Optimal Portfolio Allocation under a Probabilistic Risk Constraint and the Incentives for Financial Innovation

Jon Danielsson, Bjørn Jørgensen, Casper de Vries and Xiaogang Yang
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Xiaogang Yang: Chinese Academy of Sciences

No 01-069/2, Tinbergen Institute Discussion Papers from Tinbergen Institute

Abstract: We characterize the investor’s optimal portfolio allocation subject to a budget constraint and a probabilistic VaR constraint in complete markets environments with a finite number of states. The set of feasible portfolios might no longer be connected or convex, while the number of local optima increases exponentially with the number of states, implying computational complexity. The optimal constrained portfolio allocation may therefore not be monotonic in the state–price density. We propose a type of financial innovation, which splits states of nature, that is shown to weakly enhance welfare, restore monotonicity of the optimal portfolio allocation in the state-price density, and reduce computational complexity.

This discussion paper resulted in a publication in Annals of Finance , 2008, 4(3), 345-67.

Keywords: Portfolio Optimization; Value-at-Risk; NP-hard (search for similar items in EconPapers)
JEL-codes: G11 (search for similar items in EconPapers)
Date: 2001-07-19
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:tin:wpaper:20010069

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