Modeling Conditional Skewness in Stock Returns

Abstract

In this paper, we propose a new GARCH-in-Mean (GARCH-M) model allowing for conditional skewness. The model is based on the so-called z distribution capable of modeling skewness and kurtosis of the size typically encountered in stock return series. The need to allow for skewness can also be readily tested. The model is consistent with the volatility feedback effect in that conditional skewness is dependent on conditional variance. Compared to previously presented GARCH models allowing for conditional skewness, the model is analytically tractable, parsimonious and facilitates straightforward interpretation.Our empirical results indicate the presence of conditional skewness in the monthly postwar US stock returns. Small positive news is also found to have a smaller impact on conditional variance than no news at all. Moreover, the symmetric GARCH-M model not allowing for conditional skewness is found to systematically overpredict conditional variance and average excess returns.     

Ex Ante Skewness and Expected Stock Returns

We use option prices to estimate ex ante higher moments of the underlying individual securities’ risk‐neutral returns distribution. We find that individual securities’ risk‐neutral volatility, skewness, and kurtosis are strongly related to future returns. Specifically, we find a negative (positive) relation between ex ante volatility (kurtosis) and subsequent returns in the cross‐section, and more ex ante negatively (positively) skewed returns yield subsequent higher (lower) returns. We analyze the extent to which these returns relations represent compensation for risk and find evidence that, even after controlling for differences in co‐moments, individual securities’ skewness matters.     

Liquidity,Skewness and Stock Returns: Evidence from Chinese Stock Market

In this paper, a capital asset pricing model (CAPM) incorporating liquidity and skewness factors is proposed and tested by using the Chinese stock market data. The empirical results indicate that, under various market conditions, the liquidity-adjusted three-moment CAPM provides a better fit to the realized returns of various stock portfolios. Overall, this research reveals that illiquidity cost, liquidity risk and as well as skewness have important impacts on asset pricing in the Chinese stock market.     

股票市场收益序列尖峰和非对称特征研究

基于Pearson分布,运用一种新的检验方法RaoScore检验对股票市场19只个股进行实证研究的结果表明,H0：δ=0假设通常被拒绝,股票市场尖峰和非对称性普遍存在。     

The Effect of Managerial Ownership on Stock Split-Induced Abnormal Returns

This paper tests the proposition that split announcements are informative signals that play a greater information role for widely held firms. We present evidence for an inverse relationship between managerial ownership and the magnitude of stock split-induced abnormal returns. After controlling for industry and firm size, we find that splitting firms have lower managerial ownership, on average, than nonsplitting firms. We also find no evidence that managers trade on inside information prior to announcing splits.     

The Effect of Junk Bond Defaults on Common Stock Returns

This paper examines the effect of junk bond defaults on common stock returns. The evidence indicates that stockholders uncover the signs of financial distress long before the default date. Stock prices fall sharply at the time of the default announcement. Although stocks of fallen angel sample recover slowly and steadily after the default announcement, stocks of the original-issue junk bond sample continue to decline. On average, bankrupt firms suffer larger negative stock returns than defaulted firms not only at the time of announcement, but also in both pre- and post-event periods.     

Skewness and Stock Option Prices

Abstract

In the classical Black-Scholes model, the logarithm of the stock price has a normal distribution, which excludes skewness. In this paper we consider models that allow for skewness. We propose an option-pricing formula that contains a linear adjustment to the Black-Scholes formula. This approximation is derived in the shifted Poisson model, which is a complete market model in which the exact option price has some undesirable features. The same formula is obtained in some incomplete market models in which it is assumed that the price of an option is defined by the Esscher method. For a European call option, the adjustment for skewness can be positive or negative, depending on the strike price.     

The Cross-Section of Stock Returns on The Shanghai Stock Exchange

This study explores the cross-sectional stock return behavior on the A-share market of the Shanghai Stock Exchange (SSE), which is segmented from world's other equity markets. We estimate the effects of beta, firm size, book-to-market equity ratio and a variable unique to the Chinese stock markets, the proportion of firm's floating (tradable) equity over total equity on SSE stocks over the period 1993–2002. We find that smaller firms and value stocks perform better. Systematic risk is negatively significant in down markets. The proportion of floating equity has no direct effect on stock returns. JEL Classification: G14, G15     

Variance Spillover and Skewness in Financial Asset Returns

Bond and stock returns have been observed in the literature to exhibit unconditional skewness and temporal persistence in conditional skewness. We demonstrate that observed persistence in conditional third central moments can be due to the spillover of conditional variance dynamics. The confounding of true skewness and a variance spillover effect is problematic for financial modeling. Using market data, we empirically demonstrate that a simple standardization approach removes the variance‐induced skewness persistence. An important implication is that more parsimonious return and asset pricing models result if skewness persistence need not be modeled.     

