0.0021*** 0.0011*** 0.0017** 0.0024*** 0.0013*** 0.0007**(0.0006) (0.0003) (0.0007) (0.0006) (0.0003) (0.0003)

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation are in parentheses.

40

investors.

The results in Table 8 also show that stocks with a higher change in breadth of

ownership have higher turnovers in the subsequent quarter, consistent with Hypoth-

esis 4. A large increase in breadth of ownership means the shares are moving from

information-motivated institutional investors to attention-motivated retail investors.

Retail investors tend to sell their holdings quickly, while institutional investors tend

to hold them for a long period of time. Therefore, a higher increase in breadth of

ownership is indicative of subsequent higher turnovers.

While past research only focused on the change of breadth of ownership, this

study explores the possibility of a difference between the impact of change of breadth

of ownership and the level of breadth of ownership on subsequent turnovers. The

coefficients of a1 and a2 of the regressions in Table 8 show that subsequent turnovers

are more sensitive to the level of breadth of ownership, a firm characteristic, than

change of breadth of ownership, while subsequent stock returns are more sensitive

to the latter. The reason for this difference is that turnover is a firm characteristic,

while return is much more volatile.

The coefficients of the control variables add further information. The coefficient

of Rit is insignificant in all specifications, indicating stock return does not have fore-

casting power on turnover. However, turnover has a significant impact on future

stock return. Past stock returns do not influence investors’ trading frequency, but

investors’ trading frequency has an impact on future stock returns. These results are

41

consistent with the view that trading frequency is determined by investor structure

and investor structure affects stock return. Coefficient a7 indicates that there is also a

significant and positive autocorrelation in turnovers, one that is much larger than the

autocorrelation of stock return. This result is consistent with the view that turnover

is a firm characteristic and is more stable than stock return.

1.4.4 Breadth of Ownership and the Reversal Effect

The results in Table 6 show that the coefficients of past returns are negative and

significant, indicating a reversal effect in stock returns in the Chinese stock market. I

investigate whether this reversal effect is affected by breadth of ownership using the

regression specified in Equation 7. I compare the reversal effect, i.e., the coefficient a3,

for stocks among different breadth of ownership quintiles. The results shown in the

penultimate row of Table 7 show the impact of breadth of ownership on the strength

of reversal effect. The absolute value of coefficient a3 for stocks in the highest breadth

of ownership quintile is higher than that of stocks in the lowest quintile by 0.0522, a

result significant at a 1% confidence level. In addition, when the breadth of ownership

increases, the reversal effect is stronger.

I run a cross-sectional Fama-MacBeth regression with an interaction term to fur-

ther test the impact of breadth of ownership on reversal effect using the model below:

Rit+1 = a0 + a1chit + a2brit + a3isit + a4Rit + a5clit + a6βit + a7bmit + a8V Lit

+a9TOit + a10tvit + a11ROEit + a12agit + a13Rit × brit + eit

(11)

42

Table 9: Reversal Effect, Turnover-Return Relation and Breadth of Ownership

CLit is the closing price of firm i at the end of period t; clit = ln (CLit); Rit is the return for stock i inquarter t; TVit is the market value of tradable shares of firm i at the end of period t; tvit = ln (TVit);ISit is the percentage of firm i’s total equity held by institutional investors at the end of quartert;isit = ln (1 + ISit); CHit is the percentage change of the number of shareholders of firm i inquarter t;chit = ln (1 + CHit); BRit is the ratio of the number of shareholders to the market valueof tradable shares of firm i at the end of quarter t;brit = ln (BRit); ROEit is the return on equity offirm i in the four consecutive quarters before quarter t; AGit is the year-over-year percentage growthof total assets for firm i at the end of the quarter before quarter t;agit = ln (1 +AGit); BMit is thebook-to-market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient of firm iat the end of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is the dailyaverage turnover rate for firm i in quarter t.

Column 1 2 3 4 5 6

Dependent Rit+1

constant 0.521*** 0.509*** 0.705*** 0.688*** 0.715*** 0.699***(0.137) (0.138) (0.153) (0.150) (0.152) (0.152)

chit -0.083*** -0.089*** -0.088***(0.022) (0.024) (0.024)

brit -0.019*** -0.021*** -0.004 -0.006 -0.005 -0.006(0.005) (0.005) (0.004) (0.004) (0.005) (0.005)

isit 0.120** 0.127* 0.127**(0.059) (0.070) (0.062)

Rit -0.259* -0.408*** -0.056*** -0.035* -0.118 -0.295*(0.142) (0.148) (0.017) (0.019) (0.154) (0.154)

clit -0.024*** -0.021** -0.024*** -0.022** -0.025*** -0.022***(0.008) (0.008) (0.008) (0.008) (0.008) (0.008)

βit 0.002 0.003 0.002 0.003 0.002 0.003(0.006) (0.006) (0.006) (0.006) (0.006) (0.006)

bmit -0.033 0.006*** -0.039 0.006** -0.039 0.006**(0.030) (0.002) (0.033) (0.002) (0.032) (0.002)

V Lit -0.458 -0.640** -0.687 -0.642** -0.662 -0.648**(0.299) (0.282) (0.455) (0.276) (0.457) (0.280)

TOit -0.250** -0.463*** -6.094*** -6.622*** -6.278*** -6.139***(0.118) (0.120) (1.517) (1.408) (1.659) (1.268)

tvit -0.030*** -0.028*** -0.031*** -0.030*** -0.031*** -0.030***(0.007) (0.007) (0.007) (0.007) (0.007) (0.007)

ROEit 0.025*** 0.023*** 0.025*** 0.022*** 0.025*** 0.023***(0.007) (0.007) (0.007) (0.007) (0.007) (0.007)

agit 0.009** 0.008 -0.017 0.006 0.008* 0.007(0.004) (0.005) (0.028) (0.004) (0.004) (0.004)

brit ×Rit -0.003 -0.036** -0.028 -0.025*(0.018) (0.014) (0.033) (0.014)

brit × TOit -0.548*** -0.592*** -0.563*** -0.544***(0.156) (0.132) (0.174) (0.122)

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation are in parentheses.

43

Table 9 presents results from the regression testing the impact of breadth of own-

ership on the reversal effect. The coefficients of the interaction term of brit ×Rit are

negative for all specifications and significant for two, indicating stocks with a higher

breadth of ownership have a larger reversal effect, results consistent with Hypothesis

5.

De Bondt and Thaler (1985) find that the poor performing stocks earned approx-

imately 25% more than winners thirty-six months after portfolio formation. They

document that this reversal effect is due to overreaction. Stocks which have a higher

breadth of ownership have a larger number of retail investors who tend to overreact

to information compared to institutional investors. Thus, when there is information

shock, stocks with a higher breadth of ownership overreact more strongly and there

will subsequently be a stronger correction in the stock price. This result provides

evidence for the hypothesis that stocks with a higher breadth of ownership overreact

to information more significantly than those with a low breadth of ownership.

1.4.5 Breadth of Ownership and Turnover–Return Relation

The empirical results shown in Table 5 indicate a negative relationship between

turnovers and subsequent stock returns, and that the level of breadth of ownership

has a positive impact on subsequent turnover. In this section, I explore the reason

for this relationship between turnovers and subsequent stock returns, investigating

if it reflects an illiquidity premium or is a signal of market overpricing. If it reflects

the former, then the negative relationship between turnovers and subsequent stock

44

returns is stronger for firms with a lower breadth of ownership because of the higher

level of institutional holdings and institutional investors have a stronger demand for

liquidity than retail investors. However, if the relationship between turnovers and

subsequent stock returns is a signal of market overpricing, then the negative relation-

ship is stronger for firms with a higher breadth of ownership because of the higher

retail holdings and retail investors are more likely to trade irrationally, causing the

stock to be overvalued.

I test the impact of breadth of ownership on the relationship between turnovers

and subsequent stock returns using Equation 7. I compare the turnover-return re-

lations, i.e., the coefficient a7 in Equation 7, for stocks among different breadth of

ownership quintiles. The results shown in the last row of Table 4 show the impact of

breadth of ownership on the turnover–return relationship. The absolute value of co-

efficient a7 for stocks in the highest breadth of ownership quintile is higher than that

for stocks in the lowest quintile by 0.5307, and it is marginally significant at a 10%

level. When the breadth of ownership increases, the negative relationship between

turnovers and subsequent stock returns is stronger.

I run a cross-sectional Fama-MacBeth regression with an interaction term to test

further the impact of breadth of ownership on the relationship between turnovers and

subsequent stock returns using the model below:

Rit+1 = a0 + a1chit + a2brit + a3Rit + a4clit + a5βit + a6bmit + a7V Lit

+a8TOit + a9tvit + a10ROEit + a11agit + a12TOit × brit + eit

(12)

45

Table 9 presents the results of the regressions testing the impact of breadth of

ownership on turnover-return relation. The coefficients of the interaction term brit ×

TOit are negative and significant at a 1% level for all specifications, indicating the

stocks with a higher breadth of ownership have a larger negative relationship between

turnovers and subsequent stock returns, a result consistent with Hypothesis 6. This

result provides evidence that the negative turnover–return relationship is primarily

driven by overpricing caused by retail trading. There is no evidence in this paper

that the negative turnover–return relation reflects a return premium for illiquidity.

1.4.6 Breadth of ownership and factor model

Factor return, the difference in subsequent stock returns of two portfolios with dif-

ferent levels in one or more variables, measures the premium the market gives the

stocks with the feature or features forming the factor portfolio. If a feature is highly

correlated with a certain kind of risk and the market is efficient, then factor return

captures the premium the market pays for this risk. The Fama and French’s (2015)

five factors RME, SMB, HML, RMW , CMA, can be defined based on this defini-

tion and they can be linked directly to the equation in the dividend discount model

found in Miller and Modigliani (1961). If the market is not fully efficient, then the

factor return shows the pattern of the relationship between the feature which forms

the factor portfolio and the subsequent stock returns. MOM , DMC, IMD, which

are not associated with the dividend discount model, are related to the market sen-

timent. Because the Chinese stock market is an emerging market with very high

46

turnover and valuation compared with the US market, MOM , DMC, IMD may

help to explain stock return in the Chinese stock market.

DMCt is the difference in the equally weighted average returns between the high

breadth and the low breadth of ownership stock group; the former includes stocks with

a breadth of ownership above the 0.7 quantile in quarter t-1, while the low breadth

stock group includes stocks with a breadth of ownership below the 0.3 quantile in

quarter t-1. IMDt is the difference in the equally weighted average returns between

the high change in the breadth of ownership stock group and the low change group; the

former includes stocks with a change in breadth of ownership above the 0.7 quantile

in quarter t-1, while the low change in breadth stock group includes stocks with a

change of breadth of ownership below the 0.3 quantile in quarter t-1.

In the following tests, I use equally weighted returns as well as value weighted

returns as returns for the 5× 5 testing portfolios and the eight factor portfolios, each

based on a different feature. If the results are robust to the choice of value weighting

or equally weighting methods, then they are not driven by the correlation of the size

factor with other factors. Table 10 shows the time series average of both equally

weighed and value weighted factor returns.

As this table shows, the absolute value of average quarterly returns for SMB,

HML, MOM and IMD factors are more than 1.8%, and small firms with a high

book market ratio, weak prior performance and a decreased breadth of ownership

have higher returns than their counterparts. However, the factor return for DMC

47

Table 10: Descriptive Statistics and Correlation Analysis of Factors

Panel A presents equally and value weighted returns for factor portfolios; Panel B and Panel Cpresent correlation of DMCt or IMDt with other factors; RMEt is market excess return in quartert; SMBt is the difference in average returns between the small stock group and large stock group;HMLt is the difference in average returns between the high Book-Market ratio (B/M) stock groupand low B/M stock group; MOMt is the difference in average returns between the strong stock groupand weak stock group; RMWt is the difference in average returns between the robust profitabilitystock group and weak profitability stock group; CMAt is the difference in average returns betweenthe conservative investment stock group and aggressive investment stock group; DMCt is the differ-ence in average returns between the high breadth of ownership stock group and low breadth stockgroup; IMDt is the difference in average returns between the high change in breadth of ownershipstock group and low change in breadth stock group.

Column 1 2 3 4 5 6 7 8RMEt SMBt HMLt RMWt CMAt MOMt DMCt IMDt

Panel AFactor Equal 0.053* 0.039*** 0.018* -0.001 0.004 -0.028*** 0.005 -0.030***Return (0.030) (0.014) (0.009) (0.011) (0.007) (0.011) (0.012) (0.006)

Value 0.037 0.040** 0.023 0.004 -0.002 -0.025* 0.005 -0.023***(0.026) (0.017) (0.015) (0.014) (0.009) (0.013) (0.014) (0.008)

Panel BCor. w/ Equal 0.48*** 0.72*** 0.65*** -0.82*** 0.84*** -0.58*** 0.37***DMCt (0.000) (0.000) (0.000) (0.000) (0.000) (0.000) (0.004)

Value 0.39*** 0.78*** 0.64*** -0.89*** 0.84*** -0.53*** 0.60***(0.003) (0.000) (0.000) (0.000) (0.000) (0.000) (0.000)

Panel CCor. w/ Equal 0.28** 0.44*** 0.18 -0.32** 0.26* -0.59*** 0.37***IMDt (0.036) (0.001) (0.180) (0.017) (0.053) (0.000) (0.004)

Value 0.23* 0.56*** 0.44*** -0.51*** 0.41*** -0.67*** 0.60***(0.091) (0.000) (0.001) (0.000) (0.002) (0.000) (0.000)

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation (in Panel A) and P value (in Panel B andPanel C)are in parentheses.

48

is not large, and the correlation analysis in table 10 shows that DMC and IMD

are highly correlated with all other factors. Table 11 and Table 12 show the results

of regressing one factor on all other factors for equally weighted and value weighted

factor returns, respectively.

Table 11: Regression of Factors on Other Factors (Equally Weighted Factor Returns)

RMEt is market excess return in quarter t; SMBt is the difference in average returns between thesmall stock group and large stock group; HMLt is the difference in average returns between thehigh Book-Market ratio (B/M) stock group and low B/M stock group; MOMt is the difference inaverage returns between the strong stock group and weak stock group; RMWt is the difference inaverage returns between the robust profitability stock group and weak profitability stock group;CMAt is the difference in average returns between the conservative investment stock group andaggressive investment stock group; DMCt is the difference in average returns between the highbreadth of ownership stock group and low breadth stock group; IMDt is the difference in averagereturns between the high change in breadth of ownership stock group and low change in breadthstock group.

Column 1 2 3 4 5 6 7 8Dependent RME SMB HML RMW CMA MOM DMC IMDConstant -0.010 0.061*** 0.037*** 0.016** -0.002 -0.050*** -0.016* -0.051***

(0.050) (0.009) (0.011) (0.007) (0.005) (0.014) (0.009) (0.007)RME 0.009 0.029 -0.052*** -0.032** -0.130*** -0.013 -0.028

(0.036) (0.035) (0.018) (0.015) (0.041) (0.026) (0.029)SMB 0.143 -0.435*** -0.262*** 0.024 0.132 0.176* 0.320***

(0.573) (0.128) (0.070) (0.062) (0.181) (0.104) (0.107)HML 0.473 -0.441*** 0.047 -0.008 0.160 0.559*** 0.104

(0.573) (0.129) (0.080) (0.063) (0.182) (0.072) (0.116)RMW -2.697*** -0.848*** 0.149 -0.472*** -0.159 -0.238 0.125

(0.957) (0.226) (0.254) (0.090) (0.327) (0.189) (0.209)CMA -2.677** 0.127 -0.041 -0.763*** -0.388 0.481** -0.406

(1.255) (0.326) (0.324) (0.145) (0.413) (0.234) (0.260)MOM -1.290*** 0.081 0.097 -0.030 -0.046 -0.112 -0.313***

(0.410) (0.111) (0.110) (0.062) (0.049) (0.082) (0.080)DMC -0.376 0.315* 0.990*** -0.132 0.165** -0.327 0.032

(0.766) (0.186) (0.127) (0.105) (0.08) (0.240) (0.156)IMD -0.683 0.482*** 0.155 0.058 -0.117 -0.767*** 0.027

(0.697) (0.161) (0.173) (0.097) (0.075) (0.195) (0.131)Adj. R2 0.422 0.841 0.647 0.917 0.878 0.532 0.877 0.404

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation are in parentheses.

49

Table 12: Regression of Factors on Other Factors (Value Weighted Factor Returns)

RMEt is market excess return in quarter t; SMBt is the difference in average returns between thesmall stock group and large stock group; HMLt is the difference in average returns between thehigh Book-Market ratio (B/M) stock group and low B/M stock group; MOMt is the difference inaverage returns between the strong stock group and weak stock group; RMWt is the difference inaverage returns between the robust profitability stock group and weak profitability stock group;CMAt is the difference in average returns between the conservative investment stock group andaggressive investment stock group; DMCt is the difference in average returns between the highbreadth of ownership stock group and low breadth stock group; IMDt is the difference in averagereturns between the high change in breadth of ownership stock group and low change in breadthstock group.

Column 1 2 3 4 5 6 7 8Dependent RME SMB HML RMW CMA MOM DMC IMDConstant -0.013 0.057*** 0.039*** 0.017** -0.011 -0.022 -0.001 -0.047***

(0.044) (0.008) (0.013) (0.007) (0.007) (0.017) (0.007) (0.008)RME 0.002 0.027 -0.028 -0.018** -0.152*** -0.006 -0.055*

(0.037) (0.047) (0.023) (0.023) (0.052) (0.024) (0.033)SMB 0.036 -0.557*** -0.285*** 0.170** -0.242 0.058 0.339***

(0.558) (0.165) (0.080) (0.087) (0.218) (0.093) (0.124)HML 0.253 -0.337*** 0.153** 0.060 -0.151 0.378*** 0.142

(0.433) (0.100) (0.066) (0.070) (0.170) (0.049) (0.101)RMW -1.067 -0.722*** 0.639** -0.294** 0.005 -0.615*** 0.155

(0.876) (0.203) (0.278) (0.138) (0.352) (0.120) (0.211)CMA -0.685 0.425* 0.246 -0.289** 0.345 0.149 -0.323

(0.876) (0.217) (0.288) (0.135) (0.345) (0.146) (0.205)MOM -0.970*** -0.101 -0.104 0.001 0.058 0.004 -0.261***

(0.334) (0.091) (0.118) (0.058) (0.058) (0.060) (0.078)DMC -0.222 0.137 1.459*** -0.567*** 0.140 0.024 0.141

(0.853) (0.218) (0.188) (0.111) (0.137) (0.338) (0.202)IMD -0.979* 0.391*** 0.272 0.071 -0.150 -0.719*** 0.070

(0.583) (0.143) (0.193) (0.096) (0.095) (0.214) (0.100)Adj. R2 0.232 0.888 0.738 0.933 0.818 0.528 0.929 0.570

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficient issignificant at the 0.05 level (2-tailed); * indicates the coefficient is significant at the 0.10 level (2-tailed); The standard errors adjusted for autocorrelation are in parentheses.

50

For both weighting methods, IMD helps explain the factor returns of SMB and

MOM , and IMD is primarily explained by SMB and MOM . A potential expla-

nation is that SMB, MOM and IMD are all very sensitive to short term market

sentiments. The relatively low adjusted R2 and high absolute value of the constant

term in the regression of IMD on the other factors show that IMD is not fully ex-

plained by the other factors, meaning this factor may be helpful in explaining stock

returns.

For equally weighted factor returns, DMC is helpful in explaining the factor

returns of HML and CMA, and DMC is primarily explained by HML and CMA.

For value weighted factor returns, DMC is helpful in explaining the factor returns of

HML and RMW , and DMC is primarily explained by HML and RMW . Since the

level of breadth of ownership is more stable than the change of breadth of ownership,

it is a firm feature. Similarly, book market ratio, profitability and asset growth rate

are all relatively stable firm features. The relatively high adjusted R2 and the low

absolute value of the constant term in the regression of DMC on the other factors

show that DMC may have been explained by these factors. Given that the factor

return of DMC is not large, the DMC may not be very helpful in explaining stock

returns.

To test whether factors formed by the breadth of ownership IMD and change in

breadth of ownership DMC can help to explain excess stock returns, I form portfolios

to examine the pricing powers of different factor models. I compare the intercept of

51

the factor model with two new factors, i.e., the breadth factor IMD and the change

in breadth factor DMC, added to a six-factor model, with the intercepts of the one-

factor, four-factor, six-factor, and seven-factor models. I use the same method as I

used to compare abnormal return after six factors among different breadth groups

or change of breadth groups in Section 4.2. In addition to breadth and change of

breadth, I use eight additional features to group stocks and form 5 × 5 portfolios

based also on size. The eight features are βit, bmit, Rit, ROEit, agit, TOit, V Lit, clit.

More specifically, the one-factor model includes only RMEt as factor on the right

side of the factor model; the four-factor model adds SMBt, HMLt, MOMt to the

right side of this model; the six-factor model adds RMWt and CMAt to the right side

of the previous model; the seven-factor model adds DMCt to the six-factor model;

and the eight-factor model adds IMDt to the seven-factor model.

The GRS statistic found in Gibbons, Ross, and Shanken (1989) tests the hypoth-

esis that the asset pricing model includes an intercept indistinguishable from zero.

A | ai | is the average of the absolute value of the intercept for the 25 portfolios

based on the feature used to group the stocks. Ri is defined as the time series average

excess return on portforlio i; R is the average of Ri for all 25 portforlios for a given

grouping method; ri is portfolio i’s deviation from the cross-sectional average; and

ri = Ri−R. Then according to Fama and French (2015), A|ai|A|ri| is the average absolute

intercept over the average absolute value of ri. For each factor model, I calculate the

GRS statistics, A | ai | and A|ai|A|ri| for each grouping method, the results being seen in

52

Table 13 and Table 14. Table 13 shows the performance of the factor pricing models

explaining the stock returns of portfolios formed by tv× the variables of the breadth

of ownerhsip and tv× the variables of the Fama-French five factors. Table 14 shows

the performance of the factor pricing models explaining the stock returns of portfolios

formed by tv× the variables of stock market performance.

As shown in Table 13 and Table 14, the GRS statistics, A | ai | and A|ai|A|ri| for

the eight-factor model are lower than for the six-factor models for most of the 5× 5

portfolios regardless of whether equally weighting or value weighting method is used.

