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    Journal of Accounting,

    Auditing & Finance27(2) 267293

    The Author(s) 2012

    Reprints and permission:sagepub.com/journalsPermissions.nav

    DOI: 10.1177/0148558X11409153

    http://jaaf.sagepub.com

    An Examination of theIncremental Usefulness ofBalance-Sheet InformationBeyond Earnings in ExplainingStock Returns

    Yuan Huang1 and Guochang Zhang2

    Abstract

    Until recently, studies in accounting research have predominantly focused on using earnings

    information to explain stock returns. This article examines how information provided by the

    other primary financial statementthe balance sheetis incrementally useful for determining

    returns. Based on existing models of equity value, the author shows theoretically that returns

    should be related to three balance sheetrelated variablesthe previous periods (equity)

    capital investment, contemporaneous capital investment, and the profitability changein addi-

    tion to the earnings variables used in previous studies. Our empirical analysis yields the fol-

    lowing results. First, the three balance sheetrelated variables each have a statistically and

    economically significant effect that is incremental to those of the earnings variables on equityreturns, and together they improve the explanatory power of an earnings-only-based model

    from 11.5% to 13.9% in annual cross-sectional samples. Second, over time, the incremental

    explanatory power (IEP) of the balance-sheet variables is negatively correlated with the expla-

    natory power of earnings. Third, in cross sections, the balance sheetrelated variables have a

    greater IEP for firms whose earnings are less informative (negative vs. positive earnings firms

    and young vs. mature firms) and for firms whose future earnings are more uncertain (firms

    with high vs. low analyst forecast errors, and firms with high vs. low analyst forecast disper-

    sions). These results suggest that information from the balance sheet complements that con-

    tained in the income statement about equity returns.

    Keywords

    stock returns, balance sheet, incremental usefulness, earnings

    The relationship between stock returns and accounting data has been one of the most inten-

    sively studied topics in accounting research. Until recently, the focus in this line of research

    was predominantly on using income-statement data (such as earnings and earnings changes/

    growth) to explain returns, with the other primary financial statementthe balance sheetleft

    1The Hong Kong Polytechnic University, Hung Hom, Kowloon2Hong Kong University of Science and Technology, Clear Water Bay, Kowloon

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    largely neglected, as is evident from the reviews of Lev (1989) and Kothari (2001). This is

    unsatisfactory because the balance sheet constitutes a vital part of a financial report, which

    informs investors of the sources and uses of the economic resources for a firms operations

    and thus provides essential information for assessing firm value and changes in firm value

    (returns).1 The lack of attention to the balance sheet in return studies is in contrast to researchin related areas that has already demonstrated the importance of balance-sheet information in,

    for example, explaining stock prices (as opposed to returns; e.g., Barth, Beaver, & Landsman,

    1998; Burgstahler & Dichev, 1997), evaluating the quality of earnings (e.g., Baber, Chen, &

    Kang, 2006), forecasting future earnings (e.g., Lev & Thiagarajan, 1993; Ou & Penman,

    1989), and using residual income or EVA (which recognizes a charge on equity capital) to

    explain market prices and returns (Biddle, Bowen, & Wallace, 1997; Stewart, 1994) and to

    determine executive compensation (Balachandran & Mohanram, 2010).

    Our study is thus motivated to better understand the role of balance-sheet information in

    explaining returns beyond earnings. We address three specific questions. First, how should

    balance-sheet information be integrated along with earnings in return models in ways that

    are consistent with theoretical valuation models? Second, how much improvement can

    balance-sheet information bring to return models that already use earnings variables?

    Third, and more intriguingly, under what circumstances is balance-sheet information incre-

    mentally more useful in the diverse and changing business environment? These questions

    are of interest to standard-setting bodies, which need to decide whether to adopt a more

    balance sheetbased or a more income statementbased model of financial reporting,2 and

    to capital market investors, who rely on reported financial information to allocate capitals

    among different firms.

    We use two existing models of equity value developed in Ohlson (1995) and Zhang

    (2000) to identify the relevant data from the balance sheet. Both models follow the dis-

    counted cash flow framework, but they take different approaches to financial forecasting

    (explained in more detail below). Starting from Ohlsons (1995) model, where equity value

    is a linear function of earnings, current book value, and the previous years book value, we

    show that returns can be expressed as a function of earnings, the earnings change (relative

    to the previous year), and the change in equity book value over the prior period (lagged

    capital investment). However, based on Zhangs (2000) model, wherein equity value equals

    the earnings capitalization (representing the value of assets in place) plus real options to

    expand or contract the scale of operations, we show that returns are a function of earnings,

    the change in profitability (return on equity [ROE]) relative to the previous year, and thechange in equity book value (contemporaneous capital investment).

    Based on the predictions of these two models, we set up a parsimonious return equation

    that incorporates three balance sheetrelated variables (the profitability change, contem-

    poraneous capital investment, and lagged capital investment) and two earnings variables

    (the earnings level and the earnings change). This equation includes the factors arising

    from both Ohlson (1995) and Zhang (2000). As the economic settings examined in Ohlson

    (1995) and Zhang (2000) are complementary to each other in certain aspects, it is both

    informationally and economically meaningful to combine the factors identified from the

    two settings for empirical analysis.

    Our empirical return model incorporates earnings and the earnings change as explana-tory variables, which are the factors used in previous earnings-based studies. The incremen-

    t l ff t f b l h t i f ti i t d b th th th f t

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    distinguishing feature of Zhangs model is that firms make capital investment decisions

    contingently on profitability. Profitability being normalized earnings indicates a firms abil-

    ity to generate value from invested capital, and thus, it serves as a guiding signal for invest-

    ment activities. This suggests that when performing firm valuations, investors first need to

    determine a firms profitability, using both balance-sheet and income-statement data,3 andthen based on profitability they need to assess the firms course of operations going for-

    ward (which incorporates the possibility of exercising real options) and the resulting cash

    flows. Intuitively, because value generation hinges on the amount of capital invested and

    the efficiency in utilizing invested capital, returns as changes in value should depend on

    changes in invested capital (equity book value) and changes in efficiency (profitability),

    both of which require balance-sheet data.

    Although profitability derives jointly from earnings and equity book value, given that our

    benchmark model already incorporates the earnings variables, any incremental explanatory

    power (IEP) of profitability (ROE) is attributable to balance-sheet information. For this

    reason, we classify ROE changes as a balance-sheet item in this study. In our empirical

    analysis, we further exploit the nonlinearity of Zhangs (2000) model caused by real options

    to examine how the coefficient on profitability changes with the level of profitability.4

    Lagged capital investment is also included in our return model as another balance-sheet

    item. This factor arises from Ohlsons (1995) model to recognize the charge for the addi-

    tional capital used to generate the incremental earnings in the current period relative to the

    prior period (the earnings change). Lagged capital investment does not arise from Zhang

    (2000), wherein a firms net investment is assumed to be zero for the period preceding the

    date of valuation.

    In our empirical analysis, we examine the incremental usefulness of balance-sheet infor-

    mation in a comprehensive data set from Compustat and Center for Research in Security

    Prices (CRSP) for the period of 1968 to 2007. Our results show that controlling for the

    earnings variables, the three balance sheetrelated variables (the profitability change, cur-

    rent capital investment, and lagged capital investment) each have a significant incremental

    effect, statistically and economically, on returns (although the effect of lagged investment

    is insignificant in some of the subsamples) and that the directions of the effects are consis-

    tent with the predictions of the underlying valuation models. Vuongs tests performed on

    pooled sample and annual samples consistently indicate that our return model performs sig-

    nificantly better than a benchmark that relies solely on earnings variables. In annual regres-

    sions, the average explanatory power of our comprehensive model that combinesbalance-sheet and income-statement information is 13.9%, compared with that of 11.5%

    for the earnings-only-based model.

    To gain insights into when, and under what circumstances, balance-sheet information is

    more useful, we conduct year-by-year analysis and analysis on various subsamples. We

    find that the usefulness of balance-sheet information in supplementing earnings variables is

    not uniform over time. Rather, the two tend to move in opposite directions. The Pearson

    correlation between the explanatory power of earnings variables and the incremental power

    of balance-sheet information in annual samples is 20.29 (t = 1.90), suggesting that

    balance-sheet information supplements earnings information to a greater extent in years in

    which the latter is less useful for explaining returns.We find a similar complementarity in cross sections. Prior studies have shown that earn-

    i l l l t f fi ith ti i (C lli M d & W i

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    for firms with negative (vs. positive) earnings and for young (vs. mature) firms. In addition,

    we find that balance-sheet information is incrementally more useful for firms with low ana-

    lyst forecast accuracies or large forecast dispersions, suggesting that investors rely on the

    balance sheet more when they face greater uncertainty about future earnings.

    Our study contributes to the literature in several ways. First, it corroborates recent stud-ies that aim to refine the returnearnings relationship by distinguishing between different

    sources of earnings growth. Balachandran and Mohanram (in press) decompose earnings

    growth into a change in residual income component and a growth from investment compo-

    nent, and find significant improvement in explanatory power. Similarly, Harris and Nissim

    (2006) distinguish between earnings growth from profitability increases and earnings

    growth from investment. Consistent with these studies, we show that the different factors

    causing earnings growth (such as the profitability change and prior-period investment) each

    play a distinct role in the return model. But beyond those variables causing the contempora-

    neous earnings change, our study further incorporates factors that affect future earnings

    growth (such as current-period capital investment).5

    Second, our study provides insights into when balance-sheet information is more useful

    in improving the performance of return models. Our annual regressions show that balance-

    sheet variables are more useful in supplementing earnings information in the years when

    earnings have low power in explaining stock returns. Our analyses of subsamples in the

    cross section further show that balance-sheet information is more useful when firms are in

    an operational state in which earnings are less informative as a value indicator (e.g., when

    earnings are negative) and when investors face more uncertainty in predicting future earn-

    ings. The study thus highlights the complementary nature of the two primary financial

    statements.

