Analysis of the optimal time to withdraw investments from hedge funds with alternative fee structures
Abstract
We study the optimal stopping problem arising from an investor determining the optimal time to withdraw
from a hedge fund investment with a shared loss fee structure and a positive fee for assets under
management. The optimal solution is characterized as the first exit time of the fund value from a bounded
region with upper and lower stopping boundaries. In the infinite horizon case, we present the complete
solution to the optimal stopping problem, while in the finite horizon case we derive a pair of coupled
integral equations for the stopping bounds, and present an asymptotic analysis of the stopping boundaries
for small time.
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Cite this version of the work
Fei Meng, David Saunders
(2022).
Analysis of the optimal time to withdraw investments from hedge funds with alternative fee structures. UWSpace.
http://hdl.handle.net/10012/20095
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