Re-examining the asymmetric predictability of conditional variances: The role of sudden changes in variance

The existence of “spillover effects” in financial markets is well documented and multivariate time series techniques have been used to study the transmission of conditional variances among large and small market value firms. Earlier research has suggested that volatility surprises to large capitalization firms are a reliable predictor of the volatility of small capitalization firms. A related line of research has examined how regime shifts in volatility may account for a considerable amount of the persistence in volatility. However, these studies have focused on univariate modeling and many have imposed regime changes on a priori grounds. This paper re-examines the asymmetry in the predictability of the volatilities of large versus small market value firms allowing for sudden changes in variance. Our method of analysis extends the existing literature in two important ways. First, recent advances in time series econometrics allow us to detect the time periods of sudden changes in volatility of large cap and small cap stocks endogenously using the iterated cumulated sums of squares (ICSS) algorithm. Second, we directly incorporate the information obtained on sudden changes in volatility in a Bivariate GARCH model of small and large cap stock returns. Our findings indicate that accounting for volatility shifts considerably reduces the transmission in volatility and, in essence, removes the spillover effects. We conclude that ignoring regime changes may lead one to significantly overestimate the degree of volatility transmission that actually exists between the conditional variances of small and large firms.     

Asymmetric predictability of conditional variances

We show that there is an asymmetry in the predictability ofthe volatilities of large versus small firms. Using both univariateand multivariate ARMA - GARCH-M parameterziations, we find thatvolatility surprises to large market value firms are importantto the future dynamics of their own returns as well as the returnsof small firms. Conversely, however, shocks to smaller firmshave no impact on the behavior of either the mean or the varianceof the returns of larger capitalization companies.     

ON STOCK RETURN SEASONALITY AND CONDITIONAL HETEROSKEDASTICITY

We model the seasonal volatility of stock returns using GARCH specifications and size-sorted portfolios. Estimation results indicate that there are volatility differences between months and that these seasonal volatility patterns are conditional on firm size. Additionally, we find that seasonal volatility does not explain seasonal returns when the reward for risk is held constant over the sample period. Specifically, our results indicate that much of the abnormal return in January for small firms cannot be entirely attributed to either higher systematic risk or a higher risk premium in January.     

Auditor Market Share,Product Differentiation and Audit Fees

This study examines the effects of auditor market share and product differentiation on audit fees. Previous studies have attributed the price premium charged by the Big Eight (the Big Six in the present study) to Big Eight product differentiation. However, such a price premium could be partly due to monopoly pricing. In the present study, the Hong Kong audit market provides a unique setting in which a non-Big Six local auditor has a market share comparable to those of the third and fourth largest Big Six firms. This makes it feasible to control for the effects of market share via matching. Also, the wide disparity among the Big Six firms ‘market shares in Hong Kong makes it feasible to test for the effects of market power on audit fees. The results show that, consistent with prior studies, the Big Six audit firms charge higher audit fees than non-Big Six firms in the small auditee, but not the big auditee, market. This suggests that similar economic forces to those other audit markets are also at work in Hong Kong. Despite the Big Six firms’ widely different market shares, there was no price differentiation among them. Yet there was a Big Six price premium over the large local firm with a similar market share to those of two of the Big Six. Together, these results suggest that the Big Six price premium is a result of product differentiation rather than monopoly pricing.     

The relation between stock returns and short-term interest rates

This study examines the relation between the expected returns on common stocks and short-term interest rates. Using a two-factor model of stock returns, we show that the expected returns on common stocks are systematically related to the market risk and the interest-rate risk, which are estimated as the sensitivity of common-stock excess returns to the excess return on the equally weighted market index and to the federal fund premium, respectively. We find that the interest-rate risk for small firms is a significant source of investors' portfolio risk, but is not properly reflected in the single-factor market risk. We also find that the interest-rate risk for large firms is “negative” in the sense that the market risk estimated from the single-factor model overstates the true risk of large firms. An application of the Fama-MacBeth methodology indicates that the interest-rate risk premium as well as the market's risk premium are significant, implying that both the market risk and the interest-rate risk are priced. We show that the interest-rate risk premium explains a significant portion of the difference in expected returns between the top quintile and the bottom quintile of the NYSE and AMEX firms. We also show that the turn-of-the-year seasonal is observed for the interest-rate risk premium; however, the risk premium for the rest of the year is still significant, although small in mangitude.     