However, when value weighted portfolio returns and factor returns are used, the seven-

factor model is similar to the six-factor model for a majority of the 5×5 portfolios, so

the explanatory power of the breadth of ownership is not significant, but the change

of breadth factor exhibits strong explanatory power for the excess returns.

Table 13 and Table 14 also show that the eight-factor model exhibits a superior

pricing ability in explaining stock returns for portfolios formed by TV×BR, TV×CH,

as well as those formed by TV×six factors other than BR, CH, or it is used for

portfolios formed by TV×features not used as factors. However, the seven-factor

model does not have a significant superior pricing ability for these portfolio forming

methods, especially when value weighting methods are used. Thus, Hypothesis 7 is

not supported but Hypothesis 8 is.

53

Table 13: Test of Factor Models

GRS is GRS statistic of Gibbons, Ross, and Shanken (1989); A | ai | is the average of absolute value

of the intercept for 25 portfolios given the feature used to group stocks;A|ai|A|ri| is the average absolute

intercept over the average absolute value of ri;1 factor model only include RMEt as factor on theright hand side of the factor model. 4 factor model add SMBt, HMLt, MOMt on the right handside to 1 factor model. 6 factor model add RMWt and CMAt on the right hand side to 4 factormodel. 7 factor model add DMCt to 6 factor model. 8 factor model add IMDt to the 7 factormodel.

Column 1 2 3 4 5 6

GRS A | ai | A|ai|A|ri| GRS A | ai | A|ai|

A|ri|Equal W. 1 Factor tv × br 67.62 0.011 0.87 tv × ch 168.84 0.014 0.90

3 Factors 276.47 0.012 0.94 167.55 0.014 0.876 Factors 197.31 0.008 0.61 336.73 0.018 1.167 Factors 179.08 0.006 0.50 316.36 0.017 1.068 Factors 72.94 0.006 0.45 137.38 0.007 0.44

Value W. 1 Factor 131.67 0.012 0.95 198.21 0.016 1.003 Factors 193.21 0.011 0.82 193.19 0.014 0.856 Factors 113.06 0.007 0.51 187.28 0.016 1.017 Factors 112.71 0.007 0.50 187.29 0.016 1.018 Factors 57.10 0.006 0.46 104.81 0.009 0.54

Equal W. 1 Factor tv × β 65.90 0.010 0.74 tv × bm 81.72 0.010 0.753 Factors 67.97 0.005 0.41 82.22 0.007 0.516 Factors 127.71 0.006 0.48 72.28 0.006 0.487 Factors 104.50 0.006 0.43 57.47 0.005 0.398 Factors 59.75 0.007 0.56 90.94 0.006 0.49

Value W. 1 Factor 80.66 0.012 0.93 111.29 0.013 1.013 Factors 80.56 0.007 0.53 145.98 0.007 0.606 Factors 61.34 0.005 0.38 65.43 0.007 0.607 Factors 61.64 0.005 0.39 65.41 0.008 0.628 Factors 55.37 0.006 0.42 82.80 0.006 0.50

Equal W. 1 Factor tv ×ROE 67.98 0.010 0.73 tv × ag 124.95 0.012 0.883 Factors 96.85 0.008 0.59 145.46 0.011 0.856 Factors 71.46 0.006 0.49 68.01 0.006 0.487 Factors 57.01 0.005 0.38 68.98 0.006 0.428 Factors 65.06 0.005 0.41 41.11 0.005 0.39

Value W. 1 Factor 116.26 0.012 0.95 150.59 0.015 1.083 Factors 122.28 0.008 0.58 165.19 0.011 0.796 Factors 51.77 0.004 0.28 57.83 0.005 0.397 Factors 72.87 0.004 0.29 57.70 0.006 0.418 Factors 71.61 0.005 0.39 37.13 0.007 0.55

54

Table 14: Test of Factor Models

GRS is GRS statistic of Gibbons, Ross, and Shanken (1989); A | ai | is the average of absolute value

of the intercept for 25 portfolios given the feature used to group stocks;A|ai|A|ri| is the average absolute

intercept over the average absolute value of ri;1 factor model only include RMEt as factor on theright hand side of the factor model. 4 factor model add SMBt, HMLt, MOMt on the right handside to 1 factor model. 6 factor model add RMWt and CMAt on the right hand side to 4 factormodel. 7 factor model add DMCt to 6 factor model. 8 factor model add IMDt to the 7 factormodel.

Column 1 2 3 4 5 6

GRS A | ai | A|ai|A|ri| GRS A | ai | A|ai|

A|ri|Equal W. 1 Factor tv ×R 72.66 0.010 0.72 tv × cl 133.88 0.010 0.74

3 Factors 61.93 0.007 0.46 247.93 0.009 0.736 Factors 59.72 0.006 0.39 188.61 0.010 0.787 Factors 48.88 0.006 0.40 157.32 0.011 0.848 Factors 67.18 0.007 0.45 80.53 0.007 0.52

Value W. 1 Factor 151.32 0.012 0.87 149.43 0.012 0.933 Factors 140.26 0.008 0.57 183.44 0.009 0.686 Factors 80.65 0.004 0.31 128.75 0.008 0.617 Factors 88.27 0.004 0.32 128.62 0.008 0.618 Factors 88.03 0.005 0.38 99.11 0.007 0.56

Equal W. 1 Factor tv × TO 145.14 0.014 0.87 tv × V L 142.26 0.012 0.883 Factors 125.69 0.013 0.82 141.99 0.010 0.706 Factors 133.88 0.015 0.95 189.17 0.013 0.957 Factors 110.52 0.013 0.80 157.80 0.012 0.828 Factors 72.20 0.009 0.57 62.60 0.008 0.59

Value W. 1 Factor 146.18 0.017 1.00 202.39 0.015 1.093 Factors 145.48 0.013 0.80 183.90 0.011 0.766 Factors 90.27 0.013 0.77 188.25 0.011 0.807 Factors 91.82 0.013 0.77 219.88 0.011 0.818 Factors 50.61 0.009 0.56 142.12 0.009 0.61

55

1.5 Summary and Conclusions

Using data from the Chinese A share market from 2002 to 2017, I explore the impact of

breadth of ownership on stock returns, turnovers, the reversal effect and the turnover–

return relationship in the Chinese stock market and test whether breadth of ownership

and the change in the breadth of ownership are helpful in explaining excess returns

as additional factors in a factor pricing model. I obtain the following results.

First, firms with a higher breadth of ownership and a higher change in breadth of

ownership have lower returns and higher average daily turnovers in the subsequent

quarter. Furthermore, firms with a higher breadth of ownership have a stronger re-

versal effect for stock returns and a stronger negative relationship between turnovers

and subsequent stock returns. Moreover, adding breadth and change of breadth fac-

tors to a six-factor model improves the explanatory power of returns, an improvement

primarily provided for by the change of breadth factor.

These findings are consistent with the hypothesis that retail investors are attention-

motivated traders and their trading behaviors cause overreaction and mispricing in

Chinese stock market.

1.6 Appendix

1.6.1 A Model of the Breadth of Ownership, Turnover and Stock Returns

In this paper, I adapted Chen, Hong and Stein’s (2002) model to show the impact of

the irrational belief of retail investors on stock returns and turnovers by considering

the pricing of a single stock for three dates. The total supply of stock is Q shares,

56

and the stock pays a terminal dividend F + e per share on the third date, where e is

a normally distributed shock, with a mean of zero and variance of one.

There are two classes of investors in this stock, one, a group of retail investors,

the other, a group of institutional investors. The valuations of the retail investors

are distributed uniformly on the interval [S − H,S + H], where S is the average

valuation of retail investors of the stock on the third date, and H is the heterogeneity

of valuation across the retail investors group.

Each retail investor has a constant-absolute-risk-aversion (CARA) utility. The

total mass of retail investors population is normalized to be proportional to Rb ×

(S − P ), where Rb is the aggregate risk tolerance of retail investors, and P is the

current stock price. Each retail investor can afford to buy one share of the stock. If

stock price is not higher than the private valuation of a retail investor, she will buy

one share; otherwise, she will not buy the stock.

The valuation of the institutional investors group is V. The group of institutional

investors also have CARA utility, and their aggregate risk tolerance is Ra, so that

their total demand is given by Ra× (V − P ). The market-wide demand on the stock

on Date 1 or Date 2, denoted by Qd is given by:

Qd =Rb × (S − P )

2H×∫ S+H

S−H1dV +Ra × (V − P ) (13)

Setting the demand Qd equal to the supply Q, we obtain the equilibrium stock

price Pe without the short sale constraint of both groups.

57

Assume that P ≤ S −H and P ≤ V , which yields:

H <Q+ (S − V )×Ra

Ra +Rb

(14)

and

S − V <Q

Rb

(15)

If Equation 14 and Equation 15 are satisfied, then the short sale constraint is not

binding. I will not consider the situation of the short sale constraint here.

On Date 1, both groups of investors receive the same signal T denoting the expec-

tation of Date 3 value of the stock. On Date 2, retail investors receive the incorrect

signal N while institutional investors receive the correct signal F . Assuming that

N > F , the noisy value of the firm is higher than the true value. On Date 3, both

groups of investors can see the true value of the stock F +e, and the stock terminates

at this price.

Given Equation 13, the Date 1 stock price is

P1 = T − Q

Ra +Rb

(16)

Institutional investors hold shares

I1 =Ra ×QRa +Rb

(17)

And retail investors hold shares

58

R1 =Rb ×QRa +Rb

(18)

The Date 2 stock price is

P2 =N ×Rb + F ×Ra −Q

Ra +Rb

(19)

Institutional holdings become

I2 =Ra ×Rb × (F −N) +Q×Ra

Ra +Rb

(20)

Retail holdings become

R2 =Ra ×Rb × (N − F ) +Q×Rb

Ra +Rb

(21)

Assuming that there is only one institutional investor, then the number of share-

holders equals the number of retail investors. Then breadth of ownership is deter-

mined by R2. The percentage change of breadth of ownership is

CH2 =Ra × (N − F )

Q(22)

The Date 3 price is F + e

Assuming retail investors trade with institutional investors and there is no trading

within the same investor group, the turnover between Date 1 and Date 2 is

TO =Ra ×Rb × | N − F |+Q×Rb

Ra +Rb

(23)

59

The return from Date 1 to Date 2 is

RT1 =N ×Rb + F ×Ra − T × (Ra +Rb)

T × (Ra +Rb)−Q(24)

The expected return from Date 2 to Date 3 is

ERT2 =F × (Ra −Rb)

N ×Rb + F ×Ra −Q(25)

BecauseN > F , Equations 21,22,23 and 25 indicate that the breadth of ownership,

the change in the breadth of ownership and the turnovers are positively related with

N, and future stock returns are lower when N is higher. Therefore, the false belief of

the retail investors is reflected in the firms’ turnover, return and breadth of ownership.

1.6.2 Comparison of the Breadth of Ownership Among Feature Groups

To explore the determinants of breadth of ownership, I compare the breadth of owner-

ship brit in the subsequent quarter for stocks in different feature quintiles. The steps

are as follows. For each quarter in the sample period: (1) I sort the observations

equally into 5 size groups based on the market value of the tradable shares; (2) In

each size group, I sort the observations equally into 5 subgroups according to the fea-

ture variable i, so that each stock belongs to a size group and a feature group; thus,

stocks are split into 25 groups; (3) For each group, I calculate the equally weighted

average of brtfs as the breadth of this group, where f denotes feature quintiles and s

denotes size quintiles, brtfs = mean(britfs); (4) For each feature quintile, I take the

equally weighted average breadth brtf of the 5 size groups as the breadth of this fea-

60

Table 15: Comparison of Breadth of Ownership for Different Feature Groups

Columns 1-5 present equally and value weighted average BRit in quintiles of feature variables;Column 6 shows the different between the lowest and highest quintiles; CLit is the closing price offirm i at the end of period t; clit = ln (CLit); Rit is the return for stock i in quarter t; TVit is themarket value of tradable shares of firm i at the end of period t; tvit = ln (TVit); ISit is the percentageof firm i’s total equity held by institutional investors at the end of quarter t;isit = ln (1 + ISit); CHit

is the percentage change of the number of shareholders of firm i in quarter t;chit = ln (1 + CHit);BRit is the ratio of the number of shareholders to the market value of tradable shares of firm i atthe end of quarter t;brit = ln (BRit); ROEit is the return on equity of firm i in the most recent fourconsecutive quarters before quarter t; AGit is the year-over-year percentage growth of total assetfor firm i at the end of the recent quarter before quarter t;agit = ln (1 +AGit); BMit is the book tomarket equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient of firm i at theend of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is the daily averageturnover rate for firm i in quarter t.

Column 1 2 3 4 5 6brit Low 2 3 4 High Low-HighSort by tvit Equal W. 42.04 39.00 34.86 30.64 20.36 21.68***

Value W. 41.27 38.92 34.66 30.41 16.70 24.57***Sort by chit Equal W. 25.28 38.01 41.91 35.41 26.44 -1.16*

Value W. 24.58 37.10 41.03 34.52 25.72 -1.14*Sort by bmit Equal W. 24.26 27.90 32.79 37.72 44.26 -20.00***

Value W. 23.52 27.40 31.87 36.66 43.08 -19.56***Sort by βit Equal W. 24.91 32.68 36.44 36.99 35.97 -11.06***

Value W. 24.38 31.84 35.47 36.01 34.95 -10.57***Sort by ROEit Equal W. 43.06 38.57 33.88 28.61 22.76 20.30***

Value W. 42.59 38.12 33.50 28.02 22.13 20.47***Sort by agit Equal W. 39.95 36.65 33.33 30.02 26.93 13.02***

Value W. 39.04 35.82 32.51 29.19 26.25 12.79***Sort by Rit Equal W. 36.18 37.49 35.58 31.86 25.83 10.35***

Value W. 35.36 36.45 34.60 31.13 25.18 10.18***Sort by TOit Equal W. 34.23 34.76 33.54 32.40 31.97 2.27

Value W. 33.28 33.86 32.73 31.66 31.04 2.24Sort by V Lit Equal W. 32.85 34.34 33.98 33.68 32.08 0.77

Value W. 31.69 33.42 33.09 32.85 31.31 0.38Sort by clit Equal W. 52.67 39.26 32.41 25.35 17.03 35.64***

Value W. 51.41 38.62 31.85 24.99 16.71 34.70***

*** indicates the coefficient is significant at the 0.01 level (2-tailed);* indicates the coefficient issignificant at the 0.10 level (2-tailed).

61

Table 16: Comparison of Change of Breadth of Ownership for Different FeatureGroups

Columns 1-5 present equally and value weighted average CHit in quintiles of feature variables;Column 6 shows the different between the lowest and highest quintiles; CLit is the closing price offirm i at the end of period t; clit = ln (CLit); Rit is the return for stock i in quarter t; TVit is themarket value of tradable shares of firm i at the end of period t; tvit = ln (TVit); ISit is the percentageof firm i’s total equity held by institutional investors at the end of quarter t;isit = ln (1 + ISit); CHit

is the percentage change of the number of shareholders of firm i in quarter t;chit = ln (1 + CHit);BRit is the ratio of the number of shareholders to the market value of tradable shares of firm i atthe end of quarter t;brit = ln (BRit); ROEit is the return on equity of firm i in the most recent fourconsecutive quarters before quarter t; AGit is the year-over-year percentage growth of total assetfor firm i at the end of the recent quarter before quarter t;agit = ln (1 +AGit); BMit is the book tomarket equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficient of firm i at theend of quarter t; V Lit is the daily average volatility for firm i in quarter t; TOit is the daily averageturnover rate for firm i in quarter t.

Column 1 2 3 4 5 6chit Low 2 3 4 High Low-HighSort by tvit−1 Equal W. 0.0104 0.0167 0.0235 0.0387 0.0617 -0.0513***

Value W. 0.0112 0.0168 0.0239 0.0397 0.0702 -0.0590***Sort by brit−1 Equal W. 0.1126 0.0465 0.0150 -0.0057 -0.0179 0.1305***

Value W. 0.1106 0.0436 0.0130 -0.0062 -0.0179 0.1285***Sort by bmit−1 Equal W. 0.0622 0.0444 0.0288 0.0149 0.0005 0.0618***

Value W. 0.0660 0.0466 0.0303 0.0185 0.0014 0.0647***Sort by βit−1 Equal W. 0.0467 0.0304 0.0275 0.0219 0.0243 0.0224***

Value W. 0.0475 0.0310 0.0292 0.0225 0.0283 0.0192**Sort by ROEit−1 Equal W. 0.0107 0.0251 0.0320 0.0394 0.0438 -0.0331***

Value W. 0.0109 0.0259 0.0329 0.0403 0.0459 -0.0351***Sort by agit−1 Equal W. 0.0099 0.0203 0.0265 0.0374 0.0569 -0.0470***

Value W. 0.0110 0.0202 0.0275 0.0395 0.0606 -0.0497***Sort by Rit−1 Equal W. 0.0153 0.0114 0.0206 0.0361 0.0676 -0.0523***

Value W. 0.0171 0.0129 0.0219 0.0383 0.0700 -0.0529***Sort by TOit−1 Equal W. 0.0399 0.0218 0.0245 0.0311 0.0334 0.0065

Value W. 0.0412 0.0244 0.0269 0.0331 0.0352 0.0060Sort by V Lit−1 Equal W. 0.0196 0.0218 0.0256 0.0355 0.0485 -0.0289***

Value W. 0.0188 0.0255 0.0298 0.0392 0.0514 -0.0327***Sort by clit−1 Equal W. -0.0007 0.0083 0.0205 0.0405 0.0823 -0.0830***

Value W. -0.0003 0.0088 0.0232 0.0404 0.0831 -0.0834***

*** indicates the coefficient is significant at the 0.01 level (2-tailed);** indicates the coefficientis significant at the 0.05 level (2-tailed);The standard errors adjusted for autocorrelation are inparentheses.

62

ture quintile in quarter t, where brtf = mean(brtfs); (5) I take the equally weighted

time series average breadth brf for all 57 quarters as the breadth of this feature quin-

tile, where brf = mean(brtf ); (6)I calculate the difference of breadth brf of the high

and low quintiles of the feature groups. When I compare brit in different tvit quintiles,

I sort observations into size groups only once.

Table 15 reports the relationship between stock features and the breadth of owenr-

ship, the results showing brit is significantly positively related with bmit and βit, and

significantly negatively related with isit, tvit, ROEit, agit, Rit and clit. These results

are consistent with the results from the correlation analysis.

Using the same grouping and averaging procedure, I compare the change in the

breadth of ownership chit in the subsequent quarter for stocks in different feature

quintiles. Table 16 reports the relationship between stock features and the change in

breadth of ownership, the results showing that chit is significantly positively related

with isit−1, tvit−1, ROEit−1, agit−1, Rit−1, V Lit−1, clit−1, and significantly negatively

related with brit−1, bmit−1, βit−1. These results are consistent with the results from

the correlation analysis.

1.6.3 Test of Reversal Effect

I test the existence and robustness of the reversal effect further. First, I compare

subsequent stock returns among groups of stocks with different returns in the current

quarter using the same grouping method as for the comparison of stock returns among

different breadth of ownership groups.

63

Table 17: Return Comparison for Stocks with Different Current Returns

In Panel A and B, Columns 1-5 present equally weighted and value weighted average raw returnsand abnormal returns after 3 and 6 factors in quintiles of Rit; in Panel C, Column 1-5 present theresiduals of regressing Rit+1 on right side variables excluding Rit; Column 6 shows the differencebetween the lowest and highest quintiles; Rit is the return for stock i in quarter t.

column 1 2 3 4 5 6Rit+1 Rit Low 2 3 4 High Low-High

Panel AEqual W. Raw 0.0645 0.0617 0.0596 0.0508 0.0379 0.0267***

3 Factors 0.003 0.002 0.001 -0.002 -0.007 0.0106 Factors 0.000 0.000 -0.004 -0.003 -0.002 0.002

Panel BValue W. Raw 0.0631 0.0616 0.0586 0.0502 0.0374 0.0257***

3 Factors 0.000 0.002 0.001 -0.003 -0.010 0.0106 Factors -0.005 0.002 -0.001 -0.002 0.007 -0.013

Panel Cresidual Equal W. 0.0055 0.0015 -0.0003 -0.0025 -0.0043 0.0102*

Value W. 0.0051 0.0021 -0.0007 -0.0023 -0.0043 0.0098*

*** indicates the coefficient is significant at the 0.01 level (2-tailed);* indicates the coefficient issignificant at the 0.10 level (2-tailed).

Table 17 reports the subsequent stock returns among different current return

groups. For both value weighted returns and equally weighted returns, with an in-

crease in returns in the current quarter, the subsequent stock returns decrease. Stocks

in the highest current return quintile have lower subsequent stock returns than stocks

in the lowest current return quintile; however, the abnormal returns after 4 factors

and 6 factors are both not significantly different from zero. Hence, there exists a

reversal effect, but a large proportion of the negative autocorrelation in stock returns

can be explained by pricing factors.

To test the reversal effect while controlling for other firm features which affect

subsequent stock returns, I obtain residuals of Equation 9 without Rit on the right

side, and compare residuals among different Rit quintiles using the same methods

64

used for the residual comparison above. The results are shown in Table 17. With

the increase in Rit, the residual moves from positive to negative. Therefore, there

is a variation in future stock returns related to current stock returns that remains

unexplained. These results are consistent with the hypothesis that there is a reversal

effect in the Chinese stock market.

1.6.4 Test of Turnover–Return Relationship

To test the turnover–return relationship, I begin by testing for the existence and

robustness of the relationship between turnovers and subsequent stock returns. I

compare subsequent stock returns among stock groups with different turnovers in the

current quarter using the same grouping method as for the comparison of subsequent

stock returns among different current returns groups.

