da vinci code final report
TRANSCRIPT
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Da Vinci Code
Mutual Fund
Final Report(November 2007)
Xu (Alex) Da
Qi Zhang
Yingzhi (Gina) Pan
Xing (Cate) Yang
Minh Le
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Content
I) IntroductionII) Retrospect of the MarketIII) Description of Trading TrackIV) Specific Stock AnalysisV) Evaluate Portfolio PerformanceVI) Conclusion
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Part 1: Introduction
Da Vinci Code is a simulation mutual fund managed by Xu Da, Qi Zhang, Yingzhi
Pan, Xing Yang and Min Leh.
The fund seeks to achieve its investment objective by investing in financial
instruments that have good liquidity, including common stocks and bonds. The
investment consists primarily of common stocks in three parts, financial service,
blue chip and high-tech.
Our trading date is from September 4th to November 23th. The initial fund is
$500,000.
Part 2: Retrospect of the Market
2.1 Macro Economy
The U.S. economy spurted in the third-quarter as new-house prices dropped the
most since 1970 and jobless claims rose to a nine-month high. From the earlier
period of this year, cheap credit had been fuelling the crazy housing booms. And
the credit crunch started in August. The deterioration in collateralized debt
obligation (CDO) and credit-default swaps enforced banks to announce big
write-downs and caused drops of their stock prices. The collapse in subprime
lending and turmoil in financial markets interact as both causes and effects to the
continued decline of housing sector.
2.2 Financial Market
The United State Financial Market
When the turmoil spread over the Wall Street, Federal Reserve took its actions to
withstand the fallout of the market. The Sept. 18 decision by the Federal OpenMarket Committee to reduce its benchmark interest rate to 4.75 percent from 5.25
percent seemed to be positive news for the equity market. But it didnt successfully
support the market and Fed cut its benchmark interest rate by another 25 basis
points to 4.5 percent and signaled that its reluctant to lower borrowing costs
further.
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Chinese Financial Market
Fund inflow into Hong Kong market was constantly strong as reflected by the
strengthening of the Hong Kong dollars value against the US currency.
Institutional investors were keeping chasing H-shares, such as China Mobile (CHL)
and China Construction Bank (CCB). They expected that the local market will get abig boost from fund inflows from the mainland after Beijing gives its go signal for
the individual investment scheme to start. In the event that Chinese authorities
adopt additional tightening measures to rein in inflation, actions, such as a further
increase in the reserve rate of banks, could have a mixed impact on mainland banks.
China Mobile, PetroChina and China Oilfield Services went up remarkably. Other
ADRs with China Concept were also hot in US after all those positive news came
in to the market.
Part 3: Description of Trading Track
Our investment period can be divided up into 3 durations.
Graph 1: Historical Portfolio Values
First duration runs from the start of investing to around September 21. In this
duration, we built up our position by buying stocks in financial market, real-estate,
high-tech and bio-tech segment. We also used $100,000 to buy U.S Treasury Bond.
It can be seen from the graph 1 that there was a big jump in return roughly before
September 21. The event leading to this increase was that we bought stocks of
China Eastern Airline (CEA) based on a rumor that Singapore Airline was going to
do a merger with CEA. We bought the stock at $100/share and sold it when it was
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$146/share. Although China National Airline committee later denied the
truthfulness of this rumor, the huge increase in stock price resulted from the rumor
was sufficient for us to make a considerable profit.
Graph 2: China Eastern Airlines (CEA)
The second duration started right after September 21 and lasted till around October
17. In this duration, we started to build up our position in Chinese stocks. We
consecutively bought China Telecom, China Mobile and Petrol China. All of those
stocks did fairly well in this duration since the policy of Chinese government, Gang
Gu Zhi Tong Che,which caused a huge increase in Hong Kong stock market and
subsequently led to an increase in Chinese stock market. We also bought a new IPO
stock called China Digital Television, and in two days, we gained about 50% in
return.
