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Do Asset-Demand Functions Optimize over the Mean and Variance of Real Returns? A Six-Currency Test / Jeffrey A. Frankel, Charles Engel.

By: Contributor(s): Material type: TextTextSeries: Working Paper Series (National Bureau of Economic Research) ; no. w1051.Publication details: Cambridge, Mass. National Bureau of Economic Research 1982.Description: 1 online resource: illustrations (black and white)Subject(s): Online resources: Available additional physical forms:
  • Hardcopy version available to institutional subscribers
Abstract: International asset demands are functions of expected returns.Optimal portfolio theory tells us that the coefficients in this relationship depend on the variance-covariance matrix of real returns.But previous estimates of the optimal portfolio (1) assume expected returns constant and (2) are not set up to test the hypothesis of mean-variance optimization. We use maximum likelihood estimation to impose a constraint between the coefficients and the error variance-covariance matrix. For a portfolio of six currencies, we are able statistically to reject the constraint. Evidently investors are either not sophisticated enough to maximize a function of the mean and variance of end-of-period wealth, or else are too sophisticated to do so.
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December 1982.

International asset demands are functions of expected returns.Optimal portfolio theory tells us that the coefficients in this relationship depend on the variance-covariance matrix of real returns.But previous estimates of the optimal portfolio (1) assume expected returns constant and (2) are not set up to test the hypothesis of mean-variance optimization. We use maximum likelihood estimation to impose a constraint between the coefficients and the error variance-covariance matrix. For a portfolio of six currencies, we are able statistically to reject the constraint. Evidently investors are either not sophisticated enough to maximize a function of the mean and variance of end-of-period wealth, or else are too sophisticated to do so.

Hardcopy version available to institutional subscribers

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