Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/298560 
Year of Publication: 
2023
Series/Report no.: 
Working Paper No. 11/2023
Publisher: 
Örebro University School of Business, Örebro
Abstract: 
In this paper, we propose the test for the location of the tangency portfolio on the set of feasible portfolios when both the population and the sample covariance matrices of asset returns are singular. We derive the exact distribution of the test statistic under both the null and alternative hypotheses. Furthermore, we establish the high-dimensional asymptotic distribution of that test statistic when both the portfolio dimension and the sample size increase to infinity. We complement our theoretical findings by comparing the high-dimensional asymptotic test with an exact finite sample test in the numerical study. A good performance of the obtained results is documented.
Subjects: 
Tangency portfolio
Hypothesis testing
Singular Wishart distribution
Singular covariance matrix
Moore-Penrose inverse
High-dimensional asymptotics
JEL: 
G11
Document Type: 
Working Paper

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