Graph 3: China Digital TV Holding Co., Ltd (STV)
The last duration ran from October 18 to November 25. A lot of fluctuation of
return can be observed during this time period. The overall market performance was
unstable in this duration and the effect of credit crunch was still strong and
affecting the whole market. We held a number of stocks such as Bear Sterns and
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Countrywide in the financial segment, which really gave us a hard time. The other
factor contributing to the loss in this duration was Petrol China, which dropped
30% since first we bought it. We did use momentum strategy to hedge away part of
the loss created by stocks in financial market and Petrol China. We also bought
Microsoft during this period, which turned out to be a very good buy considering it
rose by 20% in two days (resulted from the increase in EPS stated on annual report.)
Two days before the end of investment period, we used a margin of $60000 to buy
Cninsure (CISG). This was the only time we used a margin in our entire trading.
This trade was also base on momentum and it gave us more than 20% return.
Graph 4: Cninsure Inc. (CISG)
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Part 4: Specific Stock Analysis
4.1 PetroChina (PTR)
PetroChina, China's largest oil producer, won permission for a share sale inShanghai in Sep. 24. The company planed a sale of 4 billion shares at 16.7 RMB
(2.25 per share), which was the world's biggest stock sale this year. The company
was also listed in Hong Kong. After that PetroChina became the world's first
company to be valued at $1 trillion.
Graph 5: Performance of PetroChina
However, with an open price at 48.60 (191% of issue price), the stock started to fell
down from the first day listed. Till Nov.23, the stock price has fallen by 30% to
34.59 RMB per share. When this giant elephant slid off the market expectation, the
other China Concept stocks followed.
4.2 Countrywide Financial Corp. (CFC)
As s leading mortgage service provider, Countywide tumbled when the subprime
market collapsed. When their price went down, we lowered our position but instead
of getting out, we choose to reduce our average cost by following the down turn on
an expectation of future rebound.
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Graph 6: Performance of Countrywide
4.3 Microsoft Corp. (MSFT)
Microsoft was put into the map because of the popularity of its main products in
recent years, say Xbox 360 (released in 2005) and Windows Vista System. Several
days before Microsofts earnings release, expectations of a high growth in their
earnings spread. In Oct. 25, the company said their first-quarter earnings rose 23
percent, exceeding analysts' estimates, and raised its forecasts for this year on sales
of the Vista and the video game. The stock price surged immediately to the highest
level since 2002 and thus fuelled our fund solidly.
Graph 7: Performance of Microsoft
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4.4 Exxon Mobil Corp.
Exxon Mobil was allocated in the portfolio as blue-chip stock. As the prices of
natural resources were climbing, energy segment got strong. Besides that, the stock
prices stability in recent year served as a positive control of risk. The company wasalso sorted as a high-dividend company, which provides expectation of dividend
yield other than arbitrage benefits.
Graph 8: Performance of Exxon Mobil
Part 5: Evaluate Portfolio Performance
5.1 Investment Objective and Portfolios Normal Return
A. Objectives:
Understanding what objectives we are looking for and assessing whether or not we
follow these objectives are the first step in evaluating portfolio performance. After
nearly three months, our portfolio performance is consistent with our objectives set
up in the prospectus.
Our fund seeks to achieve its investment objective by investing in financial
instruments that have good liquidity, including common stocks and bonds.
Specifically, its main composition is including common stocks (60% to 70%)
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Final PositionFinance Service Blue Chip High-Tech
BSC 18208 CHL 49560 INTC 11610
C 30700 GE 12185 GSK 5019
CFC 17280 PTR 93037 MSFT 32970GS 20745 WMT 9006 WX 13752
LEH 17238 XOM 42840 GA 33475
Total 104171 Total 206628 Total 96826
15.0% 29.7% 13.9%
Bond Others
B-T169 109650 CISG 265200
(Except Margin)
15.76% 25.64%
ranking from mid to large cap stocks. With these common stocks, we intended to
invest about (1) 30% high-tech segments (bio-tech and pharmaceutical companies),
(2) 40% of large cap and high quality stocks (from Dow Jones Industrial Average)
and (3) 30% undervalued but promising stocks (financial services and real estate).
