Shock-dependent conditional skewness in international aggregate stock markets

This article uses the SU-normal distribution to model the dynamic behavior of skewness in ten international aggregate stock indices—five indices each from developed and emerging markets. The conditional skewness process is specified as both autoregressive and dependent on lagged return shocks. Our primary result is that a negative return shock skews the time-varying distribution to the right for mature markets but to the left for emerging markets. In addition, we find that the asymmetry in volatility is noticeably larger in developed markets than in emerging markets. Finally, including the skewness process in modeling has no effect on the asymmetry and persistence in volatility obtained. These results are different from those of previous studies, which demonstrate the existence of both effects.

[1]  Atsuyuki Naka,et al.  Volatility clustering, leverage effects, and jump dynamics in the US and emerging Asian equity markets , 2007 .

[2]  Chang-Jin Kim,et al.  Estimation of Markov regime-switching regression models with endogenous switching , 2003 .

[3]  Kee-Hong Bae,et al.  Corporate Governance and Conditional Skewness in the World's Stock Markets , 2003 .

[4]  A. Christie,et al.  The stochastic behavior of common stock variances: value , 1982 .

[5]  J. Stein,et al.  Differences of Opinion, Short-Sales Constraints, and Market Crashes , 2003 .

[6]  Kurt Brännäs,et al.  An alternative conditional asymmetry specification for stock returns , 2003 .

[7]  Eric Jondeau,et al.  The Impact of Shocks on Higher Moments , 2008 .

[8]  James B. McDonald,et al.  A Flexible Parametric Garch Model With An Application To Exchange Rates , 2001 .

[9]  James B. McDonald,et al.  An application and comparison of some flexible parametric and semi-parametric qualitative response models , 1996 .

[10]  C. Nelson,et al.  Why are stock returns and volatility negatively correlated , 2007 .

[11]  Kurt Brännäs,et al.  Conditional skewness modelling for stock returns , 2003 .

[12]  R. Prentice A LOG GAMMA MODEL AND ITS MAXIMUM LIKELIHOOD ESTIMATION , 1974 .

[13]  The effects of skewness on optimal production and hedging decisions: An application of the skew-normal distribution , 2009 .

[14]  C. Nelson,et al.  Is There a Positive Relationship between Stock Market Volatility and the Equity Premium? , 2004 .

[15]  Massimo Guidolin,et al.  International Asset Allocation Under Regime Switching, Skew and Kurtosis Preferences , 2007 .

[16]  P. Wdowiński,et al.  Asymmetry in Volatility: A Comparison of Developed and Transition Stock Markets , 2010, SSRN Electronic Journal.

[17]  J. Stein,et al.  Differences of Opinion, Rational Arbitrage and Market Crashes , 1999 .

[18]  L. Glosten,et al.  On the Relation between the Expected Value and the Volatility of the Nominal Excess Return on Stocks , 1993 .

[19]  James D. Hamilton A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[20]  Daniel B. Nelson CONDITIONAL HETEROSKEDASTICITY IN ASSET RETURNS: A NEW APPROACH , 1991 .

[21]  N. L. Johnson,et al.  Systems of frequency curves generated by methods of translation. , 1949, Biometrika.

[22]  Campbell R. Harvey,et al.  Conditional Skewness in Asset Pricing Tests , 1999 .

[23]  Gonzalo Rubio,et al.  Autoregresive conditional volatility, skewness and kurtosis , 2005 .

[24]  James D. Hamilton,et al.  Autoregressive conditional heteroskedasticity and changes in regime , 1994 .

[25]  C. J. Adcock,et al.  An analysis of skewness and skewness persistence in three emerging markets , 2005 .

[26]  Luc Bauwens,et al.  A New Class of Multivariate Skew Densities, with Application to GARCH Models , 2002 .

[27]  James Montier,et al.  Behavioural Finance: Insights into Irrational Minds and Markets , 2002 .

[28]  Parametric models for partially adaptive estimation with skewed and leptokurtic residuals , 1991 .

[29]  Greg N. Gregoriou Handbook of short selling , 2011 .

[30]  Campbell R. Harvey,et al.  Autoregressive conditional skewness , 1999 .

[31]  Massimo Guidolin,et al.  Small caps in international equity portfolios: the effects of variance risk , 2005 .

[32]  Anthony S. Tay,et al.  Global and Regional Sources of Risk in Equity Markets: Evidence from Factor Models With Time-Varying Conditional Skewness , 2007 .

[33]  John Y. Campbell,et al.  No News is Good News: An Asymmetric Model of Changing Volatility in Stock Returns , 1991 .

[34]  D. Hirshleifer,et al.  Sidelined Investors, Trading-Generated News, and Security Returns , 2001 .

[35]  Yuichi Nagahara,et al.  The PDF and CF of Pearson type IV distributions and the ML estimation of the parameters , 1999 .

[36]  Douglas G. Steigerwald,et al.  Asymptotic Bias for Quasi-Maximum-Likelihood Estimators in Conditional Heteroskedasticity Models , 1997 .

[37]  R. Litzenberger,et al.  SKEWNESS PREFERENCE AND THE VALUATION OF RISK ASSETS , 1976 .

[38]  S. Mayfield,et al.  Estimating the Market Risk Premium , 1999 .

[39]  B. Hansen Autoregressive Conditional Density Estimation , 1994 .

[40]  C. Kearney,et al.  Volume and Skewness in International Equity Markets , 2008 .

[41]  James B. McDonald,et al.  Forecasting Asymmetries in Aggregate Stock Market Returns: Evidence from Conditional Skewness , 2005 .

[42]  Luc Bauwens,et al.  A New Class of Multivariate Skew Densities, With Application to Generalized Autoregressive Conditional Heteroscedasticity Models , 2005 .

[43]  W. N. Street,et al.  Financial Data and the Skewed Generalized T Distribution , 1998 .

[44]  J. Chen,et al.  Forecasting crashes: trading volume, past returns, and conditional skewness in stock prices , 2001 .

[45]  C. Granger,et al.  A long memory property of stock market returns and a new model , 1993 .

[46]  M. Watson,et al.  Bubbles, Rational Expectations and Financial Markets , 1982 .

[47]  M. Rockinger,et al.  Entropy Densities: With an Application to Autoregressive Conditional Skewness and Kurtosis , 2002 .

[48]  Enrique Sentana Quadratic Arch Models , 1995 .

[49]  J. Zakoian Threshold heteroskedastic models , 1994 .

[50]  K. Nam,et al.  Asymmetric and leptokurtic distribution for heteroscedastic asset returns: The SU-normal distribution , 2008 .

[51]  Markku Lanne,et al.  Modeling Conditional Skewness in Stock Returns , 2007 .

[52]  Giampiero M. Gallo,et al.  Volatility spillovers, interdependence and comovements: A Markov Switching approach , 2008, Comput. Stat. Data Anal..

[53]  N. L. Johnson,et al.  Continuous Univariate Distributions. , 1995 .

[54]  Edoardo Otranto,et al.  The multi‐chain Markov switching model , 2005 .

[55]  Eric Jondeau,et al.  Conditional volatility, skewness, and kurtosis: existence, persistence, and comovements , 2003 .