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We propose a new `hedged' Monte-Carlo (HMC) method to price financial derivatives, which allows to determine simultaneously the optimal hedge. The inclusion of the optimal hedging strategy allows one to reduce the financial risk associated…

Condensed Matter · Physics 2007-05-23 Marc Potters , Jean-Philippe Bouchaud , Dragan Sestovic

We consider robust pricing and hedging for options written on multiple assets given market option prices for the individual assets. The resulting problem is called the multi-marginal martingale optimal transport problem. We propose two…

Probability · Mathematics 2020-10-08 Stephan Eckstein , Gaoyue Guo , Tongseok Lim , Jan Obloj

This work focuses on the dynamic hedging of financial derivatives, where a reinforcement learning algorithm is designed to minimize the variance of the delta hedging process. In contrast to previous research in this area, we apply…

Optimization and Control · Mathematics 2023-06-21 Cong Zheng , Jiafa He , Can Yang

Current approaches to fair valuation in insurance often follow a two-step approach, combining quadratic hedging with application of a risk measure on the residual liability, to obtain a cost-of-capital margin. In such approaches, the…

Risk Management · Quantitative Finance 2023-06-22 Karim Barigou , Valeria Bignozzi , Andreas Tsanakas

The valuation of over-the-counter derivatives is subject to a series of valuation adjustments known as xVA, which pose additional risks for financial institutions. Associated risk measures, such as the value-at-risk of an underlying…

Computational Finance · Quantitative Finance 2024-05-24 Michael B. Giles , Abdul-Lateef Haji-Ali , Jonathan Spence

Building the future profit and loss (P&L) distribution of a portfolio holding, among other assets, highly non-linear and path-dependent derivatives is a challenging task. We provide a simple machinery where more and more assets could be…

Risk Management · Quantitative Finance 2020-08-28 Pietro Rossi , Flavio Cocco , Giacomo Bormetti

We propose a versatile Monte-Carlo method for pricing and hedging options when the market is incomplete, for an arbitrary risk criterion (chosen here to be the expected shortfall), for a large class of stochastic processes, and in the…

Condensed Matter · Physics 2007-05-23 Benoît Pochart , Jean-Philippe Bouchaud

This paper shows how reinforcement learning can be used to derive optimal hedging strategies for derivatives when there are transaction costs. The paper illustrates the approach by showing the difference between using delta hedging and…

Computational Finance · Quantitative Finance 2021-03-31 Jay Cao , Jacky Chen , John Hull , Zissis Poulos

We consider in this paper some structured financial products, known as reverse convertible notes, that resulted in substantial losses to certain buyers of these notes in recent years. We shall focus on specific reverse convertible notes…

Statistical Finance · Quantitative Finance 2018-04-04 Gilna K. Samuel , Donald St. P. Richards

With the rapid development of artificial intelligence, data-driven methods effectively overcome limitations in traditional portfolio optimization. Conventional models primarily employ long-only mechanisms, excluding highly correlated assets…

Computational Finance · Quantitative Finance 2025-03-18 Gang Huang , Xiaohua Zhou , Qingyang Song

This study presents a deep reinforcement learning approach for global hedging of long-term financial derivatives. A similar setup as in Coleman et al. (2007) is considered with the risk management of lookback options embedded in guarantees…

Risk Management · Quantitative Finance 2020-07-31 Alexandre Carbonneau

We propose a new risk sensitive reinforcement learning approach for the dynamic hedging of options. The approach focuses on the minimization of the tail risk of the final P&L of the seller of an option. Different from most existing…

Risk Management · Quantitative Finance 2024-11-15 Xianhua Peng , Xiang Zhou , Bo Xiao , Yi Wu

We introduce a stacking version of the Monte Carlo algorithm in the context of option pricing. Introduced recently for aeronautic computations, this simple technique, in the spirit of current machine learning ideas, learns control variates…

Computational Finance · Quantitative Finance 2019-03-27 Antoine Jacquier , Emma R. Malone , Mugad Oumgari

This paper presents a data-driven interpretable machine learning algorithm for semi-static hedging of Exchange Traded options, considering transaction costs with efficient run-time. Further, we provide empirical evidence on the performance…

Computational Finance · Quantitative Finance 2024-01-03 Vikranth Lokeshwar Dhandapani , Shashi Jain

Dynamic hedging is the practice of periodically transacting financial instruments to offset the risk caused by an investment or a liability. Dynamic hedging optimization can be framed as a sequential decision problem; thus, Reinforcement…

Computational Finance · Quantitative Finance 2024-02-26 Andrei Neagu , Frédéric Godin , Clarence Simard , Leila Kosseim

Recent developments in deep learning techniques have motivated intensive research in machine learning-aided stock trading strategies. However, since the financial market has a highly non-stationary nature hindering the application of…

Portfolio Management · Quantitative Finance 2020-12-15 Kentaro Imajo , Kentaro Minami , Katsuya Ito , Kei Nakagawa

This article presents a deep reinforcement learning approach to price and hedge financial derivatives. This approach extends the work of Guo and Zhu (2017) who recently introduced the equal risk pricing framework, where the price of a…

Computational Finance · Quantitative Finance 2020-06-09 Alexandre Carbonneau , Frédéric Godin

How to hedge factor risks without knowing the identities of the factors? We first prove a general theoretical result: even if the exact set of factors cannot be identified, any risky asset can use some portfolio of similar peer assets to…

Statistical Finance · Quantitative Finance 2021-03-19 Raymond C. W. Leung , Yu-Man Tam

Utility based methods provide a very general theoretically consistent approach to pricing and hedging of securities in incomplete financial markets. Solving problems in the utility based framework typically involves dynamic programming,…

Probability · Mathematics 2008-12-10 M. R. Grasselli , T. R. Hurd

We present a general framework for portfolio risk management in discrete time, based on a replicating martingale. This martingale is learned from a finite sample in a supervised setting. The model learns the features necessary for an…

Risk Management · Quantitative Finance 2022-05-09 Lucio Fernandez-Arjona , Damir Filipović