Table 1 shows a snapshot of our portfolios final position, in which proportion of
each type of stocks are conforming with our objectives.
TABLE 1: Snapshot on Our Portfolios Final Position
B. Portfolios Normal Return:
We are the leading group in the portfolio management by return (as at Nov 29
2007). We started with the amount of capital 500,000 USD in
September 3rd 2007, our portfolio value is 695,627.79 USD
as at Nov 29 2007 (actually we ended transaction in Nov
23rd 2007). With nearly 3 months return is 39.13 percent,
we come the first ranking (over 30 groups) this year (see
Table 1). Factor influencing the portfolios performance is
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the enormous and intelligent efforts with total 141
transactions successfully conducted; roughly 3 trading
transactions, on average, were made every day (excluding
weekends and holidays).
TABLE 2: Snapshot is as of Previous Market Close on November 29, 2007
5.2 Evaluation of portfolio performance:
To assess our portfolio performance, we look at the portfolio performance on a
relative basis. To do this, we compare our results to a relevant market index (S&P500). We think that this index is the best reflection our goals (return and risk).
Hence, we use this index as a baseline/benchmark to determine how well we did on
a relative basis.
A. Cumulated return:
Cumulated return is one of the most common used measures to compute ongoing
progression for a certain period. This return expresses an image of tendency for a
whole period as well as for one point of time to another. In this paper, Figure 1
shows the portfolios daily cumulated return difference relative to the benchmark.
At two first week period, our portfolios daily cumulated return was lower than that
of the market. After that, our portfolio rose impressively over the market. In general,
the markets daily cumulated return tended to be stable (just increasing 0.001
percent for 3 months), whereas that of the portfolio clearly went up to 0.56 percent
daily. With this difference, our portfolio created an outstanding cumulated return of
36.56 percent.
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Graph 1: Daily Cumulated Return
The above judgment is, to some extent, not fairly because market had different risk
(see Table 3). Our portfolios risk was double than that of market (0.48 and 0.22
respectively). However, with the absolutely high of annualized cumulated return,
we can conclude that we did derive an average return higher than the market. This
achievement can be obtained either through superior timing or superior security
selection. We did select high beta securities during a time when we thinks the
market will perform well and low (or negative) beta stocks at a time when we
thinks the market will perform poorly.
TABLE 3: Annualized Return and Risk
PORTFOLIO S&P 500
Annualized Return 641.25% 0.274%
Annualized SD 0.48 0.22
B. Measuring risk-adjusted performance:
Due to the fact that some portfolio evaluation techniques measure for one
requirement (return or risk separately), we need to look at portfolio performance
measures that combine risk and return into ONE single value.
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Alternative portfolio return
To make an alternative portfolio with the same risk level of the market, we combine
our securities and a risk free asset (assumption that Rf equal 5% per year), with the
weigh investing in our securities is 45 percent. For the alternative portfolio, its
annualized return is 293.17 percent (see Table 4), much higher than that of market(0.274 percent in Table 3).
TABLE 4: Risk Adjusted Measures
RISK ADJUSTED
MEASURES
Weight 0.45
Return of Portfolio* 293.17%
M-square 292.90%
Sharpe Ratio 13.18
Treynor Measure 22.43
Jens. Alpha 6.38
Info Ratio 254.89
M-squared return
M-squared return is a measure to help to compare return that has been adjusted for
risk. We do this to put the portfolio and the benchmark (market) on the same risk
basis before we compare return. We compare our portfolios M-squared return to
the benchmark return. If the M-squared higher than the benchmark, our portfolio
has a positive risk-adjusted return. In our portfolio, M-squared is 2.929 (see Table
4). Hence, we can say that our portfolio did better than the market.
Treynor Portfolio Performance Measure
Treynor ratio measures returns earned in excess of that which could have been
earned on a riskless investment per each unit of market risk. In other words, the
Treynor ratio is a risk-adjusted measure of return based on systematic risk. It
is similar to the Sharpe ratio, with the difference being that the Treynor ratio uses
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beta as the measurement of volatility. A larger Treynor ratio indicates a better
portfolio. All risk averse investors would want to maximize this value.
