Portfolio optimisation with jumps: Illustration with a pension accumulation scheme

Olivier Le Courtois and Francesco Menoncin ()

Journal of Banking & Finance, 2015, vol. 60, issue C, 127-137

Abstract: In this paper, we address portfolio optimisation when stock prices follow general Lévy processes in the context of a pension accumulation scheme. The optimal portfolio weights are obtained in quasi-closed form and the optimal consumption in closed form. To solve the optimisation problem, we show how to switch back and forth between the stochastic differential and standard exponentials of the Lévy processes. We apply this procedure to both the Variance Gamma process and a Lévy process whose arrival rate of jumps exponentially decreases with size. We show through a numerical example that when jumps, and therefore asymmetry and leptokurtosis, are suitably taken into account, then the optimal portfolio share of the risky asset is around half that obtained in the Gaussian framework.

Keywords: Optimal portfolio; Lévy process; Stochastic exponential; Pension fund (search for similar items in EconPapers)
JEL-codes: G13 G22 (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:jbfina:v:60:y:2015:i:c:p:127-137

DOI: 10.1016/j.jbankfin.2015.08.001

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