Book-to-market and size effects: compensations for risks or outcomes of market inefficiencies?

We employ the optimal orthogonal portfolio approach to investigate if the size and book-to-market effects in US data are related to risk factors beside the market risk. This method enables us to estimate the upper limit of the risk premium, due to observed as well as all possible unobserved factors, which can be derived from a linear asset pricing model. As a corollary, it is possible to divide the observed average asset return into three parts: one explained by the market factor, one due to the unobserved factors, and finally the non-risk-based (NRB) component. Our empirical results confirm the existence of latent risk factors, which cannot be captured by the market index. In particular, the size effect is related to some other background risk factors than the market portfolio, but a large part of observed book-to-market effect has a NRB explanation.     

Empirical tests of the float-adjusted return model

This paper implements empirical tests of the recently proposed float-adjusted return model by using Chinese stock-market data. The results show that variation in free float can explain cross-sectional variation in asset returns by about 6.7% annually, after we control for market risk, size, and book-to-market equity. In addition, we also find that size and book-to-market equity help explain cross-sectional variations in returns even after controlling for free float.     

New Evidence on Risk Factors, Characteristics and the Cross-Sectional Variation of Japanese Stock Returns

This paper examines whether the cross-sectional variations in stock returns are better described by systematic risk factors or by firm characteristics such as book-to-market ratios and market capitalization. It provides new evidence from the Japanese stock market based on the recent sample period from 2002 to 2007, which is not addressed in the existing literature. Also, the new results are derived from the generalized method of moments applied to daily returns. The evidence suggests that both the firm size and book-to-market ratio are significantly related to average return premiums. There is mixed evidence, which tends to lend stronger support to the characteristic model rather than the Fama-French three-factor model as more reflective of the return dynamics in the Japanese stock market.     

The effect of liquidity and arbitrage on the price efficiency of Chinese ETFs

We study the potential factors that determine the large and persistent price deviations in Chinese equity exchange-traded funds (ETFs). Our results suggest that ETF liquidity and arbitrage activity are positively correlated with ETF price efficiency, and the relation is more pronounced with higher institutional ownership. We also evaluate the effect of two exogenous shocks in the Chinese market. Using a policy change that added market makers to ETFs on the Shenzhen Stock Exchange (SZSE) and Shanghai Stock Exchange (SSE), we find that market makers improve price efficiency and that the impact is stronger for ETFs with lower liquidity. We also exploit a change in trading rules on the SZSE and show that the relaxation of arbitrage restrictions improves price efficiency. Altogether, these findings provide evidence that lack of liquidity, due to the unique market structure and regulations of the Chinese market, contributes to price inefficiency of Chinese ETFs.     

Is competition beneficial? The case of exchange traded funds

New ETF creation has surged in recent years, giving investors the option to choose from a wide range of similar ETFs within each group of competitors. We identify groups of ETFs that can be considered direct competitors and examine the impact of competition on their market quality. Results show improved market quality measures when competition increases. A change equivalent to going from a monopoly to a highly competitive market results in a 29% decrease in bid–ask spreads, a 72% decrease in illiquidity, and a 52% increase in turnover. However, we find that competition has a differential impact on ETFs according to their market depth. Market quality improves with competition for large or well-performing ETFs, while it worsens for small or under-performing ETFs. A case study on ETFs banned by the SEC in March 2010 further highlights our results in the artificially controlled competitive environment of the moratorium.     

Does Risk Seeking Drive Stock Prices? A Stochastic Dominance Analysis of Aggregate Investor Preferences and Beliefs

We use various stochastic dominance criteria that account for(local) risk seeking to analyze market portfolio efficiencyrelative to benchmark portfolios formed on market capitalization,book-to-market equity ratio and price momentum. Our resultssuggest that reverse S-shaped utility functions with risk aversionfor losses and risk seeking for gains can explain stock returns.The results are also consistent with a reverse S-shaped patternof subjective probability transformation. The low average yieldon big caps, growth stocks, and past losers may reflect investors’twin desire for downside protection in bear markets and upsidepotential in bull markets.     

