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Abstract This paper proposes a novel approach to Bermudan swaption hedging by applying the deep hedging framework to address limitations of traditional arbitrage-free methods. Conventional methods assume ideal conditions, such as zero…

Computational Finance · Quantitative Finance 2024-11-18 Kenjiro Oya

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 present a novel synthesis of Fisher information and asset pricing theory that yields a practical method for reconstructing the probability density implicit in security prices. The Fisher information approach to these inverse problems…

Statistical Mechanics · Physics 2008-12-10 Raymond J. Hawkins , B. Roy Frieden

We extend the Q-learner in Black-Scholes (QLBS) framework by incorporating risk aversion and trading costs, and propose a novel Replication Learning of Option Pricing (RLOP) approach. Both methods are fully compatible with standard…

Pricing of Securities · Quantitative Finance 2026-01-06 Ziheng Chen , Minxuan Hu , Jiayu Yi , Wenxi Sun

In this paper we formulate a regression problem to predict realized volatility by using option price data and enhance VIX-styled volatility indices' predictability and liquidity. We test algorithms including regularized regression and…

Mathematical Finance · Quantitative Finance 2019-09-24 Peter Carr , Liuren Wu , Zhibai Zhang

We propose a fast and flexible method to scale multivariate return volatility predictions up to high-dimensions using a dynamic risk factor model. Our approach increases parsimony via time-varying sparsity on factor loadings and is able to…

Statistical Finance · Quantitative Finance 2021-11-15 Bruno P. C. Levy , Hedibert F. Lopes

We develop a model for indifference pricing in derivatives markets where price quotes have bid-ask spreads and finite quantities. The model quantifies the dependence of the prices and hedging portfolios on an investor's beliefs, risk…

Pricing of Securities · Quantitative Finance 2018-03-08 John Armstrong , Teemu Pennanen , Udomsak Rakwongwan

Portfolio allocation is crucial for investment companies. However, getting the best strategy in a complex and dynamic stock market is challenging. In this paper, we propose a novel Adaptive Deep Deterministic Reinforcement Learning scheme…

Statistical Finance · Quantitative Finance 2019-07-03 Xinyi Li , Yinchuan Li , Yuancheng Zhan , Xiao-Yang Liu

Stock portfolio optimization is the process of constant re-distribution of money to a pool of various stocks. In this paper, we will formulate the problem such that we can apply Reinforcement Learning for the task properly. To maintain a…

Machine Learning · Computer Science 2020-12-14 Le Trung Hieu

We examine the possibility of incorporating information or views of market movements during the holding period of a portfolio, in the hedging of European options with respect to the underlying. Given a fixed holding period interval, we…

Mathematical Finance · Quantitative Finance 2015-10-23 Antoine E. Zambelli

Shorting for hedging exposes to risk when the market dynamics is uncertain. Managing uncertainty and risk exposure is key in portfolio management practice. This paper develops a robust framework for dynamic minimum-variance hedging that…

Risk Management · Quantitative Finance 2026-04-03 Adele Ravagnani , Mattia Chiappari , Andrea Flori , Piero Mazzarisi , Marco Patacca

Volatility forecasts play a central role among equity risk measures. Besides traditional statistical models, modern forecasting techniques based on machine learning can be employed when treating volatility as a univariate, daily…

Risk Management · Quantitative Finance 2024-08-09 Fernando Moreno-Pino , Stefan Zohren

The volatility fitting is one of the core problems in the equity derivatives business. Through a set of deterministic rules, the degrees of freedom in the implied volatility surface encoding (parametrization, density, diffusion) are…

Computational Finance · Quantitative Finance 2024-10-16 Emmanuel Gnabeyeu , Omar Karkar , Imad Idboufous

In this work, we design a machine learning based method, online adaptive primal support vector regression (SVR), to model the implied volatility surface (IVS). The algorithm proposed is the first derivation and implementation of an online…

Machine Learning · Statistics 2018-06-08 Yaxiong Zeng , Diego Klabjan

The report presents with the development and optimisation of an enhanced algorithmic trading strategy through the use of historical S&P 500 market data and earnings call sentiment analysis. The proposed strategy integrates various technical…

Artificial Intelligence · Computer Science 2026-03-24 Owen Nyo Wei Yuan , Victor Tan Jia Xuan , Ong Jun Yao Fabian , Ryan Tan Jun Wei

Measuring beliefs about natural disasters is challenging. Deep out-of-the-money options allow investors to hedge at a range of strikes and time horizons, thus the 3-dimensional surface of firm-level option prices provides information on (i)…

General Economics · Economics 2022-08-16 Amine Ouazad

Extracting implied information, like volatility and/or dividend, from observed option prices is a challenging task when dealing with American options, because of the computational costs needed to solve the corresponding mathematical problem…

Computational Finance · Quantitative Finance 2020-02-05 Shuaiqiang Liu , Álvaro Leitao , Anastasia Borovykh , Cornelis W. Oosterlee

We develop a deep reinforcement learning framework for dynamic portfolio optimization that combines a Dirichlet policy with cross-sectional attention mechanisms. The Dirichlet formulation ensures that portfolio weights are always feasible,…

Computational Engineering, Finance, and Science · Computer Science 2025-10-09 Pei Xue , Yuanchun Ye

We develop a tractable and flexible approach for incorporating side information into dynamic optimization under uncertainty. The proposed framework uses predictive machine learning methods (such as $k$-nearest neighbors, kernel regression,…

Optimization and Control · Mathematics 2020-07-23 Dimitris Bertsimas , Christopher McCord , Bradley Sturt

In this chapter we first briefly review the existing approaches to hedging in rough volatility models. Next, we present a simple but general result which shows that in a one-factor rough stochastic volatility model, any option may be…

Mathematical Finance · Quantitative Finance 2021-05-11 Masaaki Fukasawa , Blanka Horvath , Peter Tankov
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