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Is There an Intertemporal Relation between Downside Risk and Expected Returns?

  • Turan G. Bali (a1), K. Ozgur Demirtas (a2) and Haim Levy (a3)

Abstract

This paper examines the intertemporal relation between downside risk and expected stock returns. Value at Risk (VaR), expected shortfall, and tail risk are used as measures of downside risk to determine the existence and significance of a risk-return tradeoff. We find a positive and significant relation between downside risk and the portfolio returns on NYSE/AMEX/Nasdaq stocks. VaR remains a superior measure of risk when compared with the traditional risk measures. These results are robust across different stock market indices, different measures of downside risk, loss probability levels, and after controlling for macroeconomic variables and volatility over different holding periods as originally proposed by Harrison and Zhang (1999).

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Ang, A.; Chen, J.; and Xing, Y.. “Downside Risk.” Review of Financial Studies, 19 (2006), 11911239.
Arditti, F. D. “Risk and the Required Return on Equity.” Journal of Finance, 22 (1967), 1936.
Arditti, F. D., and Levy, H.. “Portfolio Efficiency Analysis in Three Moments: The Multi-Period Case.” Journal of Finance, 30 (1975), 797809.
Artzner, P.; Delbaen, F.; Eber, J.-M.; and Heath, D.. “Coherent Measures of Risk.” Mathematical Finance, 9 (1999), 203228.
Arzac, E. R., and Bawa, V. S.. “Portfolio Choice and Equilibrium in Capital Markets with Safety-First Investors.” Journal of Financial Economics, 4 (1977), 277288.
Bali, T. G. “An Extreme Value Approach to Estimating Volatility and Value at Risk.” Journal of Business, 76 (2003), 83108.
Bali, T. G. “The Intertemporal Relation between Expected Returns and Risk.” Journal of Financial Economics, 87 (2008), 101131.
Bali, T. G.; Cakici, N.; Yan, X.; and Zhang, Z.. “Does Idiosyncratic Risk Really Matter?Journal of Finance, 60 (2005), 905929.
Baumol, W. J. “An Expected Gain-Confidence Limit Criterion for Portfolio Selection.” Management Science, 10 (1963), 174182.
Berk, J. B. “Necessary Conditions for the CAPM.” Journal of Economic Theory, 73 (1997), 245257.
Black, F., and Scholes, M.. “The Pricing of Options and Corporate Liabilities.” Journal of Political Economy, 81 (1973), 637654.
Campbell, J. Y. “Stock Returns and the Term Structure.” Journal of Financial Economics, 18 (1987), 373399.
Carr, P.; Geman, H.; Madan, D. B.; and Yor, M.. “The Fine Structure of Asset Returns: An Empirical Investigation.” Journal of Business, 75 (2002), 305332.
Chamberlain, G. “A Characterization of the Distributions that Imply Mean-Variance Utility Functions.” Journal of Economic Theory, 29 (1983), 185201.
Chen, J.; Hong, H.; and Stein, J.. “Forecasting Crashes: Trading Volume, Past Returns, and Conditional Skewness in Stock Prices.” Journal of Financial Economics, 61 (2001), 345381.
Cornish, E. A., and Fisher, R. A.. “Moments and Cumulants in the Specification of Distributions,” Extrait de la Revue de l’Institute International de Statistique, 4 (1937), 114. Reprinted in Fisher, R. A., Contributions to Mathematical Statistics. New York: Wiley (1950).
Cox, J. C., and Ross, S. A.. “The Valuation of Options for Alternative Stochastic Processes.” Journal of Financial Economics, 3 (1976), 145166.
Dittmar, R. F. “Nonlinear Pricing Kernels, Kurtosis Preference, and Evidence from the Cross Section of Equity Returns.” Journal of Finance, 57 (2002), 369403.
