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Evaluating Portfolio Policies: A Duality Approach

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Author Info
Kogan, Leonid
Haugh, Martin
Wang, Jiang
Abstract

The performance of a given portfolio policy can in principle be evaluated by comparing its expected utility with that of the optimal policy. Unfortunately, the optimal policy is usually not computable in which case a direct comparison is impossible. In this paper we solve this problem by using the given portfolio policy to construct an upper bound on the unknown maximum expected utility. This construction is based on a dual formulation of the portfolio optimization problem. When the upper bound is close to the expected utility achieved by the given portfolio policy, the potential utility loss of this policy is guaranteed to be small. Our algorithm can be used to evaluate portfolio policies in models with incomplete markets and position constraints. We illustrate our methodology by analyzing the static and myopic policies in markets with return predictability and constraints on short sales and borrowin

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File URL: http://hdl.handle.net/1721.1/3540
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Publisher Info
Paper provided by Massachusetts Institute of Technology (MIT), Sloan School of Management in its series Working papers with number 4329-03.

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Date of creation: 15 Aug 2003
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Handle: RePEc:mit:sloanp:3540

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Postal: MASSACHUSETTS INSTITUTE OF TECHNOLOGY (MIT), SLOAN SCHOOL OF MANAGEMENT, 50 MEMORIAL DRIVE CAMBRIDGE MASSACHUSETTS 02142 USA
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Postal: MASSACHUSETTS INSTITUTE OF TECHNOLOGY (MIT), SLOAN SCHOOL OF MANAGEMENT, 50 MEMORIAL DRIVE CAMBRIDGE MASSACHUSETTS 02142 USA

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Related research
Keywords: Portfolio Choice; Duality; Dynamic Programming; Constraints; Monte Carlo; Simulation;

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