    Third, compared with the simpler linear models adopted in previous studies that use

    earnings and equity book value in equity valuation (Barth et al., 1998; Collins et al., 1997),

    our return model embodies a more comprehensive set of information. When equity value is

    expressed as a linear function of earnings and equity book value, the return model derived

    from it is a linear function of earnings, the earnings change, and contemporaneous capital

    investment.6 As we show, these factors constitute only a subset of the information used in

    our model. More importantly, we introduce balance sheetrelated variables from formal

    models of equity value (Ohlson, 1995; Zhang, 2000), and in so doing, we explain the eco-

    nomic rationale for why these particular variables are relevant and predict the properties of

    their coefficients.Fourth, based on an extensive survey of return studies, Lev (1989) observes that earn-

    ings variables alone convey limited information for returns. Subsequently, several studies

    have attempted to augment the information set by bringing in future earnings numbers as

    additional explanatory factors (e.g., Collins, Kothari, Shanken, & Sloan, 1994; Kothari,

    1992; Kothari & Sloan, 1992) on the ground that prices (and returns) anticipate future per-

    formance. However, future earnings are not observable, and in practice, investors must rely

    on observable information to set prices. In our study, we take an alternative approach to

    address the issue by making use of a broader set of reported financial data, thus avoiding

    the hindsight problem.7

    The remainder of the article is organized as follows: Section titled IncorporatingBalance-Sheet Information Into Return Models shows how in theory, balance-sheet data

    b i t d d i t t d l S ti titl d E i i l R h D i d

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    information with broad-based samples and is followed by section titled Complementarity

    Between Balance-Sheet and Income-Statement Information, which reports the subsample

    analyses to explore how the usefulness of balance-sheet information varies over time and

    in the cross section. We conclude the article in the section titled Summary and

    Concluding Remarks.

    Incorporating Balance-Sheet Information Into Return Models

    In this section, we conduct a theoretical analysis to show how balance-sheet information

    can be incorporated into return models. We start with two existing valuation models that

    relate equity value to accounting data, namely, those of Ohlson (1995) and Zhang (2000).

    Both models arise from the residual income framework, which is based on discounted cash

    flow valuation and clean surplus accounting, but they adopt different approaches to fore-

    casting future cash flows (or residual income). Whereas Ohlson assumes that residual

    income follows a linear (AR1) process over time, Zhang incorporates capital investment

    decisions that are contingent on profitability signals (which give rise to real options). As

    the two models capture different aspects of the accounting-value linkage, we will draw

    insights from both in designing our empirical research.8

    Fundamental Factors for Explaining Returns According to Ohlsons Model

    Starting with the discounted dividend model and assuming the clean surplus relation and a

    linear process for residual income, Ohlson (1995) shows that equity value at date t (Vt) is a

    linear function of contemporaneous earnings (Xt), book value (Bt), and dividends (net ofcapital contribution: Dt), as follows:

    Vt5k(jXt Dt)1(1 k)Bt; 1

    where k = r w / (1 1 r2 w) is a coefficient related to discount rate r and residual income

    persistence w (0\ w\ 1), andj = (11r) / r is the earnings capitalization factor. Using

    the clean surplus relation, we replace the dividend term in (1) with earnings and equity

    book value Dt5Bt1 Bt1Xt, which enables us to express equity value in terms ofaccounting variables as:9

    Vt5k(j 1)Xt1Bt kBt1: 2

    To obtain the expression for returns, we apply Equation (2) to date t1 1 to get

    Vt115k(j 1)Xt111Bt11 kBt: 3

    Over the period from date t to date t1 1, the equity return is defined as

    Rt115Vt111Dt11 Vt

    Vt: 4

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    Rt115Vt111(Xt11 Bt111Bt) Vt

    Vt

    5(k(j 1)Xt111Bt11 kBt1(Xt11 Bt111Bt) k(j 1)Xt1Bt kBt1

    Vt

    5Xt11Vt1k(j 1)DX

    t11

    Vt kDB

    t

    Vt;

    5

    where DXt11 = Xt11 2 Xt is the change in earnings in period t1 1 relative to period t, and

    DBt = Bt2 Bt21 is the change in equity capital at date t relative to date t2 1, which is the

    previous periods capital investment. This derivation identifies the same two earnings vari-

    ables as in Easton and Harris (1991), but it shows that a complete return function from

    Ohlson (1995) also requires lagged capital investment.

    In Ohlsons (1995) model, capital investment activities are value-neutral in that they

    have zero net percent value (NPV) because, by assumption, expected future residual

    income is tied only to realized residual income and not to ongoing capital investments.10

    Consequently, contemporaneous capital investment plays no role for explaining equity

    returns. However, lagged capital investment enters into Equation (5), along with earnings

    and the earnings change, because for the additional earnings generated in the current period

    relative to the prior period (i.e., the earnings change), one needs to recognize the capital

    charge on the incremental capital used. This explains why the coefficient on lagged capital

    investment is negative in Equation (5). Besides, the model also predicts the coefficient on

    earnings level is one and that on earnings change is positive.

    Fundamental Factors for Explaining Returns According to Zhangs Model

    Zhang (2000) develops a valuation model incorporating capital investment decisions that

    are contingent on profitability signals. A firm may expand its operation as profitability

    rises and contract (or abandon) it as profitability declines. Equity value is shown to consist

    of the value of the assets in place (earnings capitalization) and the real options to expand

    or contract, as follows:

    Vt5Bt P(qt)1qt=r1gC(qt); 6

    where qt = Xt / Bt21 is the period t profitability (return on equity); g is the firms growthopportunity, which is defined as the percentage by which the scale of operations (capital

    invested) may grow; and P(qt) and C(qt) are the put option to abandon operations and the

    call option to expand operations, respectively, both normalized by Bt. The values of the

    options derive from the benefits from exercising the options and the likelihood of exercis-

    ing the options, both of which are dependent on profitability q.11

    To derive a model of equity return, we take the change in Equation (6) with respect to

    accounting variables Bt and qt from date t to t1 1:12

    DVt11v(qt;gt; r)DBt11 1Btv0 Dqt11; 7

    where v(qt;gt; r)5P(qt)1qt=r1gC(qt); DVt11 = Vt11 2 Vt is the change in equity valuef d t t t d t t 1 1 DB d D i il l d fi d h i it b k

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    Rt115DVt111Dt11

    Vt5v

    DBt11Vt

    1v0 BtVtDq

    t111

    Dt11

    Vt:

    5DBt11Bt

    1v0 BtVtDqt111

    Dt11Vt

    :

    8

    Using the clean surplus relation, we replace Dt11 in Equation (8) with Xt11 andDBt11and rearrange to obtain the following expression for the period t1 1 return:

    Rt115Xt11Vt

    1v0 BtVtDqt111(

    VtBt

    1)DBt11Vt

    : 9

    Equation (9) shows that the return in period t 1 1 is a function of the profitability

    change, Dqt11, and contemporaneous capital investment, DBt11, in addition to earnings,

    Xt11. Changes in profitability affect returns because they revise expectations about a firms

    ability to generate value from invested capital. Investment results in a change in the capitalbase used to generate value, and so it also affects returns. Both variables revise expecta-

    tions about future cash flows.

    In this model, value generation hinges on two basic attributes of operations as viewed

    from equity holders standpoint: the amount of capital invested (equity book value) and the

    efficiency in utilizing capital to generate profit (profitability). Furthermore, as a firms

    operations move forward, the scale of operation is adjusted in accordance with changes in

    profitability, thus, giving rise to real options. With equity value depending on equity book

    value and profitability, returns as changes in equity value naturally depend on contempora-

    neous equity investment, DBt11, and changes in profitability, Dqt11, both of which require

    balance-sheet data. Although the profitability variable is constructed jointly with balance-

    sheet and income-statement data, we classify it as a balance-sheet variable because when

    we have already controlled for earnings and the earnings change, any IEP of profitability

    changes in explaining return comes from balance-sheet information.

    The two balance sheetrelated factors, DBt11 andDqt11, are linked to real options through

    their coefficients as in Equation (9). The coefficient on Dqt11 contains v05dv=dqt5

    P0(qt)11=r1gC0(qt), which is positive and increasing in qt, given that v itself is increasing

    and convex in qt. In our empirical analysis below, we exploit this nonlinearity feature caused

    by real options to allow the coefficient on Dqt11 to vary with the level of profitability.

    The coefficient on DBt11

    is (Vt / Bt2

    1) = P(qt)1

    qt=r1

    gC(qt)2

    1, representing thenet present value per unit of incremental investment, which incorporates the effect of real

    options. Empirically, this coefficient can be either positive or negative, depending on

    whether the additional investment is profitable, that is, whether P(qt)1qt=r1gC(qt)21 .0.13 To the extent that firms on average make profitable (positive NPV) investments, we

    expect contemporaneous capital investment (DBt11) to have a positive coefficient in the

    return model. Thus, the real optionsbased model of Zhang (2000) provides an economi-

    cally meaningful interpretation of the coefficient ofDBt11.