In search of distress risk in China's stock market

We examine the significance of size, book-to-market, and momentum factors in capturing financial distress risk in China's stock market. Consistent with the market underreaction hypothesis, we find that the momentum factor proxies for distress risk in China's stock market and that the explanatory power of momentum is subsumed when a distress factor is included in the asset pricing model. Our analysis demonstrates no evidence that size and book-to-market effects are driven by financial distress risk.¹     

Default Risk and Equity Returns: Evidence from the Taiwan Equities Market

Studies of risk and return characteristics of different portfolios have recently gained enormous attention. Differing from past studies, this paper uses a compound option model to build the proxy of default risk and evaluate the relationship between default risk effect and equity returns. The primary goal of this paper is to evaluate the relationship among default risk, size, book-to-market, and equity returns, using data drawn from the Taiwan equities market, and to also examine whether size and book-to-market are proxies for default risk. The results show that the effects of size and book-to-market exist in different default portfolios when default risks are controlled. If size or book-to-market is controlled, there are no default effects. In the regression analysis, when default risk is included in Fama and French’s Three Factor Model, it shows that size, book-to-market and default risk have significant influence on equity returns and default risk is a systematic risk. Default risk is also more powerful in explaining returns when the compound option model is adopted for estimating default risks.     

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.     

中国股市规模效应和账面市值比效应的实证分析

本文以2002—2010年中国A股股票作为研究对象,对中国股市的规模效应和账面市值比效应进行了实证分析。结果表明,在样本期间内中国股市存在规模效应和账面市值比效应,而且规模效应不具有显著性、账面市值比效应具有显著性。本文认为风险溢价和投资者非理性行为的综合作用是规模效应和账面市值比效应产生的主要原因。     

Common risk factors in bank stocks

This paper provides evidence on the risk factors that are priced in bank equities. Alternative empirical models with precedent in the nonfinancial asset pricing literature are tested, including the single-factor CAPM, three-factor Fama–French model, and ICAPM. Our empirical results indicate that an unconditional two-factor ICAPM model that includes the stock market excess return and shocks to the slope of the yield curve is useful in explaining the cross-section of bank stock returns. However, we find no evidence that firm specific factors such as size and book-to-market ratios are priced in bank stock returns. These results have a number of important implications for the estimation of the banks’ cost of capital as well as regulatory initiatives to utilize market discipline to evaluate bank risk under Basel II.     

Cross-sectional analysis of Swedish stock returns with time-varying beta: the Swedish stock market 1983–96

This paper analyses the ability of beta and other factors, like firm size and book-to-market, to explain cross‐sectional variation in average stock returns on the Swedish stock market for the period 1983–96. We use a bivariate GARCH(1,1) process to estimate time-varying betas for asset returns. The estimated variances of these betas, derived from a Taylor series approximation, are used for correcting errors in variables. An extreme bound analysis is utilized for testing the sensitivity of the estimated coefficients to changes in the set of included explanatory variables.
Our results show that the estimated conditional beta is a more accurate measure of the true market beta than the beta estimated by OLS. The coefficient for beta is not significantly different from zero, while the variables book-to-market and leverage have significant coefficients, and the latter coefficients are also robust to model specification. Excluding the down turn 1990–92 from the sample shows that the significance of the risk premium for leverage might be considered as an industry effect during this extreme period. Finally, we find a close dependence between the risk premium for beta and that for size and book-to-market. The omission of each of these variables may cause statistical bias in the estimated coefficient for beta.     

Market skewness risk and the cross section of stock returns

The cross section of stock returns has substantial exposure to risk captured by higher moments of market returns. We estimate these moments from daily Standard & Poor's 500 index option data. The resulting time series of factors are genuinely conditional and forward-looking. Stocks with high exposure to innovations in implied market skewness exhibit low returns on average. The results are robust to various permutations of the empirical setup. The market skewness risk premium is statistically and economically significant and cannot be explained by other common risk factors such as the market excess return or the size, book-to-market, momentum, and market volatility factors, or by firm characteristics.     

Intraday Price Formation in U.S. Equity Index Markets

The market for U.S. equity indexes presently comprises floor‐traded index futures contracts, exchange‐traded funds (ETFs), electronically traded, small‐denomination futures contracts (E‐minis), and sector ETFs that decompose the S&P 500 index into component industry portfolios. This paper empirically investigates price discovery in this environment. For the S&P 500 and Nasdaq‐100 indexes, most of the price discovery occurs in the E‐mini market. For the S&P 400 MidCap index, price discovery is shared between the regular futures contract and the ETF. The S&P 500 ETF contributes markedly to price discovery in the sector ETFs, but there are only minor effects in the reverse direction.     

Do ETFs provide effective international diversification?

