The Usefulness of Book-to-Market and ROE Expectations for Explaining UK Stock Returns

Abstract:  The fundamental valuation perspective on stock returns suggests that book-to-market will be positively related to returns if market value of equity equals future expected cash flows discounted at the expected return and book value proxies for future cash flows. Building on this perspective, we develop a log linear model which includes expectations of future BM and ROE in addition to current BM as explanatory variables for future stock returns. We show that these three variables explain a significant part of UK cross-sectional stock returns and that they remain highly statistically significant after including additional risk proxy variables. This supports relevance of fundamental valuation based firm characteristics for explaining stock returns and indicates their potential usefulness for predicting future stock returns.     

Reexamining the Robustness of the Market Value of Equity

We apply the methodology of Knez and Ready (KR) (1997) to data from the Japanese stock market and reexamine the robustness of the risk premium for the market value of equity (MVE). In particular, we compare two alternative explanations for the relation between stock returns and MVE: the one pointed out by Fama and French (FF) (1992) and the other proposed by Berk (1995). Consistent with results for the U.S. market, when we check FF's explanation for MVE, we find that the risk premium for MVE is not robust against extreme observations. Besides the evidence supporting KR's findings, we study the role of MVE proposed by Berk (1995), who points out that under controlled expected cash flows, MVE will be negatively correlated with expected returns. After showing that MVE negatively correlates with risk in the presence of expected cash flows, we test the robustness of the relation between returns and MVE. We find that the estimated risk premium for MVE is robust when realized cash flows (earnings plus depreciation) or book value of equity (BE) is used as a proxy for expected cash flows.     

Understanding Stock Price Volatility: The Role of Earnings

In an efficient capital market, asset prices vary when investors change their expectations about cash flows, discount rates, or both. Using dividends to measure cash flows, previous research shows that the aggregate dividend‐price ratio varies due to changes in expected discount rates (returns) rather than expected cash flows. In contrast, using accounting earnings instead of dividends as a measure of cash flows, this paper shows that as much as 70% of the variation in the dividend‐price ratio can be explained by changes in expected earnings. Moreover, the paper documents a significant negative correlation between expected returns and expected earnings, suggesting that variations in a common factor to both may generate significant price volatility. The results are consistent with the dividend‐policy irrelevance hypothesis.     

Idiosyncratic Cash Flows and Systematic Risk

We show that unpriced cash flow shocks contain information about future priced risk. A positive idiosyncratic shock decreases the sensitivity of firm value to priced risk factors and simultaneously increases firm size and idiosyncratic risk. A simple model can therefore explain book‐to‐market and size anomalies, as well as the negative relation between idiosyncratic volatility and stock returns. Empirically, we find that anomalies are more pronounced for firms with high idiosyncratic cash flow volatility. More generally, our results imply that any economic variable correlated with the history of idiosyncratic shocks can help to explain expected stock returns.     

Aggregate Earnings and Corporate Bond Markets

I examine the previously unexplored relation between aggregate earnings changes and corporate bond market returns. I find that aggregate earnings changes have a negative relation to investment‐grade corporate bond market returns and a positive relation to high‐yield corporate bond market returns. The aggregate earnings‐returns relation is lower (i.e., less positive or more negative) for bonds with higher credit ratings and longer maturities. Further, I show that the aggregate earnings‐returns relation is driven by both the expected and the news component of aggregate earnings changes. The expected component is negatively related to expected returns, and the news component is positively related to cash flow news and changes in nominal interest rates, and negatively related to changes in default premia. My results contribute to the understanding of the role of earnings in corporate bond markets as well as the macroeconomic role of accounting information.     

