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OPTIMAL INVESTMENT IN HEDGE FUNDS UNDER LOSS AVERSION

Bin Zou ()
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Bin Zou: Department of Applied Mathematics, University of Washington, Lewis Hall 202, Box 353925, Seattle, Washington 98195-3925, USA

International Journal of Theoretical and Applied Finance (IJTAF), 2017, vol. 20, issue 03, 1-32

Abstract: We study optimal investment problems in hedge funds for a loss averse manager under the framework of cumulative prospect theory. We obtain explicit solutions for a general utility function satisfying the Inada conditions and a piece-wise exponential utility function. Through a sensitivity analysis, we find that the manager reduces the risk of the hedge fund when her/his loss aversion, risk aversion, ownership in the fund, or management fee ratio increases. However, the increase of incentive fee ratio drives the manager to seek more risk in order to achieve higher prospect utility.

Keywords: Cumulative prospect theory; exponential utility; optimal investment; power utility; risk management; sensitivity analysis (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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DOI: 10.1142/S0219024917500145

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