Global investments have been a hot issue for years. Investors can diversify risks and obtain benefits from foreign markets by investing directly in the foreign security market or indirectly in Exchange-Trade Funds (ETFs). Because direct investments are not always feasible, we investigate whether indirect investments can replace direct investments. We create different regional optimal portfolios containing ETFs and ensure optimal asset portfolio allocation. In addition to mean-variance approach, the Sharpe index, we also adopt the Campbell et al. (2001) method to have the efficient frontier under control risks, the Value at Risk. We apply both normal and non-normal distributions for comparisons and find that different assumptions of return distributions affect the results of efficient frontier. The results show that international diversification is a reasonable strategy. In addition, when comparing ETFs and target market index portfolios, ETFs have higher Sharpe measures than target market indices especially in the emerging markets. However, there are no significant performance differences between direct and indirect methods even if we use different performance measures. We also find that the diversification benefits are the same before and after the Subprime crisis. We conclude that it is effective for investors to use indirect methods to create internationally diversified portfolios.     

Relations Between Stock Returns and Fundamental Variables: Evidence from a Segmented Market

This study examines relations between stock returns and potential explanatory factors in Korea, an important and segmented emerging market. Our results show that Korean stock returns in general and returns on stocks listed in Section 1 in particular are significantly positively related to book-to-market, sales-price, and debt-equity ratios, but not significantly related to market value of equity. Returns on stocks listed in Section 2 are, however, negatively related to market value of equity and not significantly related to the other three variables. Among the variables investigated by us, book-to-market ratio has the greatest explanatory power for stock returns and it indicates superior returns for value stocks. Our findings strengthen the international evidence of the role of book-to-market ratio in explaining stock returns by demonstrating its significance even in the segmented Korean market.     

公允价值会计与市场投资异象研究——来自中国上市公司的经验证据

以2007～2010年我国A股公司为样本,研究了上市公司在采用公允价值计量方式后是否会产生新的投资异象以及造成这种投资异象的影响因素。运用均值T检验和Wilcoxon符号等级检验,并采用Fama-French三因素模型对样本公司进行回归。研究发现,在控制了市场风险、规模风险和账面市值比风险之后,投资策略仍然可获得超常回报率,并且公允价值变动损益占净利润比重大(小)的组,超常回报率低(高)。套利风险、交易成本是公允价值变动损益对净利润的波动性风险造成的投资异象的影响因素。交易成本越大,套利风险越高,错误定价越不容易被消除,其超常回报率也越高。     

Why does book-to-market value of equity forecast cross-section stock returns?

In this paper, we derive a model of book-to-market value of equity based on the present value model and estimate it using panel data on individual stocks. We explicitly include in the model all the determinants of book-to-market except the firm-specific discount rate, which we capture using fixed individual effects in the panel data model. The model is particularly successful, explaining nearly 90% of the time series and cross-section variation in the ratio of book-to-market value of equity. Moreover, the estimated firm-specific fixed effects are more successful than the most recent book-to-market value of equity in forecasting subsequent returns. This is consistent with an efficient market in which book-to-market is a proxy for risk.     

The conditional relation between dispersion and return

The main goal of this paper is to examine the conditional pricing effect of return dispersion on the cross section of returns. We observe a systematic conditional relation between dispersion and return even after controlling for market, size and book-to-market factors. However, we find that return dispersion risk is asymmetrically priced with a significantly positive premium observed during periods of large market gains only. The findings are found to be robust to alternative conditional specifications of market returns, suggesting asymmetric pricing effect of the return dispersion factor. We provide alternative explanations for the systematic risk captured by the return dispersion factor and discuss implications for portfolio management and corporate decisions.     

Do pricing efficiencies in Indian equity ETF market impact its performance?

We examine the pricing efficiency of domestic exchange-traded funds (ETFs) in the Indian equity market where growth co-exists with operating inefficiencies. The ETFs, on average, outperform their fund benchmarks, but the magnitudes of the premium (discount) and tracking error are considerably higher for a synchronously traded market. Among the ETF categories based on fund benchmarks, thematic and broad market ETFs have higher tracking errors and discounts than strategy and sectoral ETFs. We find a nonsignificant negative relationship between discount and redemption units, implying that the creation/redemption process remains unaffected by the prevailing discount in the market. Despite low arbitrage constraints, market participants fail to curtail the prevailing tracking error and discount. This study highlights the operational constraints of arbitrageurs in the Indian ETF market.