Recent research reveals that hedge fund returns exhibit a range of different, possibly non-linear pay-off patterns. It is difficult to qualify all these patterns simultaneously as being rational in a traditional framework for optimal financial decision making. In this paper we present a simple model based on loss aversion that can accommodate for all of these pay-off structures in one unifying framework. We provide evidence that loss-aversion is a likely assumption for management as well as investor preferences. Following the current empirical literature, we solve a static asset allocation problem that includes a nonlinear instrument. We show analytically that four different pay-off functions may be rationally optimal. The key parameter in determining which of these four to choose in a specific setting, is the financial planner's surplus. The notion of surplus connects hedge fund manager's incentive schemes with the idea of mental accounting as proposed in recent behavioral finance research.
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ter Horst, Jenke R. & Nijman, Theo E. & de Roon, Frans A., 2004.
"Evaluating style analysis,"
Journal of Empirical Finance,
Elsevier, vol. 11(1), pages 29-53, January.
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Other versions:
Roon.F.A. de, & Nijman, T.E. & Horst, J.R. ter, 2000.
"Evaluating style analysis,"
Discussion Paper
64, Tilburg University, Center for Economic Research.
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Roon, F.A. de & Nijman, T.E. & Werker, B.J.M., 2000.
"Evaluating Style Analysis,"
Research Paper
ERS-2000-11-F&A Revision_, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni.
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