Forecasting Japanese Stock Returns with Financial Ratios and Other Variables

This paper extends the previous analyses of the forecastability of Japanese stock market returns in two directions. First, we carefully construct smoothed market price–earnings ratios and examine their predictive ability. We find that the empirical performance of the price–earnings ratio in forecasting stock returns in Japan is generally weaker than both the price–earnings ratio in comparable US studies and the price dividend ratio. Second, we also examine the performance of several other forecasting variables, including lagged stock returns and interest rates. We find that both variables are useful in predicting aggregate stock returns when using Japanese data. However, while we find that the interest rate variable is useful in early subsamples in this regard, it loses its predictive ability in more recent subsamples. This is because of the extremely limited variability in interest rates associated with operation of the Bank of Japan’s zero interest policy since the late 1990s. In contrast, the importance of lagged returns increases in subsamples starting from the 2000s. Overall, a combination of logged price dividend ratios, lagged stock returns, and interest rates yield the most stable performance when forecasting Japanese stock market returns.     

UNDERSTANDING SIZE AND THE BOOK‐TO‐MARKET RATIO: AN EMPIRICAL EXPLORATION OF BERK'S CRITIQUE

Because they are scaled by price, the ability of size (i.e., the market capitalization of a firm) and the book‐to‐market equity ratio to determine expected returns may, according to Berk (1995) , reflect only a simultaneity bias. The two‐stage least squares approach is used to control for this bias and to investigate the economic meanings of these variables. We discover that size and the book‐to‐market ratio contain distinct and significant components of financial distress, growth options, the momentum effect, liquidity, and firm characteristics. Our findings support Berk in his contention that that size and the book‐to‐market ratio reflect a combination of different economic mechanisms that are misspecified in the expected return process.     

What Drives Anomaly Returns?

We decompose the returns of five well-known anomalies into cash flow and discount rate news. Common patterns emerge across the five factor portfolios and their mean-variance efficient (MVE) combination. Whereas discount rate news predominates in market returns, systematic cash flow news drives the returns of anomaly portfolios and their MVE combination with the market portfolio. Anomaly cash flow and discount rate shocks are largely uncorrelated with market cash flow and discount rate shocks and with business cycle fluctuations. These rich empirical patterns restrict the joint dynamics of firm cash flows and the pricing kernel, thereby informing models of stocks' expected returns.     

Earnings, Cash Flows and Security Returns Over Long Return Intervals: Analysis and UK Evidence

The aim of this paper is to provide a fuller understanding of the process linking security returns and accounting data by focusing on the effect of long return intervals on the association between security returns and earnings and cash flow variables. First, we develop a theoretical basis for empirical analysis of the relationship between security returns and cash flow data over long return intervals. Second, we carry out empirical analysis of both the information content of cash flow variables and the incremental information content of accounting earnings and cash flows using UK data over the period 1985–92 for annual, two year and four year return intervals. Our results provide strong evidence of the valuation relevance of cash flow information for the dataset examined.     

An Analysis of Contrarian Investment Strategies in the UK

The performance of contrarian, or value strategies – those that invest in stocks that have low market value relative to a measure of their fundamentals – continues to attract attention from researchers and practitioners alike. While there is much extant evidence on the profitability of value strategies, however, most of this evidence pertains to the US. In this paper, we provide a detailed characterisation of value strategies using data on UK stocks for the period 1975 to 1998. We first undertake simple one-way and two-way classifications of stocks in which value is defined using both past performance and expected future performance. Using sales growth as a proxy for past performance and book-to-market, earnings yield and cash flow yield as measures of expected future performance, we find that that stocks that have both poor past performance and low expected future performance have significantly higher returns than those that have either good past performance or good expected future performance. Allowing for size effects in returns reduces the value premium but it nevertheless remains significant. We go on to explore whether the profitability of value strategies in the UK can be explained using the three factor model of Fama and French (1996). Broadly consistent with the results for the US, we find that using the one-way classification the excess returns to almost all value strategies can be explained by their loading on the market, book-to-market and size factors. However, in contrast with the US, using the two-way classification there are excess returns to value strategies based on book-to-market and sales growth, even after controlling for their loading on the market, book-to-market and size factors.     

