Gamma and vega hedging using deep distributional reinforcement learning

We show how reinforcement learning can be used in conjunction with quantile regression to develop a hedging strategy for a trader responsible for derivatives that arrive stochastically and depend on a single underlying asset. We assume that the trader makes the portfolio delta-neutral at the end of...

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Main Authors: Jay Cao, Jacky Chen, Soroush Farghadani, John Hull, Zissis Poulos, Zeyu Wang, Jun Yuan
Format: Article
Language:English
Published: Frontiers Media S.A. 2023-02-01
Series:Frontiers in Artificial Intelligence
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/frai.2023.1129370/full
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author Jay Cao
Jacky Chen
Soroush Farghadani
John Hull
Zissis Poulos
Zeyu Wang
Jun Yuan
author_facet Jay Cao
Jacky Chen
Soroush Farghadani
John Hull
Zissis Poulos
Zeyu Wang
Jun Yuan
author_sort Jay Cao
collection DOAJ
description We show how reinforcement learning can be used in conjunction with quantile regression to develop a hedging strategy for a trader responsible for derivatives that arrive stochastically and depend on a single underlying asset. We assume that the trader makes the portfolio delta-neutral at the end of each day by taking a position in the underlying asset. We focus on how trades in options can be used to manage gamma and vega. The option trades are subject to transaction costs. We consider three different objective functions. We reach conclusions on how the optimal hedging strategy depends on the trader's objective function, the level of transaction costs, and the maturity of the options used for hedging. We also investigate the robustness of the hedging strategy to the process assumed for the underlying asset.
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spelling doaj.art-e6ec3324d6994697b2efba26803914cb2023-02-22T08:24:55ZengFrontiers Media S.A.Frontiers in Artificial Intelligence2624-82122023-02-01610.3389/frai.2023.11293701129370Gamma and vega hedging using deep distributional reinforcement learningJay Cao0Jacky Chen1Soroush Farghadani2John Hull3Zissis Poulos4Zeyu Wang5Jun Yuan6Joseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaJoseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaDepartment of Computer Science, University of Toronto, Toronto, ON, CanadaJoseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaJoseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaJoseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaJoseph L. Rotman School of Management, University of Toronto, Toronto, ON, CanadaWe show how reinforcement learning can be used in conjunction with quantile regression to develop a hedging strategy for a trader responsible for derivatives that arrive stochastically and depend on a single underlying asset. We assume that the trader makes the portfolio delta-neutral at the end of each day by taking a position in the underlying asset. We focus on how trades in options can be used to manage gamma and vega. The option trades are subject to transaction costs. We consider three different objective functions. We reach conclusions on how the optimal hedging strategy depends on the trader's objective function, the level of transaction costs, and the maturity of the options used for hedging. We also investigate the robustness of the hedging strategy to the process assumed for the underlying asset.https://www.frontiersin.org/articles/10.3389/frai.2023.1129370/fullderivativeshedginggammavegadelta-neutralreinforcement learning
spellingShingle Jay Cao
Jacky Chen
Soroush Farghadani
John Hull
Zissis Poulos
Zeyu Wang
Jun Yuan
Gamma and vega hedging using deep distributional reinforcement learning
Frontiers in Artificial Intelligence
derivatives
hedging
gamma
vega
delta-neutral
reinforcement learning
title Gamma and vega hedging using deep distributional reinforcement learning
title_full Gamma and vega hedging using deep distributional reinforcement learning
title_fullStr Gamma and vega hedging using deep distributional reinforcement learning
title_full_unstemmed Gamma and vega hedging using deep distributional reinforcement learning
title_short Gamma and vega hedging using deep distributional reinforcement learning
title_sort gamma and vega hedging using deep distributional reinforcement learning
topic derivatives
hedging
gamma
vega
delta-neutral
reinforcement learning
url https://www.frontiersin.org/articles/10.3389/frai.2023.1129370/full
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AT johnhull gammaandvegahedgingusingdeepdistributionalreinforcementlearning
AT zissispoulos gammaandvegahedgingusingdeepdistributionalreinforcementlearning
AT zeyuwang gammaandvegahedgingusingdeepdistributionalreinforcementlearning
AT junyuan gammaandvegahedgingusingdeepdistributionalreinforcementlearning