    Finally, consistent with Equation (5), the coefficient on Xt11 is predicted to be one.

    Empirical Research Design and SampleResearch Design

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    (2000) model, we derive two additional balance sheetrelated variables, contemporaneous

    capital investment and the profitability change, together with earnings. The two models are

    developed from two distinct economic settings, which are complementary in certain

    aspects. Although Zhang considers contingent capital investment decisions, which give rise

    to real options, his model is embedded with an assumption that a firms scale of operationsis kept constant in the period preceding the date of valuation (so that lagged capital invest-

    ment is zero; Zhang, 2000); however, this condition is not imposed in Ohlsons linear

    model. Due to the complementarity between the two models, the factors from one model

    will not completely subsume those from the other in explaining returns. Thus, in our

    empirical analysis, we combine the factors from Ohlson and Zhang, and use them to jointly

    explain returns.

    The main return model for our empirical analysis is the following linear specification:

    Rit5a1bxit1gDxit1hDqit1uDbit1dDbit11eit: 10

    In Equation (10), Dxit and Dbit21 arise from Ohlson (1995), Dqit and Dbit from Zhang

    (2000), andxit from both settings. Although it is true that Dqit already contains the informa-

    tion in Dxit andDbit21 (which is combined in a particular fashion), the three factors origi-

    nate from two distinct economic settings (explained above), and empirically, whether Dqitis sufficient for summarizing the information in Dxit andDbit-1 to explain returns is unclear.

    For this reason, we keep all three factors (Dqit, Dxit, and Dbit21) in return Model (10).

    Model (10) also enables us to conveniently evaluate the incremental usefulness of balance-

    sheet information beyond an earnings onlybased model (that uses only earnings and the

    earnings change).

    The dependent variable in (10), Rit, is the annual stock return, which is calculated from

    the 4th month after the prior fiscal year end to the 3rd month after the current fiscal year

    end. The independent variables are specified as follows: xit = Xit / Vit21 is the earnings in

    year t (Xit) scaled by the market value of equity at the beginning of year t (Vit21); Dxit =

    (Xit2 Xit21) / Vit21 is the earnings change in year t relative to year t2 1 scaled by Vit21;

    Dqit = qit2 qit21 is the profitability change in year t relative to year t2 1, with qit = Xit /

    Bit21; Dbit = (Bit2 Bit21) / Vit21 is capital investment (the change in equity book value) in

    year t scaled by Vit21; andDbit21 = (Bit21 2 Bit22) / Vit21 is the lagged capital investment

    (change in equity book value in year t2 1) scaled by Vit21.

    According to Model (9), the coefficient on Dqit involves the first-order derivative of thegrowth option (included in v). Due to the convex behavior of real options, this coefficient

    is an increasing function of profitability. To capture this property, we distinguish the coeffi-

    cient on Dqit between high- and low-profitability firms in the extended specification below,

    Rit5a1bxit1gDxit1hDqit1hHHDqit1uDbit1dDbit11eit; 10a

    where H is a dummy variable equal to 1 for firms with profitability above the median in a

    year and 0 otherwise. Based on the above theoretical analysis, we expect b = 1, g . 0, h

    . 0, u . 0, andd\ 0 in Model (10a). In addition, following the prediction that the return

    impact associated with one unit of profitability change is greater for more profitable firms,we expect hH. 0.

    T l t th i t l f l f th b l h t i f ti i t d

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    Rit5a1bxit1gDxit1eit: 11

    The factors in Model (11) are a subset of those in Model (10a). Observe that (11) can be

    viewed as a cut-down version of the return Model (5), which is derived from Ohlson

    (1995), without the lagged capital investment term.We assess the incremental usefulness of balance-sheet information in two aspects. First,

    for individual balance sheetrelated variables, we test whether the coefficients are consistent

    with the theoretical predictions. We examine the significance of these variables within our

    (more comprehensive) return Models (10) and (10a), controlling for the earnings variables.

    Second, we examine whether there is a significant improvement in model performance

    after introducing our balance sheetrelated variables, as measured by the IEP, which is cal-

    culated as the R2 of Model (10a) minus that of Model (11) (Biddle, Seow, & Siegel, 1995;

    Brown, Lo, & Lys, 1999).14 That is, we attribute the IEP ofDbit21, Dbit, andDqit, beyond

    Dxit and xit, to balance-sheet information. As already explained above, although Dqit com-

    bines both earnings and book value, its IEP over and above that of the earnings variables isattributable to balance-sheet information. The difference in the explanatory power between

    (10a) and (11) represents the IEP of the three balance-sheet variables as a group. In addi-

    tion, we also estimate the IEPs of the balance-sheet variables individually. This is com-

    puted as the R2 of Model (10a) minus that of Model (10a), excluding the concerned

    balance-sheet variable.

    Beyond examining the IEP on broad cross-sectional samples, we evaluate whether the

    IEP varies over time and across subsets of firms. We describe how the IEP of balance-

    sheet information fluctuates from year to year in relation to the explanatory power of earn-

    ings numbers. We also compare the IEPs of firms that differ in earnings informativeness

    (negative vs. positive earnings firms and young vs. mature firms) or in the predictability of

    future earnings (firms with low vs. high analyst forecast accuracies and firms with large vs.

    small forecast dispersions).

    The Sample and Descriptive Statistics

    We extract the data on earnings before extraordinary items and discontinued operations

    (Xit, No. 18) and equity book value (Bit, No. 60) from the Compustat annual file. We

    extract the stock returns and beginning market values of common equity from the CRSP

    monthly files. Annual returns with dividends (Rit) are compounded from monthly returnsstarting from the 4th month after the prior fiscal year end to the 3rd month after the current

    fiscal year end. We exclude observations with an equity book value less than US$0.5 mil-

    lions or total assets less than US$1.5 millions. To reduce the impact of outliers and

    extremely illiquid stocks, we require the stock price at the beginning of a fiscal year to be

    higher than US$3. We exclude firms in financial industries (whose balance sheets have dis-

    tinctively different features) and utility firms (whose profitability is subject to regulations).

    The resulting sample consists of 87,439 firm-year observations for the period 1968 to 2007.

    In some parts of the analysis, the sample size varies where we also use analyst earnings

    forecasts from the Institutional Brokers Estimate System (I/B/E/S) detailed file.15 We win-

    sorize the continuous variables at the top and bottom 1% of the distribution.Panel A of Table 1 presents the descriptive statistics of the main variables for the

    l d l Th l t k t (R ) h ( di ) f 0 17 (0 09) Th

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    and median around 0, suggesting that the profitability tends to decline over time. Scaled

    contemporaneous capital investment (Dbit) has a mean (median) of 0.06 (0.06), and scaled

    lagged capital investment (Dbit21) has a mean (median) of 0.06 (0.05).

    Panel B reports the pairwise correlations among the variables. We find that all of the

    correlations in the panel are significant at the .01 level. The annual stock return is posi-

    tively correlated with earnings (with a Pearson correlation equal to .28 and a Spearman cor-relation equal to .34) and with the earnings change (.27 and .35). More importantly, the

    return is also positively correlated with the profitability change (.27 and .32), contempora-

    neous capital investment (.21 and .25), and is negatively correlated with lagged capital

    investment (2.05 and2.04), all having the predicted signs.

    We find strong correlations among the accounting variables. The earnings level is posi-

    tively correlated with the earnings change, which is expected (shocks causing earnings to

    increase in year t tend to cause earnings to be higher than in year t2 1). Current capital

    investment is positively correlated with earnings, earnings change, and profitability change,

    and is grossly consistent with the notion of capital following profitability (Biddle, Chen,

    & Zhang, 2001). Current capital investment is also positively correlated with lagged capitalinvestment, suggesting that in general firms do not alter their investment activities drasti-

    ll f t th t

    Table 1. Summary Statistics

    Panel A: Descriptive Statistics

    M SD 1% 25% 50% 75% 99%

    Rit 0.17 0.46 20.57 20.13 0.09 0.36 1.82xit 0.07 0.07 20.10 0.04 0.07 0.11 0.21Dxit 0.01 0.09 20.33 20.02 0.01 0.03 0.33Dbit 0.06 0.13 20.41 0.02 0.06 0.10 0.53Dqit 20.01 0.15 20.49 20.06 0.00 0.04 0.43Dbit21 0.06 0.12 20.41 0.02 0.05 0.10 0.44

    Panel B: Correlation Matrix

    Rit xit Dxit Dbit Dqit Dbit-1

    Rit 0.34 0.35 0.25 0.32 20.04xit 0.28 0.50 0.60 0.37 0.27Dxit 0.27 0.52 0.48 0.84 20.18Dbit 0.21 0.56 0.46 0.32 0.27Dqit 0.27 0.39 0.72 0.30 20.38Dbit21 20.05 0.20 20.30 0.17 20.37

    Note: This table reports the summary statistics for our sample for the period 1968 to 2007. There are 87,439

    firm-year observations. The variables are defined as follow: Rit is the annual stock return from the 4th month after

    the prior fiscal year end to the 3rd month after the current fiscal year end; xit = Xit / Vit21 is the earnings in year t

    (Xit) scaled by the beginning market value of equity (Vit21); Dxit = (Xit2 Xit21) / Vit21 is the earnings change in year

    t relative to year t 2 1 scaled by Vit21; Dqit = (qit2 qit21) is the profitability change of year t relative to year t 2 1,

    with qit = Xit / Bit21; Dbit21 = (Bit21 2Bit22) / Vit21 is the capital investment in year t 2 1 scaled by Vit21; and Dbit =(Bit2 Bit21) / Vit-1 is the current years capital investment scaled by Vit21.In Panel B, the Spearman correlation coef-

    ficients are above the diagonal, and Pearson correlation coefficients are below the diagonal. All of the coefficients

    are significant at the .01 level

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    principle, the earnings change in a year relative to the prior year can arise from two

    sources: a change in book value (due to incremental investment or divestment) and a

    change in profitability (due to improvement or deterioration in operational efficiency). The

    high correlation between the earnings change and the profitability change suggests that,

    empirically, the earnings change between two consecutive years is mostly driven by theprofitability change, rather than capital investment.

