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Portfolio Selection in Stochastic Environments

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Author Info
Jun Liu
Abstract

In this article, I explicitly solve dynamic portfolio choice problems, up to the solution of an ordinary differential equation (ODE), when the asset returns are quadratic and the agent has a constant relative risk aversion (CRRA) coefficient. My solution includes as special cases many existing explicit solutions of dynamic portfolio choice problems. I also present three applications that are not in the literature. Application 1 is the bond portfolio selection problem when bond returns are described by "quadratic term structure models." Application 2 is the stock portfolio selection problem when stock return volatility is stochastic as in Heston model. Application 3 is a bond and stock portfolio selection problem when the interest rate is stochastic and stock returns display stochastic volatility. (JEL G11) Copyright 2007, Oxford University Press.

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Article provided by Oxford University Press for Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 20 (2007)
Issue (Month): 1 (January)
Pages: 1-39
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Handle: RePEc:oup:rfinst:v:20:y:2007:i:1:p:1-39

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  1. Basak, Suleyman & Chabakauri, Georgy, 2009. "Dynamic Mean-Variance Asset Allocation," CEPR Discussion Papers 7256, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  2. Liu, Jun & Timmermann, Allan G, 2009. "Risky Arbitrage Strategies: Optimal Portfolio Choice and Economic Implications," CEPR Discussion Papers 7188, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  3. Keita Nakayama & Akihiko Takahashi, 2007. "A Factor Allocation Approach to Optimal Bond Portfolio," Asia-Pacific Financial Markets, Springer, vol. 14(4), pages 299-324, December. [Downloadable!] (restricted)
  4. Xavier Gabaix, 2007. "Linearity-Generating Processes: A Modelling Tool Yielding Closed Forms for Asset Prices," NBER Working Papers 13430, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  5. Alois Geyer & Michael Hanke & Alex Weissensteiner, 2009. "A stochastic programming approach for multi-period portfolio optimization," Computational Management Science, Springer, vol. 6(2), pages 187-208, May. [Downloadable!] (restricted)
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