Table 18: Return Comparison for Stocks with Different Current Turnovers

In Panel A and B, Columns 1-5 present equally weighted and value weighted average raw returnand abnormal return after 3 and 6 factors in the quintiles of TOit; in Panel C, Column 1-5 presentthe residuals of regressing Rit+1 on the right side variables excluding TOit; Column 6 shows thedifferent between the lowest and highest quintiles; Rit is the return for stock i in quarter t; TOit isthe daily average turnover rate for firm i in quarter t.

column 1 2 3 4 5 6Rit+1 Rit Low 2 3 4 High Low-High

Panel AEqual W. Raw 0.0693 0.0644 0.0591 0.0495 0.0322 0.0371***

3 Factors 0.019 0.008 0.002 -0.007 -0.024 0.044***6 Factors 0.025 0.006 -0.002 -0.012 -0.027 0.052***

Panel BValue W. Raw 0.0682 0.0616 0.0573 0.0469 0.0319 0.0363***

3 Factors 0.016 0.005 0.001 -0.010 -0.026 0.043***6 Factors 0.023 0.005 0.000 -0.010 -0.021 0.044***

Panel CResidual Equal W. 0.0055 0.0037 0.0024 -0.0025 -0.0091 0.0143***

Value W. 0.0050 0.0031 0.0022 -0.0036 -0.0082 0.0130***

*** indicates the coefficient is significant at the 0.01 level (2-tailed).

65

Table 18 reports subsequent stock returns of different current turnover groups. For

both value weighted returns and equally weighted returns, an increase in turnovers

in the current quarter results in a decease in the subsequent stock returns. Stocks

in the highest current turnover quintile have lower subsequent stock returns than

stocks in the lowest current turnover quintile. Furthermore, the abnormal returns

after 4 factors and 6 factors are all significantly different from zero at the 1% level.

Specifically, the value weighted quarterly abnormal stock returns after 6 factors of the

highest current turnover quintile is 4.4% lower than that of the lowest current turnover

quintile. Hence, there exists a negative relationship between turnover and subsequent

stock returns which cannot be explained by common factor pricing models.

Then I obtain residuals from Equation 7 without TOit on the right side, and

compare them among the different TOit quintiles using the same method used for

residual comparison above. The results are shown in Table 18. With an increase in

TOit, the residual moves from positive to negative. Therefore, there is a variation

in future stock returns related to current turnovers that remains unexplained. These

results are consistent with the hypothesis that there is a negative relationship between

turnovers and subsequent stock returns in the Chinese stock market.

66

2 Price Limit Rule and Long-term Performance of

IPO in the Chinese Stock Market

2.1 Introduction

Poor long-term stock performance after the initial public offering (IPO) in the U.S.

stock market has been widely documented (e.g. Ritter, 1991; Loughran and Ritter,

1995; Teoh, Welch and Wong, 1998). IPO issuers in the Chinese stock market expe-

rienced a similar long-run underperformance between 2005 and 2012. However, this

phenomenon changed significantly after the launch of a new policy on IPO in the

Chinese A share market in 2014.

While a company can go public in the US stock market if it is legally registered,

a company in China must be carefully reviewed in order to obtain approval from the

China Securities Regulatory Commission(CSRC) before it can become listed on the

A share market in China. This approval system limits the supply of stocks in China,

explaining why the valuation of a listed company in China is much higher than a

similar one listed on the U.S. stock market.

Early in the 21st century, the issuing price of an IPO firm in China was decided

based on an inquiry system in which investment banks estimated the fair value of the

offering price, with the firm and its underwriters deciding the issuing price based on

this estimation. This process results in an issuing price close to the market price of

the issuing firm. In addition, to control the market risk, the Chinese stock market has

had a price limit rule for the past twenty years. Based on this rule, the stock price on

67

a trading day can change by no more than 10% of the closing price on the previous

trading day. However, there is no price limit rule on the first public trading day.

Although a circuit breaker mechanism can be enacted for stocks exhibiting extreme

fluctuation on the first day, the stock price still reaches the market price because of the

auction process before closing time. In addition, based on company law in China, a

listed company must have at least 25% of its shares held by the public if its registered

capital is less than 400 million Chinese yuan (CNY). Because of the high valuation

of an issuing price and the minimum offering amount, many companies have raised

capital several times higher than their original assets by going public; however, many

companies still may have to wait for several years to go public due to the limited

number of companies gaining approval from the CSRC each year.

However, to limit the capital raised by an IPO firm, the CSRC released a new

policy terminating this inquiry system in 2012. Based on this new policy, the issuing

price of IPO is now restricted. As a result, the issuing prices of most of the IPO

firms under this policy have a price earnings (PE) ratio of no more than 23, meaning

the issuing price will be much lower than the market price of the issuing firm, which

typically has a PE ratio of 50-100. Furthermore, the price limit rule was extended

to the first day of public trading under the new policy. As a result, the stock price

of the issuing firm can increase no more than 44% on the first public trading day.

Under this new policy, the stock prices of most IPO firms rise 44% with almost no

transactions on the first day of public trading and then continue to increase 10% with

68

very few transactions for several consecutive trading days due to the price limit rule.

Varies researchers have studied the impact of a price limit policy on stock perfor-

mance in other markets. For example, George and Hwang (1995) documented that

volatility at the open is not greater than volatility at the close for the majority of

stocks due to implicit bid-ask spreads at the open and partial price adjustment at the

close, results that are consistent with the hypothesis that price limit rules have a sig-

nificant impact on the dynamics of security prices. Another research on stocks listed

on Tokyo Stock Exchange (Kim and Rhee, 1997) found evidence that price limits

caused higher volatility levels on subsequent days, preventing prices from efficiently

reaching their equilibrium levels and interfering with trading due to this policy. The

evidence in Taiwan Stock Exchange (Kim, 2001) shows that when price limits are

made more (less) restrictive stock market volatility is usually not lower (higher).

In addition, research has also shown a negative effect of price limit rule on mar-

ket efficiency. Using data from the Kuala Lumpur Stock Exchange, Chan, Kim,

Rhee(2005) found that a price limit does not improve information asymmetry, de-

lays the arrival of informed traders, and exacerbates order imbalance. These results

suggest that price limits on individual securities do not improve the price discovery

processes but impose serious costs even when the limit band is as wide as 30%.

These studies document the short-term effect of a price limit policy; the study

reported in this paper investigates its long-term effect in the Chinese stock market.

Its empirical results found similar impact on volatility and market efficiency. In

69

addition, it also found evidence that in the long-term a price limit policy increases

stock return, turnover and β coefficient in a 2-year period after IPO. The next section

presents hypotheses guiding this study. Section 3 presents descriptive statistics of the

data and the variables, while Section 4 shows the empirical results, and Section 5

provides implications and future research needed.

2.2 the Hypothesis

In an early study of the long-term performance of the U.S. IPO firms, Ritter (1991)

found that firms conducting initial public offerings during 1975-84 substantially un-

derperformed compared to a sample of matching firms from the closing price on the

first day of public trading to their three-year anniversaries. Extending the research to

seasoned equity offerings, Loughran and Ritter (1995) found that companies issuing

stock from 1970 to 1990 through initial public offerings or seasoned equity offerings

have been poor long-run investments. An investor would have had to invest 44 per-

cent more money in these issuers than in nonissuers of the same size to have the same

wealth five years after the offering date. Similarly, Teoh, Welch and Wong (1998)

found that IPO issuers in the most aggressive quartile of earnings managers have a

three-year aftermarket stock return of approximately 20 percent less than IPO issuers

in the most conservative quartile.

The consecutive limit-up after IPO under the new Chinese policy regime of 2014

may impact the underperformance of IPO. Because these new stocks, which are on

limit-up, are on the top of the ranking list of the best performance stocks every day,

70

there may be an advertising effect, attracting risk-seeking momentum investors to

these stocks and causing a significant change in the investor structure. This advertis-

ing effect may lead to these IPO stocks being riskier and more speculative. Without

this effect, since investors are unfamiliar with these new stocks, they may soon be

forgotten by the market. This advertising effect may last for a long time if its impact

in the investor structure is permanent. Hence, I hypothesize that

H1: IPOs under the new policy regime with consecutive limit-ups will have better

long-term stock returns.

Past rsearch has found that price limit rule causes market inefficiency and larger

volatility in the short-term (Kim and Rhee, 1997; George and Hwang, 1995; Kim,

2001; Chan, Kim, Rhee, 2005). However, if the advertising effect has a long-term

effect, its impact on investor structure may also result in a long-term effect on volatil-

ities, turnovers and β coefficients. Hence, I hypothesize that

H2: IPOs under the new policy regime with consecutive limit-ups will exhibit

higher long-term volatilities.

H3: IPOs under the new policy regime with consecutive limit-ups will exhibit

more long-term turnovers.

H4: IPOs under the new policy regime with consecutive limit-ups will exhibit

higher β coefficients.

71

2.3 The Data and Variables

To assess the impact of the IPO policy, specifically the limited price system, enacted

in 2014 on the long-run performance of IPO, I use the firms under the inquiry system

from 2006 to 2012 (the former policy or before treatment), and firms under the limited

price system from 2014 to 2017 (the new policy or after treatment) in China’s A share

market as the sample of treatment groups. I selected 2006 as the beginning of the

sample period because of the non-tradable share reform in the A share market in 2005

that terminated the IPO until 2006 when it was recovered under the inquiry system.

Six firms listed at the beginning of 2014 are allocated to the old regime sample

because these stocks were traded actively and freely on the first day of public trading.

A stock is traded actively and freely on a trading day if: (1) the stock price is not at

the limit up price for the entire day; and (2) the closing price on that day is not at

the limit up price or the turnover on that day is more than 50%.

To control the impact of other factors related to time trend, I also use IPO firms

in the Hong Kong Stock Exchange (HKEx) from 2006 to 2012 (the period when IPO

firms in the A share market were listed under old regime) and 2014 to 2017 (the

period when IPO firms in the A share market are listed under new regime) as control

groups. I selected these stocks because most of the companies listed on the HKEx

operate primarily in mainland China and more than 100 Chinese companies are listed

on both HKEx and China’s A share market. Furthermore, the companies listed on

the HKEx are comparable to the companies listed on the A share market, having

72

similar exposure to the macroeconomic cycles, regulations and policies in China. All

data used in this paper are from the WIND Database, a major producer of data about

the Chinese security market.

Table 19: The Distribution of Sectors for the IPO firms

1 2 3 4 5 6 7 8A old A new H old H new

No. % No. % No. % No. %Industry 309 26.94 91 29.26 51 14.37 17 12.59Information Technology 259 22.58 64 20.58 33 9.30 17 12.59Material 198 17.26 45 14.47 57 16.06 6 4.44Optional Consumption 159 13.86 53 17.04 89 25.07 40 29.63Health Care 80 6.97 27 8.68 13 3.66 14 10.37Daily Consumption 64 5.58 19 6.11 31 8.73 9 6.67Energy 29 2.53 1 0.32 17 4.79 1 0.74Finance 26 2.27 4 1.29 21 5.92 12 8.89Real Estate 11 0.96 0 0 32 9.01 10 7.41Utilities 9 0.78 7 2.25 8 2.25 8 5.93Telecom Service 3 0.26 0 0 3 0.85 1 0.74Total 1147 100 311 100 355 100 135 100

Table 19 shows the distribution of sectors for IPO firms under both regimes for

both the A share and the HKEx markets. In the A share market under the old

regime, 26.94%, 22.58% 17.26% and 13.86% of the IPO firms are in the Information

Technology, Material, Optional Consumption, Health Care sectors, respectively, the

four with the highest number of IPO firms, while in the A share market under the

new regime, 29.26%, 20.58%, 14.47% and 17.04% of the IPO firms are in these four

sectors, respectively. Table 19 does not show a significant difference in the sector

structure of the IPO firms between the old and new regimes in the A share market.

73

These data indicate that the difference in the long-term returns, turnovers, volatilities

and β coefficients under these two regimes, if any, in the A share market cannot be

attributed to the difference in the sector structures of the IPO firms between the old

regime and the new regime. 29.26%, 20.58%, 14.47%, and 17.04% of the IPO firms

are in these sectors in the old regime while 12.59%, 12.59%, 4.44% and 29.63% of the

IPO firms are in these sectors in the new regime in the HKEx market. No significant

difference in the sector structure of the IPO firms between the old and new regimes

in the HKEx market as can be seen in Table 19. Additionally, there are only slight

differences in the sector structure of the IPO firms between the A share market and

the HKEx market under both regimes. Therefore, it is appropriate to use the IPOs

on the HKEx market as control groups in this research.

As the stock price is at the limit up price for the entire trading session with very

little trading volume on the first few days under the new regime, it is not meaningful

to use the closing price on the first day of public trading as a starting point to calculate

long-run stock performance after IPO. For this reason, I used the first active and free

trading day for the A share listed companies in the new regime and the first day of

public trading for other firms as the IPO day. In addition, I used the closing price of

the IPO day as the reference price when I calculated the long-run stock performance.

In this paper, I scaled the values of all the variables to the 2017 CNY based on the

annual CPI in China. In addition, I winsorized the main variables, i.e., market value,

raw return, turnover, volatility, IPO proceeds, β coefficient, to the highest and lowest

74

Table 20: Descriptive Statistics

Variable Market Obs Min Max Median Mean Std. ErrorMktValue A old 1147 0.94 10721 4.20 12.58 341.47(Billion CNY) A new 311 1.18 274.61 5.32 10.39 26.27

H old 355 0.49 1582 5.22 20.58 110.33H new 135 0.54 153.93 2.08 8.67 23.67

IPO Raised A old 1147 0.043 89.02 0.72 1.62 6.65Capital A new 311 0.14 31.09 0.37 0.57 2.05

H old 355 0.047 167.26 1.30 4.02 14.28H new 135 0.031 40.09 0.61 2.33 5.99

Relative A old 1147 0.0074 0.3394 0.1772 0.1733 0.0626Raised Capital A new 311 0.0111 0.1929 0.0740 0.0757 0.0345

H old 355 0.0276 0.5777 0.2565 0.2517 0.0749H new 135 0.0169 1.5068 0.2946 0.2763 0.1666

Price/Earning A old 1147 8.11 148.41 51.10 57.54 28.50Ratio A new 311 13.49 148.41 56.07 68.17 34.70

H old 355 3.99 148.41 22.18 35.14 37.22H new 135 3.88 148.41 19.64 40.18 46.28

Abnormal A old 1147 0.41 10.48 2.36 2.58 1.17PE Ratio A new 311 0.53 9.29 3.25 3.51 1.35

H old 355 0.26 17.72 1.42 2.36 2.69H new 135 0.41 16.24 2.04 4.07 4.68

Price/Book A old 1147 1.27 20.09 3.96 4.58 2.31Ratio A new 311 2.42 20.09 6.03 7.49 4.31

H old 355 0.80 20.09 6.23 8.41 6.12H new 135 0.71 20.09 5.10 8.39 7.01

Abnormal A old 1147 0.59 7.32 1.44 1.58 0.69PB Ratio A new 311 0.92 8.32 2.78 3.17 1.42

H old 355 0.33 14.71 3.12 3.92 2.78H new 135 0.57 17.39 3.97 6.51 5.41

Underpricing(%) A old 1147 -26.33 626.74 36.40 59.96 78.29A new 311 29.62 2098.88 183.66 277.56 284.97H old 331 -39.19 119.08 5.26 12.03 24.23

H new 130 -38.88 1397.22 3.87 83.88 227.27Adjusted A old 1147 -22.02 626.98 37.07 59.72 76.92Underpricing A new 311 26.74 2068.53 188.06 272.99 279.28(Composite)(%) H old 331 -35.10 115.45 4.89 11.87 23.49

H new 130 -26.78 1394.43 5.04 84.31 226.90Adjusted A old 1147 -17.54 627.39 36.20 59.34 76.69Underpricing A new 311 24.15 2067.06 190.23 270.67 276.19(SmallCap)(%) H old 331 -33.30 113.71 5.50 12.00 23.53

H new 130 -27.55 1390.22 6.16 84.91 226.4775

1 percentile when I calculate mean of variable and run regressions in this paper. I

then deleted observations with a market capital less than e20(≈ 0.49billion) CNY

based on the closing price of the IPO day. Here, e20 is a randomly picked number,

and I used an exponential value because the market value is logarithmic in this paper.

As is shown in Table 20, the median of market value at the closing price of IPO day

is similar for the companies listed on the A share and the HKEx markets under the

old IPO regime. However, the IPO firms on the A share market have a larger market

value than those on the HKEx market under the new IPO regime. The variances in

the market value for the IPO firms under both regime for both markets.

The median of the capital raised in IPO is large for the HKEx listed firms than

that for the A share firms under both regimes. There is a decline in the median of

capital raised in the IPO under new regime for both markets; however, the decline in

the A share market is more significant due to the limited price policy.

The relative raised capital is the ratio of capital raised in the IPO to the market

value at the closing price of the IPO day. The Chinese A share IPO firms have lower

relative raised capital under both regimes than the HKEx IPO firms, and the relative

raised capital declined sharply under the new regime for A share IPOs because of the

limited price policy while it increased for the HKEx IPOs.

Since some stocks exhibited negative net incomes or very small net incomes relative

to their market values, their price earnings ratio is meaningless. I winsorized the PE

ratio similar to winsorizing the market capital. If a company has a negative net

76

income or a PE ratio larger than e5(≈ 148.41), I assigned a PE ratio of e5 to it. I

used the total net income over the last four quarters before IPO to calculate the PE

ratio.

Under both regimes, the median PE ratio at the closing price on IPO day for the

A share IPO firms is 2-3 times higher than that for the HKEx IPO firms. During

the sample period of the new regime, the median PE increased in the A share market

and decreased in the HKEx market. The high PE ratio of the A share IPO reflects

the fact that the supply of stocks in the A share market is restricted because of the

approval IPO system.

The abnormal PE ratio is the ratio of the PE of the IPO firms to the PE of the

stock index. I used the CSI All Share Index for the A share IPO firms and the Hang

Seng Composite Index for HKEx IPO firms. An abnormal PE higher than 1 indicates

that the stock price has a premium relative to the average market level.

The medians of the abnormal PE ratios indicate premiums in the stock price of

IPO firms in both markets under both regimes. IPO firms on the A share market

have much higher stock price premiums than those on the HKEx market, and the

premiums increased under the new regime for both markets.

Since some stocks have negative book values or very small book values relative

to their market values, their price to book ratios are meaningless. I winsorized the

PB ratio similar to winsorizing the market capital.If a company has a negative book

value or a PB ratio larger than e3(≈ 20.09), I assigned a PB ratio of e3 to it. I used

77

the book value in the most recent quarter before the IPO plus the capital raised in

the IPO as the book value to calculate the PB ratio.

Under the old regime, the median PB ratio at the closing price on the IPO day

for the A share firms is higher than for the HKEx IPO firms, while this relationship

reverses under the new regime, as the median PB increased on the A share market

and decreased on the HKEx market. The higher PB ratio of the A share IPO under

the new regime results from the fact that the valuation of the IPO firms increased

and the capital raised in the IPO decreased.

The abnormal PB ratio is the ratio of the PB of the IPO firm to the PB of the

stock index. I used the CSI All Share Index for the A share IPO firms and the Hang

Seng Composite Index for the HKEx IPO firms. An abnormal PB higher than 1

indicates that the stock price has a premium relative to the average market level.

The medians of the abnormal PB ratios indicate premiums in the stock prices of

IPO firms in both markets under both regimes. The IPO firms in the A share market

exhibit much lower stock price premiums than those in the HKEx market, and the

premiums increased under the new regime for both markets with the increase in the

A share market more significant.

IPO underpricing is the percentage change of the closing price on the IPO day

relative to the issuing price. The underpricing of an A share IPO is much higher than

that of an HKEx IPO under both the old and new regime. The underpricing shows a

significant increase under the new regime for the A share IPO while it remains stable

78

for the HKEx IPO. This strong increase in underpricing on the A share market is due

to the restricted issuing price policy.

The adjusted underpricing is the difference between this raw underpricing and the

stock return of the market over the same period. First, I use the composite index

from both the A share and the HKEx markets, i.e., the CSI All Share Index for the

A share market and the Hang Seng Composite Index for the HKEx market, finding

that the adjusted underpricing is similar to the raw underpricing.

Then, I use the small market capital index in both the A share and the HKEx

markets i.e., the CSI 1000 Index for the A share market and the Hang Seng HK

SmallCap Index for the HKEx market as index because most of the IPO firms are

small market capital firms and the composite index is primarily determined by the

performance of big market capital firms. However, the adjusted underpricing is still

similar to the raw underpricing because the time interval between the issuing day and

the IPO day is short.

I calculate the cumulative returns between the IPO day and 24 months after the

IPO day for both markets and under both regimes. The results, seen in Table 21,

show that the median 2-year average returns are similar for both the A share IPO

firms and the HKEx IPO firms under the old regime, and they are both negative.

While the median 2-year average returns for both markets increase under the new

regime, the increase for the A share IPO firms is larger. In addition, the median of

the 2-year raw returns of the A share IPO firms becomes positive while the median

79

Table 21: Long term performance of IPO

Variable Market Obs Min Max Median Mean Std. ErrorRaw Return A old 1147 -79.11 472.23 -23.37 -6.08 62.61(24 Month)(%) A new 311 -79.60 375.87 20.84 36.26 81.24

H old 355 -87.92 425.20 -31.11 -10.38 71.87H new 135 -93.12 1338.95 -20.76 0.68 141.14

Adjusted A old 1147 -157.15 489.61 -9.59 4.05 58.66Return A new 311 -85.38 375.21 15.78 30.33 71.50(Composite)(%) H old 355 -86.93 342.63 -23.51 -5.37 65.39

H new 135 -91.89 1342.21 -13.97 7.88 141.25Adjusted A old 1147 -183.60 489.66 -14.98 -6.33 56.35Return A new 311 -89.98 373.02 13.15 26.66 70.28(SmallCap)(%) H old 355 -180.36 337.54 -13.06 2.31 63.36

H new 135 -85.03 1346.95 -0.83 18.88 140.22Raw Daily A old 1147 0.90 14.00 4.56 4.97 2.14Turnover A new 311 2.53 14.48 7.61 7.77 2.21(24 Month)(%) H old 355 0.00 2.67 0.25 0.35 0.35

H new 135 0.01 2.10 0.28 0.33 0.29Adjusted Daily A old 1147 -0.80 13.40 3.49 3.91 2.25Turnover A new 311 1.43 13.00 6.31 6.42 2.22(Composite)(%) H old 355 -0.38 2.38 -0.08 0.03 0.35

H new 135 -0.27 1.82 0.00 0.06 0.28Raw Daily A old 1147 0.98 4.72 2.79 2.89 0.60Volatility A new 311 2.05 5.18 3.66 3.68 0.45(24 Month)(%) H old 355 1.03 5.84 3.09 3.12 0.85

H new 135 0.67 7.51 3.16 3.31 1.21Adjusted Daily A old 1147 -0.42 2.53 1.27 1.27 0.42Volatility A new 311 0.48 3.37 1.92 1.90 0.43(Composite)(%) H old 355 -0.09 3.72 1.55 1.56 0.65

H new 135 -0.42 6.30 2.00 2.15 1.20Adjusted Daily A old 1147 -0.65 2.30 1.04 1.04 0.42Volatility A new 311 0.08 3.08 1.56 1.55 0.43(SmallCap)(%) H old 355 -0.21 4.14 1.66 1.67 0.72

H new 135 -0.68 6.07 1.80 1.95 1.19β A old 1147 0.35 1.95 1.06 1.07 0.23(24 Month) A new 311 0.26 2.11 1.24 1.23 0.33(Composite) H old 355 -1.05 2.12 0.87 0.87 0.47

H new 135 -0.19 2.06 0.77 0.84 0.50β A old 1147 0.14 1.90 0.98 0.97 0.22(24 Month) A new 311 0.22 1.66 1.01 1.02 0.28(SmallCap) H old 355 -0.56 1.98 0.87 0.84 0.42

H new 135 -0.15 1.99 0.73 0.78 0.4880

for HKEx IPO firms remains negative.

