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On the cross-sectional distribution of portfolio returns

Abstract : The aim of this paper is to study the distribution of portfolio returns across portfolios, and for given asset returns. We focus on the most common type of investment, considering portfolios whose weights are non-negative and sum up to 1. We provide algorithms and formulas from computational geometry and the literature on splines to compute the exact values of the probability density function, and of the cumulative distribution function, at any point. We also provide closed form solutions for the computation of its first four moments, and an algorithm to compute the higher moments. All algorithms and formulas allow also for equal asset returns.
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https://hal.inria.fr/hal-02398730
Contributor : Ioannis Emiris <>
Submitted on : Monday, December 9, 2019 - 11:06:31 AM
Last modification on : Thursday, November 26, 2020 - 3:50:03 PM
Long-term archiving on: : Tuesday, March 10, 2020 - 1:27:14 PM

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Ludovic Calès, Apostolos Chalkis, Ioannis Z. Emiris. On the cross-sectional distribution of portfolio returns. [Research Report] EU publications. 2019. ⟨hal-02398730⟩

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