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Higher order moments of the estimated tangency portfolio weights

Authors :
Javed, Farrukh
Mazur, Stepan
Ngailo, Edward
Javed, Farrukh
Mazur, Stepan
Ngailo, Edward
Publication Year :
2021

Abstract

In this paper, we consider the estimated weights of the tangency portfolio. We derive analytical expressions for the higher order non-central and central moments of these weights when the returns are assumed to be independently and multivariate normally distributed. Moreover, the expressions for mean, variance, skewness and kurtosis of the estimated weights are obtained in closed forms. Later, we complement our results with a simulation study where data from the multivariate normal and t-distributions are simulated, and the first four moments of estimated weights are computed by using the Monte Carlo experiment. It is noteworthy to mention that the distributional assumption of returns is found to be important, especially for the first two moments. Finally, through an empirical illustration utilizing returns of four financial indices listed in NASDAQ stock exchange, we observe the presence of time dynamics in higher moments.<br />Funding Agencies|Orebro University; Jan Wallander and Tom Hedelius Foundation [P18-0201]

Details

Database :
OAIster
Notes :
application/pdf, English
Publication Type :
Electronic Resource
Accession number :
edsoai.on1234734980
Document Type :
Electronic Resource
Full Text :
https://doi.org/10.1080.02664763.2020.1736523