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Using neural networks, we compute bounds on the prices of multi-asset derivatives given information on prices of related payoffs. As a main example, we focus on European basket options and include information on the prices of other similar…

Computational Finance · Quantitative Finance 2020-11-03 Luca De Gennaro Aquino , Carole Bernard

We propose a novel computational procedure for quadratic hedging in high-dimensional incomplete markets, covering mean-variance hedging and local risk minimization. Starting from the observation that both quadratic approaches can be treated…

Computational Finance · Quantitative Finance 2024-11-25 Alessandro Gnoatto , Silvia Lavagnini , Athena Picarelli

The challenges of using inadequate online recruitment systems can be addressed with machine learning and software engineering techniques. Bi-directional personalization reinforcement learning-based architecture with active learning can get…

Information Retrieval · Computer Science 2023-04-04 Ezana N. Beyenne

We develop a novel deep learning approach for pricing European options in diffusion models, that can efficiently handle high-dimensional problems resulting from Markovian approximations of rough volatility models. The option pricing partial…

Computational Finance · Quantitative Finance 2025-04-04 Antonis Papapantoleon , Jasper Rou

Expanding the ideas of the author's paper 'Nonexpansive maps and option pricing theory' (Kibernetica 34:6 (1998), 713-724) we develop a pure game-theoretic approach to option pricing, by-passing stochastic modeling. Risk neutral…

Optimization and Control · Mathematics 2022-05-03 Vassili Kolokoltsov

American and Bermudan-type financial instruments are often priced with specific Monte Carlo techniques whose efficiency critically depends on the effective dimensionality of the problem and the available computational power. In our work we…

Pricing of Securities · Quantitative Finance 2021-05-04 Riccardo Aiolfi , Nicola Moreni , Marco Bianchetti , Marco Scaringi , Filippo Fogliani

We study the problem of collaborative machine learning markets where multiple parties can achieve improved performance on their machine learning tasks by combining their training data. We discuss desired properties for these machine…

Computer Science and Game Theory · Computer Science 2019-11-21 Olga Ohrimenko , Shruti Tople , Sebastian Tschiatschek

American options are studied in a general discrete market in the presence of proportional transaction costs, modelled as bid-ask spreads. Pricing algorithms and constructions of hedging strategies, stopping times and martingale…

Pricing of Securities · Quantitative Finance 2008-12-02 Alet Roux , Tomasz Zastawniak

We analyze approximation rates by deep ReLU networks of a class of multi-variate solutions of Kolmogorov equations which arise in option pricing. Key technical devices are deep ReLU architectures capable of efficiently approximating tensor…

Functional Analysis · Mathematics 2021-10-12 Dennis Elbrächter , Philipp Grohs , Arnulf Jentzen , Christoph Schwab

This paper presents a multinomial method for option pricing when the underlying asset follows an exponential Variance Gamma process. The continuous time Variance Gamma process is approximated by a discrete time Markov chain with the same…

Pricing of Securities · Quantitative Finance 2021-06-18 Nicola Cantarutti , João Guerra

Prediction of stock prices plays a significant role in aiding the decision-making of investors. Considering its importance, a growing literature has emerged trying to forecast stock prices with improved accuracy. In this study, we introduce…

Statistical Finance · Quantitative Finance 2023-11-14 Md Sabbirul Haque , Md Shahedul Amin , Jonayet Miah , Duc Minh Cao , Ashiqul Haque Ahmed

In a multi-party machine learning system, different parties cooperate on optimizing towards better models by sharing data in a privacy-preserving way. A major challenge in learning is the incentive issue. For example, if there is…

Multiagent Systems · Computer Science 2020-08-11 Mengjing Chen , Yang Liu , Weiran Shen , Yiheng Shen , Pingzhong Tang , Qiang Yang

This paper presents machine learning techniques and deep reinforcement learningbased algorithms for the efficient resolution of nonlinear partial differential equations and dynamic optimization problems arising in investment decisions and…

Optimization and Control · Mathematics 2021-04-19 Maximilien Germain , Huyên Pham , Xavier Warin

We consider option pricing using replicating binomial trees, with a two fold purpose. The first is to introduce ESG valuation into option pricing. We explore this in a number of scenarios, including enhancement of yield due to trader…

Pricing of Securities · Quantitative Finance 2022-09-15 Yuan Hu , W. Brent Lindquist , Svetlozar T. Rachev

In this paper we explore the usage of deep reinforcement learning algorithms to automatically generate consistently profitable, robust, uncorrelated trading signals in any general financial market. In order to do this, we present a novel…

Computational Finance · Quantitative Finance 2019-12-17 Souradeep Chakraborty

The Artificial Prediction Market is a recent machine learning technique for multi-class classification, inspired from the financial markets. It involves a number of trained market participants that bet on the possible outcomes and are…

Machine Learning · Statistics 2014-08-18 Nathan Lay , Adrian Barbu

A statistical decision problem is hidden in the core of option pricing. A simple form for the price C of a European call option is obtained via the minimum Bayes risk, R_B, of a 2-parameter estimation problem, thus justifying calling C…

Pricing of Securities · Quantitative Finance 2013-04-19 Yannis G. Yatracos

We reconsider the problem of option pricing using historical probability distributions. We first discuss how the risk-minimisation scheme proposed recently is an adequate starting point under the realistic assumption that price increments…

Condensed Matter · Physics 2009-10-31 Jean-Philippe Bouchaud , Marc Potters

In this paper, we study learning-augmented algorithms for the Bahncard problem. The Bahncard problem is a generalization of the ski-rental problem, where a traveler needs to irrevocably and repeatedly decide between a cheap short-term…

Machine Learning · Computer Science 2024-10-22 Hailiang Zhao , Xueyan Tang , Peng Chen , Shuiguang Deng

We propose a mathematical model of momentum risk-taking, which is essentially real-time risk management focused on short-term volatility of stock markets. Its implementation, our fully automated momentum equity trading system presented…

Risk Management · Quantitative Finance 2020-03-18 Ivan Cherednik