Explaining the accrual anomaly by market expectations of future returns and earnings

This study examines the accrual anomaly under the framework of the Campbell [Campbell, J.Y. (1991). A variance decomposition for stock returns. Economic Journal 101 (405), 157-179.] model. The Campbell (1991) model shows that realized asset returns are a joint function of 1) expected returns, 2) revisions in market expected future returns (i.e., return news), and 3) revisions in market expected future cash flows (i.e., cash flow news). The current study adopts the Easton [Easton, P. (2004). PE ratios, PEG ratios, and estimating the implied expected rate of return on equity capital. The Accounting Review 79 (1), 73-96.] model to estimate proxies for expected returns, return news, and cash flow news. The results show that firms with low accruals have lower expected returns than firms with high accruals, which is contradictory to prior research that argues that firms with low accruals are more risky. However, investors underestimate (overestimate) future earnings growth, a proxy for cash flow growth, for low (high) accrual firms. Further analysis demonstrates that earnings news (proxy for cash flow news) plays a major role in explaining abnormal returns associated with the accrual anomaly.     

Industry Concentration and Average Stock Returns

Firms in more concentrated industries earn lower returns, even after controlling for size, book‐to‐market, momentum, and other return determinants. Explanations based on chance, measurement error, capital structure, and persistent in‐sample cash flow shocks do not explain this finding. Drawing on work in industrial organization, we posit that either barriers to entry in highly concentrated industries insulate firms from undiversifiable distress risk, or firms in highly concentrated industries are less risky because they engage in less innovation, and thereby command lower expected returns. Additional time‐series tests support these risk‐based interpretations.     

Value versus growth: Australian evidence

The value‐growth effect is one of the most pervasive patterns in stock prices. In this study, the ability of four proxies for value‐growth, book‐to‐market, sales‐to‐price, earnings‐to‐price and cash‐flow‐to‐price to explain equity returns is analysed. The findings show that in aggregate, book‐to‐market best explains cross‐sectional variation in Australian equity returns, which in isolation suggests that it is the superior proxy for value‐growth. The analysis is taken further and the value‐growth effect is examined separately in positive and negative earnings firms. After segregating firms, it is found that in the negative earnings sample, book‐to‐market is the best value‐growth proxy and in the positive earnings sample, cash‐flow‐to‐price has the highest level of significance and is thus the superior value‐growth proxy. The economic significance of this result is telling, as the firms that report positive earnings are much larger than those that report negative earnings.     

The Sophisticated and the Simple: the Profitability of Contrarian Strategies

A variety of variables have been used to form contrarian portfolios, ranging from relatively simple measures, like book‐to‐market, cash flow‐to‐price, earnings‐to‐price and past returns, to more sophisticated measures based on the Ohlson model and residual income model (RIM). This paper investigates whether: (i) contrarian strategies based on RIM perform better or worse than those based on the Ohlson model; (ii) contrarian strategies based on more sophisticated valuation models (e.g. Ohlson and RIM) perform much better than the relatively simpler ranking variables that have been used so extensively in the finance literature. Given that the RIM and Ohlson models require greater information inputs and technical know‐how, and make different implicit assumptions on future abnormal earnings, it is important to ascertain if they offer significantly greater contrarian profits to outweigh the increased costs that they entail. Indeed, our surprising finding is that simple cash flow‐to‐price measures appear to do almost as well as the more sophisticated alternatives. One would have expected the sophisticated models to significantly outperform the simple cash flow to price model for the reasons given by Penman (2007) .     

