Deep Bellman Hedging

Fuente: arXiv
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Autores principales: Buehler, Hans, Murray, Phillip, Wood, Ben
Formato: Preprint
Publicado: 2022
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author Buehler, Hans
Murray, Phillip
Wood, Ben
author_facet Buehler, Hans
Murray, Phillip
Wood, Ben
contents We present an actor-critic-type reinforcement learning algorithm for solving the problem of hedging a portfolio of financial instruments such as securities and over-the-counter derivatives using purely historic data. The key characteristics of our approach are: the ability to hedge with derivatives such as forwards, swaps, futures, options; incorporation of trading frictions such as trading cost and liquidity constraints; applicability for any reasonable portfolio of financial instruments; realistic, continuous state and action spaces; and formal risk-adjusted return objectives. Most importantly, the trained model provides an optimal hedge for arbitrary initial portfolios and market states without the need for re-training. We also prove existence of finite solutions to our Bellman equation, and show the relation to our vanilla Deep Hedging approach
format Preprint
id arxiv_https___arxiv_org_abs_2207_00932
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Deep Bellman Hedging
Buehler, Hans
Murray, Phillip
Wood, Ben
Computational Finance
Statistical Finance
We present an actor-critic-type reinforcement learning algorithm for solving the problem of hedging a portfolio of financial instruments such as securities and over-the-counter derivatives using purely historic data. The key characteristics of our approach are: the ability to hedge with derivatives such as forwards, swaps, futures, options; incorporation of trading frictions such as trading cost and liquidity constraints; applicability for any reasonable portfolio of financial instruments; realistic, continuous state and action spaces; and formal risk-adjusted return objectives. Most importantly, the trained model provides an optimal hedge for arbitrary initial portfolios and market states without the need for re-training. We also prove existence of finite solutions to our Bellman equation, and show the relation to our vanilla Deep Hedging approach
title Deep Bellman Hedging
topic Computational Finance
Statistical Finance
url https://arxiv.org/abs/2207.00932