Time-varying risk aversion and asset prices

This paper uses a variant of the consumption-based representative agent model in Campbell and Cochrane [Campbell, J.Y., Cochrane, J.H., 1999. By force of habit: Consumption-based explanation of aggregate stock market behavior. Journal of Political Economy 107, 205–251] to study how investors’ time-varying risk aversion affects asset prices. First, we show that a countercyclical variation of risk aversion drives a procyclical conditional risk premium. Second, we show that with a small value for the volatility of the log surplus consumption ratio, a large value of risk aversion may not determine whether the equity premium and the risk-free rate puzzles can be resolved or not. Third, we show that countercyclical risk aversion may not help explain the predictability of long-horizon stock returns, the univariate mean-reversion of stock prices and the “leverage effect” in return volatility.     

Recent estimates of time-variation in the conditional variance and in the exchange risk premium

The optimal-diversification model of investors' portfolio behavior can give a linear relationship between the exchange risk premium and the conditional exchange rate variance. This note surveys recent empirical work that allows the conditional variance itself, and therefore the risk premium, to vary over time. In particular, it examines the implications of recent empirical estimates for earlier arguments, based on the assumption that the conditional variance was constant over time, that the exchange risk premium had to be small in magnitude and variability.     

RISK, SEASONALITY AND THE ASYMMETRIC BEHAVIOUR OF STOCK RETURNS

For some time there has been a puzzle surrounding the seasonal behaviour of stock returns. This paper demonstrates that there is an asymmetric relationship between systematic risk and return across the different months of the year for both large and small firms. In the case of both large and small firms systematic risk appears to be priced in only two months of the year, January and April. During the other months no persistent relationship between systematic risk and return appears to exist. The paper also shows that when systematic risk is priced, the size of the systematic risk premium is higher for large firms than for small firms and varies significantly across the months of the year.     

Are stock markets really efficient? Evidence of the adaptive market hypothesis

This study examines the adaptive market hypothesis in the S&P500, FTSE100, NIKKEI225 and EURO STOXX 50 by testing for stock return predictability using daily data from January 1990 to May 2014. We apply three bootstrapped versions of the variance ratio test to the raw stock returns and also whiten the returns through an AR-GARCH process to study the nonlinear predictability after accounting for conditional heteroscedasticity through the BDS test. We evaluate the time-varying return predictability by applying these tests to fixed-length moving subsample windows and also examine whether there is a relationship between the level of predictability in stock returns and market conditions. The results show that there are periods of statistically significant return predictability, but also episodes of no statistically significant predictability in stock returns. We also find that certain market conditions are statistically significantly related to predictability in certain markets but each market interacts differently with the different market conditions. Therefore our findings suggest that return predictability in stock markets does vary over time in a manner consistent with the adaptive market hypothesis and that each market adapts differently to certain market conditions. Consequently our findings suggest that investors should view each market independently since different markets experience contrasting levels of predictability, which are related to market conditions.     

Productivity-based asset pricing: Theory and evidence

In a general real business cycle model, we derive a pricing kernel that involves only production function arguments. The productivity shock is the single factor and the capital stock relative to a productivity measure is the conditioning variable. The model compares favorably with the complementary consumption-based and market-based approaches and with the Fama-French three-factor model. A size premium arises from differences in unconditional sensitivities—small firms are more sensitive to productivity shocks—and a value premium from differences in conditional sensitivities to productivity shocks—growth firms are more sensitive to productivity shocks when the productivity risk premium is low.     