    Results From Broad-Based Samples

    This section examines the empirical importance of balance-sheet information in broad

    cross-sectional samples. The objective here is to gain an overall view of how useful the

    balance-sheet variables are beyond earnings variables in explaining stock return.

    Results From the Pooled SampleUsing pooled samples, Table 2 reports the performance of our return Models (10) and

    (10a), relative to the performance of several variants of these two models and earnings-

    only Model (11). In running these pooled regressions, we adjust for cross and serial correla-

    tions with two-way (firm and year) clustering. Panel A shows the regression results of

    Models (10), (10a), and (11). Controlling for earnings and the earnings change, the three

    balance sheetrelated variables, Dqit, Dbit, andDbit-1, all have a significant effect on returns

    and the directions of the effects are as predicted.

    The profitability change (Dqit) has a consistently positive coefficient in all the specifica-

    tions in the table. In row (ii), without introducing the piecewise linear structure, the coeffi-

    cient on Dqit is 0.37 (t = 13.31), significant at the .01 level. For the piecewise linear model

    (row i), the coefficient on Dqit is 0.15 (t = 4.02) for the low-profitability range, significant

    at the .01 level, and increases to 0.53 (=0.15 1 0.38) for the high-profitability range. The

    coefficient increase from the low-profitability to the high-profitability range is significant

    at the .01 level (t = 7.19). These results indicate that the effect of a change in profitability

    on returns is positive and is greater for firms with higher profitability.

    The magnitude of the coefficient demonstrates that the effect of the profitability change

    is economically important. Ceteris paribus, an increase in profitability by one standard

    deviation within the pooled sample (=0.15) is, on average, associated with a return increase

    of 0.02 for low-profitability firms and 0.08 for high-profitability firms, which amounts to13.2% and 46.8% of the average annual return (0.17), respectively.

    In row (i), lagged capital investment (Dbit21) has a negative coefficient of20.13 (t =

    2.56), significant at the .05 level, consistent with the prediction. This suggests that a

    change of lagged capital investment by one standard deviation (0.12) is associated with an

    average return change of20.02.

    Contemporaneous capital investment (Dbit) has a coefficient of 0.28 (row i), significant at the

    .01 level (t = 4.89). In absolute terms, the coefficient on Dbit is almost twice of that on Dbit21and has a much higher t value. An increase in capital investment by one standard deviation

    (0.13) is associated with an average return increase of 0.04, which is economically significant.

    The coefficient on xit is highly significant; the coefficient is 1.02 (t = 3.56) in Model(10a), row (i), and is 0.97 (t = 3.40) in Model (10), row (ii). These values are not signifi-

    tl diff t f th th ti l l f t th 1 l l

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    h i M d l (10 ) (i) hi h i t th b l h t l t d i bl

    Table 2. Pooled Sample Regressions

    Intercept xit Dxit Dqit Dbit Dbit21 H 3 Dqit R2

    Panel A: Comparison of our return models with earnings-only-based return models

    (i) Model (10a) 0.09a 1.02a,d 0.30b 0.15a 0.28a 20.13b 0.38a .090***(3.23) (3.56) (2.56) (4.02) (4.89) (22.56) (7.19)

    (ii) Model (10) 0.10a 0.97a,d 0.19c 0.37a 0.30a 20.14a .087***(3.55) (3.40) (1.73) (13.31) (5.15) (22.69)

    (iii) Model (11) 0.10a 1.11a,d 0.84a .076***(3.27) (4.27) (7.08)

    Panel B: The effect of individual balance-sheet variables

    (iv) 0.09a 1.14a,d 0.50a 0.14a 0.42a .087***(3.22) (4.42) (4.02) (3.41) (7.51)

    (v) 0.10a

    0.91a,d

    0.75a

    0.25a

    .079***

    (3.26) (3.19) (6.95) (4.08)(vi) 0.10a 1.25a,d 0.72a 20.17a .077***

    (3.30) (4.65) (5.35) (23.04)

    Panel C: IEP of individual balance-sheet variables

    (vii) 0.10a 1.06a,d 0.56a 0.30a 20.24a .081***(3.30) (3.69) (4.71) (5.09) (24.59)

    (viii) 0.09a 1.20a,d 0.46a 0.13a 20.07 0.41a .087***(3.21) (4.48) (3.46) (3.40) (21.26) (7.44)

    (ix) 0.09a 0.93a,d 0.38a 0.17a 0.26a 0.39a .090***

    (3.23) (3.30) (3.43) (4.39) (4.32) (7.36)

    Note: IEP = incremental explanatory power.

    This table reports the pooled regression results for Models (10), (10a), and (11):

    Rit5a1bxit1gDxit1hDqit1uDbit1dDbit11eit; 10

    Rit5a1bxit1gDxit1hDqit1hHHDqit1uDbit1dDbit11eit; 10a

    Rit5a1bxit1gDxit1eit: 11

    Rit is the annual stock return from the 4th month after the prior fiscal year end to the 3rd month after the current

    fiscal year end; xit = Xit / Vit21 is the earnings in year t (Xit) scaled by the beginning market value of equity (Vit21);

    Dxit = (Xit2 Xit21) / Vit21 is the earnings change in year t relative to year t 2 1 scaled by Vit21; Dqit = (qit2 qit-1) is

    the profitability change of year t relative to year t 2 1, with qit = Xit / Bit21; Dbit21 = (Bit-1 2 Bit22) / Vit-1 is the capi-

    tal investment in year t 2 1 scaled by Vit21; and Dbit = (Bit 2 Bit-1) / Vit21 is the current years capital investment

    scaled by Vit21. H is a dummy variable equal to 1 for firms whose profitability is larger than the annual median

    level. The t statistics in the parentheses are adjusted for firm-year two-way clustering.a,b, and c indicate the coefficient being significantly different from 0 at the .01, .05, and .1 levels, respectively.dindicates the coefficient is not significantly different from the predicted value of one at the .1 level.

    ***indicates the Vuongs Z statistics for comparing balance-sheet-information-integrated model (Model [10a] and

    its variants) with earnings-only model (Model [11]) being significant at the .01 level. The Z statistics are 26.36 (row

    [i]), 23.35 (row [(ii]), 26.77 (row [iv]), 11.47 (row [v]), 7.70 (row [vi]), 15.60 (row [vii]), 22.98 (row [viii]), and

    25.70 (row [ix]), respectively, in favor of balance-sheet-information-integrated models.

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    an IEP of 1.4%. Vuongs Z statistics for comparing Models (10a) and (11) is 26.36, signifi-

    cant at the .01 level, in favor of Model (10a). Similarly, Vuongs Z statistics for comparing

    Models (10) and (11) is 23.35, also significant at the .01 level, in favor of 10 over 11.

    Panel B details how the individual balance-sheet variables impact the role of Dxit in the

    return model. Inclusion of Dqit has the greatest impact, which reduces the coefficient onDxit from 0.84 in row (iii) to 0.50 in row (iv), whereas the inclusion of Dbit and Dbit21,

    row (v) and (vi), has a smaller impact. The results demonstrate that Dqit has a more robust

    relationship with stock returns than does Dxit, reaffirming the usefulness of balance-sheet

    information for enhancing the performance of return models.

    The IEP of individual balance-sheet variables is provided in Panel C. Among the individ-

    ual factors, the profitability change has the largest IEP of .9%. The IEP of contemporaneous

    capital investment is .3%. The IEP of lagged capital investment is the smallest at .01%.

    In Panels B and C, we conduct Vuongs tests to examine the performance of various bal-

    ance-sheet-information-integrated models relative to the earnings-only model. The results

    show that the models incorporating various subsets of our balance-sheet variables all per-

    form significantly better at the .01 level than the earnings-only model.

    Although the results in Table 2 are from regressions using raw returns as the dependent

    variable (which is originally derived from the underlying valuation models), we also per-

    form regressions using market-adjusted returns as the dependent variable, which aim to

    mitigate potential concerns caused by the differences in the general level of returns across

    years. The results, presented in Table 3, are similar to those reported in Table 2. Therefore,

    our conclusion about the usefulness of the balance-sheet variables that we have identified

    (Dqit, Dbit, andDbit21), both individually and as a whole, remains unchanged.16

    Results From the Annual Samples

    Panel A of Table 4 presents the results of Model (10a) from the annual samples. The top

    part of the panel shows the mean coefficients from the annual regressions across the

    sample years and the FamaMacBeth t values adjusted with NeweyWest approach. The

    average coefficient on xit is 1.26 (t = 7.76), which is not significantly different from the

    theoretical value of one at the .1 level. In annual regressions, the coefficient on xit is signif-

    icantly different from 1 for 27 years at the 0.1 level or better and is not significantly differ-

    ent from 1 for 13 years.

