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On the out-of-sample importance of skewness and asymetric dependence for asset allocation

Patton, Andrew J. (2002) On the out-of-sample importance of skewness and asymetric dependence for asset allocation. Discussion paper: IAM Series No 001, 431. Financial Markets Group, London School of Economics and Political Science, London, UK.

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Abstract

Recent studies in the empirical finance literature have reported evidence of two types of asymmetries in the joint distribution of stock returns. The Þrst is skewness in the distribution of individual stock returns, while the second is an asymmetry in the dependence between stocks: stock returns appear to be more highly correlated during market downturns than during market upturns. In this paper we examine the economic and statistical significance of these asymmetries for asset allocation decisions in an out-of-sample setting. We consider the problem of a CRRA investor allocating wealth between the risk-free asset, a small-cap and a large-cap portfolio, using monthly data. We use models that can capture time-varying means and variances of stock returns, and also the presence of time-varying skewness and kurtosis. Further, we use copula theory to construct models of the time-varying dependence structure that allow for greater dependence during bear markets than bull markets. The importance of these two asymmetries for asset allocation is assessed by comparing the performance of a portfolio based on a normal distribution model with a portfolio based on a more ßexible distribution model. For a variety of performance measures and levels of risk aversion our results suggest that capturing skewness and asymmetric dependence leads to gains that are economically signiÞcant, and statistically significant in some cases.

Item Type: Monograph (Discussion Paper)
Official URL: http://fmg.lse.ac.uk
Additional Information: © 2002 The Author
Library of Congress subject classification: H Social Sciences > HG Finance
H Social Sciences > HB Economic Theory
Journal of Economic Literature Classification System: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation
C - Mathematical and Quantitative Methods > C3 - Econometric Methods: Multiple; Simultaneous Equation Models; Multiple Variables; Endogenous Regressors > C32 - Time-Series Models
G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice; Investment Decisions
Sets: Research centres and groups > Financial Markets Group (FMG)
Collections > Economists Online
Collections > LSE Financial Markets Group (FMG) Working Papers
Rights: http://www.lse.ac.uk/library/usingTheLibrary/academicSupport/OA/depositYourResearch.aspx
Identification Number: 431
Date Deposited: 20 Aug 2009 15:30
URL: http://eprints.lse.ac.uk/24951/

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