Time-consistency in the mean-variance problem: A new perspective

Fuente: arXiv
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Autori principali: Bäuerle, Nicole, Jaśkiewicz, Anna
Natura: Preprint
Pubblicazione: 2023
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author Bäuerle, Nicole
Jaśkiewicz, Anna
author_facet Bäuerle, Nicole
Jaśkiewicz, Anna
contents We investigate discrete-time mean-variance portfolio selection problems viewed as a Markov decision process. We transform the problems into a new model with deterministic transition function for which the Bellman optimality equation holds. In this way, we can solve the problem recursively and obtain a time-consistent solution, that is an optimal solution that meets the Bellman optimality principle. We apply our technique for solving explicitly a more general framework.
format Preprint
id arxiv_https___arxiv_org_abs_2301_11218
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Time-consistency in the mean-variance problem: A new perspective
Bäuerle, Nicole
Jaśkiewicz, Anna
Optimization and Control
90C40
We investigate discrete-time mean-variance portfolio selection problems viewed as a Markov decision process. We transform the problems into a new model with deterministic transition function for which the Bellman optimality equation holds. In this way, we can solve the problem recursively and obtain a time-consistent solution, that is an optimal solution that meets the Bellman optimality principle. We apply our technique for solving explicitly a more general framework.
title Time-consistency in the mean-variance problem: A new perspective
topic Optimization and Control
90C40
url https://arxiv.org/abs/2301.11218