Next, I calculate the market adjusted cumulative returns between the IPO day

and 24 months after the IPO day for both markets and under both regimes. First,

I use the composite index as the market index. The medians of the 2-year adjusted

returns are negative for both markets under the old regime; however, the adjusted

returns increase significantly and become positive for the A share IPO firms under

the new regime while the adjusted returns increase slightly and remain negative for

the HKEx IPO firms. When I use the small market capital index as the market index

to calculate the adjusted returns, the results are similar.

To investigate the liquidity of stocks after the IPO, I calculate the average daily

turnovers between the IPO day and 24 months after the IPO day for both markets

and under both regimes. The medians of the 2-year average daily turnovers for the

A share IPO firms are much larger than those of the HKEx IPO firms under both

regimes. The medians of the 2-year average daily turnovers of both the markets

increase under the new regime; however, the increase for the A share IPO firms is

much larger.

Then, I calculate the adjusted daily average turnovers for the time period between

the IPO day and 24 months after the IPO day. Adjusted turnover is the difference

between the turnover of a firm and the turnover of the composite index on the same

day. The medians of the daily adjusted average turnovers for the HKEx IPO firms

are around zero under both regimes, while the medians of the daily adjusted average

81

turnovers for the A share IPO firms are much higher under both regimes, with the

median of the turnovers increasing under the new regime.

To investigate the volatility of the stocks after the IPO, I calculate the average

daily volatilities between the IPO day and 24 months after the IPO day for both

markets and under both regimes. The median of the 2-year average daily volatility

for the A share IPO firms is lower than that of the HKEx IPO firms under old regime,

a relationship that reverses under new regime. The medians of the 2-year average

daily volatility of both markets increase under the new regime; however, the increase

for the A share IPO firms is much larger.

Next, I calculate the adjusted daily average volatility over the time period between

the IPO day and 24 months after the IPO day. First, I calculate the adjusted volatility

using the difference between the volatility of a firm and the volatility of the composite

index on the same day. The medians of the daily adjusted average volatility for both

the A share IPO firms and the HKEx IPO firms increase under the new regime;

however, the increase in the former is significantly larger under the new regime.

Then, I use the small market capital index as the market index to calculate the

adjusted volatility, finding that the median of the adjusted average volatility increases

significantly for A share IPO firms under the new regime while increasing slightly for

the HKEx IPO firms.

To investigate the β coefficient of the stocks after the IPO, I calculate them using

the weekly returns from the time period between the IPO day and 24 months after

82

Figure 1: Mean of cumulative abnormal return after IPO (Composite index)

the IPO day. First, I calculate the β coefficients using the composite index as the

market index. Under both regimes, the medians of the β coefficients for the A share

IPO firms are larger than those for the HKEx IPO firms. However, this median for

the A share IPO firms increases under the new regime, while it decreases for the

HKEx IPO firms. Then, I use the small market capital index as the market index

to calculate the β coefficients. The results are similar except that the increase in the

median of β coefficients for the A share IPO firms under new regime is smaller than

when composite index is used to calculate them.

2.4 Long-Term Performance of the IPO

2.4.1 Performance by month

Table 22 presents the 2-year cumulative average adjusted returns after the IPO. The

adjusted return is the difference between the raw return and the return of the com-

posite index of the respective market on which the stock is listed. The first three

columns deal with the A share market, the following three deal with the HKEx mar-

83

Table 22: Mean of cumulative abnormal return after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 -4.88 10.41 15.29 -1.09 -1.62 -0.53 15.83***(2.73)2 -5.69 7.21 12.89 -1.90 5.62 7.52 5.37*(3.08)3 -7.63 9.90 17.53 -3.26 14.71 17.97 -0.44(3.78)4 -8.26 14.93 23.19 -3.84 15.29 19.13 4.06(4.14)5 -8.20 22.07 30.27 -3.19 12.65 15.85 14.42***(4.69)6 -8.58 19.37 27.96 -3.94 12.22 16.17 11.79**(4.86)7 -8.76 18.67 27.42 -3.65 16.88 20.54 6.89(5.61)8 -10.17 22.05 32.22 -4.65 20.00 24.64 7.58(5.98)9 -11.10 27.90 39.00 -5.34 24.15 29.49 9.51(6.26)10 -11.15 29.96 41.11 -6.51 28.01 34.53 6.59(6.93)11 -11.55 22.29 33.84 -6.28 30.21 36.48 -2.64(7.10)12 -13.17 21.92 35.09 -6.14 27.53 33.67 1.43(7.20)13 -12.39 23.42 35.81 -5.53 25.50 31.02 4.79(7.31)14 -11.24 26.48 37.72 -6.36 29.84 36.19 1.53(7.92)15 -10.00 28.18 38.18 -6.68 34.10 40.78 -2.60(8.27)16 -7.80 34.94 42.74 -7.57 32.52 40.09 2.65(8.16)17 -6.34 34.14 40.49 -7.16 29.74 36.90 3.58(7.82)18 -5.07 30.05 35.13 -6.85 26.63 33.48 1.65(7.43)19 -3.18 26.10 29.28 -6.94 23.45 30.39 -1.11(7.41)20 -1.40 28.93 30.33 -5.41 22.80 28.21 2.12(7.46)21 -0.75 33.01 33.76 -5.37 22.52 27.89 5.87(7.64)22 1.22 34.75 33.53 -5.99 20.24 26.23 7.30(7.60)23 2.59 33.83 31.23 -4.86 17.44 22.30 8.94(7.69)24 4.05 30.33 26.28 -5.37 7.88 13.24 13.03*(7.23)

ket, and the last column shows the difference between these markets. Columns 1 and

2 show the cumulative average adjusted returns of the IPO firms under the old and

new regimes in the A share market, while Column 3 shows the difference between the

returns of the IPO in the A share market under the new and old regimes. Columns 4

and 5 show the cumulative average adjusted returns of the IPO firms under the old

84

Figure 2: Median of cumulative abnormal return after IPO (Composite index)

and new regimes in the HKEx market. Column 6 shows the difference between the

returns of the IPO in the HKEx market under the new and old regimes. Column 7

shows the difference between the return differences in Columns 3 and 6, which is the

difference in differences of cumulative returns between new and old regime between

A share market and HKEx market. As Columns 3 and 6 show, both the A share IPO

firms and the HKEx IPO firms have better long-term performance under new regime

than the old. However, Column 7 and Figure 1 show that the difference in differences

return is 15.83% and at the maximum at the end of the first month after the IPO,

then remains positive for most of the months afterward. The 2-year cumulative dif-

ference in differences return is 13.03% and is significantly different from zero at the

10% confidence level. As this comparison shows, the performance of the IPO in the

A share market under the new regime is much better than that under the old regime,

even after controlling for the change in performance of the IPO in the HKEx market

over the same periods.

85

Table 23: Median of cumulative abnormal return after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 -6.36 0.67 7.03 -2.43 -2.97 -0.54 7.572 -8.53 -0.59 7.94 -6.17 -4.74 1.43 6.503 -11.02 1.35 12.37 -8.50 -1.29 7.21 5.164 -11.64 1.11 12.75 -8.31 -0.20 8.11 4.645 -10.96 9.91 20.87 -8.50 -1.43 7.08 13.806 -10.40 11.61 22.01 -9.70 -3.50 6.20 15.817 -9.86 9.74 19.60 -11.72 -6.86 4.86 14.748 -10.80 13.34 24.13 -10.72 -6.04 4.69 19.459 -10.82 17.62 28.44 -13.06 -2.12 10.94 17.5010 -10.67 15.69 26.36 -13.92 -3.38 10.54 15.8211 -11.28 14.32 25.59 -15.12 -3.95 11.17 14.4212 -13.10 14.67 27.78 -16.46 -3.39 13.07 14.7013 -13.06 15.20 28.26 -18.34 -3.49 14.85 13.4114 -13.04 16.80 29.84 -18.26 -2.14 16.12 13.7215 -12.80 17.62 30.42 -16.82 -4.87 11.94 18.4816 -11.72 20.66 32.38 -20.58 -5.58 15.00 17.3817 -11.70 22.69 34.39 -20.19 -8.13 12.06 22.3218 -11.83 20.83 32.66 -20.63 -7.92 12.72 19.9419 -12.15 18.60 30.76 -21.59 -8.04 13.54 17.2120 -11.02 18.21 29.23 -20.57 -9.81 10.75 18.4821 -10.38 20.78 31.16 -22.24 -11.67 10.57 20.5922 -10.14 20.35 30.49 -22.10 -12.18 9.92 20.5723 -10.25 20.80 31.05 -22.28 -12.40 9.87 21.1824 -9.59 15.78 25.37 -23.51 -13.97 9.54 15.83

However, the difference in differences returns shown in Column 7 of Table 22 is

not stable, perhaps because several extreme values affect the results. To address this

issue, I repeat the process shown in Table 22 but use the median of the returns instead

of the mean, with the results being shown in Table 23. The difference in differences of

the median returns shown in Column 7 of Table 23 and Figure 2 increases gradually,

86

remaining at a high level for more than a year. These results indicate that the

superior performance of the A share IPO under the new regime compared to the old

one relative to the HKEx market IPO is not driven by extreme values.

Table 24: Mean of cumulative abnormal return after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 -5.79 9.99 15.78 -0.64 -1.26 0.88 14.90***(2.64)2 -7.00 6.81 13.81 -1.31 6.48 12.94 0.88(3.04)3 -9.98 8.17 18.15 -1.97 15.04 17.01 1.15(3.76)4 -11.15 12.31 23.46 -1.78 15.68 17.47 5.99(4.16)5 -11.46 18.87 30.33 -0.82 12.99 13.81 16.53***(4.70)6 -12.02 16.14 28.15 -1.49 13.04 14.53 13.62***(4.91)7 -12.24 14.54 26.78 -1.03 19.52 20.56 6.22(5.58)8 -13.78 16.16 29.95 -1.59 22.38 23.98 5.97(5.92)9 -14.83 21.16 35.99 -1.61 26.02 27.64 8.35(6.19)10 -14.79 23.20 37.99 -1.87 28.81 30.68 7.31(6.74)11 -14.95 17.99 32.94 -1.73 30.91 32.64 0.30(6.84)12 -16.99 17.21 34.19 -0.80 30.40 31.19 3.00(6.96)13 -16.92 17.91 34.84 -0.51 29.55 30.05 4.78(7.13)14 -16.56 20.04 36.60 -0.97 34.44 35.41 1.19(7.75)15 -15.80 21.12 36.92 -0.99 38.65 39.63 -2.71(8.14)16 -14.52 23.65 38.17 -1.56 37.59 39.15 -0.97(8.03)17 -13.57 24.48 38.06 -0.96 35.27 36.23 1.83(7.74)18 -12.72 22.15 34.87 -0.77 33.06 33.83 1.04(7.32)19 -11.60 19.15 30.75 -0.77 30.83 31.60 -0.85(7.32)20 -10.10 22.05 32.15 0.42 30.44 30.03 2.12(7.34)21 -9.62 25.33 34.95 1.11 30.73 29.62 5.33(7.49)22 -8.05 27.00 35.06 1.28 29.28 28.01 7.05(7.38)23 -7.16 27.33 34.49 2.34 27.71 25.37 9.12(7.47)24 -6.33 26.66 32.99 2.31 18.88 16.57 16.42**(7.02)

In addition, it is possible that these results are driven by the good performance

of small capital stocks during the period of new regime because most of the IPO

87

Figure 3: Mean of cumulative abnormal return after IPO (SmallCap index)

Figure 4: Median of cumulative abnormal return after IPO (SmallCap index)

firms are small. To explore this situation, I repeat the test seen in Table 22 but use

the SmallCap index instead of the composite index of the respective markets. The

results shown in Column 7 of Table 24 and Figure 3 indicate that the difference in

differences of the average return is larger when the SmallCap indices are used than

when the composite indices are used. The 2-year cumulative difference in differences

return is 16.42% and is significantly different from zero at a 5% confidence level. As

this analysis suggests, the results are not caused by the superior performance of the

small capital firms relative to the market average.

88

Table 25: Median of cumulative abnormal return after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 -7.42 -0.35 7.07 -2.14 -2.34 -0.20 7.272 -9.47 -0.25 9.22 -6.46 -2.38 4.08 5.143 -11.83 0.28 12.11 -6.48 0.72 7.20 4.904 -12.73 2.41 15.14 -5.29 3.68 8.97 6.175 -12.68 7.65 20.33 -5.42 -0.73 4.69 15.646 -12.71 8.39 20.09 -6.36 0.37 6.73 14.367 -12.08 7.15 19.23 -7.36 -0.37 6.99 12.248 -13.14 7.82 20.96 -7.51 -2.33 5.18 15.789 -13.00 12.92 25.92 -8.66 -0.24 8.42 17.5110 -12.77 11.31 24.09 -8.76 0.49 9.25 14.8311 -13.26 10.71 23.97 -9.82 -2.58 7.24 16.7312 -14.92 8.46 23.39 -9.86 2.14 11.99 11.3913 -15.05 10.47 25.52 -11.29 0.96 12.25 13.2714 -15.46 8.36 23.82 -12.77 3.90 16.67 7.1415 -15.63 11.62 27.25 -10.25 1.10 11.35 15.9016 -15.88 10.00 25.88 -12.39 -0.21 12.18 13.7017 -16.11 12.51 28.62 -11.32 0.56 11.88 16.7418 -15.63 11.71 27.34 -11.76 -0.40 11.37 15.9719 -15.34 11.66 27.00 -13.14 0.66 13.80 13.2020 -14.95 12.62 27.57 -12.65 -1.73 10.93 16.6421 -14.91 15.32 30.23 -15.85 -1.22 14.63 15.6022 -14.46 14.74 29.20 -14.39 -2.15 12.24 16.9623 -14.24 14.93 29.17 -14.65 -2.58 12.07 17.1024 -14.98 13.15 28.13 -13.06 -0.83 12.23 15.90

To rule out the impact of extreme values and the impact of the good performance

of the small firms, I repeat the test shown in Table 24 but using the median of the

cumulative adjusted returns instead of the mean returns. Table 25 and Figure 4 show

that the difference in differences of median return increases steadily and remains at a

high level for more than 1 and half years, meaning the results are not caused by the

89

Figure 5: Mean of adjusted turnover after IPO (Composite index)

impact of these two factors.

These analyses show that the IPO firms in the A share market under the new

regime exhibit much better performance within 2 years of IPO than those under the

old regime, even after controlling for the change in performance of the IPO in the

HKEx market. This difference in performance is observed from the first month after

the IPO and it increases for several months, maintaining at a high level for more than

a year. If I do not consider the change in performance of the IPO firms in the HKEx

market, then the results in Column 3 in the tables above show that the improvement

of the long-term performance of the IPO under the new regime relative to the old

regime is approximately 30%, even larger than when the HKEx IPO firms are used

as control group.

Table 26 presents the mean of the adjusted daily average turnovers within 2 years

after the IPO. The daily turnover is the ratio of the daily volume to the total tradable

shares outstanding. The adjusted daily average turnover in a given month is the dif-

90

Table 26: Mean of adjusted turnover after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 13.95 18.93 4.98 1.05 1.07 0.02 4.96***(0.73)2 6.42 12.85 6.43 0.16 0.27 0.11 6.32***(0.53)3 5.19 9.77 4.58 0.04 0.15 0.11 4.47***(0.45)4 5.14 9.02 3.89 -0.02 0.05 0.07 3.82***(0.42)5 4.22 8.90 4.68 -0.05 0.02 0.07 4.61***(0.41)6 3.75 8.25 4.51 -0.03 0.04 0.07 4.44***(0.39)7 3.54 7.08 3.53 -0.02 -0.01 0.01 3.53***(0.38)8 3.32 6.85 3.53 -0.02 -0.05 -0.03 3.56***(0.36)9 3.10 7.24 4.15 -0.04 -0.05 -0.00 4.15***(0.36)10 3.34 6.82 3.48 -0.02 -0.04 -0.02 3.50***(0.37)11 3.17 6.01 2.84 -0.05 -0.07 -0.02 2.86***(0.37)12 3.17 5.23 2.06 -0.04 -0.04 0.00 2.06***(0.35)13 2.93 4.77 1.84 -0.04 0.00 0.04 1.79***(0.35)14 2.93 4.25 1.31 -0.04 -0.00 0.04 1.27***(0.34)15 3.02 4.05 1.04 -0.04 -0.02 0.02 1.01***(0.35)16 2.96 4.16 1.21 -0.03 -0.04 -0.01 1.22***(0.35)17 2.91 4.33 1.42 -0.02 -0.02 0.01 1.42***(0.35)18 2.96 4.11 1.15 -0.03 -0.04 -0.01 1.15***(0.37)19 2.80 3.52 0.72 -0.05 -0.01 0.03 0.69**(0.33)20 2.87 3.55 0.68 -0.05 -0.03 0.02 0.66*(0.34)21 2.81 3.74 0.93 -0.07 0.03 0.11 0.83**(0.34)22 2.75 3.53 0.78 -0.05 -0.00 0.05 0.74**(0.33)23 2.82 3.32 0.49 -0.04 0.01 0.05 0.44(0.35)24 2.90 3.07 0.16 -0.03 -0.00 0.03 0.14(0.35)

ference between the daily average turnover of a stock and the daily average turnover

of the composite index of the respective market on which the stock is listed. Similar

to the previous tables, the first three columns show data of the A share market, the

following three columns exhibit data of the HKEx market, and the last column pro-

vides the difference between these two markets. Columns 1 and 2 show the adjusted

91

daily average turnovers of the IPO firms under the old and new regimes in the A

share market, while Column 3 shows the difference between the turnovers of the IPO

in the A share market under the new and old regimes, and Column 4 and 5 show

the adjusted daily average turnovers of the IPO firms under the old and new regimes

in the HKEx market. Column 6 shows the difference between the turnovers of the

IPO in the HKEx market under the new and old regimes, and Column 7 shows the

difference between the turnover differences in Column 3 and 6, which is the difference

in differences of the turnovers between the new and old regime between the A share

market and the HKEx market.

As seen in Columns 1 and 2 in Table 26, the IPO firms in the A share market

have more daily turnovers than the market average for at least 2 years under both

the old and new regimes. Column 3 shows that the average daily turnover of the IPO

firms in the A share market under the new regime is significantly larger than that

of the IPO firms under the old regime for more than 1 year, although this difference

decreases gradually and decreases to almost zero 2 years after the IPO. Columns 4

and 5 show that the daily turnover of the IPO firms in the HKEx market is similar

to the market average from the second month after the IPO under both new and

old regimes. Column 7 and Figure 5 show that it takes approximately 2 years for

the difference in differences turnover to become zero after the IPO. The difference in

differences turnover is significantly different from zero at a 1% confidence level during

the first 18 months, meaning the turnover of the IPO in the A share market under the

92

new regime is larger than that under the old regime for as long as 2 years compared

to the turnover of the IPO in the HKEx market over the same period.

Table 27: Median of adjusted turnover after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 13.17 17.74 4.57 0.50 0.28 -0.21 4.792 5.43 11.66 6.23 -0.02 -0.02 0.00 6.233 4.27 8.69 4.43 -0.10 -0.01 0.08 4.344 4.35 7.99 3.65 -0.13 -0.10 0.03 3.625 3.44 8.10 4.67 -0.16 -0.10 0.05 4.616 2.94 7.99 5.05 -0.15 -0.12 0.03 5.027 2.66 6.29 3.64 -0.15 -0.12 0.04 3.608 2.43 6.59 4.16 -0.16 -0.12 0.04 4.129 2.41 6.46 4.05 -0.16 -0.13 0.02 4.0210 2.42 6.11 3.69 -0.14 -0.13 0.01 3.6811 2.28 5.11 2.83 -0.17 -0.14 0.03 2.8012 2.36 4.45 2.09 -0.17 -0.12 0.05 2.0513 1.96 4.11 2.15 -0.15 -0.10 0.05 2.1014 1.99 3.65 1.65 -0.17 -0.11 0.06 1.6015 1.95 3.58 1.63 -0.16 -0.12 0.04 1.5916 1.80 3.25 1.45 -0.16 -0.09 0.07 1.3817 1.87 3.41 1.53 -0.15 -0.11 0.05 1.4818 1.78 2.82 1.05 -0.15 -0.10 0.05 0.9919 1.80 2.36 0.56 -0.18 -0.11 0.07 0.4920 1.89 2.42 0.53 -0.15 -0.10 0.05 0.4821 1.83 2.67 0.84 -0.16 -0.11 0.05 0.7822 1.93 2.10 0.17 -0.16 -0.10 0.06 0.1123 1.91 1.81 -0.10 -0.15 -0.10 0.06 -0.1624 1.89 1.76 -0.12 -0.14 -0.09 0.05 -0.17

It is possible that outliers may affect the results shown in Table 26. For this

reason, I repeat the process leading to the results seen in Table 26 using the median

of the adjusted daily average turnovers instead of the mean; these results can be seen

93

Figure 6: Median of adjusted turnover after IPO (Composite index)

in Table 27. The difference in differences of the median turnovers shown in Column

7 of this table and Figure 6 decreases gradually from a very high level to zero, a

pattern similar to that shown in Column 7 of Table 26. This similarity shows that

the larger turnover of the A share IPO under the new regime compared to the old

regime relative to the HKEx market IPO is not driven by outliers.