    The average coefficient on Dqit is 0.21 (t = 4.61) for low-profitability firms, and theincremental coefficient on Dqit for high-profitability firms is 0.43 (t = 7.68), showing a

    relationship between returns and Dqit that is dependent on the level of profitability. The

    coefficient on Dqit is significantly positive for low-profitability firms in 21 of the 40

    sample years and the incremental coefficient for high-profitability firms is significantly

    positive in 30 years at the .1 level or better, and generally insignificant for the remaining

    years, conditional on the earnings variables.

    The average coefficient on Dbit is 0.16 (t = 3.78) and that on Dbit21 is 20.09 (t =

    22.54). The coefficient on contemporaneous capital investment is significantly positive in

    17 years (at the 0.1 level or better), insignificant in 21 years, and significantly negative in

    2 years. The coefficient on Dbit21 is significantly negative (at the .1 level or better) in 17years, insignificant in 16 years, and significantly positive in 7 years.

    I P l B f T bl 4 th l R2 f M d l (10 ) ith th f M d l

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    f 6% ( 1984) t 8% ( 1969) ith f 2 4% (t 7 31) M th

    Table 3. Pooled Sample Regressions With Market-Adjusted Returns

    Intercept xit Dxit Dqit Dbit Dbit21 H 3 Dqit R2

    Panel A: Comparison of our return models with earnings-only-based return models

    (i) Model (10a) 20.04 1.06a,d 0.39a 0.15a 0.25a 20.16a 0.37a .109***(21.57) (5.40) (4.33) (5.08) (5.00) (23.56) (8.04)

    (ii) Model (10) 20.02 1.02a,d 0.28a 0.37a 0.27a 20.16a .106***(21.09) (5.16) (3.27) (15.08) (5.33) (23.65)

    (iii) Model (11) 20.032 1.10a,d 0.93a .094***(21.42) (6.40) (11.41)

    Panel B: The effect of individual balance-sheet variables

    (iv) 20.03 1.13a,d 0.58a 0.16a 0.40a .106***(21.57) (6.63) (6.49) (4.88) (8.44)

    (v) 20.03 0.93a,d

    0.86a

    0.21a

    .096***

    (21.46) (4.71) (11.88) (4.11)(vi) 20.03 1.27a,d 0.79a 20.20a .096***

    (21.39) (7.13) (8.01) (24.48)

    Panel C: IEP of individual balance-sheet variables

    (vii) 20.03 1.10a,d 0.65a 0.26a 20.26a .099***(21.43) (5.57) (7.52) (5.28) (26.10)

    (viii) 20.04 1.22a,d 0.53a 0.13a 20.10b 0.40a .106***(21.57) (6.90) (5.32) (4.45) (22.20) (8.31)

    (ix) 20.04 0.95a,d 0.48a 0.18a 0.22a 0.38a .108***

    (21.56) (4.87) (5.99) (5.87) (4.32) (8.29)

    Note: IEP = Incremental explanatory power.

    This table reports the pooled regression results for models (10), (10a), and (11):

    ExRit5a1bxit1gDxit1hDqit1uDbit1dDbit11eit; 10

    ExRit5a1bxit1gDxit1hDqit1hHHDqit1uDbit1dDbit11eit; 10a

    ExRit5a1bxit1gDxit1eit: 11

    ExRit is the annual market-adjusted stock return from the 4th month after the prior fiscal year end to the 3rd month

    after the current fiscal year end; xit = Xit / Vit21 is the earnings in year t (Xit) scaled by the beginning market value ofequity (Vit21); Dxit = (Xit2 Xit21) / Vit21 is the earnings change in year t relative to year t 2 1 scaled by Vit21; Dqit =

    (qit2qit21) is the profitability change of year t relative to year t 2 1, with qit = Xit / Bit21; Dbit21 = (Bit21 2 Bit22) /

    Vit21 is the capital investment in year t 2 1 scaled by Vit21; and Dbit = (Bit2 Bit21) / Vit21 is the current years capital

    investment scaled by Vit21. H is a dummy variable equal to 1 for firms whose profitability is larger than the annual

    median level. The t statistics in the parentheses are adjusted for firm-year two-way clustering.

    ***indicates the Vuongs Z statistics for comparing the balance-sheet information integrated model (Model [10a]

    and its variants) with earnings-only model (Model [11]) being significant at the .01 level. The Z statistics for these

    models are 27.63 (row [i]), 24.57 (row [ii]), 24.30 (row [iv]), 10.30 (row [v]), 9.80 (row [vi]), 16.16 (row [vii]),

    24.78 (row [viii]), and 26.60 (row [ix]), respectively, in favor of balance-sheet-information-integrated models.a,b and c indicate the coefficient being significantly different from 0 at the .01, .05, and .1 levels, respectively.dindicates the coefficient is not significantly different from the predicted value of one at the .01 level.

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    Table 4. Annual Regression Results and the IEP of Balance-Sheet Information

    Year Intercept xit Dxit Dqit Dbit Dbit21 H*Dqit R2

    Mean 0.07 1.26a 0.41a 0.21a 0.16a 20.09b 0.43a .139

    (2.66) (7.76) (4.71) (4.61) (3.78) (22.54) (7.68)1968 0.07a 2.45a,*** 0.91c 0.40b 0.03 20.35 1.07a .167

    (2.86) (5.72) (1.76) (2.49) (0.13) (21.49) (3.98)1969 20.27a 1.59a,** 20.44 20.24b 0.94a 20.35a 20.35b .135

    (217.31) (5.60) (21.41) (22.30) (6.66) (23.08) (22.27)1970 0.01 3.30a,*** 20.78a 20.55a 0.90a 20.16 0.54c .162

    (0.57) (11.62) (23.03) (24.21) (4.05) (21.39) (2.03)1971 0.04b 1.99a,*** 0.61b 0.09 0.14 0.26b 0.46b .149

    (2.53) (7.86) (2.26) (0.81) (0.62) (2.26) (2.05)1972 20.18a 1.08a 0.06 20.09 0.44b 20.12 1.01a .098

    (211.89) (4.85) (0.24) (20.83) (2.11) (21.20) (4.62)

    1973 20.27a

    0.94a

    0.59a

    0.06 0.42b

    20.15b

    0.69a

    .224(220.79) (7.03) (3.36) (0.67) (2.26) (22.11) (4.03)

    1974 20.21a 1.23a 0.66a 20.14 0.23 20.15c 0.74a .211(211.08) (8.18) (4.37) (21.49) (1.13) (21.69) (4.07)

    1975 0.23a 1.44a,** 0.43b 0.20c 0.37c 0.06 0.37a .182(9.71) (7.03) (2.49) (1.67) (1.89) (0.51) (1.88)

    1976 20.07a 1.90a,*** 0.65a 20.11 20.20 0.09 0.65a .181(23.71) (11.16) (4.14) (21.16) (21.25) (0.88) (4.28)

    1977 0.02 1.18a 1.29a 20.03 20.17 0.25a 1.06a .238(1.07) (6.91) (8.25) (20.34) (21.00) (2.64) (6.52)

    1978 0.16a 0.28*** 1.03a 0.08 0.31 0.40a 1.06a .161

    (8.02) (1.56) (5.74) (0.92) (1.60) (3.90) (5.75)1979 0.15a 20.47b,*** 1.80a 0.13 20.12 0.18 0.75a .139(6.77) (22.46) (9.79) (1.37) (20.77) (1.62) (4.54)

    1980 0.47a 20.36c,*** 1.42a 0.57a 0.25 0.35a 0.54a .156(18.35) (21.65) (7.18) (5.39) (1.32) (2.76) (2.79)

    1981 20.15a 1.70a,*** 20.09 0.05 0.44a 20.10 0.15 .160(210.05) (11.35) (20.62) (0.69) (3.80) (21.06) (1.16)

    1982 0.38a 1.33a 0.10 0.11 0.58a 20.08 0.58a .118(16.61) (6.03) (0.53) (0.96) (3.90) (20.78) (3.20)

    1983 0.08a 3.21a,*** 0.17 20.08 20.35a 20.23c 0.61a .144(5.12) (15.06) (0.91) (20.84) (22.28) (21.93) (3.76)

    1984 20.10a 2.15a,*** 20.10 20.09 0.25a 20.06 20.09 .181(29.32) (16.95) (20.82) (21.53) (2.85) (20.89) (20.95)

    1985 0.23a 1.56a,*** 20.10 0.22a 0.47a 20.22 0.15 .150(16.99) (8.66) (20.67) (2.68) (4.37) (22.66) (1.23)

    1986 0.11a 2.39a,*** 20.14 20.10 0.30a 20.20b 0.16 .166(10.09) (13.04) (20.91) (21.26) (2.88) (22.42) (1.48)

    1987 20.06a 1.28a,* 0.31b 0.01 0.12 20.13c 0.28a .122(26.25) (7.88) (2.20) (0.16) (1.38) (21.94) (3.01)

    1988 0.04a 1.61a,*** 0.15 0.03 0.22b 20.05 0.23b .171(3.96) (11.16) (1.08) (0.50) (2.26) (20.79) (2.34)

    1989 0.05a 0.81a 0.44a 0.26a 0.36a 0.19b 0.26b .152(4.35) (4.78) (2.72) (3.28) (3.11) (2.44) (2.21)

    1990 0.01 0.90a 0.43b 0.20b 0.33a 0.05 0.39a .117(0.75) (4.55) (2.23) (2.20) (2.59) (0.48) (2.81)

    1991 0 23a 1 11a 0 21 0 36a 0 18 0 07 0 81a 124

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    Table 4. (continued)

