Continuous time mean-variance portfolio optimization with piecewise state-dependent risk aversion

Continuous time mean-variance portfolio optimization with piecewise state-dependent risk aversion

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Article ID: iaor20163741
Volume: 10
Issue: 8
Start Page Number: 1681
End Page Number: 1691
Publication Date: Dec 2016
Journal: Optimization Letters
Authors: , ,
Keywords: investment, optimization, risk
Abstract:

In this paper, a continuous time mean‐variance portfolio optimization problem is considered within a game theoretic framework, where the risk aversion function is assumed to depend on the current wealth level and the discounted (preset) investment target. We derive the explicit time consistent investment policy, and find that if the current wealth level is less (larger) than the discounted investment target, the future wealth level along the time consistent investment policy is always less (larger) than the discounted investment target.

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