These analyses show that the IPO firms in the A share market under the new

regime have a much higher turnover than those under the old regime for more than

1 year, even when controlling for the pattern of turnovers of the IPO in the HKEx

market. If I do not consider the turnovers of the IPO firms in the HKEx market,

then the results in Column 3 in the previous two tables show that the increase of the

adjusted daily turnover of the IPO under the new regime compared to the old regime

is more than 2% for the first year after the IPO. Considering that the A share market

has a T+0 trading mechanism, i.e., investors cannot sell their stocks on the same day

as they buy them, this difference in turnover is significant economically. And results

94

seen in Columns 1 and 2 of these two tables indicate that the daily turnovers of the

IPO firms in the A share market under the new regime decrease to a stable level 1

year later than those under the old regime after the IPO.

Table 28: Mean of adjusted volatility after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 1.91 3.60 1.69 2.18 4.09 1.91 -0.22(0.19)2 1.32 2.66 1.34 1.47 3.06 1.58 -0.24*(0.15)3 1.27 2.51 1.24 1.43 2.44 1.01 0.23*(0.12)4 1.25 2.18 0.93 1.35 2.60 1.26 -0.32**(0.13)5 1.23 2.29 1.06 1.37 2.31 0.94 0.12(0.13)6 1.19 2.16 0.97 1.56 2.48 0.92 0.05(0.13)7 1.17 1.98 0.81 1.43 2.09 0.66 0.15(0.13)8 1.19 2.00 0.82 1.39 1.95 0.57 0.25**(0.12)9 1.17 2.07 0.91 1.48 2.12 0.63 0.27**(0.12)10 1.25 1.93 0.68 1.67 2.15 0.49 0.20(0.13)11 1.22 1.91 0.69 1.51 1.91 0.40 0.29**(0.12)12 1.27 1.72 0.44 1.50 2.02 0.52 -0.08(0.13)13 1.28 1.74 0.46 1.47 2.20 0.73 -0.27**(0.14)14 1.22 1.61 0.40 1.37 2.10 0.73 -0.33***(0.12)15 1.26 1.57 0.30 1.42 1.76 0.34 -0.04(0.12)16 1.23 1.49 0.26 1.62 1.64 0.02 0.24*(0.13)17 1.27 1.46 0.20 1.60 1.73 0.12 0.07(0.12)18 1.26 1.56 0.30 1.68 1.62 -0.06 0.36***(0.13)19 1.25 1.53 0.29 1.58 1.58 -0.00 0.29**(0.12)20 1.23 1.58 0.35 1.57 1.62 0.05 0.30**(0.13)21 1.24 1.47 0.23 1.48 1.81 0.32 -0.09(0.12)22 1.20 1.51 0.31 1.47 1.69 0.22 0.09(0.12)23 1.22 1.58 0.37 1.58 1.51 -0.07 0.43***(0.12)24 1.25 1.49 0.23 1.56 1.58 0.02 0.21*(0.12)

Table 28 presents the mean of the adjusted daily average volatilities during the 2

years after the IPO. Daily volatility is the square root of the sum of the square of the

95

Figure 7: Mean of adjusted volatility after IPO (Composite index)

daily returns in a month divided by the number of trading days in the month. The

adjusted daily average volatility for a given month is the difference between the daily

volatility of a stock and the daily volatility of the composite index of the respective

market on which the stock is listed. Similar to the previous tables, the first three

columns deal with the A share market, the following three columns deal with the

HKEx market, and the last column shows the difference between these two markets.

Columns 1 and 2 show the adjusted daily volatilities of the IPO firms under the old

and the new regimes in the A share market. Column 3 shows the difference between

the volatilities of the IPO in the A share market under the new and the old regimes.

Column 4 and 5 show the adjusted daily volatilities of the IPO firms under the old

and new regimes in the HKEx market. Column 6 shows the difference between the

volatilities of the IPO in the HKEx market under the new and old regimes. Column

7 shows the difference between the volatility differences in Column 3 and 6, i.e., is

the difference in differences of the volatilities between the new and the old regime

96

between the A share market and the HKEx market.

Columns 1 and 2 in Table 28 show that the average adjusted volatility under the

old regime is stable from the third month after the IPO, while the average adjusted

volatility under the new regime declines continually for more than 1 year after the

IPO. Column 3 shows that the average daily volatility of the IPO firms in the A share

market under the new regime is significantly larger than that of the IPO firms under

the old regime for 2 years, although this difference decreases gradually. Columns 4

and 5 show that the daily volatilities of the IPO firms in the HKEx market under both

regimes are stable from the third month after the IPO, but the average volatilities of

the IPO firms under the new regime is higher. Column 7 and Figure 7 show that it

takes approximately 1 year for the difference in differences volatility to decrease to

zero after the IPO. The difference in differences volatility in the 8, 9 and 11 months

after the IPO is significantly different from zero at a 5% confidence level, meaning

the volatility of the IPO in the A share market under the new regime is larger than

that under the old regime for as long as 1 year compared to the volatility of the IPO

in the HKEx market during the same period.

It is possible that outliers affect the results shown in Table 28. To address this

possibility, I repeat the process leading to the results shown in Table 28 using the

median of the adjusted daily volatilities instead of the mean; these results are shown

in Table 29. Column 3 of Table 28 shows that the IPO firms in the A share market

under the new regime have higher daily volatility than that under the old regime for

97

Table 29: Median of adjusted volatility after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 1.86 3.68 1.82 1.94 2.47 0.53 1.292 1.25 2.75 1.50 1.41 2.08 0.67 0.833 1.20 2.53 1.33 1.28 1.91 0.63 0.704 1.15 2.23 1.08 1.28 2.05 0.76 0.325 1.17 2.41 1.24 1.21 1.67 0.46 0.786 1.10 2.24 1.15 1.35 2.03 0.68 0.477 1.10 2.04 0.94 1.33 1.45 0.12 0.828 1.10 2.06 0.96 1.14 1.69 0.55 0.419 1.04 2.05 1.00 1.36 1.81 0.46 0.5510 1.16 1.93 0.77 1.45 1.78 0.32 0.4511 1.13 1.99 0.87 1.44 1.63 0.19 0.6712 1.19 1.84 0.65 1.31 1.56 0.25 0.3913 1.22 1.72 0.50 1.32 1.55 0.23 0.2714 1.11 1.57 0.46 1.30 1.65 0.36 0.1015 1.13 1.44 0.31 1.28 1.41 0.13 0.1816 1.13 1.43 0.29 1.35 1.51 0.16 0.1317 1.14 1.36 0.22 1.30 1.36 0.06 0.1618 1.12 1.39 0.27 1.41 1.29 -0.12 0.3919 1.14 1.46 0.32 1.37 1.20 -0.17 0.4920 1.09 1.35 0.26 1.39 1.13 -0.25 0.5221 1.11 1.30 0.19 1.33 1.28 -0.05 0.2422 1.12 1.21 0.09 1.27 1.28 0.00 0.0923 1.09 1.45 0.36 1.38 1.27 -0.11 0.4824 1.12 1.43 0.32 1.34 1.19 -0.15 0.47

at least 2 years while Column 6 shows that the IPO firms in the HKEx market under

the new regime exhibit larger daily volatility than that under old regime for only one

year. The difference in differences of the median volatilities shown in Column 7 of

Table 29 and Figure 8 is positive for the entire 2 years after the IPO and is larger

than the results shown in Column 7 of Table 28 using the mean volatilities. This

98

Figure 8: Median of adjusted volatility after IPO (Composite index)

Figure 9: Mean of adjusted volatility after IPO (SmallCap index)

difference in volatility of the A share IPO under the new regime compared to the

old regime relative to the HKEx market IPO is more significant when the impact of

outliers is addressed.

It is possible that these results are driven by irregularities in the small capital

stocks during the period of the new regime because most of the IPO firms are small.

To address this situation, I repeat the test leading to the results in Table 28 using

the SmallCap index instead of the composite index for the respective market. The

results shown in Column 7 of Table 11 and Figure 9 indicate that the difference in

99

Table 30: Mean of adjusted volatility after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 1.70 3.33 1.62 2.31 3.61 1.30 0.33*(0.19)2 1.10 2.32 1.22 1.59 2.65 1.06 0.16(0.14)3 1.05 2.12 1.08 1.53 2.18 0.64 0.43***(0.12)4 1.02 1.83 0.80 1.48 2.24 0.77 0.04(0.12)5 1.01 1.92 0.91 1.51 2.05 0.54 0.37***(0.13)6 0.96 1.82 0.86 1.67 2.19 0.53 0.33**(0.13)7 0.94 1.60 0.66 1.55 1.68 0.13 0.53***(0.12)8 0.95 1.56 0.61 1.50 1.63 0.13 0.48***(0.12)9 0.94 1.60 0.66 1.60 1.75 0.15 0.51***(0.12)10 1.03 1.50 0.47 1.79 1.78 -0.01 0.48***(0.12)11 0.99 1.49 0.50 1.61 1.67 0.06 0.44***(0.12)12 1.06 1.36 0.30 1.60 1.66 0.06 0.23*(0.12)13 1.06 1.39 0.33 1.60 1.72 0.12 0.22*(0.13)14 1.01 1.26 0.25 1.53 1.85 0.32 -0.07(0.12)15 1.03 1.23 0.19 1.56 1.66 0.10 0.10(0.12)16 1.02 1.22 0.20 1.77 1.59 -0.18 0.38***(0.13)17 1.05 1.21 0.16 1.75 1.73 -0.02 0.18(0.12)18 1.03 1.24 0.20 1.80 1.52 -0.28 0.48***(0.13)19 1.01 1.16 0.15 1.69 1.61 -0.09 0.24**(0.12)20 0.99 1.22 0.22 1.67 1.69 0.02 0.20(0.13)21 1.01 1.22 0.21 1.60 1.81 0.21 -0.01(0.12)22 0.98 1.24 0.26 1.58 1.73 0.15 0.11(0.12)23 0.99 1.27 0.28 1.64 1.55 -0.08 0.36***(0.12)24 1.02 1.14 0.12 1.61 1.64 0.03 0.09(0.12)

differences of the daily volatilities is larger when the SmallCap indices are used than

when the composite indices are used. It is significantly different from zero in most

of the month for the first 18 months, meaning the results are not caused by these

irregularities of small capital firms relative to the market average.

It is possible that some outliers affect the results shown in Table 30. To address

100

Table 31: Median of adjusted volatility after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7Regime Old New DIF Old New DIF DIF-IN-DIF1 1.64 3.43 1.79 2.05 2.46 0.41 1.382 1.05 2.38 1.33 1.54 1.80 0.26 1.073 0.99 2.13 1.14 1.39 1.72 0.33 0.814 0.93 1.84 0.90 1.31 1.81 0.50 0.405 0.96 1.99 1.03 1.41 1.57 0.16 0.886 0.87 1.86 0.99 1.42 1.68 0.26 0.727 0.87 1.58 0.71 1.43 1.22 -0.21 0.928 0.86 1.54 0.68 1.28 1.32 0.04 0.649 0.85 1.58 0.73 1.43 1.63 0.20 0.5310 0.93 1.47 0.54 1.53 1.61 0.07 0.4711 0.91 1.49 0.58 1.48 1.39 -0.09 0.6612 0.98 1.43 0.46 1.38 1.50 0.12 0.3313 1.00 1.30 0.30 1.41 1.33 -0.08 0.3814 0.92 1.19 0.27 1.39 1.53 0.14 0.1315 0.91 1.10 0.19 1.42 1.48 0.06 0.1316 0.92 1.11 0.19 1.56 1.49 -0.06 0.2517 0.91 1.16 0.25 1.55 1.42 -0.14 0.3918 0.91 1.11 0.19 1.51 1.24 -0.27 0.4619 0.91 1.05 0.15 1.47 1.20 -0.27 0.4220 0.90 1.00 0.10 1.42 1.30 -0.12 0.2221 0.91 1.07 0.16 1.48 1.30 -0.18 0.3422 0.90 1.05 0.15 1.41 1.34 -0.07 0.2323 0.88 1.14 0.27 1.43 1.28 -0.15 0.4224 0.91 1.07 0.15 1.40 1.14 -0.26 0.41

this, I repeat the process leading to the results shown in Table 30 using the median of

the adjusted daily volatilities instead of the mean; these results are shown in Table 31.

The difference in differences of the median volatilities shown in Column 7 of Table 31

and Figure 10 is larger than the results shown in Column 7 of Table 30 and is similar

to the results shown in Column 7 of Table 29 based on the composite indices. This

101

Figure 10: Median of adjusted volatility after IPO (SmallCap index)

comparison shows that the larger volatility of the A share IPO under the new regime

to the old regime relative to the HKEx market IPO is not driven by the extreme

values or the irregularities of small capital stocks.

These tests show that the IPO firms in the A share market under the new regime

have much higher daily volatilities than those under the old regime for at least 2 years,

even controlling for the pattern of volatility of the IPO on the HKEx market. If I do

not consider the volatility of the IPO firms in the HKEx market, then the results in

Column 3 of these previous four tables show that the adjusted daily volatility of the

IPO under the new regime is higher than that under the old regime for 2 years after

the IPO. In addition, the results presented in Columns 1 and 2 of these four tables

indicate that the daily volatilities of the IPO firms in the A share market under the

new regime decrease to a stable level 1 year later than those under the old regime

after the IPO.

102

Table 32: Two-year cumulative adjusted stock return after the IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 -44.36 -52.66 46 -23.75 -44.90 -20.61*(12.52) -7.762007 123 -4.82 -9.68 71 -14.88 -22.30 10.05(8.44) 12.612008 76 37.92 18.60 24 25.00 -3.29 12.92(12.98) 21.882009 98 5.82 -6.30 52 8.81 -10.54 -2.99(9.68) 4.242010 346 -12.01 -18.97 82 -21.86 -37.50 9.85(6.76) 18.532011 280 6.74 -6.34 60 -5.20 -22.50 11.94(7.81) 16.162012 154 44.98 30.24 45 23.95 -0.53 21.03**(10.08) 30.772014 124 32.41 15.16 91 13.98 -7.39 18.43**(8.03) 22.552015 192 28.27 16.33 50 -2.50 -23.41 30.77***(8.76) 39.73

Figure 11: Two year cumulative adjusted stock return after IPO (Composite index)

2.4.2 Long-term performance by IPO year

Table 32 presents the means and medians of the 2-year adjusted stock returns for

both markets for the IPOs in each year. I use the composite index to adjust the raw

returns. The IPOs from 2006 to 2012 are under the old regime, and the IPOs from

2014 to 2015 are under the new regime. Column 7 shows the differences of the mean

and median of the returns between the IPO firms on the A share market and the

103

Figure 12: Two year cumulative adjusted stock return after IPO (SmallCap index)

HKEx market. The results in Columns 2, 3, 5, 6 show that the long-run returns of

the IPO firms on the A share market and the HKEx market exhibit similar trends of

fluctuation under the old regime.

Columns 3 and 6 of Table 32 show that 5 of 7 of the medians of the adjusted

returns under the old regime are negative while both medians of the adjusted returns

under the new regime are positive on the A share market. And the medians of the

adjusted returns on the HKEx market are negative for all years. Column 7 and 8

and Figure 11 indicate that the difference between the means and medians on the

A share market and the HKEx market under the new regime (2014 and 2015) are

relatively larger than those under the old regime and the means of the differences of

returns between these two market are significantly different from zero at a 5% and 1%

confidence level. As this analysis suggests, the long-term performance of IPO firms

on the A share market improves significantly under the new regime while that on the

HKEx market remains unchanged.

I repeat this test using the SmallCap index instead of the Composite index to

104

Table 33: Two year cumulative adjusted stock return after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 -49.15 -59.22 46 6.68 -15.69 -55.84***(3.50) -43.532007 123 -23.03 -29.18 71 -2.66 -11.43 -20.38***(2.36) -17.752008 76 -0.13 -13.19 24 14.89 -9.50 -15.02***(3.62) -3.692009 98 -19.59 -31.89 52 1.27 -16.71 -20.86***(2.71) -15.182010 346 -10.60 -16.88 82 -5.67 -20.45 -4.93***(1.89) 3.572011 280 7.02 -5.76 60 3.02 -13.65 4.00*(2.18) 7.892012 154 16.00 2.27 45 18.25 -6.93 -2.25(2.81) 9.202014 124 20.00 3.21 91 22.93 2.57 -2.92(2.25) 0.642015 192 29.93 16.24 50 12.01 -5.19 17.92***(2.44) 21.43

Figure 13: Two year average adjusted daily turnover after IPO (Composite index)

adjust the raw returns. The results shown in Table 33 and Figure 12 are similar

to those in Table 32. The mean of the difference of return in 2015 is significantly

different from zero at a 1% confidence level. The long-term performance of the IPO

on the A share market improves under the new regime regardless of whether I control

for the change in the adjusted returns in the HKEx market.

Table 34 presents the mean and median of 2-year adjusted daily average turnovers

105

Table 34: Two year average adjusted daily turnover after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 1.38 1.38 46 0.19 0.00 1.19***(0.19) 1.382007 123 2.55 2.30 71 -0.07 -0.19 2.63***(0.24) 2.492008 76 4.99 5.14 24 0.04 -0.08 4.96***(0.42) 5.222009 98 3.89 3.71 52 0.13 0.07 3.76***(0.20) 3.642010 346 3.34 3.12 82 0.07 -0.01 3.26***(0.15) 3.132011 280 4.37 4.01 60 -0.04 -0.12 4.41***(0.31) 4.132012 154 5.95 5.87 45 -0.05 -0.14 6.00***(0.37) 6.002014 124 6.40 6.13 91 0.05 -0.01 6.35***(0.25) 6.142015 192 6.41 6.38 50 0.09 0.05 6.32***(0.31) 6.33

for both markets for the IPOs each year. I use turnovers of the composite index to

adjust the turnovers. Column 7 shows the differences between the mean and median of

the adjusted daily turnover between IPO firms on the A share market and the HKEx

market. Columns 3 and 6 show that the medians of adjusted daily turnovers under

the old regime are smaller than those under the new regime for the A share market,

and these medians for the HKEx market are stable for all nine years. Columns 7 and

8 and Figure 13 indicate that the difference between the means and medians of the

turnovers for both the A share market and the HKEx market under the new regime

(2014 and 2015) are relatively larger than those under the old regime, and the means

of the difference of turnovers are significantly different from zero at a 1% confidence

level. Based on this comparison, the long-term liquidity of the IPO firms on the A

share market improves significantly under the new regime while this variable on the

106

Figure 14: Two year adjusted daily volatility after IPO (Composite index)

HKEx market is unchanged under the new regime.

Table 35: Two year adjusted daily volatility after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 1.09 1.08 46 1.41 1.48 -0.32***(0.09) -0.392007 123 1.23 1.30 71 1.57 1.47 -0.34***(0.08) -0.182008 76 1.28 1.34 24 1.82 1.70 -0.54***(0.08) -0.362009 98 1.24 1.22 52 1.42 1.56 -0.19**(0.08) -0.342010 346 1.17 1.16 82 1.63 1.59 -0.46***(0.05) -0.422011 280 1.28 1.27 60 1.57 1.45 -0.29***(0.07) -0.182012 154 1.57 1.61 45 1.47 1.50 0.11(0.08) 0.102014 124 1.92 1.93 91 2.13 2.05 -0.21*(0.12) -0.122015 192 1.88 1.91 50 2.18 1.92 -0.30***(0.10) -0.01

Table 35 presents the mean and the median of the 2-year adjusted daily average

volatilities for both markets for IPOs for each year. I use the volatilities of the

composite index to adjust these volatilities. Column 7 shows the differences between

the mean and median of the adjusted daily volatilities for the IPO firms on the A

share market and the HKEx market. Columns 3 and 6 show that the medians of the

107

adjusted daily volatilities under the old regime are smaller than those under the new

regime for the A share market; however, the medians of the adjusted daily volatilities

for the HKEx markets are similar to those on the A share market under both the old

and new regimes. Columns 7 and 8 and Figure 14 indicate that the difference between

the means and medians of the volatilities for both markets under the new regime (2014

and 2015) are slightly larger than those under the old regime but the means of the

difference of volatilities are still less than zero. This comparison indicates that the

long-term volatility of the IPO firms on the A share market increases significantly

under the new regime but this increase is not significant if the IPOs on the HKEx

market are used as a control group.

Table 36: Two year adjusted daily volatility after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 0.91 0.92 46 1.86 1.93 -0.95***(0.09) -1.012007 123 0.99 1.07 71 2.14 2.02 -1.14***(0.08) -0.952008 76 1.04 1.09 24 2.21 2.13 -1.18***(0.11) -1.042009 98 1.01 1.00 52 1.36 1.46 -0.35***(0.08) -0.462010 346 0.94 0.93 82 1.51 1.47 -0.57***(0.05) -0.552011 280 1.06 1.05 60 1.47 1.38 -0.40***(0.07) -0.332012 154 1.37 1.42 45 1.41 1.44 -0.04(0.08) -0.032014 124 1.61 1.65 91 1.90 1.81 -0.29***(0.05) -0.162015 192 1.51 1.54 50 2.03 1.76 -0.52***(0.10) -0.22

I repeat the test using the SmallCap index instead of the composite index to

adjust the volatilities. As the results in Table 36 and Figure 15 shows, the long-term

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Figure 15: Two year adjusted daily volatility after IPO (SmallCap index)

volatility of the IPO on the A share market increases significantly under the new

regime whether I control for the change of volatility of the IPO firms on the HKEx

market. However, the means of difference of the long-term volatilities are still less

than zero. As IPO firms are primarily small capital stocks, the insignificant results

shown in Table 35 may be caused by difference in the volatility between small and

larger capital stocks.