Fama, E. F., and French, K. R.. “Dividend Yields and Expected Stock Returns.” Journal of Financial Economics, 22 (1988), 325.
Fama, E. F., and French, K. R.. “Business Conditions and Expected Returns on Stocks and Bonds.” Journal of Financial Economics, 25 (1989), 2349.
Fama, E. F., and MacBeth, J. D.. “Risk, Return, and Equilibrium: Empirical Tests.” Journal of Political Economy, 81 (1973), 607636.
Ferson, W. E., and Harvey, C.. “The Variation of Economic Risk Premiums.” Journal of Political Economy, 99 (1991), 385415.
French, K. R.; Schwert, G. W.; and Stambaugh, R. F.. “Expected Stock Returns and Volatility.” Journal of Financial Economics, 19 (1987), 329.
Ghysels, E.; Santa-Clara, P.; and Valkanov, R.. “There is a Risk-Return Trade-Off After All.” Journal of Financial Economics, 76 (2005), 509548.
Guo, H., and Whitelaw, R.. “Uncovering the Risk-Return Relation in the Stock Market.” Journal of Finance, 61 (2006), 14331463.
Hansen, B. E. “Autoregressive Conditional Density Estimation.” International Economic Review, 35 (1994), 705730.
Harrison, P., and Zhang, H. H.. “An Investigation of the Risk and Return Relation at Long Horizons.” Review of Economics and Statistics, 81 (1999), 399408.
Harvey, C. R., and Siddique, A.. “Conditional Skewness in Asset Pricing Tests.” Journal of Finance, 55 (2000), 12631295.
Jarque, C. M., and Bera, A. K.. “Efficient Tests for Normality, Homoscedasticity and Serial Independence of Regression Residuals.” Economics Letters, 6 (1980), 255259.
Kimball, M. S. “Standard Risk Aversion.” Econometrica, 61 (1993), 589611.
Kraus, A., and Litzenberger, R. H.. “Skewness Preference and the Valuation of Risk Assets.” Journal of Finance, 31 (1976), 10851100.
Levy, H., and Markowitz, H.. “Approximating Expected Utility by a Function of Mean and Variance.” American Economic Review, 69 (1979), 308317.
Levy, H., and Sarnat, M.. “Safety First—An Expected Utility Principle.” Journal of Financial and Quantitative Analysis, 7 (1972), 18291834.
Longin, F. M. “From Value at Risk to Stress Testing: The Extreme Value Approach.” Journal of Banking and Finance, 24 (2000), 10971130.
Markowitz, H. “Portfolio Selection.” Journal of Finance, 7 (1952), 7791.
Markowitz, H. Portfolio Selection: Efficient Diversification of Investments, 2nd ed.Malden, MA: Blackwell (1959).
Merton, R. C. “An Intertemporal Capital Asset Pricing Model.” Econometrica, 41 (1973), 867887.
Merton, R. C. “Option Pricing When Underlying Stock Returns are Discontinuous.” Journal of Financial Economics, 3 (1976), 125144.
Merton, R. C. “On Estimating the Expected Return on the Market: An Exploratory Investigation.” Journal of Financial Economics, 8 (1980), 323361.
Neftci, S. N. “Value at Risk Calculations, Extreme Events, and Tail Estimation.” Journal of Derivatives, 7 (2000), 2337.
Newey, W. K., and West, K. D.. “A Simple, Positive Semi-Definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix.” Econometrica, 55 (1987), 703708.
Pratt, J. W., and Zeckhauser, R. J.. “Proper Risk Aversion.” Econometrica, 55 (1987), 143154.
Roy, A. D. “Safety First and the Holding of Assets.” Econometrica, 20 (1952), 431449.
Scott, R. C., and Horvath, P. A.. “On the Direction of Preference for Moments of Higher Order than the Variance.” Journal of Finance, 35 (1980), 915919.
Tallarini, T. D., and Zhang, H. H.. “External Habit and the Cyclicality of Expected Stock Returns.” Journal of Business, 78 (2005), 10231048.

Is There an Intertemporal Relation between Downside Risk and Expected Returns?

  • Turan G. Bali (a1), K. Ozgur Demirtas (a2) and Haim Levy (a3)

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