    Year Intercept xit Dxit Dqit Dbit Dbit21 H*Dqit R2

    (14.48) (4.94) (1.04) (3.64) (1.32) (20.66) (5.32)

    1992 0.07

    a

    1.52

    a,***

    0.55

    a

    0.08 0.122

    0.10 0.42

    a

    .149(6.12) (7.89) (3.49) (1.11) (1.07) (21.17) (3.68)1993 0.15a 1.02a 0.55a 0.11 0.18c 0.17b 0.35a .113

    (13.05) (5.82) (3.67) (1.47) (1.95) (2.33) (3.29)1994 0.06a 0.79a 0.29c 0.26a 0.18b 20.15b 0.15c .088

    (5.58) (4.78) (1.97) (3.57) (2.10) (22.19) (1.69)1995 0.30a 20.22*** 0.50a 0.64a 0.28a 20.14 0.26c .080

    (21.61) (21.11) (2.74) (7.42) (2.78) (21.45) (2.32)1996 0.03a 1.96a,*** 20.21 0.28a 0.19a 20.32a 0.10 .109

    (3.00) (11.41) (21.31) (4.08) (2.67) (23.59) (1.11)1997 0.28a 1.43a,** 0.40b 0.40a 0.08 0.02 0.35a .112

    (22.35) (7.79) (2.41) (5.34) (1.06) (0.29) (3.61)1998 20.07a 0.79a 0.09 0.10 0.25a 20.28a 0.20b .063

    (26.21) (4.27) (0.49) (1.24) (3.13) (23.36) (2.25)1999 0.28a 22.01a,*** 0.51b 0.89a 0.24c 20.31a 0.46a .073

    (15.92) (28.04) (2.11) (7.70) (1.68) (22.68) (3.02)2000 0.10a 0.45b,** 0.23 0.81a 0.41a 20.39a 20.11 .091

    (6.11) (2.08) (1.02) (7.76) (3.10) (23.39) (20.76)2001 0.12a 2.88a,*** 20.35b 0.13 0.06 20.57a 0.82a .194

    (7.97) (13.66) (21.82) (1.24) (0.64) (25.89) (6.37)2002 20.13a 1.96a,*** 20.08 0.09 0.09 20.37a 0.13 .113

    (211.80) (10.56) (20.49) (1.17) (0.79) (23.99) (1.14)2003 0.44a 20.04*** 1.34a 0.41a 20.49a 20.25a 1.14a .095

    (29.43) (20.18) (6.28) (3.79) (22.64) (22.58) (5.86)2004 0.06a 2.22a,*** 0.46b 0.12 20.06 20.40a 0.18 .140

    (5.00) (10.72) (2.24) (1.32) (20.47) (23.75) (1.50)2005 0.24a 0.51b,** 1.21a 0.27b 0.00 0.19 0.53a .100

    (16.80) (2.05) (4.62) (2.51) (20.01) (1.53) (3.55)2006 0.08a 1.07a 0.09 0.34a 0.42a 20.32a 20.13 .121

    (7.41) (5.66) (0.48) (3.73) (3.83) (23.37) (21.20)2007 20.05a 1.31a 1.03a 0.22b 20.14 0.15 0.43a .126

    (23.56) (5.39) (4.35) (2.10) (21.07) (1.31) (3.24)

    Panel A reports the regression results of Model (10a) from the annual samples: Rit5a1bxit1gDxit1hDqit1hHHDqit1uDbit1dDbit11eit, where Rit is the annual stock return from the 4th month after the prior fiscal year end to the3rd month after the current fiscal year end; xit = Xit / Vit21 is the earnings in year t (Xit) scaled by the beginning market

    value of equity (Vit21); Dxit = (Xit2 Xit21) / Vit-1 is the earnings change in year t relative to year t 2 1 scaled by Vit21;

    Dqit = (qit2 qit21) is the profitability change of year t relative to year t 2 1, with qit = Xit / Bit21; Dbit21 = (Bit21 2

    Bit22) / Vit21 is the capital investment in year t 2 1 scaled by Vit21; and Dbit = (Bit2Bit-1) / Vit21 is the current years

    capital investment scaled by Vit21. H is a dummy variable equal to 1 for firms whose profitability is larger than the

    annual median level. In the row of mean, the t statistics in parentheses are computed with FamaMacBeth

    methodology and adjusted for heteroscedasticity and autocorrelation of six lags with NeweyWest approach.a, b, and c indicate the coefficient being significantly different from 0 at the .01, .05, and .1 levels, respectively.

    ***, **, and * indicate the coefficient being significantly different from 1 at .01, .05, and .1 levels, respectively.

    (continued)

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    Panel B: This panel reports the R2s of Models (10a) and (11) and the incremental explanatory powerof balance-sheet information for annual samples.

    Year R2 of Model (11) R2 of Model (10a) Difference in R2

    (1) (2) (2)2(1) Vuongs test

    Mean .115 .139 .024 7.31a

    1968 .126 .167 .041 4.21***1969 .055 .135 .080 7.60***1970 .104 .162 .057 6.79***1971 .140 .149 .009 2.46**1972 .055 .098 .044 5.28***1973 .174 .224 .050 7.33***1974 .182 .211 .029 5.27***1975 .173 .182 .009 3.05***1976 .172 .181 .009 1.63*1977 .215 .238 .023 3.67***1978 .123 .161 .038 6.03***1979 .127 .139 .012 2.49**1980 .126 .156 .030 6.10***1981 .143 .160 .017 4.81***1982 .091 .118 .027 5.38***1983 .136 .144 .007 1.86*1984 .174 .181 .006 2.94***1985 .123 .150 .027 6.05***1986 .147 .166 .019 4.99***1987 .107 .122 .015 3.79***1988 .157 .171 .014 4.01***1989 .131 .152 .021 4.88***1990 .095 .117 .023 4.62***1991 .090 .124 .034 5.05***1992 .130 .149 .019 4.26***1993 .096 .113 .016 4.21***1994 .073 .088 .015 4.64***1995 .049 .080 .031 6.82***1996 .094 .109 .015 4.99***1997 .095 .112 .017 4.88***1998 .042 .063 .021 5.61***

    1999 .040 .073 .033 6.72***2000 .059 .091 .032 6.29***2001 .151 .194 .043 5.85***2002 .102 .113 .011 3.35***2003 .063 .095 .032 4.10***2004 .132 .140 .008 2.95***2005 .085 .100 .015 3.11***2006 .104 .121 .018 4.27***2007 .116 .126 .010 2.08**

    Note: Annual regression results and the IEP of Balance-Sheet Information.

    Panel B reports the annual regression R2

    s of Model (10a) above those of Model (11), Rit5a1bxit1gDxit1eit; andthe incremental explanatory powers of balance-sheet information.aindicates the t statistics for comparing the difference in mean R2 between Model (10a) and (11) being significant at

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    average R2 of Model (10a) is significantly higher than that of Model (11) at the .01 level.

    Figure 1 plots the IEP of the balance-sheet variables in Model (10a) against the explanatory

    power of the earnings variables in Model (11) across the years.

    Rit5a1bxit1gDxit1hDqit1hHHDqit1uDbit1dDbit11eit; 10a

    Rit5a1bxit1gDxit1eit: 11

    To summarize, our empirical results show that the balance sheetrelated variables (Dqit,

    Dbi,t, andDbit21) generally have significant effects, and they enhance the power to explain

    stock returns after controlling for earnings and the earnings change. The directions of these

    effects are generally consistent with the theoretical predictions, and their magnitudes are

    economically important. Overall, in both statistical and economic terms, the balance-sheet

    information improves the explanatory power of the return model relative to that of the earn-

    ings onlybased benchmark model.

    Complementarity Between Balance-Sheet and

    Income-Statement Information

    In this section, we explore how the incremental usefulness of balance sheetrelated vari-

    ables varies over time and in cross sections With the balance sheet and the income state

    0.000

    0.050

    0.100

    0.150

    0.200

    0.250

    1968

    IEP; R-squaresR-squares of earnings-only model

    IEP of balance-sheet related variables

    year

    2007200420011998199519921989198619831980197719741971

    Figure 1. IEP of balance-sheet information. This figure plots the IEP of balance-sheet information,computed as the R2 of Model (10a) minus that of Model (11), relative to the R2 of Model (11).Note: IEP = incremental explanatory power.

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    therefore explore whether balance sheetbased information is incrementally more useful in

    situations in which earnings variables are less informative about returns.

    Time-Series Analysis

    We first take a time-series perspective to examine how the usefulness of balance-sheet infor-

    mation in explaining returns is related to that of earnings information. Over time, the expla-

    natory power of earnings variables, denoted as R2(earnings), fluctuates, as does the IEP of

    information constructed with balance sheet, denoted as IEP(BS). We find a significantly neg-

    ative correlation between R2(earnings) and IEP(BS), with a Pearson correlation of2.29 (t =

    1.90), which suggests that balance-sheet information complements earnings variables to a

    greater extent in years in which the latter are less powerful in explaining returns.

    Previous evidence suggests that there may be a time trend in the power of financial

    statement information to explain returns (see, for example, Collins et al., 1997). To control

    for a possible time trend, we also run a regression of IEP(BS) on R2(earnings) and a time

    index (Time = 0,. . . ,39) as follows:17

    IEP(BS)t5a01a1R2(earnings)t1a2 Timet1ut: 12

    As reported in Table 5, IEP(BS) is negatively related to R2(earnings), both with and

    without a time trend. The coefficient on R2(earnings) is 20.11 (t = 1.90) without a time

    index and is 20.19 (t = 3.76) with a time index. This provides evidence that balance-sheet

    information supplements earnings variables more in years in which the latter are less infor-

    mative about stock returns.