Table 37: Two year β coefficient after IPO (Composite index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 0.90 0.90 46 0.94 0.92 -0.04(0.06) -0.012007 123 0.97 0.97 71 0.88 0.86 0.09**(0.04) 0.112008 76 0.97 1.01 24 0.81 0.80 0.16***(0.06) 0.212009 98 1.00 1.01 52 1.04 1.08 -0.05(0.05) -0.072010 346 1.09 1.08 82 1.04 1.05 0.05(0.03) 0.032011 280 1.15 1.13 60 0.73 0.70 0.41***(0.04) 0.432012 154 1.15 1.14 45 0.39 0.35 0.76***(0.05) 0.792014 124 1.15 1.17 91 0.84 0.75 0.31***(0.06) 0.422015 192 1.28 1.29 50 0.83 0.83 0.45***(0.06) 0.46

109

Figure 16: Two year β coefficient after IPO (Composite index)

Table 37 presents the mean and median of the 2-year β coefficient for both markets

for each year listed calculated using weekly return of the composite index. Column 7

shows the differences between mean and median of the β coefficients for IPO firms on

the A share market and the HKEx market. Columns 3 and 6 show that the medians

of the β coefficient under the old regime are smaller than those under the new regime

for the A share market. In addition, the medians of the β coefficient exhibit an

ascending trend. However, there is no such trend in the medians of β coefficient for

the HKEx markets; the β coefficient decreases under the new regime in the HKEx

market. Columns 7 and 8 and Figure 16 indicate that the differences between the

means and medians of the β coefficient for the A share market and the HKEx market

under the new regime (2014 and 2015) are larger than most years under the old regime

and the means of the differneces of the β coefficients are significantly different from

zero at a 1% confidence level. Hence, the β coefficients of the IPO firms on the A

share market increase significantly under the new regime while, in contrast, those on

the HKEx market decrease under the new regime.

110

Table 38: Two year β coefficient after IPO (SmallCap index)

Month A HKEx A-HKExcolumn 1 2 3 4 5 6 7 8

No. Mean Median No Mean Median Mean Median2006 65 0.78 0.78 46 1.00 0.94 -0.21***(0.05) -0.162007 123 0.86 0.87 71 0.87 0.86 -0.01(0.04) 0.012008 76 0.90 0.93 24 0.75 0.81 0.15***(0.06) 0.122009 98 0.90 0.92 52 0.94 1.00 -0.04(0.04) -0.092010 346 0.98 0.98 82 1.00 0.98 0.02(0.03) -0.012011 280 1.04 1.02 60 0.73 0.76 0.31***(0.04) 0.272012 154 1.12 1.14 45 0.44 0.41 0.68***0.04) 0.732014 124 0.97 0.94 91 0.80 0.67 0.18***(0.05) 0.262015 192 1.05 1.04 50 0.76 0.77 0.29***(0.05) 0.27

Figure 17: Two year β coefficient after IPO (SmallCap index)

I repeat the test using the SmallCap index instead of the composite index to

calculate the β coefficients. The results shown in Table 38 and Figure 17 indicate the

β coefficients of the IPO on the A share market under the new regime are higher than

the average level under the old regime while the β coefficients of the IPO firms on the

HKEx market under the new regime are lower than the average level under the old

regime. The means of the differences of the β coefficients are significantly different

111

from zero in 2014 and 2015 at a 1% confidence level. This analysis suggests that the

β coefficients of the IPO firms on the A share market are higher under new regime

regardless of which index is used, a situation not seen on the HKEx market.

2.4.3 Regression Analysis

To investigate the impact of the price-limit policy on long-term stock performance, I

run the following benchmark difference-in-differences model.

Ri = a0+a1RMi+a2 ln (PEi)+a3 ln (MVi)+a4Ai+a5LUi+a6Ai∗LUi+INDi+ui (26)

where Ri is the raw return of an IPO firm based on the closing price of IPO

day to 2 years after IPO day, and RMi is the return of the market index during the

same period. ln (PEi) is the natural logarithm of the price earnings ratio based on

the closing price of the IPO day, calculated using the earnings in the last 4 quarters

before IPO day. ln (MVi) is the natural logarithm of the market value based on the

closing price of the IPO day. I adjust all market values to the 2017 Chinese Yuan. Ai

is a dummy variable with 1 representing the A share listed IPO firms and 0 the HKEx

market listed firms. LUi is a dummy variable with 1 representing the IPOs under the

new regime and 0 the IPOs under the old regime. INDi are industry dummies, and

ui is an error term. I use ordinary least squares model with robust standard errors.

I do not use the market to book equity ratio because if I use the book equity after

the IPO, then those proceeds form a large proportion of total assets, meaning the

market to book ratio will be very low. If I use the book equity before the IPO, the

112

market to book ratio will be very high because many IPO firms pay a very high one-

time dividends and firms rely heavily on debt finance, meaning their debt to assets

ratios are high before the IPO, these high financial leverages leading to a high market

to book ratio. Therefore, the market to book ratio in this study would not represent

what is typically meant in financial economics literature.

Table 39: Price limit and stock return

Ri is the raw return of an IPO firm from the closing price of IPO day to 2 years after IPO day.RMi is the return of market index during the same period. ln (PEi) is the natural logarithm ofprice earnings ratio at the closing price of IPO day. ln (MVi) is the natural logarithm of marketvalue of the closing price of IPO day. Ai is a dummy variable with 1 for A share listed IPO firmsand 0 for HKEx market listed firms. LUi is a dummy variable with 1 for IPOs under new regimeand 0 for IPOs under old regime. INDi are industry dummies. ***: Correlation is significant atthe 0.01 level (2-tailed); **: Correlation is significant at the 0.05 level (2-tailed); *: Correlation issignificant at the 0.10 level (2-tailed); Robust Standard Error is in parentheses.

column 1 2 3 4 5 6Index composite composite smallcap smallcap composite smallcapconstant 1.93*** 1.22*** 1.82*** 1.34*** 4.28*** 3.91***

(0.335) (0.326) (0.326) (0.323) (0.417) (0.398)RMi 0.859*** 0.791*** 0.750*** 0.630*** 0.670*** 0.641***

(0.0772) (0.0878) (0.0511) (0.0673) (0.0855) (0.0576)ln (PEi) -0.188*** -0.148*** -0.171*** -0.142*** -0.298*** -0.256***

(0.0263) (0.0277) (0.0258) (0.0279) (0.0396) (0.0380)ln (MVi) -0.0657*** -0.0545*** -0.0608*** -0.0531*** -0.143*** -0.137***

(0.0149) (0.0146) (0.0147) (0.0146) (0.0182) (0.0175)Ai 0.218*** 0.182*** 0.0628 0.0443

(0.0433) (0.0432) (0.0450) (0.0467)Ai ∗ LUi 0.268*** 0.292*** 0.306*** 0.348***

(0.0900) (0.0962) (0.0884) (0.0944)LUi 0.0619 0.0871 0.400*** 0.437***

(0.0795) (0.0782) (0.0441) (0.0417)Year dummy No Yes No Yes No NoIndustry dummy Yes Yes Yes Yes Yes YesNo. of obs. 1948 1948 1948 1948 1458 1458

Table 39 shows the results of the regressions based on Equation 26. Column 1

(3) presents the result of the benchmark regression for which I use the composite

113

(small capital) index as the market index. Column 2 (4) repeats the regression seen

in Column 1 (3), but I include the year dummy while deleting LUi. The coefficients

of the interaction term Ai ∗ LUi are all positive and significant at a 1% confidence

level for these four specifications. The coefficients of the interaction terms imply that

the 2-year returns of an IPO in the A share market increases by approximately 30%

under the new regime, meaning the price limit has an impact on long-term stock

performance. This percentage is economically significant.

Most of the coefficients of the control variables are also significant. The coefficients

ofRMi are positive and significant at a 1% confidence level for all specifications. These

coefficients are around 0.8, similar to the cross sectional β coefficients. The coefficients

of ln (PEi) are negative and significant at a 1% confidence level. An IPO firm with a

high price earnings ratio will have a poor long-term performance. One possible reason

is that investors are overly optimistic about high PE ratio stocks, and the market

corrects their expectations when the earnings are below their expectation formed on

the IPO day. Coefficients of ln (MVi) are negative and significant at a 1% confidence

level, meaning that small capital stocks have a better long-term performance.

To rule out the impact of the HKEx market’s fluctuation on the results, I run

regressions using only the A share IPOs as a sample. Column 5 (6) of Table 39 presents

the results of the specification, including only the A share IPOs in the sample using

composite (small capital) index as the market index. Though these two specifications

cannot exclude the impact of time trend on long-term stock returns as the difference-

114

in-differences models shown above do, Column 5 and 6 provide the direct change of

long-term stock returns after the consecutive price limit hits at the beginning of the

IPO when the other factors are controlled. The coefficients of LUi indicate that the

2-year stock returns after the IPO increase by approximately 42% in the A share

market under the new policy regime resulting in consecutive price limit hits. These

results are similar to the results given by the difference-in-differences models.

I run the following benchmark regression to investigate the impact of the price

limit policy on the β coefficient.

βi = a0+a1RMi+a2 ln (PEi)+a3 ln (MVi)+a4Ai+a5LUi+a6Ai∗LUi+INDi+ui (27)

where βi is the β coefficient which I calculate using the weekly return from the

IPO day to 2 years after the IPO day. I run an OLS regression with robust standard

errors.

Table 40 shows the results of regressions of Equation 27. Column 1 (3) presents

the results of the benchmark regression in which I use composite (small capital) index

as the market index. Column 2 (4) repeats the regression shown in Column 1 (3),

but I include the year dummy while deleting LUi. The coefficients of the interaction

term Ai ∗ LUi are all positive and significant at a 1% confidence level for these four

specifications. The coefficients of the interaction terms imply that the β coefficient

within 2 years of the IPO in the A share market increases by approximately 0.18

under the new regime during which the price limit has an impact on the long-term

115

Table 40: Price limit and β coefficient

βi is the β coefficient which I calculate using weekly return from IPO day to 2 years after IPO day.RMi is the return of market index during the same period. ln (PEi) is the natural logarithm ofprice earnings ratio at the closing price of IPO day. ln (MVi) is the natural logarithm of marketvalue of the closing price of IPO day. Ai is a dummy variable with 1 for A share listed IPO firmsand 0 for HKEx market listed firms. LUi is a dummy variable with 1 for IPOs under new regimeand 0 for IPOs under old regime. INDi are industry dummies. ***: Correlation is significant atthe 0.01 level (2-tailed); **: Correlation is significant at the 0.05 level (2-tailed); *: Correlation issignificant at the 0.10 level (2-tailed); Robust Standard Error is in parentheses.

column 1 2 3 4 5 6Index composite composite smallcap smallcap composite smallcapconstant 0.483*** 0.358* 1.02*** 0.820*** 2.05*** 2.55***

(0.188) (0.189) (0.178) (0.177) (0.176) (0.155)RMi -0.175*** -0.167*** -0.0949*** -0.110*** -0.194*** -0.0844***

(0.0316) (0.0453) (0.0223) (0.0334) (0.0288) (0.0194)ln (PEi) 0.0429*** 0.0582*** 0.0409*** 0.0623*** 0.000304 0.0107

(0.0163) (0.0179) (0.0152) (0.0170) (0.0149) (0.0128)ln (MVi) 0.0126 0.0156* -0.0129 -0.00800 -0.0429*** -0.0715***

(0.00856) (0.00847) (0.00804) (0.00802) (0.00787) (0.00687)Ai 0.152*** 0.126*** 0.0846*** 0.0565*

(0.0266) (0.0281) (0.0260) (0.0291)Ai ∗ LUi 0.212*** 0.210*** 0.132*** 0.148***

(0.0539) (0.0533) (0.0499) (0.0488)LUi -0.0156 -0.0748 0.215*** 0.0708***

(0.0495) (0.0465) (0.0200) (0.0164)Year dummy No Yes No Yes No NoIndustry dummy Yes Yes Yes Yes Yes YesNo. of obs. 1948 1948 1948 1948 1458 1458

stock performance. This value is economically significant.

Most of the coefficients of the control variables are significant. The coefficients

of RMi are negative and significant at a 1% confidence level for all specifications

at approximately -0.13. The β coefficients of the IPO firms are smaller in the bull

market. The coefficients of ln (PEi) are positive and significant at a 1% confidence

level. An IPO firm with a high price earnings ratio will have a higher β coefficient

because IPO stocks with high PE ratios come with high expectations and are more

116

sensitive to market sentiment and market fluctuation. The coefficients of ln (MV i) are

positive and marginally significant when the composite indices are used to calculate

the β coefficient and negative and insignificant if the small capital indices are used.

This result suggests that there is no apparent relation between the β coefficient and

firm size for IPO firms.

To rule out the impact of the HKEx market’s fluctuation on the results, I run

regressions using only the A share IPOs as a sample. Column 5 (6) of Table 20

presents the result of the specification calculated using the composite (small capital)

index as market index. Though these two specifications cannot eliminate the impact

of time trend on long term β coefficients as the difference-in-differences models shown

above do, Columns 5 and 6 provide the direct change of long-term β coefficient after

consecutive price limit hits at the beginning of the IPO when controlling for other

factors. The coefficients of LUi indicate that the 2-year β coefficients after the IPO

increase by more than 0.14 in the A share market under the new policy regime,

resulting in consecutive price limit hits. These results are similar to those given by

the difference-in-differences models.

I run the following benchmark regression to investigate the impact of the price

limit policy on long-term volatility.

V Li = a0+a1V LMi+a2 ln (PEi)+a3 ln (MVi)+a4Ai+a5LUi+a6Ai∗LUi+INDi+ui

(28)

117

where V Li is the daily average raw volatility of the IPO firm i from the IPO day

until 2 years after, and V LMi is the daily average raw volatility of the market index

from the IPO day of firm i until 2 years after. I run an OLS regression with robust

standard error.

Table 41: Price limit and daily volatility

V Li is the daily average raw volatility of IPO firm i from IPO day to 2 years after IPO day. V LMi

is the daily average raw volatility of the market index from IPO day of firm i to 2 years afterIPO day. ln (PEi) is the natural logarithm of price earnings ratio at the closing price of IPO day.ln (MVi) is the natural logarithm of market value of the closing price of IPO day. Ai is a dummyvariable with 1 for A share listed IPO firms and 0 for HKEx market listed firms. LUi is a dummyvariable with 1 for IPOs under new regime and 0 for IPOs under old regime. INDi are industrydummies. ***: Correlation is significant at the 0.01 level (2-tailed); **: Correlation is significant atthe 0.05 level (2-tailed); *: Correlation is significant at the 0.10 level (2-tailed); Robust StandardError is in parentheses.

column 1 2 3 4 5 6Index composite composite smallcap smallcap composite smallcapconstant 0.0528*** 0.0440*** 0.0512*** 0.0611*** 0.0444*** 0.0442***

(0.00270) (0.00360) (0.00293) (0.00329) (0.00293) (0.00295)V LMi 0.967*** 1.18*** 1.01*** 0.396*** 0.902*** 0.900***

(0.0261) (0.116) (0.0278) (0.0799) (0.0245) (0.0245)ln (PEi) 0.00196*** 0.00240*** 0.00197*** 0.00240*** 0.00116*** 0.00100***

(0.000266) (0.000301) (0.000278) (0.000307) (0.000218) (0.000219)ln (MVi) -0.00188*** -0.00179*** -0.00179*** -0.00176*** -0.00154*** -0.00158***

(0.000128) (0.000128) (0.000138) (0.000131) (0.000134) (0.000134)Ai -0.00498*** -0.00583*** -0.00846*** -0.00547***

(0.000396) (0.000500) (0.000448) (0.000620)Ai ∗ LUi 0.00197** 0.00104 0.00359*** 0.00510***

(0.000933) (0.00103) (0.000944) (0.000954)LUi 0.00455*** 0.00160* 0.00676*** 0.00569***

(0.000891) (0.000903) (0.000233) (0.000242)Year dummy No Yes No Yes No NoIndustry dummy Yes Yes Yes Yes Yes YesNo. of obs. 1948 1948 1948 1948 1458 1458

Table 41 shows the results of the regressions based on Equation 28. Column 1 (3)

presents the result of the benchmark regression using the composite (small capital)

index as the market index. Column 2 (4) repeats the regression shown in Column

118

1 (3) but I include the year dummy while deleting LUi. The coefficients of the

interaction term Ai ∗ LUi are positive and significant at a 5% or higher confidence

level for 3 of the 4 specifications. The coefficients in the regressions using the small

capital index as the market index are more significant than those using the composite

index. Because the IPO firms are mainly small capital firms, the results using small

capital index are more credible. The coefficients of the interaction terms imply that

the daily average volatilities within 2 years of the IPO in the A share market increase

by approximately 0.29% under the new regime after the price limit has an impact on

the long-term stock performance. This increase is economically significant given that

the adjusted average daily volatility is approximately 1% for most of the IPO firms

in the A share market under the old regime.

Most of the coefficients of the control variables are significant. The coefficients of

V LMi are positive and significant at a 1% confidence level for all specifications. The

daily volatilities of the IPO firms are highly affected by the market volatility level.

The coefficients of ln (PEi) are positive and significant at a 1% confidence level. An

IPO firm with a high price earnings ratio will exhibit a higher volatility because IPO

stocks with a high PE ratio come with high expectations and differences in opinions

so that they are more volatile. Coefficients of ln (MVi) are negative and significant at

a 1% confidence level. Because stocks of small capital companies are more volatile,

volatility is highly correlated with firm size, meaning using the small capital index as

the market index to adjust volatility is more appropriate than using the composite

119

index given that most of the IPO firms are small capital firms.

To rule out the impact of the HKEx market’s fluctuation on the results, I run

regressions using only the A share IPOs as a sample. Column 5 (6) of Table 20

presents the result of the specification using the composite (small capital) index as

the market index. Though these two specifications cannot eliminate the impact of

time trend on the long-term average daily volatility as the difference-in-differences

models shown above do, Columns 5 and 6 provide the direct change of the long-term

average daily volatility after consecutive price limit hits at the beginning of the IPO

when other factors are controlled. The coefficients of LUi indicate that the 2-year

average daily volatilities after the IPO increase by more than 0.62% in the A share

market under the new policy regime, resulting in consecutive price limit hits. These

results are consistent with those given by the difference-in-differences models.

I run the following benchmark regression to investigate the impact of the price

limit policy on the long-term liquidity.

TOi = a0+a1TOMi+a2 ln (PEi)+a3 ln (MVi)+a4Ai+a5LUi+a6Ai∗LUi+INDi+ui

(29)

where TOi is the daily average raw turnover of the IPO firm i from the IPO day to

2 years after, and TOMi is the daily average raw turnover of the market index from

the IPO day of firm i to 2 years after. I run an OLS regression with robust standard

errors.

120

Table 42: Price limit and daily turnover

TOi is the daily average raw turnover of IPO firm i from IPO day to 2 years after IPO day. TOMi

is the daily average raw turnover of the market index from IPO day of firm i to 2 years afterIPO day. ln (PEi) is the natural logarithm of price earnings ratio at the closing price of IPO day.ln (MVi) is the natural logarithm of market value of the closing price of IPO day. Ai is a dummyvariable with 1 for A share listed IPO firms and 0 for HKEx market listed firms. LUi is a dummyvariable with 1 for IPOs under new regime and 0 for IPOs under old regime. INDi are industrydummies. ***: Correlation is significant at the 0.01 level (2-tailed); **: Correlation is significant atthe 0.05 level (2-tailed); *: Correlation is significant at the 0.10 level (2-tailed); Robust StandardError is in parentheses.

column 1 2 3Index composite composite compositeconstant 0.128*** 0.111*** 0.289***

(0.00827) (0.00836) (0.0141)TOMi 0.0507 -0.327*** 0.0677

(0.0713) (0.102) (0.0768)ln (PEi) 0.000820 0.00289*** -0.000139

(0.000550) (0.000601) (0.00103)ln (MVi) -0.00555*** -0.00506*** -0.0106***

(0.000385) (0.000377) (0.000632)Ai 0.0447*** 0.0470***

(0.00111) (0.00142)Ai ∗ LUi 0.0331*** 0.0320***

(0.00151) (0.00183)LUi -0.00397*** 0.0302***

(0.000871) (0.00123)Year dummy No Yes NoIndustry dummy Yes Yes YesNo. of obs. 1948 1948 1458

Table 42 shows the results of the regressions based on Equation 29. Column 1

presents the result of the benchmark regression when I use the composite index as

the market index. Column 2 repeats the regression shown in Column 1, but I include

the year dummy while deleting LUi. The coefficients of the interaction term Ai ∗LUi

are positive and significant at a 1% confidence level for both specifications. The

coefficients of the interaction terms in Columns 1 and 2 imply that the daily average

turnovers within 2 years of the IPO in the A share market increase by approximately

121

3.3% under the new regime, meaning price limit has an impact on long-term stock

performance. This increase is economically significant given that the adjusted average

daily turnover is approximately 3.5% for most of the IPO firms in the A share market

under the old regime.

Most of the coefficients of the control variables are significant. The coefficients of

TOMi are positive in Column 1 but negative in Column 2. IPO firms’ turnovers are

not as sensitive to the market as the volatilities and stock returns. The coefficients

of ln (PEi) are positive and significant at a 1% confidence level. An IPO firm with

a high price earnings ratio will have a high turnover because IPO stocks with a high

PE ratio come with high expectations and differences in opinions, meaning they are

held by investors for a shorter period. The coefficients of ln (MVi) are negative and

significant at a 1% confidence level, again showning stocks of small capital companies

are held by investors for a shorter period.

To rule out the impact of the HKEx market’s fluctuation on the results, I run re-

gressions using only the A share IPOs as a sample. Column 3 of Table 20 presents the

result of the specification when using composite index as the market index. Though

this specification cannot eliminate the impact of time trend on the long-term aver-

age daily turnover as the difference-in-differences models shown above do, Column 3

provides the direct change of the long-term average daily turnovers after consecutive

price limit hits at the beginning of the IPO when other factors are controlled. The

coefficients of LUi indicate that the 2-year average daily turnovers after the IPO in-

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crease by more than 3.0% in the A share market under the new policy regime resulting

in consecutive price limit hits. These results are consistent with those given by the

difference in differences models.

2.5 Summary and Conclusions

In this paper, I explored the impact of the price limit policy on long-term stock

performance. Using IPOs on the Chinese A share market and the HKEx market from

2006 to 2015, I employed a difference-in-differences method to investigate whether a

new IPO policy for the A share market causing consecutive limit-ups at the beginning

period of the IPO has long-term effects on stock returns, turnovers, volatility and β

coefficients. I obtained the following results.

First, the 2-year stock returns after the IPO increase by approximately 30% in the

A share market under the new policy regime causing the consecutive limit-up hits.

