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- W4298104270 abstract "The asymptotic distribution of the Markowitz portfolio is derived, for the general case (assuming fourth moments of returns exist), and for the case of multivariate normal returns. The derivation allows for inference which is robust to heteroskedasticity and autocorrelation of moments up to order four. As a side effect, one can estimate the proportion of error in the Markowitz portfolio due to mis-estimation of the covariance matrix. A likelihood ratio test is given which generalizes Dempster's Covariance Selection test to allow inference on linear combinations of the precision matrix and the Markowitz portfolio. Extensions of the main method to deal with hedged portfolios, conditional heteroskedasticity, conditional expectation, and constrained estimation are given. It is shown that the Hotelling-Lawley statistic generalizes the (squared) Sharpe ratio under the conditional expectation model. Asymptotic distributions of all four of the common `MGLH' statistics are found, assuming random covariates. Examples are given demonstrating the possible uses of these results." @default.
- W4298104270 created "2022-10-01" @default.
- W4298104270 creator A5032511856 @default.
- W4298104270 date "2013-12-02" @default.
- W4298104270 modified "2023-09-29" @default.
- W4298104270 title "Asymptotic distribution of the Markowitz portfolio" @default.
- W4298104270 doi "https://doi.org/10.48550/arxiv.1312.0557" @default.
- W4298104270 hasPublicationYear "2013" @default.
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