Are TIPS the “real” deal?: A conditional assessment of their role in a nominal portfolio

This paper documents predictable time-variation in the real return beta of US Treasury Inflation Protected Securities (TIPS) and in the Sharpe ratios of both indexed and conventional bonds. The conditional mean and volatility of both bonds and their conditional correlation first are estimated from predetermined variables. These estimates then are used to compute conditional real return betas and Sharpe ratios. The time-variation in real return betas and the correlation between TIPS and nominal bonds coincides with major developments in the fixed-income market. One implication of this predictability is that portfolio managers can assess more efficiently the risk of investing in TIPS versus conventional bonds. Conditional Sharpe ratios indicate that over the sample period, TIPS had superior volatility-adjusted returns relative to nominal bonds. This finding is striking in view of the absence of a major inflation scare during the sample period from February 1997 through August 2001, but is loosely consistent with the possibility that TIPS elevated rather than reduced Treasury borrowing costs. On the other hand, mean–variance spanning tests indicate that TIPS did not enhance the mean–variance efficiency of diversified portfolios.     

Inferring volatility dynamics and risk premia from the S&P 500 and VIX markets

We estimate a flexible affine model using an unbalanced panel containing S&P 500 and VIX index returns and option prices and analyze the contribution of VIX options to the model’s in- and out-of-sample performance. We find that they contain valuable information on the risk-neutral conditional distributions of volatility at different time horizons, which is not spanned by the S&P 500 market. This information allows enhanced estimation of the variance risk premium. We gain new insights on the term structure of the variance risk premium, present a trading strategy exploiting these insights, and show how to improve S&P 500 return forecasts.     

Is the Market Portfolio a Dynamic Factor? Evidence from Individual Stock Returns

This paper uses a factor model to test whether the market portfolio is a dynamic factor in the sense that individual stock returns contain a premium linked to the conditional risk of the market portfolio. The market conditional risk is based on a decomposition of the market variance into a time-varying trend component and a transitory component. The evidence shows that the conditional market premium is rising when the permanent trend rises relative to the conditional variance. The evidence for individual stock returns supports the notion that the market portfolio is a dynamic factor. Individual stock return autocorrelations are fully explained by the time variation in the market premium. The risk premia attributed to static factors are statistically insignificant.     

FIRM SIZE AND DIVIDEND ANNOUNCEMENTS

This study documents an association between firm size and abnormal returns from the announcement of large dividend increases. Dividend announcements are examined only where there are no contemporaneous earnings announcements. The methodology controls for both the payout ratio of firms and the size of the dividend increase. Using means tests and analysis of variance, the findings indicate that the abnormal stock price reaction to a dividend increase is greater for small firms.     

中国A股市场存在品质溢价吗?

本文从价值投资的核心理念出发,基于盈利性、成长性、安全性、分红能力四个维度构建复合品质指标,并通过分析品质溢价在中国A股市场中的存在性来探讨价值投资的可行性和有效性。实证结果表明:(1)中国A股市场上存在显著为正的品质溢价,且品质溢价在控制其他相关变量后依然稳健存在;(2)高品质股票具有大市值、高成长特征,且品质溢价在大市值、高盈利的分组中更加显著;(3)品质溢价在不同时期下均能稳定存在;(4)中国A股市场上的品质溢价并非源于高风险承担,相反,由正向反馈偏好、博彩偏好、套利限制引起的错误定价有助于解释品质溢价。本文结论佐证了价值投资策略在中国A股市场的可行性和有效性,为培育良好投资理念、抑制过度投机、促进中国股市合理健康发展等提供了经验证据。     

Surprise volume and heteroskedasticity in equity market returns

Heteroskedasticity in returns may be explainable by trading volume. We use different volume variables, including surprise volume—i.e. unexpected above-average trading activity—which is derived from uncorrelated volume innovations. Assuming weakly exogenous volume, we extend the Lamoureux and Lastrapes () model by an asymmetric GARCH in-mean specification following Golsten et al. (). Model estimation for the US as well as six large equity markets shows that surprise volume provides superior model fit and helps to explain volatility persistence as well as excess kurtosis. Surprise volume reveals a significant positive market risk premium, asymmetry and a surprise volume effect in conditional variance. The findings suggest that e.g. a surprise volume shock (breakdown)—i.e. large (small) contemporaneous and small (large) lagged surprise volume—relates to increased (decreased) conditional market variance and return.     

