Correlation Risk and Optimal Portfolio Choice

58 Pages Posted: 14 Jun 2006 Last revised: 16 Feb 2009

See all articles by Andrea Buraschi

Andrea Buraschi

Imperial College Business School; Centre for Economic Policy Research (CEPR)

Paolo Porchia

IE Business School

Fabio Trojani

University of Geneva; University of Turin - Department of Statistics and Applied Mathematics; Swiss Finance Institute

Date Written: May 26, 2006


We develop a new framework for intertemporal portfolio choice when the covariance matrix of returns is stochastic. An important contribution of this framework is that it allows to derive optimal portfolio implications for economies in which the degree of correlation across different industries, countries, and asset classes is time-varying and stochastic. In this setting, markets are incomplete and optimal portfolios include distinct hedging components against both stochastic volatility and correlation risk. The model gives rise to simple optimal portfolio solutions that are available in closed-form. We use these solutions to investigate, in several concrete applications, the properties of the optimal portfolios. We find that the hedging demand is typically four to five times larger than in univariate models and it includes an economically significant correlation hedging component, which tends to increase with the persistence of variance covariance shocks, the strength of leverage effects and the dimension of the investment opportunity set. These findings persist also in the discrete-time portfolio problem with short-selling or VaR constraints.

Keywords: Dynamic Porfolio Choice, Stochastic Correlation, Intertemporal Hedging

JEL Classification: G11, G13

Suggested Citation

Buraschi, Andrea and Porchia, Paolo and Trojani, Fabio, Correlation Risk and Optimal Portfolio Choice (May 26, 2006). AFA 2008 New Orleans Meetings Paper, Available at SSRN: or

Andrea Buraschi

Imperial College Business School ( email )

South Kensington Campus
Exhibition Road
London SW7 2AZ, SW7 2AZ
United Kingdom


Centre for Economic Policy Research (CEPR)

United Kingdom

Paolo Porchia (Contact Author)

IE Business School ( email )

Serrano 99
Madrid, 28006
+34917821706 (Phone)
+34 91 745 47 62 (Fax)


Fabio Trojani

University of Geneva ( email )

Geneva, Geneva

University of Turin - Department of Statistics and Applied Mathematics ( email )

Piazza Arbarello, 8
Turin, I-10122

Swiss Finance Institute ( email )

c/o University of Geneva
40, Bd du Pont-d'Arve
CH-1211 Geneva 4

Do you have a job opening that you would like to promote on SSRN?

Paper statistics

Abstract Views
PlumX Metrics