For our portfolio, its Treynor ratio is 22.42. This number is very huge. To prove
how big this ratio is, in this section, we compute the markets Treynor ratio by
subtracting Rf from S&P 500s annualized return then dividing by beta of themarket (which is equal to 1). Then, we have markets Treynor ratio is - 0.0471. This
result shows that the S&P 500 did not even beat-the-bond and that our portfolio
defeated the market.
Sharpe ratio
Sharpe ratio is a measure of the excess return (or Risk Premium) per unit of risk. It
is used to characterize how well the return of an asset compensates the investor for
the risk taken. When comparing two assets each with the expected return against
the same benchmark with return Rf, the asset with the higher Sharpe ratio gives
more return for the same risk. Investors are often advised to pick investments with
high Sharpe ratios.
Our portfolios Sharpe ratio over the holding period was 13.18 (see Table 4) while
that of S&P 500 was -.222. This result shows that our portfolio made a bigger risk
premium per unit of risk than the market did.
Jensens alpha
Jensens alpha quantifies the extent to which an investment has added value relativeto a benchmark. This alpha is equal to the Investments average return in excess of
the risk free rate minus the Beta times the Benchmarks average return in excess of
the risk free rate. The basic idea is that to analyze the performance of an investment
manager we must look not only at the overall return of a portfolio, but also at the
risk of that portfolio. Using Jensens Alpha, we find out evidence of our portfolio
superior performance. Its alpha is 6.38, this means that our portfolio is earning
excess return. In other words, we have beat the market with our stock picking
skills.
1
Markets Treynor ratio = (0.274% - 5%)/1 = - 0.047
2 Markets Sharpe ratio = (0.274%-5%)/21.87% = -.22
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Information Ratio
The Information Ratio measures the excess return divided by the amount of risk.
Excess return is the amount of performance over or under a given benchmark index.
Thus, excess return can be positive or negative (comparing the annualized returns
of the Fund/Portfolio in question with those of a selected benchmark). Ourportfolios information ratio is 254.89 (see Table 4). This number means that our
portfolios risk-adjusted excess return over the market is 254.89 times.
Based on above analysis, we are proud to confirm that we have beat the market
due to:
1) Our ability to derive above average returns for a given risk class (largerisk-adjusted returns). This ability can be achieved either through superior
timing or superior security selection. We can select high beta securities during a
time when we think the market will perform well and low (or negative) beta
stocks at a time when we think the market will perform poorly.
2) Our ability to completely diversify the portfolio to eliminate all unsystematicrisk. A completely diversified portfolio correlated perfectly with the completely
diversified market portfolio because both include only systematic risk.
Part 6: Conclusion
Our investments are primarily done according to what we planned in our prospectus.
We did decrease the total position invested in stocks in financial service and
high-tech segment since both segments performed poorly during the investment
period. Our profits mainly come from two parts. First of all, during early investing
period, the portfolio made a sound return due to the remarkable performance by
high-tech stocks and Chinese stocks. We used momentum investing strategy and
bought IPOs (mainly IPOs of Chinese stocks) using circulating fund we reserved.
We bought those stocks on their first or second day of trading and were able to gain
about 50% return in just two days. We also followed a strategy that is to buy stockson the day when there is good news coming out and prices are increasing due to the
good news. Momentum investing is certainly not a guarantee to winning. What we
did that can be considered successful was that we used diversification and risk
control. Catching opportunities when the market was good and controlling losses
when market did not deliver gave us correspondent return to the risk we bore.
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We also learned some tough lessons from investments we made. One is that we
undermined the subprime mortgage crises. We thought that this storm should be
gone by end of September. We bought a large number of shares in that segment and
our underestimation of the severity of the crises made us lose a lot of money. In the
end we had to reduce our position by selling. Secondly, we did not fully prepare for
the fast change occurred in Chinese Stock Market. Our misjudgment on PetroChina
(PTR) cost us almost 30% loss in return in the stock.