The rewards to meeting or beating earnings expectations

This paper finds that firms that meet or beat current analysts’ earnings expectations (MBE) enjoy a higher return over the quarter than firms with similar quarterly earnings forecast errors that fail to meet these expectations. Further, such a premium to MBE, although somewhat smaller, exists in the cases where MBE is likely to have been achieved through earnings or expectations management. The findings also indicate that the premium to MBE is a leading indicator of future performance. This premium and its predictive ability are only marginally affected by whether the MBE is genuine or the result of earnings or expectations management.     

The Treatment of Non-Recurring Items in the Income Statement and their Consistency with FASB Concept Statements

This study provides evidence on the consistency of Accounting Principles Board Statement No. 30 (APB, 1973) classification criteria with the objectives of the Financial Accounting Standards Board's Concept Statements Nos 1 and 2 (FASB, 1978, 1980). It is hypothesized that the current APB 30 requirement to classify items of a non-recurring nature in the operating section of the income statement decreases the predictive ability of income before extraordinary items. A random sample of 50 firms with non-recurring adjustments to income, which were included in the operating section of the income statement, was selected from Standard and Poor's Corporation Records. Naive models were used to generate earnings per share forecasts for the year in which the adjustment to income occurred, the prior year and subsequent year.
The results indicate a statistically significant decrease in the predictive ability of earnings per share before extraordinary items associated with the year that the adjustment occurred and a significant increase in the variability of earnings per share. Also, differences in predictive ability were noted between small and large firms and firms with positive and negative adjustments to income.
The results of this study also imply that the managers of most firms with negative adjustments to income are not using the adjustments to smooth income for either the purpose of decreasing the variability of earnings or increasing predictability. The results are more consistent with the 'big bath' theory. These conclusions appear to be more relevant for smaller firms than larger firms.     

XBRL and Accruals: Empirical Evidence from China

We examine whether XBRL adoption by publicly traded firms on the Shanghai Stock Exchange and Shenzhen Stock Exchange is related to the level of total accruals that firms report in the pre‐XBRL versus post‐XBRL periods. Our results indicate that the level of total accruals in the post‐XBRL period is lower relative to the pre‐XBRL period. This finding is robust to several controls for macroeconomic conditions and firm fundamentals. Moreover, we find this main effect is most prominent for firms that are most likely to benefit from greater transparency: high‐growth firms, small firms, and firms in high‐technology industries. One interpretation of our results is that XBRL implementation decreases investor’s information acquisition costs and thereby improves their ability to detect earnings management; managers in turn reduce accruals.     

The Impact of the Health Insurance Market on Small Firm Employment

Small firms that offer health insurance to their employees may face variable premiums if they hire employees with high expected health costs. To avoid expensive premium variability, small firms may attempt to maintain a workforce with low expected health costs. This results in employment distortions. I examine the magnitude of these employment distortions using the 1987 National Medical Expenditure Survey and the 1996 Medical Expenditure Panel Survey. Based on the underwriting behavior of insurance companies in 1988, I classify medical conditions into three categories: conditions that led to denial of coverage; conditions that led to exclusion restrictions; and, conditions that led to higher premiums. In 1987, I find that insured small firms were less likely to employ workers with families that had conditions that led to higher premiums than insured large firms. However, in 1996, possibly due to the passage of small group health insurance reforms that restrict insurers' ability to exclude or deny coverage, insured small firms were less likely to employ workers with denial conditions compared to insured large firms. These results suggest that the pattern of employment distortions in insured small firms is consistent with the evolving small group health insurance market.