Titre :

A lattice approach to the Beta distribution induced by stochastic dominance: Theory and applications

Auteur(s) :

Braouezec, Yann [Auteur]
Lille économie management - UMR 9221 [LEM]
IÉSEG School Of Management [Puteaux]
Cagnol, John [Auteur]
Université Paris-Saclay
Fédération de Mathématiques de CentraleSupélec [FR3487]
Mathématiques et Informatique pour la Complexité et les Systèmes [MICS]

Titre de la revue :

Journal of the Operational Research Society

Pagination :

1424-1442

Éditeur :

Palgrave Macmillan

Date de publication :

2023-06-03

ISSN :

0160-5682

Discipline(s) HAL :

Mathématiques [math]/Probabilités [math.PR]
Sciences de l'Homme et Société/Economies et finances
Économie et finance quantitative [q-fin]/Gestion des risques [q-fin.RM]

Résumé en anglais : [en]

We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded ...
Lire la suite >We provide a comprehensive analysis of the two-parameter Beta distributions seen from the perspective of second-order stochastic dominance. By changing its parameters through a bijective mapping, we work with a bounded subset D instead of an unbounded plane. We show that a mean-preserving spread is equivalent to an increase of the variance, which means that higher moments are irrelevant to compare the riskiness of Beta distributions. We then derive the lattice structure induced by second-order stochastic dominance, which is feasible thanks to the topological closure of D. Finally, we consider a standard (expected-utility based) portfolio optimization problem in which its inputs are the parameters of the Beta distribution. We explicitly characterize the subset of D for which the optimal solution consists of investing 100% of the wealth in the risky asset and we provide an exhaustive numerical analysis of this optimal solution through (color-coded) graphs.Lire moins >

Langue :

Anglais

Comité de lecture :

Oui

Audience :

Internationale

Vulgarisation :

Non

Collections :

• Lille Économie Management (LEM) - UMR 9221

Source :

Harvested from HAL