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Review of Financial Studies Vol. 20 No. 1 2007

Portfolio Selection in Stochastic Environments

Jun Liu

University of California San Diego

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.

DOI
10.1093/rfs/hhl001
Volume
20
Issue
1
Pages
1-39
Language
en
Sources
openalex crossref

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