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Main Authors: Gordienko, Evgueni, Hernández Iglesias, Adolfo
Format: Recurso digital
Language:English
Published: Zenodo 2025
Subjects:
Online Access:https://doi.org/10.5281/zenodo.19545802
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author Gordienko, Evgueni
Hernández Iglesias, Adolfo
author_facet Gordienko, Evgueni
Hernández Iglesias, Adolfo
contents <p>This brief paper discusses the problem of long-term optimal consumption and investment. The corresponding model is formulated in terms of a discrete-time Markov control process. Rather than being concerned with the optimization of portfolio strategies, we are dealing with the accuracy of approximating the original control process with its deterministic version. In the case of small variances of returns on risky assets, we prove an inequality that gives an upper bound on the decrease in expected utility when implementing the approximation.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19545802
institution Zenodo
language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle On the accuracy of the deterministic approximation of the Markov model of investment and consumption optimization
Gordienko, Evgueni
Hernández Iglesias, Adolfo
Optimal investment and consumption policy
Markov control process
Deterministic approximation of a process
Upper bound of the stability index
<p>This brief paper discusses the problem of long-term optimal consumption and investment. The corresponding model is formulated in terms of a discrete-time Markov control process. Rather than being concerned with the optimization of portfolio strategies, we are dealing with the accuracy of approximating the original control process with its deterministic version. In the case of small variances of returns on risky assets, we prove an inequality that gives an upper bound on the decrease in expected utility when implementing the approximation.</p>
title On the accuracy of the deterministic approximation of the Markov model of investment and consumption optimization
topic Optimal investment and consumption policy
Markov control process
Deterministic approximation of a process
Upper bound of the stability index
url https://doi.org/10.5281/zenodo.19545802