A deep learning algorithm for optimal investment strategies
Portfolio Management
2021-02-01 v1 Mathematical Finance
Abstract
This paper treats the Merton problem how to invest in safe assets and risky assets to maximize an investor's utility, given by investment opportunities modeled by a -dimensional state process. The problem is represented by a partial differential equation with optimizing term: the Hamilton-Jacobi-Bellman equation. The main purpose of this paper is to solve partial differential equations derived from the Hamilton-Jacobi-Bellman equations with a deep learning algorithm: the Deep Galerkin method, first suggested by Sirignano and Spiliopoulos (2018). We then apply the algorithm to get the solution of the PDE based on some model settings and compare with the one from the finite difference method.
Cite
@article{arxiv.2101.12387,
title = {A deep learning algorithm for optimal investment strategies},
author = {Daeyung Gim and Hyungbin Park},
journal= {arXiv preprint arXiv:2101.12387},
year = {2021}
}