The median of the adjusted 2-year stock returns under the old regime was -9.59% (-

14.98%) if the composite (small capital) index is used to adjust for raw returns. This

increase in stock returns caused by the price limit rule is significant economically.

Moreover, the 2-year β coefficients after the IPO increase by approximately 0.18

in the A share market under the new policy regime. This increase is almost the

standard deviation of the β coefficients of the IPO firms under the old regime.

In addition, the 2-year daily average volatilities after the IPO increase by approx-

imately 0.29% in the A share market under the new policy regime. The median of the

raw daily average volatilities under the old regime was 2.79%, meaning the increase in

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volatilities caused by the price limit rule is approximately 10% of the original volatili-

ties. However, the results are more significant when considering only the results using

the small capital index as the market index.

Finally, the 2-year daily average turnovers after the IPO increase by approximately

3.2% in the A share market under the new policy regime. The median of the raw daily

average turnovers under the old regime was 4.56%, meaning the increase in turnovers

caused by the price limit rule is approximately 70% of the original turnovers. This

increase in turnovers caused by price limit rule is also significant economically.

The empirical results are consistent with the hypothesis that the price limit policy

results in the IPO firms in the A share market having larger stock returns, turnovers,

volatility and β coefficients over a 2-year period after the IPO. A possible explanation

for these results is that the consecutive limit up hits at the beginning of an IPO attract

investors with a high risk preference. This impact on the investor structure of an IPO

firm has long-term effects on its stock performance including stock return, turnover,

volatility and β coefficient.

As with all research, this study has limitations. Although the empirical results

support the hypotheses in this paper, I cannot rule out other factors. For example,

if the change in such variables as stock return and turnover in the Chinese stock

market compared with the Hong Kong stock market began before the enactment of

the IPO policy in the former, it is likely that other factors caused this change. A

potential reason is that the new IPO policy restricted the amount of capital raised

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in the IPO, so firms have an incentive to increase earnings to make seasoned equity

offerings at higher price after they are listed. As the difference-in-differences methord

used here cannot rull out these other factors, it can only provide evidence that the

hypothesis raised in this paper is supported by the empirical results, and these results

are consistent with the hypotheses.

3 Do Investors Invest in Familiarity? Evidence

from the Shanghai-Hong Kong Stock Connect

3.1 Introduction

There are two stock exchanges in the mainland China, one in Shanghai, the other

in Shenzhen, and only one in Hong Kong. Before the mainland Hong Kong stock

connect policy, it was difficult for investors in Hong Kong to trade stocks listed on

the mainland China stock exchanges, and vice versa. In 2014, the Hong Kong and the

Shanghai Stock Exchanges launched the Shanghai-Hong Kong Stock Connect, with

the Shenzhen-Hong Kong Stock Connect being introduced two years later. These

Stock connect policies allow investors at one location to conveniently buy stocks

listed at the other.

In this paper, I test the effect of the Shanghai-Hong Kong Stock Connect on the

Chinese stock market. More specifically, I investigate whether investors in Hong Kong

who began to invest in the Shanghai stock market was more likely to buy companies

which were also dual-listed on the Hong Kong Stock Exchange and whether this effect

weakened gradually as they became familiar with the companies listed only on the

125

Shanghai stock market.

When stocks become constituents of indices, they become thetarget of passive

management funds, meaning their investor base enlarges, the impact of this member-

ship being documented by scholars. For example, Morck and Yang (2001) found a

large value premium in the average q ratios of firms in the S&P 500 index relative

to the q ratios of similar firms. They documented that passive investment strategies

requiring the purchase of the specific 500 stocks in this index increase demand for

them, pushing up their prices. In their investigation of the effect of this change on the

price, Chen, Noronha and Singal (2004) found that there is a permanent increase in

the price of the new firms but no permanent decline in the deleted ones. This asym-

metric price effect of the S&P 500 index additions and deletions can be attributed to

changes in investor awareness.

In future research, Robinson, Kleffner and Bertels (2011) documented that being

added to the Dow Jones Sustainability World Index (DJSI) results in a sustained

increase in a firm’s share price, but there is a temporary decrease in value for the first

10 days after being removed. Using a sample of S&P 500 additions between 1976-

2001, Cai (2007) found a significantly positive price reaction but no volume reaction

for the industry- and size-matched firms, with the matching-firm price reaction being

negatively related to the added firms’s weight in its industry.

Some literature documents that investors are more likely to invest in local firms.

For example, Huberman (2001) documented that household portfolios tend to be

126

concentrated, that employees tend to own their employers’ stocks in their retirement

account, and as have others, found a home country bias in the international arena.

As these phenomena suggest, people invest in familiarity, a conclusion suggested by

Ivkovic and Weisbenner (2005) who documented that households exhibit a strong

preference for local investments. They found that the average household generates an

additional annualized return of 3.2% from its local holdings relative to its nonlocal

holdings, and excess returns from investing locally are even larger among stocks not

in the S&P 500 index. They are receiving higher returns due to this preference.

In early research, Coval and Moskowits (1999) found that U.S. investment man-

agers exhibit a strong preference for locally headquartered firms, particularly small,

highly levered firms that produce nontraded goods, results consistent with the hy-

pothesis that asymmetric information between local and nonlocal investors drive the

preference for geographically proximate investments. Strong and Xu (2003) used

survey data from fund managers on the prospects for international equity markets

to investigate why investment portfolios are significantly biased towards domestic

equities, finding that fund managers from the United States, the United Kingdom,

continental Europe, and Japan show a significant relative optimism towards their

home equity markets.

Other research investigates the impact of opening stock markets to foreign in-

vestors, including an examination of their investment behavior. For example, Kim

and Singal’s (2000) examination of the effects associated with the opening of a stock

127

market found that stock returns increase immediately after the opening without a

concomitant increase in volatility and that stock markets function more efficiently.

Using data on foreign stock ownership in Japan from 1975 to 1991, Kang and Stulz

(1997) showed that foreign investors overweight shares of firms in the manufacturing

sector, large firms, and firms with good accounting performance, with low unsystem-

atic risk, and with low leverage, and that small firms with a high level of exports have

greater foreign ownership controlling for size.

Using data from 2014 to 2016 from the Chinese stock market, I find in this paper

that stocks dual-listed on the Shanghai and Hong Kong stock markets have higher

monthly stock returns than those on the Shanghai-Hong Kong stock connect but

listed only in Shanghai; however, this difference in stock returns decreases gradually.

Moreover, stocks dual-listed in Shanghai and Hong Kong have a higher daily average

turnover than stocks on the Shanghai-Hong Kong stock connect but listed only in

Shanghai; however, this difference also decreases gradually. These empirical results

are consistent with the hypothesis expolored in this paper that Hong Kong investors

were more likely to buy Shanghai-Hong Kong dual-listed stocks through the stock

connect channel in the beginning and that they extended their investment target to

stocks involved in the stock connect but listed only in Shanghai after they gained

experience and became familiar with Shanghai stock market. Section 2 presents the

hypotheses, while Section 3 provides the descriptive statistics of the data and the

variables, and Section 4 shows the empirical results. Section 5 provides implications

128

and limitations.

3.2 the Hypotheses

Two kinds of stocks are included in the Hong Kong mainland stock connect policy,

those listed on both the Hong Kong Stock Exchange and the Shanghai Stock Exchange

(or Shenzhen for Shenzhen-Hong Kong stock connect) already, and other blue chips

listed only on a single exchange and are constituent stocks of the market indices. For

the Shanghai-Hong Kong Stock Connect, the Shanghai stocks involved are constituent

stocks of the SSE 180 Index and the SSE 380 Index; while the Hong Kong stocks are

constituent stocks of the Hang Seng Composite LargeCap Index and the Hang Seng

Composite MidCap Index. For Shenzhen-Hong Kong Stock Connect, the Shenzhen

stocks are constituent stocks of the Shenzhen Component Index and the Shenzhen

SME Innovation Index with a market value of more than 6 billion Chinese yuan; while

the Hong Kong stocks are those on the Shanghai-Hong Kong stock connect and the

constituent stocks of the Hang Seng Composite SmallCap Index with a market value

of more than 5 billion Hong Kong Dollar.

At the beginning of the enactment of Shanghai Hong Kong stock connect polity,

the Hong Kong investors were not familiar with the stocks not listed on their stock

exchange, meaning they were more likely to buy Shanghai-Hong Kong dual-listed

stocks through the stock connect channel. However, after they gained experience

and became familiar with the Shanghai stock market, they extended their investment

target to stocks involved in the stock connect but listed only in Shanghai. Hence,

129

the Shanghai-Hong Kong dual-listed stocks exhibited better performance and larger

transaction volumes than those on the Shanghai-Hong Kong stock connect immedi-

ately after it was enacted, however, the differences in stock returns and transaction

volumes gradually decreased. Therefore, I hypothesize:

H1a: Stocks dual-listed in Shanghai and Hong Kong have higher monthly stock

return than stocks on the Shanghai-Hong Kong stock connect but listed only in

Shanghai.

H1b: The difference in stock returns between the dual-listed and other stocks on

the Shanghai-Hong Kong stock connect decreases gradually.

H2a: Stocks dual-listed in Shanghai and Hong Kong have higher daily average

turnovers than stocks on the Shanghai-Hong Kong stock connect but listed only in

Shanghai.

H2b: The difference in the daily average turnovers between dual-listed and other

stocks on the Shanghai-Hong Kong stock connect decreases gradually.

3.3 The Data and Variables

The Shanghai Hong Kong stock connect opened on November 17, 2014, while the

Shenzhen Hong Kong stock connect was launched approximately two years later in

December 5, 2016. Data between these two dates are used as the sample here for

conducting a difference-in-differences test. Monthly data are used in this research,

with 35087 observations being used in this 25-month period. These data come from

the WIND Database, which is a major producer of data on the Chinese financial

130

market. During this sample period, stocks listed in Shanghai but which are also

involved in the Shanghai Hong Kong stock connect were affected by the policy, while

stocks listed in Shenzhen were not, meaning four kinds of stocks are included in

this research: stocks listed in both Shanghai and Hong Kong, stocks listed only in

Shanghai and involved in Shanghai Hong Kong stock connect, stocks listed in both

Shenzhen and Hong Kong, and stocks listed only in Shenzhen and are constituent

stocks of Shenzhen Component Index and Shenzhen SME Innovation Index. The last

kind of stocks are expected to be involved in Shenzhen Hong Kong stock connect when

it is launched. The latter two kinds are used as control groups to address influence

from other factors. The variables used in this paper are as follows:

• SHHit is a dummy variable with 1 representing firms listed in Shanghai and 0

for firms listed in Shenzhen;

• HKit is a dummy variable with 1 representing firms dual-listed in Hong Kong

and Shanghai (or Shenzhen) and 0 for firms listed in only Shanghai (or Shen-

zhen);

• TVit is the market value of tradable shares of Firm i at the end of quarter t,

tvit = ln (TVit);

• Rit is the return for Stock i in Month t;

• V Lit is the daily average volatility for Firm i in Month t, a volatility derived

from the standard deviation of daily stock returns over a month;

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• TOit is the daily average turnover rate for Firm i in Month t, defined as the

ratio of the transaction volume to tradable shares;

• CLit is the closing price of Firm i at the end of Month t, clit = ln (CLit);

• βit is the β coefficient of Firm i at the end of Month t calculated using monthly

returns for the prior 24 months;

• BMit is the book to market ratio at the end of period t; if the book value is

negative, then I assign a very small value for the book to market ratio to this

firm which will subsequently be winsorized; bmit = ln (BMit);

• ROEit is the return on equity of Firm i for the most recent four consecutive

quarters before Month t; I use earnings before abnormal terms as the numerator

and the book equity at the end of the period as the denominator to calculate

the return on equity;

• AGit is the year over year percentage growth of total assets for Firm i at the

end of the most recent quarter before Month t, agit = ln (1 + AGit).

The definition of the recent quarter is as follows. For bmit, ROEit, agit, I use

financial data available to investors at the beginning of Month t if I use the return

of this month as the subsequent return. For example, if I use data from March 2017

to calculate the subsequent return, I will use the financial data in the third quarter

report of 2016 to calculate bmit, ROEit, agit because listed companies are required

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to release their annual reports for 2016 and the first quarter report for 2017 no later

than April 30, 2017.

To avoid the impact of extreme values on the results, I winsorize all variables

in this paper. For agit,βit, ROEit, Rit, I replace observations within the bottom

or top 0.01 quantiles of the variables by the bottom or top 0.01 quantile values of

the variables, respectively. For bmit, I replace observations within the bottom 0.02

quantile of the variable by the bottom 0.02 quantile value of the variable. For tvit, clit,

TOit, V Lit, I replace observations within the top 0.02 quantiles of the variables by

the top 0.02 quantile values of the variables, respectively. I winsorize some variables

on only one side because extreme values are unlikely to appear on the other.

Table 43 presents the descriptive statistics as raw data before winsorizing. SH AH

refers to firms dual-listed on both the Shanghai Stock Exchange and the Hong Kong

Stock Exchange; SH A refers to firms listed only on the Shanghai Stock Exchange

but also involved in the Shanghai Hong Kong stock connect; SZ AH refers to firms

dual-listed on the Shenzhen Stock Exchange and the Hong Kong Stock Exchange; SZ

A refers to firms listed on the Shenzhen Stock Exchange and are constituent stocks

of the Shenzhen Component Index and Shenzhen SME Innovation Index.

Because the data are not winsorized, medians are more representative than means.

The medians of the market value of tradable shares indicate that dual-listed firms are

larger than firms listed only in mainland China, and firms listed on the Shanghai

Stock Exchange are larger than those listed on the Shenzhen Stock Exchange. The

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Table 43: Descriptive Statistics Before Winsorizing

Variable Market Obs Min Max Median Mean Std. ErrorTV SH AH 1638 0.83 439.19 15.93 40.89 63.74(Billion CNY) SH A 11489 0.81 236.62 6.18 11.13 17.46

SZ AH 370 0.39 195.73 7.64 18.66 28.08SZ A 21590 0.44 125.97 4.40 6.51 7.44

R (%) SH AH 1638 -47.05 195.87 1.78 2.91 17.58SH A 11489 -62.90 170.91 2.54 2.77 18.07

SZ AH 370 -51.03 68.28 3.95 2.98 15.67SZ A 21590 -63.75 138.53 3.13 3.51 19.90

TO (%) SH AH 1638 0.10 36.15 2.59 4.03 4.05SH A 11489 0.12 34.14 3.67 4.48 3.14

SZ AH 370 0.10 29.77 3.06 4.45 4.23SZ A 21590 0.01 36.89 4.37 5.19 3.42

VL (%) SH AH 1638 0.38 8.72 2.61 2.86 1.67SH A 11489 0.03 8.83 2.86 3.15 1.64

SZ AH 370 0.59 8.31 2.78 3.03 1.49SZ A 21590 0.03 9.34 3.13 3.36 1.62

CL SH AH 1638 2.37 90.8 8.79 12.69 10.78SH A 11489 2.42 317.52 12.58 16.08 15.57

SZ AH 370 3.69 86.45 13.73 19.19 16.57SZ A 21590 2.29 228.87 15.16 18.87 14.26

BM SH AH 1638 -0.01 1.45 0.56 0.60 0.30SH A 11489 0.01 1.44 0.33 0.38 0.22

SZ AH 370 0.04 1.66 0.37 0.50 0.37SZ A 21590 -0.05 1.55 0.23 0.28 0.18

β SH AH 1638 -0.39 3.32 1.08 1.14 0.51SH A 11489 -1.40 3.48 0.93 0.93 0.42

SZ AH 370 -0.04 1.92 0.92 0.86 0.31SZ A 21590 -1.78 3.03 0.84 0.82 0.46

ROE(%) SH AH 1638 -922.62 24.40 8.19 1.25 53.94SH A 11489 -119.67 57.05 6.17 5.48 10.48

SZ AH 370 -17.89 20.25 4.37 5.18 7.32SZ A 21590 -20644 54.12 5.60 2.97 145.32

AG (%) SH AH 1638 -26.49 789.95 8.89 17.35 65.86SH A 11489 -73.79 887.22 9.28 18.83 49.80

SZ AH 370 -11.52 64.07 9.90 14.11 15.18SZ A 21590 -84.78 5638.76 12.55 27.37 111.81

SH AH refers to firms dual-listed on both the Shanghai Stock Exchange and theHong Kong Stock Exchange; SH A refers to firms listed only on the Shanghai StockExchange but also involved in the Shanghai Hong Kong stock connect; SZ AH refersto firms dual-listed on the Shenzhen Stock Exchange and the Hong Kong Stock Ex-change; SZ A refers to firms listed on the Shenzhen Stock Exchange and are con-stituent stocks of the Shenzhen Component Index and Shenzhen SME InnovationIndex.

134

medians of returns are slightly lower for the dual-listed firms in Shanghai while this

result is opposite for the dual-listed firms in Shenzhen. The medians of both daily

average turnover and daily average volatility are lower for dual-listed firms than for

the other stocks on both the Shanghai and Shenzhen stock exchanges. The medians

of both the book-market ratios and the beta coefficients are lower for the dual-listed

firms than for the other stocks on both the Shanghai and Shenzhen stock exchanges.

The medians of the returns on equity are higher for the dual-listed firms in Shanghai

while the result is opposite for the dual-listed firms in Shenzhen. The medians of the

growth rate of total assets are lower for the dual-listed firms than for the other firms.

Table 44 presents the descriptive statistics after winsorizing, meaning the means

of the variables are not affected by extreme values. The means of the market values of

tradable shares indicate that the dual-listed firms have a larger size than firms listed

only in mainland China, and firms listed on the Shanghai Stock Exchange are larger

than those listed on the Shenzhen Stock Exchange. All four kinds stocks have similar

monthly returns, though the means of returns are slightly lower for the dual-listed

firms on both the Shanghai and Shenzhen stock exchanges. The means of both the

daily average turnovers and the daily average volatility are lower for the dual-listed

firms than for the other stocks for both the Shanghai and Shenzhen stock exchanges.

The means of both the book-market ratios and the beta coefficients are lower for the

dual-listed firms than for the other stocks for both the Shanghai and Shenzhen stock

exchanges. The returns on equity are similar for all four types of firms, while means

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Table 44: Descriptive Statistics After Winsorizing

Variable Market Obs Min Max Median Mean Std. ErrorTV SH AH 1638 0.83 55.13 15.93 23.53 19.27(Billion CNY) SH A 11489 0.81 55.13 6.18 10.15 10.99

SZ AH 370 0.39 55.13 7.64 15.19 14.59SZ A 21590 0.44 55.13 4.40 6.42 6.64

R (%) SH AH 1638 -45.45 56.36 1.78 2.59 15.78SH A 11489 -45.45 56.36 2.54 2.66 17.44

SZ AH 370 -45.45 56.36 3.95 2.97 15.47SZ A 21590 -45.45 56.36 3.13 3.40 19.14

TO (%) SH AH 1638 0.10 13.98 2.59 3.91 3.57SH A 11489 0.12 13.98 3.67 4.44 2.98

SZ AH 370 0.10 13.98 3.06 4.22 3.26SZ A 21590 0.01 13.98 4.37 5.11 3.13

VL (%) SH AH 1638 0.38 7.56 2.61 2.85 1.64SH A 11489 0.03 7.56 2.86 3.14 1.61

SZ AH 370 0.59 7.56 2.78 3.03 1.48SZ A 21590 0.03 7.56 3.13 3.35 1.60

CL SH AH 1638 2.37 56.40 8.79 12.57 10.15SH A 11489 2.42 56.40 12.58 15.49 10.43

SZ AH 370 3.69 56.40 13.73 18.76 15.36SZ A 21590 2.29 56.40 15.16 18.32 11.59

BM SH AH 1638 0.06 1.45 0.56 0.60 0.30SH A 11489 0.06 1.44 0.33 0.38 0.22

SZ AH 370 0.06 1.66 0.37 0.51 0.37SZ A 21590 0.06 1.55 0.23 0.28 0.18

β SH AH 1638 -0.28 2.09 1.08 1.13 0.46SH A 11489 -0.28 2.09 0.93 0.93 0.40

SZ AH 370 -0.04 1.92 0.92 0.86 0.31SZ A 21590 -0.28 2.09 0.84 0.82 0.45

ROE(%) SH AH 1638 -37.33 24.40 8.19 5.50 12.39SH A 11489 -37.33 26.89 6.17 5.62 8.99

SZ AH 370 -17.89 20.25 4.37 5.18 7.32SZ A 21590 -37.33 26.89 5.60 5.11 9.43

AG (%) SH AH 1638 -21.71 220.62 8.89 13.61 28.88SH A 11489 -21.71 220.62 9.28 17.12 32.32

SZ AH 370 -11.52 64.07 9.90 14.11 15.18SZ A 21590 -21.71 220.62 12.55 23.32 37.83

SH AH refers to firms dual-listed on both the Shanghai Stock Exchange and theHong Kong Stock Exchange; SH A refers to firms listed only on the Shanghai StockExchange but also involved in the Shanghai Hong Kong stock connect; SZ AH refersto firms dual-listed on the Shenzhen Stock Exchange and the Hong Kong Stock Ex-change; SZ A refers to firms listed on the Shenzhen Stock Exchange and are con-stituent stocks of the Shenzhen Component Index and Shenzhen SME InnovationIndex.

136

of the growth rate of total assets are lower for the dual-listed firms than other firms.

3.4 Empirical Results

I use a difference-in-differences method to test the hypothesis whether investors in

Hong Kong view Shanghai Hong Kong dual-listed stocks and other Shanghai Hong

Kong stock connect involved stocks differently. I run the following Fama-MacBeth

cross-sectional regression for each month during the sample peried.

Rit+1 = a0 + a1shhit + a2hkit + a3shhit ∗ hkit + a4Rit + a5clit + a6βit

+a7bmit + a8V Lit + a9TOit + a10tvit + a11ROEit + a12agit + eit

(30)

Column 1 of Table 45 shows the estimate results of Equation 1.

The coefficient of the interaction term hkit ∗ shhit is positive though insignificant,

suggesting that the monthly return of a dual-listed firm is 1.1% higher than that of a

firm listed only in Shanghai and involved in the Shanghai Hong Kong stock connect,

controlling for other variables which affect stock returns. This difference is econom-

ically significant at 14.03% annually, a result that is consistent with Hypothesis 1a.