Consumption, Aggregate Wealth, and Expected Stock Returns

This paper studies the role of fluctuations in the aggregate consumption–wealth ratio for predicting stock returns. Using U.S. quarterly stock market data, we find that these fluctuations in the consumption–wealth ratio are strong predictors of both real stock returns and excess returns over a Treasury bill rate. We also find that this variable is a better forecaster of future returns at short and intermediate horizons than is the dividend yield, the dividend payout ratio, and several other popular forecasting variables. Why should the consumption–wealth ratio forecast asset returns? We show that a wide class of optimal models of consumer behavior imply that the log consumption–aggregate wealth (human capital plus asset holdings) ratio summarizes expected returns on aggregate wealth, or the market portfolio. Although this ratio is not observable, we provide assumptions under which its important predictive components for future asset returns may be expressed in terms of observable variables, namely in terms of consumption, asset holdings and labor income. The framework implies that these variables are cointegrated, and that deviations from this shared trend summarize agents' expectations of future returns on the market portfolio.     

The present value model with time-varying discount rates: Implications for commercial property valuation and investment decisions

A vector autoregressive model is developed for predicting cash flow and returns in the private (unsecuritized) commercial property markets. The model predicts both of these variables quite well during the sample period. The forecasting model is then used to develop a simple buy/sell rule for identifying property market value peaks and troughs. An improved present value model, taking account of the predictability of property returns, is described and found to track historical market values much more closely than does either the appraisal-based index or the traditional present value model with constant expected returns. Analysis in this paper suggests that most of the change in commercial property market values has been due to changes in expected returns, rather than to changes in expected future operating cash flows.     

Earnings forecasts and idiosyncratic volatilities

We test the theoretical relation between idiosyncratic return volatilities and the volatilities of cash-flow news based on the expected returns on equity (ROE) for CRSP stocks over the period 1977–2008. Consistent with economic intuition, we find that using analyst forecasts of earnings is superior to using realized earnings to proxy for market expectations about future cash flow news. Our findings are consistent with a market where stock return volatilities are positively and asymmetrically related to changes in the volatilities of expectations for a fundamental driver of cash flow news (ROE). Our findings are robust after correcting for forecast biases, various fundamental variables, newly-listed and mature firms, and periods with and without earnings announcements.     

Stock returns,dividend yield,and book-to-market ratio

A dividend yield model has been widely used in previous research that relates stock market valuations to cash flow fundamentals. Given controversies about using dividends as a proxy for cash flows, a loglinear book-to-market model has recently been proposed. However, these models rely on the assumption that dividend yield and book-to-market ratio are both stationary, and empirical evidence for this is, at best, mixed. We develop a new model, the loglinear cointegration model, that explains future profitability and excess stock returns in terms of a linear combination of log book-to-market ratio and log dividend yield. The loglinear cointegration model performs better than the log dividend yield model and the log book-to-market model in terms of cross-equation restriction tests and forecasting performance comparisons. The superior performance of the loglinear cointegration model suggests that the linear combination may be a better indicator of intrinsic fundamentals than the dividend yield or the book-to-market ratio separately.     

IS THE BOOK‐TO‐MARKET RATIO A MEASURE OF RISK?

We develop a leverage‐based alternative to traditional asset pricing models to investigate whether the book‐to‐market ratio acts as a proxy for risk. We argue that the book‐to‐market ratio should act as a proxy because of the expected relations between (1) financial risk and measures of capital structure based on the market value of equity and (2) asset risk and measures of capital structure based on the book value of equity. We find no relation between average stock returns and the book‐to‐market ratio in all‐equity firms after controlling for firm size, and an inverse relation between average stock returns and the book‐to‐market ratio in firms with a negative book value of equity.     

Stock Returns,Expected Returns,and Real Activity

Measuring the total return variation explained by shocks to expected cash flows, time-varying expected returns, and shocks to expected returns is one way to judge the rationality of stock prices. Variables that proxy for expected returns and expected-return shocks capture 30% of the variance of annual NYSE value-weighted returns. Growth rates of production, used to proxy for shocks to expected cash flows, explain 43% of the return variance. Whether the combined explanatory power of the variables—about 58% of the variance of annual returns—is good or bad news about market efficiency is left for the reader to judge.