Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/274600 
Year of Publication: 
2022
Series/Report no.: 
Working Paper No. 15/2022
Publisher: 
Örebro University School of Business, Örebro
Abstract: 
In the paper we consider the optimal portfolio choice problem under parameter uncertainty when the covariance matrix of asset returns is singular. Very useful stochastic representations are deduced for the characteristics of the expected utility optimal portfolio. Using these stochastic representations, we derive the moments of higher order of the estimated expected return and the estimated variance of the expected utility optimal portfolio. Another line of applications leads to their asymptotic distributions obtained in the high-dimensional setting. Via a simulation study, it is shown that the derived high-dimensional asymptotic distributions provide good approximations of the exact ones even for moderate sample sizes.
Subjects: 
singular Wishart distribution
mean-variance portfolio
Moore-Penrose inverse
JEL: 
G11
Document Type: 
Working Paper

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