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Finding the hedge ratios for a portfolio and risk compression is the same mathematical problem. Traditionally, regression is used for this purpose. However, regression has its own limitations. For example, in a regression model, we can't…

Portfolio Management · Quantitative Finance 2023-05-09 Ali Shirazi , Fereshteh Sadeghi Naieni Fard

Can an asset manager plan the optimal timing for her/his hedging strategies given market conditions? The standard approach based on Markowitz or other more or less sophisticated financial rules aims to find the best portfolio allocation…

Portfolio Management · Quantitative Finance 2020-11-10 Eric Benhamou , David Saltiel , Sandrine Ungari , Abhishek Mukhopadhyay

Portfolio optimization involves determining the optimal allocation of portfolio assets in order to maximize a given investment objective. Traditionally, some form of mean-variance optimization is used with the aim of maximizing returns…

Artificial Intelligence · Computer Science 2024-03-26 Fernando Acero , Parisa Zehtabi , Nicolas Marchesotti , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

In this paper, we study the robustness of classical deep hedging strategies under distributional shifts by leveraging the concept of adversarial attacks. We first demonstrate that standard deep hedging models are highly vulnerable to small…

Optimization and Control · Mathematics 2025-10-24 Guangyi He , Tobias Sutter , Lukas Gonon

The construction of replication strategies for contingent claims in the presence of risk and market friction is a key problem of financial engineering. In real markets, continuous replication, such as in the model of Black, Scholes and…

Machine Learning · Computer Science 2023-07-07 Loris Cannelli , Giuseppe Nuti , Marzio Sala , Oleg Szehr

The existing literature on optimal auctions focuses on optimizing the expected revenue of the seller, and is appropriate for risk-neutral sellers. In this paper, we identify good mechanisms for risk-averse sellers. As is standard in the…

Computer Science and Game Theory · Computer Science 2010-04-02 Mukund Sundararajan , Qiqi Yan

We study the optimal portfolio liquidation problem over a finite horizon in a limit order book with bid-ask spread and temporary market price impact penalizing speedy execution trades. We use a continuous-time modeling framework, but in…

Probability · Mathematics 2014-01-10 Idris Kharroubi , Huyen Pham

Quadratic hedging of option payoffs generates the variance optimal martingale measure. When an option features an exercise policy and its cash flows are hedged according to this approach, it may be tempting to optimize such a policy under…

Mathematical Finance · Quantitative Finance 2022-05-26 Nicola Secomandi

All the financial practitioners are working in incomplete markets full of unhedgeable risk-factors. Making the situation worse, they are only equipped with the imperfect information on the relevant processes. In addition to the market risk,…

Computational Finance · Quantitative Finance 2014-07-29 Masaaki Fujii , Akihiko Takahashi

In the context of investment analysis, we formulate an abstract online computing problem called a planning game and develop general tools for solving such a game. We then use the tools to investigate a practical buy-and-hold trading problem…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Gen-Huey Chen , Ming-Yang Kao , Yuh-Dauh Lyuu , Hsing-Kuo Wong

Portfolio Selection is an important real-world financial task and has attracted extensive attention in artificial intelligence communities. This task, however, has two main difficulties: (i) the non-stationary price series and complex asset…

Machine Learning · Computer Science 2020-03-09 Yifan Zhang , Peilin Zhao , Qingyao Wu , Bin Li , Junzhou Huang , Mingkui Tan

This paper addresses the trade-off between internalisation and externalisation in the management of stochastic trade flows. We consider agents who must absorb flows and manage risk by deciding whether to warehouse it or hedge in the market,…

Trading and Market Microstructure · Quantitative Finance 2025-03-05 Philippe Bergault , Olivier Guéant , Hamza Bodor

Portfolio management is a fundamental problem in finance. It involves periodic reallocations of assets to maximize the expected returns within an appropriate level of risk exposure. Deep reinforcement learning (RL) has been considered a…

Computational Finance · Quantitative Finance 2022-10-05 Hui Niu , Siyuan Li , Jian Li

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

In this paper, we focus on finding the optimal hedging strategy of a credit index option using reinforcement learning. We take a practical approach, where the focus is on realism i.e. discrete time, transaction costs; even testing our…

Trading and Market Microstructure · Quantitative Finance 2023-07-20 Francesco Mandelli , Marco Pinciroli , Michele Trapletti , Edoardo Vittori

This study emphasizes how crucial it is to visualize machine learning models, especially for the banking industry, in order to improve interpretability and support predictions in high stakes financial settings. Visual tools enable…

Machine Learning · Computer Science 2025-02-24 Priyam Ganguly , Ramakrishna Garine , Isha Mukherjee

Building on ideas from online convex optimization, we propose a general framework for the design of efficient securities markets over very large outcome spaces. The challenge here is computational. In a complete market, in which one…

Computer Science and Game Theory · Computer Science 2010-11-10 Jacob Abernethy , Yiling Chen , Jennifer Wortman Vaughan

We present a dynamic hedging scheme for S&P 500 options, where rebalancing decisions are enhanced by integrating information about the implied volatility surface dynamics. The optimal hedging strategy is obtained through a deep policy…

Risk Management · Quantitative Finance 2025-08-14 Pascal François , Geneviève Gauthier , Frédéric Godin , Carlos Octavio Pérez Mendoza

This paper proposes a Deep Reinforcement Learning algorithm for financial portfolio trading based on Deep Q-learning. The algorithm is capable of trading high-dimensional portfolios from cross-sectional datasets of any size which may…

Portfolio Management · Quantitative Finance 2021-12-10 Uta Pigorsch , Sebastian Schäfer

We propose a framework, called neural-progressive hedging (NP), that leverages stochastic programming during the online phase of executing a reinforcement learning (RL) policy. The goal is to ensure feasibility with respect to constraints…

Machine Learning · Computer Science 2022-03-01 Supriyo Ghosh , Laura Wynter , Shiau Hong Lim , Duc Thien Nguyen
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