    We also note that the coefficient on the time index is significantly negative, indicating a

    declining trend in the IEP of balance-sheet information in explaining cross-sectional

    returns.

    18

    Cross-Sectional Analysis

    Table 5. Relationship Between the IEP of Balance-Sheet Information and the Explanatory Power ofEarnings Over Time

    Intercept R2 (earnings)t Timet Adjusted R2

    0.04a

    2.11c

    .063(5.31) (21.90)0.06a 2.19a 20.08a .344(7.39) (23.76) (24.16)

    Note: IEP = incremental explanatory power.

    This table provides the result of time-series regressions of the IEP of balance-sheet information on the explanatory

    power of earnings. The specification is as follows:

    IEP(BS)t5a01a1R2(earnings)t1a2Timet1ut

    where IEP(BS)t is the IEP of balance-sheet information, calculated as the R2 of Model (10a) in year t minus that of

    Model (11) in year t, R2(earnings)t is the R2 of Model (11), and Timet is time index computed as year minus 1968.

    For ease of exposition, we multiply the coefficient on Timet by 100.a and c indicate the coefficient being significantly different from 0 at the .01, .05, and .1 levels, respectively.

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    considered to be less informative or with future earnings that are more difficult to forecast.

    They are firms with negative (vs. positive) earnings, young (vs. mature) firms, and firms

    with a high (vs. low) degree of uncertainty about future earnings. We examine whether

    balance-sheet information is incrementally more useful in these subsamples.

    Loss versus profit firms. Rational economic behavior implies that a firms losses will notbe sustained (a loss-making firm will either have to improve its performance or face termi-

    nation). This suggests that negative earnings are less informative about future cash flows

    than are positive earnings (Hayn, 1995). Collins, Pincus, and Xie (1999) find that equity

    book value becomes more important in explaining the stock prices of firms with negative

    (vs. positive) earnings. In our context, we posit that balance sheetbased information plays

    a greater role in explaining stock returns for loss firms than for profit firms.

    Panel A of Table 6 compares the IEP of balance-sheet information between firms with

    negative and positive earnings.19 The average R2 across the years of Model (11), in which

    only earnings variables are used, is 4.6% for loss firms and 13.9% for profit firms. After

    adding the balance sheetrelated variables, we obtain an average IEP of 4.3% for loss

    firms. In contrast, the IEP of balance-sheet information is 2.1% for profit firms.20 The dif-

    ference in IEP between the two groups is 2.2% (t = 3.46), significant at the .01 level. Thus,

    balance-sheet information is incrementally more useful in explaining returns for firms with

    negative earnings than for firms with positive earnings.

    We note that for loss firms, the coefficient on xit is significantly negative and lower than

    1, whether or not we include the balance sheetrelated variables. This might be an indica-

    tion of investors belief that losses will be mean reverting. However, for profit firms, the

    coefficient on xit is significantly positive, with a magnitude significantly greater than 1,

    indicating that for firms making a profit investors actually place a weight on earnings that

    is greater than the theoretical value on overall sample as predicted by Ohlson (1995) and

    Zhang (2000).

    For loss firms, adding Dqit in regressions removes the effect ofDxit, although the coeffi-

    cient on Dqit is significantly positive, suggesting that the effect ofDxit is subsumed by that

    of Dqit in this subsample. However, for profit firms, although adding Dqit substantially

    reduces the effect ofDxit, the latter remains significantly positive together with the coeffi-

    cient on Dqit. Contemporaneous capital investment has a positive coefficient in both firm

    groups. The lagged capital investment is significantly negative, as predicted by Ohlson

    (1995), for loss firms, but is insignificant for profit firms.

    Young versus mature firms. For the purpose of our analysis, young firms refer to firmswith a relatively short history of public trading, which are usually at early stages of the life

    cycle. We conjecture that earnings variables are less valuation relevant for young firms and

    so the balance sheet should play a greater incremental role to supplement earnings

    information.

    We define a firm in a given year as a young firm if it has a listing history of 8 years

    or less and as a mature firm otherwise, and we then divide the annual samples each into

    subsets of young and mature firms.21 The results in Panel B of Table 6 show that

    balance-sheet information explains more of the variations in stock returns for younger

    firms. Across the years, the average IEP of balance-sheet information for young firms is

    5.2%, compared with the IEP of 2.3% for mature firms. The difference in IEP between thetwo groups is 3% (t = 2.21), significant at the .05 level.

    F t fi ddi D i i d th ff t f D ( ffi i t

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    6.

    IEP

    ofBalance-SheetInformationin

    CrossSections

    n

    Intercept

    xit

    Dxit

    Dq

    it

    Db

    it

    Db

    it21

    H

    3

    Dqit

    AverageR2

    IEP

    DifferenceinIEP

    :IEPofbalance-sheetinformationforlossandprofitfirms

    rm

    20.02

    2.23a

    1.41a

    .139

    (20.56)

    (10.84)

    (13.46)

    20.01

    2.04a

    0.70a

    0.47a

    0.24a

    0.05

    0.07

    .160

    0.021a

    (20.42)

    (8.9

    5)

    (7.0

    2)

    (7.9

    8)

    (3.2

    0)

    (1.0

    0)

    (1.03)

    (7.7

    0)

    m

    0.00

    20.83a

    0.54a

    .046

    (20.06)(2

    3.27)

    (6.5

    3)

    0.02

    20.63b

    0.04

    0.34a

    0.12

    20.20a

    0.18

    .089

    0.043a

    0.022a

    (0.4

    8)(2

    2.24)

    (0.5

    3)

    (7.2

    2)

    (1.6

    0)

    (23.40)

    (0.36)

    (6.5

    9)

    (3.4

    6)

    IEPof

    balance-sheetinformationforyoungandmaturefirms

    firm

    0.07b

    1.33a

    0.84a

    .118

    (2.1

    4)

    (11.76)

    (9.2

    7)

    0.06b

    1.37a

    0.33a

    0.18a

    0.10c

    20.12b

    0.48a

    .142

    0.023a

    (2.0

    3)

    (8.7

    4)

    (3.0

    8)

    (3.1

    0)

    (1.6

    8)

    (22.43)

    (8.42)

    (4.6

    7)

    rm

    0.13b

    0.48

    2.02a

    .149

    (2.3

    4)

    (0.5

    8)

    (2.7

    1)

    0.13b

    0.34

    0.99c

    0.44a

    0.47b

    20.16

    0.42a

    .201

    0.052a

    0.030b

    (2.5

    4)

    (0.4

    1)

    (1.9

    0)

    (2.8

    5)

    (2.0

    0)

    (20.92)

    (5.12)

    (3.3

    5)

    (2.2

    1)

    :IEPofbalance-sheetinformationforlow,medium,andhighforecaste

    rrorfirms

    ecaste

    rrorfirm

    0.10a

    0.98b

    0.75b

    .056

    (3.2

    7)

    (2.5

    9)

    (2.4

    8)

    0.09a

    0.88b

    0.52b

    0.04

    0.26a

    20.01

    20.01

    .081

    0.025a

    (2.9

    4)

    (2.4

    3)

    (2.5

    6)

    (0.5

    3)

    (3.9

    1)

    (20.12)

    (20.13)

    (6.1

    9)

    foreca

    sterrorfirm

    0.10a

    1.32a

    0.84a

    .074

    (2.9

    0)

    (5.2

    4)

    (4.7

    4)

    0.09a

    1.25a

    0.32a

    0.03

    0.32a

    20.06

    0.43a

    .107

    0.033a

    (2.9

    3)

    (4.3

    3)

    (2.6

    2)

    (0.2

    9)

    (3.5

    3)

    (21.14)

    (4.76)

    (5.0

    2)

    recasterrorfirm

    0.08a

    1.14a

    0.81a

    .098

    (3.0

    5)

    (10.37)

    (6.1

    6)

    0.08a

    1.10a

    20.01

    0.34a

    0.23b

    20.23a

    0.34a

    .138

    0.040a

    0.015b

    (3.4

    3)

    (6.1

    9)

    (20.10)

    (8.3

    3)

    (2.0

    6)

    (23.73)

    (4.75)

    (6.6

    7)

    (2.3

    5)

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    statistics of 1.90). There is strong evidence of convexity in the effect of Dqit for both the

    young and mature firms (coefficients on HDqit are highly significant at the .01 level in

    both subsets), consistent with the theoretical predictions.

    Capital investment has a positive coefficient for both young and mature firms, as pre-

    dicted. The lagged capital investment is significantly negative for mature firms and is insig-nificant for young firms.

    Firms with uncertain future earnings. We further conjecture that investors rely more on the

    balance sheet when they face greater uncertainty about future earnings.22 We use two

    proxies for investor uncertainty about future earnings: (a) the accuracy of consensus analyst

    forecasts, which is defined as the absolute value of actual earnings per share minus the

    mean forecast scaled by the absolute value of actual earnings per share and (b) the disper-

    sion of analyst forecasts, which is defined as the standard deviation of annual earnings fore-

    casts scaled by the absolute value of actual earnings per share.23 The need for analyst

    earnings forecast data in this subsection shortens the sample period to 1983 to 2007, which

    reduces the sample to 34,916 observations.

    We partition the annual samples into terciles and run regressions for each subsample.

