Asymmetric Conditional Volatility in International Stock Markets

Recent studies show that a negative shock in stock prices will generate more volatility than a positive shock of similar magnitude. The aim of this paper is to appraise the hypothesis under which the conditional mean and the conditional variance of stock returns are asymmetric functions of past information. We compare the results for the Portuguese Stock Market Index PSI 20 with six other Stock Market Indices, namely the SP 500, FTSE 100, DAX 30, CAC 40, ASE 20, and IBEX 35. In order to assess asymmetric volatility we use autoregressive conditional heteroskedasticity specifications known as TARCH and EGARCH. We also test for asymmetry after controlling for the effect of macroeconomic factors on stock market returns using TAR and M-TAR specifications within a VAR framework. Our results show that the conditional variance is an asymmetric function of past innovations raising proportionately more during market declines, a phenomenon known as the leverage effect. However, when we control for the effect of changes in macroeconomic variables, we find no significant evidence of asymmetric behaviour of the stock market returns. There are some signs that the Portuguese Stock Market tends to show somewhat less market efficiency than other markets since the effect of the shocks appear to take a longer time to dissipate.

[1]  C. Sims.  MACROECONOMICS AND REALITY , 1977 .

[2]  Journal of business , 2022 .

[3]  J. Kertész,et al.  Multifractal model of asset returns with leverage effect , 2004, cond-mat/0403767.

[4]  Cointegration and Threshold Adjustment , 2001 .

[5]  Thomas Lux,et al.  The stable Paretian hypothesis and the frequency of large returns: an examination of major German stocks , 1996 .

[6]  Frode Sættem,et al.  Causal relations among stock returns and macroeconomic variables in a small, open economy , 1999 .

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

[8]  Eric Ghysels,et al.  Editors' Introduction to Twentieth Anniversary Commemorative Issue of the Journal of Business and Economic Statistics , 2002 .

[9]  K. C. John Wei,et al.  Volatility and price change spillover effects across the developed and emerging markets , 1995 .

[10]  Jean-Philippe Bouchaud,et al.  The skewed multifractal random walk with applications to option smiles , 2002, cond-mat/0204047.

[11]  Andrew J. Patton,et al.  What good is a volatility model? , 2001 .

[12]  E. Fama.  The Behavior of Stock-Market Prices , 1965 .

[13]  E. Fama,et al.  Dividend yields and expected stock returns , 1988 .

[14]  C. Sims,et al.  Comparison of Interwar and Postwar Business Cycles: Monetarism Reconsidered , 1980 .

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

[16]  P. Phillips.  BOOTSTRAPPING I(1) DATA BY PETER C. B. PHILLIPS COWLES FOUNDATION PAPER NO. 1310 COWLES FOUNDATION FOR RESEARCH IN ECONOMICS , 2010 .

[17]  Clive W. J. Granger,et al.  Unit Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates , 1998 .

[18]  Jeffrey H. Harris,et al.  Effects of Market Reform on the Trading Costs and Depths of Nasdaq Stocks , 1999 .

[19]  C. Sims.  Money, Income, and Causality , 1972 .

[20]  Lawrence Fisher,et al.  Some New Stock-Market Indexes , 1966 .

[21]  Financial Analysts Federation.  The financial analysts journal , 1960 .

[22]  E. Bacry,et al.  Multifractal random walk. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[23]  V. Plerou,et al.  Scaling of the distribution of price fluctuations of individual companies. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[24]  Macro shocks and real stock prices , 2001 .

[25]  J. Bouchaud,et al.  More stylized facts of financial markets: leverage effect and downside correlations , 2001 .

[26]  L. Ghalayini,et al.  Journal of Economics and Business , 2019 .

[27]  Myron S. Scholes,et al.  Estimating betas from nonsynchronous data , 1977 .

[28]  Gautam Kaul,et al.  Time-Variation in Expected Returns , 1988 .

[29]  Walter E. Hoadley.  The Business and Economic Statistics Section , 1951 .

[30]  Ronald W. Masulis,et al.  Correlations in Price Changes and Volatility Across International Stock Markets , 1990 .