Because investors in Hong Kong are not familiar with the firms listed only on the

Shanghai stock exchange, they prefer to buy those dual-listed on the Shanghai and

Hong Kong stock exchanges than firms listed only on Shanghai stock exchange when

they buy stocks through the Shanghai Hong Kong stock connect. The coefficients

of Rit, TOit and tvit are all negative and significant, indicating that higher current

stock returns, turnovers, and firm size predict lower stock returns in the subsequent

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Table 45: Impact of Shanghai Hong Kong Stock Connect on Stock Returns andTurnovers

SHHit is a dummy variable with 1 for firm listed in Shanghai and 0 for firms listed in Shenzhen;HKit is a dummy variable with 1 for firm dual-listed in Hong Kong and Shanghai (or Shenzhen)and 0 for firms listed in only Shanghai (or Shenzhen);CLit is the closing price of firm i at the endof period t; clit = ln (CLit); Rit is the return for stock i in month t; TVit is the market value oftradable shares of firm i at the end of period t; tvit = ln (TVit); ROEit is return on equity of firm iin the recent four consecutive quarters before month t; AGit is year over year percentage growth oftotal asset for firm i at the end of the most recent quarter before month t;agit = ln (1 +AGit); BMit

is the book to market equity ratio at the end of period t;bmit = ln (BMit); βit is the β coefficientof firm i at the end of month t; V Lit is the daily average volatility for firm i in month t; TOit isthe daily average turnover rate for firm i in month t; ***: Coefficient is significant at the 0.01 level(2-tailed); **: Coefficient is significant at the 0.05 level (2-tailed); *: Coefficient is significant at the0.10 level (2-tailed); Standard errors adjusted for autocorrelation are in parentheses.

Column 1 2Dependent Rit+1 TOit+1

constant 0.276** 0.080***(0.104) (0.011)

hkit -0.001 0.000(0.007) (0.001)

shhit -0.007* -0.001***(0.003) (0.000)

hkit ∗ shhit 0.011 0.001(0.008) (0.002)

Rit -0.066** 0.009(0.031) (0.008)

clit -0.005 0.000(0.006) (0.001)

βit -0.002 0.002**(0.003) (0.001)

bmit 0.002 -0.001***(0.005) (0.000)

V Lit 0.201 -0.182***(0.202) (0.041)

TOit -0.340*** 0.693***(0.098) (0.025)

tvit -0.011** -0.003***(0.004) (0.000)

ROEit 0.008 -0.012***(0.017) (0.001)

agit 0.003 0.002**(0.005) (0.001)

138

month.

Column 8 in Table 46 and Figure 18 show the coefficients of the interaction terms

in Equation 1 for each month, all of which are above 0.05 for the first two months

after the enactment of the Shanghai Hong Kong stock connect. These are significant

at 1% in the second month before following a descending trend afterward, a trend

consistent with hypothesis 1b. The difference in stock return between firms dual-listed

in Shanghai and Hong Kong and firms listed only in the Shanghai but involved in

Shanghai Hong Kong stock connect decreases gradually. As investors in Hong Kong

gain familiarity with firms listed only in Shanghai, they began to treat them the same

as the dual-listed firms.

To test Hypothesis 2a, I run the following Fama-MacBeth cross-sectional regres-

sion for each month during the sample period.

TOit+1 = a0 + a1shhit + a2hkit + a3shhit ∗ hkit + a4Rit + a5clit + a6βit

+a7bmit + a8V Lit + a9TOit + a10tvit + a11ROEit + a12agit + eit

(31)

Column 2 of Table 45 shows the estimate results of Equation 2. The coefficient

of the interaction term hkit ∗ shhit is positive though insignificant, implying that the

daily average turnovers in the subsequent month of a dual-listed firm is 0.1% higher

than that of a firm listed only in Shanghai and involved in the Shanghai Hong Kong

stock connect, controlling for other variables which affect turnovers. This difference

is approximately 3% of the daily average turnover of a Shanghai Hong Kong dual-

listed stock, which is economically significant considering that transactions through

139

the Shanghai Hong Kong stock connect are approximately 0.5% of the total daily

transactions on the Chinese stock market, a result consistent with hypothesis 2a.

Investors in Hong Kong prefer to buy firms dual-listed on the Shanghai and Hong

Kong stock exchanges than firms listed only on the Shanghai stock exchange when

they buy stocks through Shanghai Hong Kong stock connect. The coefficients of βit,

TOit and agit are all positive and significant, while the coefficients of bmit, V Lit, tvit

and ROEit are all negative and significant, indicating that the higher beta coefficients,

turnovers, growth rates of total assets predict lower subsequent daily turnovers while

higher book-market ratios, volatility, firm sizes and returns on equity predict lower

daily turnovers in the subsequent month.

Column 8 in Table 48 and Figure 20 present the coefficients of the interaction

terms in Equation 2 for each month. These coefficients which are above 0.008 for the

first two months after the enactment of the Shanghai-Hong Kong stock connect, are

significant at 1% in the second month followed by a subsequent descending trend.

This trend is consistent with Hypothesis 2b. The gap in the subsequent daily average

turnover between firms dual-listed in Shanghai and Hong Kong and firms listed only in

Shanghai but involved in the Shanghai-Hong Kong stock connect decreases gradually.

As investors in Hong Kong gain familiarity with the firms listed only in Shanghai,

they began to trade them similar to trading dual-listed firms.

Table 46 presents the stock returns for each month after the enactment of the

Shanghai-Hong Kong stock connect. Columns 1 and 2 show the raw monthly re-

140

turns of firms dual-listed on the Shanghai Stock Exchange and the Hong Kong Stock

Exchange, and the raw monthly returns of firms listed only on the Shanghai Stock

Exchange but involved in the Shanghai-Hong Kong stock connect. Column 3 shows

the difference between the returns of these two types of firms, while Columns 4 and

5 present the raw monthly returns of firms dual-listed on the Shenzhen Stock Ex-

change and the Hong Kong Stock Exchange and the raw monthly returns of firms

listed only on the Shenzhen Stock Exchange and are constituent stocks of Shenzhen

Component Index and Shenzhen SME Innovation Index, respectively. Column 6

shows the difference between the returns of these two types of firms, and Column 7

shows the difference between the return differences in Columns 3 and 6, which is the

difference-in-differences of the stock returns between the dual-listed and the Shang-

hai (Shenzhen) Stock Exchange listed firms between the Shanghai Stock Exchange

(already affected by the Shanghai-Hong Kong stock connect) and the Shenzhen Stock

Exchange (not yet affected by the Shenzhen-Hong Kong Stock connect). The standard

errors are shown in parentheses. Column 7 and Figure 18 show that the difference-in-

differences returns are positive for 17 of the 25 months. These difference-in-differences

returns are above 7% per month and statistically significantly different from zero in

the first two months, and these difference-in-differences returns began to decrease

gradually afterwards, a trend consistent with Hypothesis 1b. The gap in subsequent

returns between the firms dual-listed in Shanghai and Hong Kong and the firms listed

only in Shanghai but involved in the Shanghai-Hong Kong stock connect decreases

141

gradually.

Table 46: Mean of monthly returns after enactment of Shanghai Hong Kong StockConnect

Month A HKEx DIF-IN-DIFColumn 1 2 3 4 5 6 7 8Stocks SH AH SH A DIF SZ AH SZ A DIF DID Coef.1 26.76 16.05 10.71 14.62 11.23 3.39 7.32*(4.04) 0.054(0.037)2 11.70 -0.96 12.66 0.92 -4.09 5.01 7.65***(2.78) 0.074***(0.026)3 -6.51 4.68 -11.19 1.51 10.19 -8.68 -2.51(3.40) -0.013(0.031)4 9.18 11.54 -2.36 6.47 12.54 -6.07 3.71(2.71) 0.032(0.026)5 23.51 20.32 3.19 21.84 21.57 0.27 2.92(4.14) 0.031(0.040)6 4.07 8.00 -3.93 5.59 13.06 -7.47 3.54(4.55) 0.031(0.042)7 15.66 25.21 -9.55 19.19 26.53 -7.34 -2.21(4.78) -0.009(0.041)8 -21.50 -34.09 12.59 -28.53 -35.49 6.96 5.63(3.45) 0.072**(0.030)9 9.36 19.37 -10.01 14.70 19.18 -4.48 -5.53(4.65) -0.018(0.040)10 -20.97 -28.03 7.06 -25.11 -31.94 6.83 0.23(3.22) 0.023(0.030)11 9.36 17.17 -7.81 13.08 24.92 -11.84 4.03(4.04) 0.029(0.031)12 5.03 9.35 -4.32 7.20 15.94 -8.74 4.42(3.67) 0.043(0.035)13 -4.18 -1.70 -2.48 2.19 1.51 0.68 -3.16(3.31) -0.017(0.032)14 -16.37 -21.32 4.95 -14.65 -23.85 9.2 -4.25(3.07) -0.033(0.028)15 -0.98 0.05 -1.03 -0.36 2.77 -3.13 2.10(2.99) 0.032(0.027)16 2.12 -2.75 4.87 -1.30 -5.74 4.44 0.43(2.69) 0.018(0.024)17 6.41 14.25 -7.84 11.10 19.26 -8.16 0.32(3.02) 0.009(0.027)18 -7.58 -8.94 1.36 -8.23 -9.34 1.11 0.25(2.99) 0.024(0.028)19 -0.09 1.95 -2.04 -1.10 4.88 -5.98 3.94(3.09) 0.040(0.030)20 8.71 9.37 -0.66 10.23 9.09 1.14 -1.80(2.51) -0.005(0.024)21 1.73 2.07 -0.34 14.85 -0.65 15.5 -15.84***(2.28) -0.147***(0.021)22 -3.67 -2.91 -0.76 -8.13 -2.03 -6.1 5.34**(2.14) 0.0493(0.0207)23 2.80 3.28 -0.48 8.16 3.82 4.34 -4.82***(1.62) -0.049***(0.016)24 6.46 4.24 2.22 4.68 3.77 0.91 1.31(2.25) 0.003(0.021)25 1.78 -1.35 3.13 -0.15 -2.77 2.62 0.51(1.69) -0.010(0.016)

***: Coefficient is significant at the 0.01 level (2-tailed); **: Coefficient is significantat the 0.05 level (2-tailed); *: Coefficient is significant at the 0.10 level (2-tailed);Standard errors are in parentheses in column 7 and 8.

In Table 47, I collapse the rows in Table 46 to obtain aggregate results for every

142

Figure 18: Mean of monthly returns after enactment of Shanghai Hong Kong StockConnect

five months during the sample period. In Columns 1, 2, 4 and 5, I calculate the

cumulative returns for every five months and record the difference-in-differences re-

turns in Column 7. The difference-in-differences returns for the first five months are

significantly different from zero at a 5% confidence level. Furthermore, Column 7 and

Figure 19 show clearly that the difference-in-differences returns exhibit a descend-

ing trend. The standard errors are shown in parentheses. Column 8 and Figure 19

show the time series average coefficients of the interaction terms obtained from the

monthly regression in Column 1 of Table 45. Monthly time series standard errors

for each five months are in parentheses calculated using method found in Fama and

Macbeth (1973), and I correct for auto correlation according to Fama and French

(2002). The coefficients of the interaction terms decrease gradually, a trend consis-

tent with Hypothesis 1b. The gap in subsequent returns between the firms dual-listed

in Shanghai and Hong Kong and the firms listed only in Shanghai but involved in the

Shanghai-Hong Kong stock connect decreases gradually.

Table 48 presents the daily average turnovers for each month after the enactment

143

Table 47: Mean of 5 month returns after enactment of Shanghai Hong Kong StockConnect

Month A HKEx DIF-IN-DIFColumn 1 2 3 4 5 6 7 8Stocks SH AH SH A DIF SZ AH SZ A DIF DID Coef.1-5 75.77 60.85 14.92 51.24 60.37 -9.13 24.05**(10.84) 0.036(0.026)6-10 -21.05 -23.97 2.92 -24.25 -25.18 0.93 1.99(7.26) 0.020(0.013)11-15 -8.69 -0.30 -8.40 12.82 16.35 -3.53 -4.87(8.46) 0.011(0.033)16-20 8.60 13.07 -4.47 8.64 16.48 -7.84 3.37(7.03) 0.017(0.011)21-25 8.87 5.16 3.71 17.51 1.90 15.61 -11.90***(4.40) -0.031(0.043)

***: Coefficient is significant at the 0.01 level (2-tailed); **: Coefficient is significantat the 0.05 level (2-tailed); Standard errors are in parentheses in column 7 and 8.

of the Shanghai-Hong Kong stock connect. Columns 1 and 2 show the daily average

turnovers of firms dual-listed on the Shanghai Stock Exchange and the Hong Kong

Stock Exchange, and the daily average turnovers of firms listed only on the Shanghai

Stock Exchange but involved in the Shanghai-Hong Kong stock connect. Column 3

shows the difference between the daily average turnovers of these two types of firms,

while Columns 4 and 5 present the daily average turnovers of firms dual-listed on the

Figure 19: Mean of 5 month returns after enactment of Shanghai Hong Kong StockConnect

144

Shenzhen Stock Exchange and the Hong Kong Stock Exchange, and the daily average

turnovers of firms listed only on the Shenzhen Stock Exchange and are constituent

stocks of the Shenzhen Component Index and Shenzhen SME Innovation Index, re-

spectively. Column 6 shows the difference between the daily average turnovers of

these two types of firms, and Column 7 shows the difference between the turnover

differences in Columns 3 and 6, which is the difference-in-differences of the turnovers

between the dual-listed and the Shanghai (Shenzhen) Stock Exchange listed firms

between the Shanghai Stock Exchange (already affected by the Shanghai-Hong Kong

stock connect) and the Shenzhen Stock Exchange (not yet affected by the Shenzhen-

Hong Kong Stock connect). The standard errors are in parentheses. Column 7 and

Figure 20 show that the difference-in-differences turnovers are positive for 17 of the 25

months and above 1% during the first three months. More specifically, the difference-

in-differences turnover is significantly different from zero in the second month at a

1% confidence level, and the difference-in-differences turnovers subsequently began

to decrease gradually, a pattern consistent with Hypothesis 2b. The difference in

subsequent daily average turnovers between firms dual-listed in Shanghai and Hong

Kong and firms listed only in Shanghai but involved in the Shanghai-Hong Kong

stock connect decreases gradually.

In Table 49, I collapse the rows in Table 48 to obtain aggerate results for every

five months of the sample period. In Columns 1, 2, 4 and 5, I calculate the monthly

average of the daily average turnovers for every five months and record the difference-

145

Table 48: Mean of monthly turnovers after enactment of Shanghai Hong Kong StockConnect

Month A HKEx DIF-IN-DIFColumn 1 2 3 4 5 6 7 8Stocks SH AH SH A DIF SZ AH SZ A DIF DID Coef.1 6.18 5.89 0.29 4.22 5.03 -0.81 1.10(0.73) 0.008(0.005)2 6.80 4.63 2.17 3.94 3.91 0.03 2.14***(0.63) 0.015***(0.004)3 3.97 3.92 0.05 3.21 4.18 -0.97 1.02(0.63) -0.002(0.005)4 4.18 4.67 -0.49 3.95 5.24 -1.29 0.80(0.69) -0.002(0.005)5 7.53 7.28 0.25 7.50 7.82 -0.32 0.57(0.79) 0.001(0.005)6 8.40 7.06 1.34 7.27 7.12 0.15 1.19(0.76) 0.007(0.005)7 8.66 8.49 0.17 8.44 8.69 -0.25 0.42(0.81) -0.003(0.005)8 8.39 7.33 1.06 6.88 7.30 -0.42 1.48**(0.62) 0.012**(0.005)9 6.14 6.99 -0.85 5.02 7.82 -2.8 1.95**(0.89) 0.008(0.007)10 4.51 5.75 -1.24 4.11 6.20 -2.09 0.85(0.87) -0.005(0.006)11 2.86 4.62 -1.76 2.84 5.57 -2.73 0.97(0.99) 0.002(0.005)12 3.93 6.00 -2.07 4.77 7.46 -2.69 0.62(0.99) 0.003(0.005)13 2.75 4.43 -1.68 4.49 5.97 -1.48 -0.20(0.83) -0.005(0.005)14 2.52 3.78 -1.26 4.06 4.92 -0.86 -0.40(0.67) -0.005(0.005)15 2.13 2.85 -0.72 3.08 3.80 -0.72 0.00(0.67) 0.003(0.004)16 2.51 3.41 -0.9 2.75 4.41 -1.66 0.76(0.80) -0.000(0.005)17 2.53 3.79 -1.26 2.67 5.44 -2.77 1.51*(0.86) 0.008(0.005)18 1.69 2.71 -1.02 1.96 3.98 -2.02 1.00(0.76) 0.003(0.005)19 1.32 2.42 -1.1 1.55 3.98 -2.43 1.33(0.86) 0.004(0.005)20 1.89 3.03 -1.14 2.24 4.57 -2.33 1.19(0.79) 0.003(0.005)21 1.53 2.75 -1.22 3.66 3.40 0.26 -1.48**(0.62) -0.013***(0.005)22 1.32 2.50 -1.18 3.89 3.13 0.76 -1.94***(0.58) -0.009***(0.005)23 1.09 1.99 -0.9 3.60 2.61 0.99 -1.89***(0.55) -0.011**(0.004)24 1.91 2.65 -0.74 3.85 3.28 0.57 -1.31**(0.64) -0.000(0.005)25 2.64 2.80 -0.16 3.63 3.26 0.37 -0.53(0.63) -0.000(0.005)

***: Coefficient is significant at the 0.01 level (2-tailed); **: Coefficient is significantat the 0.05 level (2-tailed); *: Coefficient is significant at the 0.10 level (2-tailed);Standard errors are in parentheses in column 7 and 8.

in-differences turnovers in Column 7. The difference-in-differences turnovers of the

first and second five months are significantly different from zero at a 1% confidence

146

Figure 20: Mean of monthly turnovers after enactment of Shanghai Hong Kong StockConnect

level. Column 7 and Figure 21 shows more clearly that the difference-in-differences

turnovers exhibit a descending trend. The standard errors are in parentheses. Col-

umn 8 and Figure 21 show the time series average coefficients of the interaction terms

obtained from the monthly regression in Column 2 of Table 45. The monthly time

series standard errors for each five months are in parentheses, calculated using the

method found in Fama and Macbeth (1973), and I correct for auto correlation ac-

cording to Fama and French (2002). The coefficients of the interaction terms decrease

gradually, a pattern consistent with Hypothesis 2b. The difference in the subsequent

daily average turnovers between firms dual-listed in Shanghai and Hong Kong and

firms listed only in Shanghai but involved in the Shanghai-Hong Kong stock connect

decreases gradually.

3.5 Summary and Conclusions

Using data from 2014-2016 in the Chinese stock market, I investigate whether in-

vestors in Hong Kong who began to invest in the Shanghai stock market were more

147

Table 49: Mean of 5 month turnovers after enactment of Shanghai Hong Kong StockConnect

Month A HKEx DIF-IN-DIFColumn 1 2 3 4 5 6 7 8Stocks SH AH SH A DIF SZ AH SZ A DIF DID Coef.1-5 5.73 5.28 0.45 4.56 5.24 -0.68 1.13***(0.44) 0.004(0.009)6-10 7.22 7.12 0.10 6.34 7.43 -1.09 1.19***(0.46) 0.004(0.005)11-15 2.84 4.34 -1.50 3.85 5.54 -1.69 0.19(0.61) -0.000(0.004)16-20 1.99 3.07 -1.08 2.23 4.48 -2.25 1.17**(0.59) 0.004*(0.002)21-25 1.70 2.54 -0.84 3.73 3.14 0.59 -1.43***(0.42) -0.007(0.008)

***: Coefficient is significant at the 0.01 level (2-tailed); **: Coefficient is significantat the 0.05 level (2-tailed); *: Coefficient is significant at the 0.10 level (2-tailed);Standard errors are in parentheses in column 7 and 8.

likely to buy companies which are also dual-listed on the Hong Kong Stock Exchange

and whether this effect became gradually weaker as their familiarity with the compa-

nies listed only in Shanghai stock market grew.

First, I find that stocks dual-listed in Shanghai and Hong Kong have higher

monthly stock returns than stocks involved in the Shanghai-Hong Kong stock con-

Figure 21: Mean of 5 month turnovers after enactment of Shanghai Hong Kong StockConnect

148

nect but listed only in Shanghai. This difference, which in monthly returns is ap-

proximately 1.1%, amounts to an annually return of 14.03%. However, the difference

in stock returns between the dual-listed and the other Shanghai-Hong Kong stock

connect involved stocks decreases gradually.

Moreover, stocks dual-listed in Shanghai and Hong Kong have higher daily average

turnovers than stocks involved in the Shanghai-Hong Kong stock connect but listed

only in Shanghai. This difference in daily average turnovers is approximately 0.1%,

or approximately 3% of the daily turnover of an average Shanghai Hong Kong dual-

listed stock. However, the difference in daily average turnovers between dual-listed

and other Shanghai Hong Kong stock connect involved stocks decreases gradually.

These empirical results are consistent with the hypothesis that Hong Kong in-

vestors were initially more likely to buy the Shanghai-Hong Kong dual-listed stocks

through the stock connect channel, but extended their investment target to stocks

involved in the stock connect but listed only in Shanghai after they gained experience

and became familiar with the Shanghai stock market.

As with all research, this paper has several limitations. Although the empirical

results support its hypotheses, I cannot rule out other competing hypotheses. For

example, the difference in the stock returns and turnovers between the dual-listed

firms and the single-listed firms on the Shanghai Stock Exchange compared with those

on the Shenzhen Stock Exchange may be due to the structural differences in the firms’

features among the dual-listed firms on the Shanghai Stock Exchange, the constituent

149

stocks in the indices in Shanghai stock market, the dual-listed stocks on the Shenzhen

Stock Exchange, and the constituent stocks in the indices in Shenzhen stock market.

It is possible that other factors caused the patterns found in this paper potentially

because stocks in some industries exhibited a good performance during the sample

period and the difference in the proportions of the stocks in those industries among

the dual-listed firms relative to the single-listed firms in Shanghai are higher than

those in Shenzhen. The difference-in-differences method can only provide evidence

that the hypotheses raised in this paper are supported by the empirical results, and

these results are consistent with the hypotheses.

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