    Panel C of Table 6 reports the results for the partitions by forecast error. The IEP of

    balance-sheet information is greater for firms with larger (absolute) earnings forecast errors

    (i.e., less accurate forecasts). The IEP of balance-sheet information for the largest forecast

    error group is 4%, whereas the IEP of that for the smallest forecast error group is 2.5%.

    The difference in IEP between the high and low forecast error groups is 1.5% (t = 2.35),

    significant at the 0.05 level.

    We also note that when earnings forecasts are the least (most) accurate, the response of

    investors to Dxit

    is weakest (strongest), controlling for balance-sheet information. In Model

    (10a), the coefficients on Dxit is insignificant for firms with high forecast errors (coefficient

    = 20.01 and t = 0.1) but is significant for firms with low forecast errors. However, the

    coefficients on Dqit and HDqit are significant in the high forecast error group but not so for

    the low forecast error group. These results are consistent with the view that investors rely

    more on balance-sheet information when earnings information is less reliable.

    Panel D of Table 6 provides the results for the partitions by forecast dispersion. The

    IEP of balance-sheet information for the highest dispersion group is 4.3%. In contrast, the

    IEP of balance-sheet information for the lowest dispersion group is 2.3%. The difference

    in IEP between these two subsamples is 2% (t = 2.96), significant at the .01 level. This

    shows that balance-sheet information is incrementally more useful for firms with high (vs.low) forecast dispersions.

    Similar to the above results, we find here also that the balance sheetrelated variables

    largely replace the effect of the earnings change in explaining stock returns. Once controlling

    for the balance sheetrelated variables, the coefficient on Dxit decreases but is still significant

    in the low-dispersion group, and it becomes insignificant in the highest dispersion group. For

    firms with the largest forecast dispersion, it is the profitability that is decision-useful.

    To sum up, for the subsamples of firms considered above, the balance sheetrelated

    variables generally have significant effects on returns, although the results on the effect of

    Dbit21 are weaker or insignificant in some cases. Collectively, they significantly improve

    the explanatory power of return models compared with earnings onlybased benchmarkmodels. More importantly, we find that balance-sheet information plays a greater incremen-

    t l l i l i i t f fi ith i th t l i f ti ith f t

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    Summary and Concluding Remarks

    This study examines the usefulness of balance-sheet information in explaining stock returns

    beyond that of earnings information. Based on existing models of equity value, we show

    that returns are related to three balance sheetbased factors in addition to earnings and theearnings change: the profitability change, contemporaneous capital investment, and the pre-

    vious periods capital investment. The empirical results show that each of the three balance

    sheetrelated variables generally has a statistically and economically significant effect on

    returns (although lagged capital investment is not significant in some of the subsamples)

    incremental to that of earnings variables and that the directions of the effects are consistent

    with the theoretical predictions. Our expanded return model, which combines balance-sheet

    and earnings variables, achieves an average explanatory power of 13.9% in annual samples,

    compared with that of 11.5% for an earnings-onlybased benchmark model.

    We further show that balance-sheet information complements the information in earnings

    variables. Over time, the IEP of balance-sheet information is negatively correlated with theexplanatory power of earnings variables, suggesting that such information generally plays a

    greater role in years in which earnings are less useful in explaining returns. In cross sections,

    we similarly find that balance-sheet information is incrementally more useful for firms with

    earnings that are less informative (e.g., firms with negative earnings and firms with a short

    history) or with future earnings that are more uncertain (e.g, firms with high, vs. low, abso-

    lute analyst forecast errors and firms with high, vs. low, analyst forecast dispersions).

    Our study has implications for the question of whether to adopt a more balance sheet

    based or a more income-statementbased model of financial reporting. Our results indicate

    that each of the financial statements plays a distinctive informational role in determining

    stock returns. More importantly, our study shows that the usefulness of the balance sheet

    versus that of the income statement differs across firms, depending on a firms maturity, its

    operational performance (negative vs. positive earnings), and economic environment (earn-

    ings predictability). It is thus beneficial to develop reporting standards that recognize the

    varying role of each financial statement under different economic conditions.

    Declaration of Conflicting Interests

    The author(s) declared no potential conflicts of interest with respect to the research, authorship, and/

    or publication of this article.

    Funding

    The author(s) disclosed receipt of the following financial support for the research, authorship, and/or

    publication of this article:The authors gratefully acknowledge the financial support by the Hong Kong

    Polytechnic University (Project No.: 4-ZZ6L).

    Notes

    1. The Financial Accounting Standard Board (FASB), in its Preliminary Views of the conceptualframework (Financial Accounting Series 1260-001), states that to help present and potential

    investors and creditors and others in assessing an entitys ability to generate net cash inflows,financial reporting should provide information about the economic resources of the entity (its

    assets) and the claims to those resources (its liabilities and equity) Information about the effects

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    2. A long-standing debate in the standard setting field is whether to adopt a more balance sheetbased or a more income statementbased approach to financial reporting. In recent decades, the

    position of standard setting bodies such as the FASB of the United States and the International

    Accounting Standard Board has shifted toward a balance sheetbased model; see, for example,

    the Preliminary Views of the conceptual framework for financial reporting (FASB, 2006).However, some academics have expressed concerns about this, arguing instead for an income

    statementbased approach (Dichev, 2008).

    3. The distinction between profit and profitability has also been made in studies using residualincome or EVA as a performance measure (e.g., Biddle, Bowen, & Wallace, 1997; Stewart,

    1994) and in studies that separate earnings growth driven by profitability from that by capital

    investment in refining the return-earnings relation (e.g., Balachandran & Mohanram, in press;

    Harris & Nissim, 2006).

    4. There is growing evidence of nonlinearity in equity valuation; see, for example, Burgstahler andDichev (1997), Hao, Jin, and Zhang (2011), and Yee (2000).

    5. A recent study by Chen and Zhang (2007) has developed a return model incorporating data fromboth the balance sheet and the income statement together with information from other sources

    (such as growth opportunities and discount rates). Chen and Zhang (2007) do not focus on the

    role of balance sheet per se; specifically, they do not address how much of a difference balance

    sheetrelated variables make in explaining returns and for what types of firms these variables are

    most useful.

    6. Note that the linear model mentioned here, as used in Barth, Beaver, and Landsman (1998);Collins, Pincus, and Xie (1999); and Collins, Maydew, and Weiss (1997), is not equivalent to

    Ohlsons (1995) model that is used to motivate some of the explanatory factors in our study.

    7. Obviously, there is also information from sources other than financial statements that is impor-tant for investors, such as information from voluntary disclosures (e.g., Francis, Schipper, &

    Vincent, 2002). These sources are beyond the scope of this study, and we omit the unspecifiedother information in Ohlsons model.

    8. In our analysis, we use the reduced-form relations between value and accounting data as devel-oped in Ohlson (1995) and Zhang (2000). These relations rely on certain assumptions about the

    dynamic behavior of cash flow (or residual income). Dechow, Hutton, and Sloan (1999) have

    empirically examined Ohlsons linear information dynamics, and Biddle et al. (2001) have exam-

    ined nonlinearities in the residual income dynamic as implied in Zhang (2000).

    9. Numerous studies have empirically tested or applied the Ohlsons model (see, for example,Collins et al., 1997; 1999; Dechow et al., 1999).

    10. Ohlson (1995) shows that (net) dividends (or, equivalently, capital investment) affect equity

    market value dollar for dollar; as a result, investors are neither made better off nor worse off bycurrent capital investment (divestment). Also see Biddle et al. (2001) for a related discussion.

    11. In contrast to the linear information dynamic in Ohlson (1995), contingent investment decisionsin Zhang (2000) lead to a convex relation between current and period-ahead residual income.

    12. The derivation here is a simplified version of that given in Chen and Zhang (2007). Here, weignore information from outside financial statements.

    13. Strictly speaking, the profitability of capital investment relates to a firms marginal (as opposedto average) market-to-book ratio. However, in the simplified context of Zhang (2000), the two

    are assumed to be equal.

    14. Following Brown et al. (1999), we use unadjusted R2s to compute the IEPs.

    15. Although the I/B/E/S summary file covers a longer time period, it suffers from the problem ofstale earnings forecasts, which has the effect of reducing the standard deviations of earnings fore-

    casts (Zhang, 2006), a variable that is of interest in cross-sectional analyses. For this reason, we

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    similar results for the two versions of the dependent variable. For brevity, we present only the

    results using raw returns as the dependent variable in the sections below; the results based on

    market-adjusted returns are available on request.

    17. For ease of exposition, we multiply the coefficient on Timet by 100.

    18. A decline in the IEP of balance sheetrelated information over time may be due to a changinginformation environment brought about by increased company disclosures (which act as compet-

    ing information for financial statement information) or increased private information production

    by analysts (Francis et al., 2002).

    19. In this section, profitability dummy H is set to 1 if a firms return of equity is above the annualmedian within a subsample and 0 otherwise.

    20. As indicated in Table 6, the IEP of our balance-sheet variables is statistically significant at the0.01 level in all the subsamples examined in this section.

    21. We also use 5 years and 10 years as the cutoff points and find similar results.

    22. Chen et al. (2002) provide evidence that firms are more likely to disclose balance-sheet informa-

    tion to compensate for inefficiencies in analyst earnings forecasts.23. The mean forecast (forecast dispersion) is computed as the average (standard deviation) of theindividual earnings forecasts issued over a period of 8 months preceding the fiscal year end. If

    an analyst issues multiple forecasts during the period, then only the latest is retained.

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