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Optimal Portfolio Allocation under Higher Moments

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  • Eric Jondeau
  • Michael Rockinger

Abstract

We evaluate how departure from normality may affect the allocation of assets. A Taylor series expansion of the expected utility allows to focus on certain moments and to compute the optimal portfolio allocation numerically. A decisive advantage of this approach is that it remains operational even for a large number of assets. While the mean‐variance criterion provides a good approximation of the expected utility maximisation under moderate non‐normality, it may be ineffective under large departure from normality. In such cases, the three‐moment or four‐moment optimisation strategies may provide a good approximation of the expected utility.

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  • Eric Jondeau & Michael Rockinger, 2006. "Optimal Portfolio Allocation under Higher Moments," European Financial Management, European Financial Management Association, vol. 12(1), pages 29-55, January.
    • Handle: RePEc:bla:eufman:v:12:y:2006:i:1:p:29-55
    DOI: 10.1111/j.1354-7798.2006.00309.x
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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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