Optimal investment strategy to minimize occupation time

Optimal investment strategy to minimize occupation time

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Article ID: iaor20103197
Volume: 176
Issue: 1
Start Page Number: 389
End Page Number: 408
Publication Date: Apr 2010
Journal: Annals of Operations Research
Authors: ,
Keywords: Black-Scholes
Abstract:

We find the optimal investment strategy to minimize the expected time that an individual's wealth stays below zero, the so-called occupation time. The individual consumes at a constant rate and invests in a Black-Scholes financial market consisting of one riskless and one risky asset, with the risky asset's price process following a geometric Brownian motion. We also consider an extension of this problem by penalizing the occupation time for the degree to which wealth is negative.

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