Conditional Asset Allocation Under Non-Normality: How Costly is the Mean-Variance Criterion?
42 Pages Posted: 26 Feb 2005
Date Written: February 2005
Abstract
We evaluate how departure from normality may affect the conditional allocation of wealth. The expected utility function is approximated by a fourth-order Taylor expansion that allows for non-normal returns. Market returns are characterized by a joint model that captures the time dependency and the shape of the distribution. We show that under large departure from normality, the mean-variance criterion can lead to portfolio weights that differ significantly from those obtained using the optimal strategy accounting for non-normality. In addition, the opportunity cost for a risk-adverse investor to use the sub-optimal mean-variance criterion can be very large.
Keywords: Volatility, Skewness, Kurtosis, GARCH, model, Multivariate skewed Student-t distribution, Stock returns, Asset allocation, Emerging markets
JEL Classification: C22, C51, G12
Suggested Citation: Suggested Citation
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