Skewness and Kurtosis Implied by Option Prices: A Correction

Corrado and Su (1996) provide skewness and kurtosis adjustment terms for the Black‐Scholes model, using a Gram‐Charlier expansion of the normal density function. In this note we provide a correction to the expression for the skewness coefficient and illustrate the effect on call option prices of the error found.     

The Effect of US Stock Market Uncertainty on Emerging Market Returns

We investigate the effects of US stock market uncertainty (VIX) on the stock returns in Latin America and aggregate emerging markets before, during, and after the financial crisis. We find that increases in VIX lead to significant immediate and delayed declines in emerging market returns in all periods. However, changes in VIX explained a greater percentage of changes in emerging market returns during the financial crisis than in other periods. The higher US stock market uncertainty exerts a much stronger depressing effect on emerging market returns than their own-lagged and regional returns. Our risk transmission model suggests that a heightened US stock market uncertainty lowers emerging market returns by both reducing the mean returns and raising the variance of returns. The VIX fears raise the volatility of emerging market returns through generalized autoregressive conditional heteroskedasticity (GARCH)-type volatility transmission processes.     

On Stock Market Returns and Returns on Investment

This article presents general conditions under which it is possible to obtain asset pricing relations from the intertemporal optimal investment decision of the firm. Under the assumption of linear homogeneous production and adjustment cost functions (the Hayashi (1982) conditions), it is possible to establish, state by state, the equality between the return on investment and the market return of the financial claims issued by the firm. This result proves to be, in essence, robust to the consideration of very general constraints on investment and the inclusion of taxes.     

The Effect of Bond Rating Changes and New Ratings on UK Stock Returns

This is the first study to use daily data from a major capital market outside of the US to examine the role of corporate bond and commercial paper rating changes on common stock returns. Using data published by Standard and Poors' credit rating agency between 1984 and 1992, we examine the impact of new credit ratings, credit rating changes and Credit Watch announcements on UK common stock returns. We find significant negative excess returns around the date of a downgrade and positive returns close to the date of a positive CreditWatch announcement. Hence, the financial markets would appear to place some importance on rating agency pronouncements in the UK. New ratings, whether short or long-term, have no significant impact on returns. We also attempt to quantify the impact of a new credit rating upon firm cost of capital through measures of conditional volatility and systematic risk. However, we find only weak evidence to suggest that a stock's cost of capital is reduced after a long-term credit rating is awarded for the first time.     

The Effect of Volatility Changes on the Level of Stock Prices and Subsequent Expected Returns

This paper estimates volatility changes in daily returns to the Dow Jones Industrial Average over the sample period 1897 through 1988. This allows a direct investigation of the reaction of the level of stock prices and subsequent expected returns to these estimated changes in volatility. We provide empirical evidence consistent with relatively large and systematic revisions in stock prices and subsequent expected returns to volatility changes. However, there appears to be an asymmetry in the market's reaction to volatility increases as opposed to volatility decreases. A majority of our volatility changes cannot be associated with the release of significant economic information.     

The Effect of Interest Rate Changes on the Common Stock Returns of Financial Institutions

This paper examines the relation between the interest rate sensitivity of common stock returns and the maturity composition of the firm's nominal contracts. Using a sample of actively traded commerical banks and stock savings and loan associations, common stock returns are found to be correlated with interest rate changes. The co-movement of stock returns and interest rate changes is positively related to the size of the maturity difference between the firm's nominal assets and liabilities.     

赢富数据信息披露对股票收益的影响

本文基于赢富数据所披露的交易信息数据,将样本区间分为六个时间段,比较各个阶段投资者通过利用赢富数据买卖集中度获得收益的能力,来研究股票市场信息环境变化对股票收益的影响.实证结果表明,当股票买入集中度较大时,在初始的五个阶段,市场信息不对称程度的下降降低了股票的信息风险,导致股票收益下降;而在第六个阶段,期望信息风险的增加导致股票的收益较前一阶段有较大提高.而当股票具有较高的卖出集中度时,随着市场信息披露程度的提高,市场对利空信息反映更加敏感.     

A Dividend Payment Effect in Stock Returns

This paper presents evidence for the period 7/62-12/89 that individual NYSE and AMEX stocks provide relatively high average excess returns on the payment dates of quarterly cash dividends and several subsequent trading days. Additional results indicate that returns during the payment period: (a) are not a manifestation of the January, monthly or dividend yield anomalies; (b) are positively related to the stock's dividend yield; and (c) are higher for firms that have dividend reinvestment plans. These findings are consistent with a tendency by stock-holders to reinvest dividend income into the stock of the paying firm, thereby increasing demand for the stock and raising its price. Additional evidence links the returns on these days with (previously-documented) excess returns around the ex-dividend date.