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The approach that allows find European option price on the assumption of hedging at discrete times is proposed. The routine allows find the option price not for lognormal distribution functions of underlying asset only but for wide enough…

Probability · Mathematics 2008-12-02 D. E. Yakovlev , D. N. Zhabin

Reinforcement learning serves as a potent tool for modeling dynamic user interests within recommender systems, garnering increasing research attention of late. However, a significant drawback persists: its poor data efficiency, stemming…

Information Retrieval · Computer Science 2023-08-23 Xiaocong Chen , Siyu Wang , Julian McAuley , Dietmar Jannach , Lina Yao

We investigate whether it is possible to formulate option pricing and hedging models without using probability. We present a model that is consistent with two notions of volatility: a historical volatility consistent with statistical…

Pricing of Securities · Quantitative Finance 2021-08-10 Damiano Brigo

Model-free reinforcement learning based methods such as Proximal Policy Optimization, or Q-learning typically require thousands of interactions with the environment to approximate the optimum controller which may not always be feasible in…

Machine Learning · Computer Science 2019-05-16 Narendra Patwardhan , Zequn Wang

Deep hedging is a deep-learning-based framework for derivative hedging in incomplete markets. The advantage of deep hedging lies in its ability to handle various realistic market conditions, such as market frictions, which are challenging…

Computational Finance · Quantitative Finance 2023-07-26 Masanori Hirano , Kentaro Minami , Kentaro Imajo

We develop a portfolio allocation framework that leverages deep learning techniques to address challenges arising from high-dimensional, non-stationary, and low-signal-to-noise market information. Our approach includes a dynamic embedding…

Portfolio Management · Quantitative Finance 2025-01-31 Jinghai He , Cheng Hua , Chunyang Zhou , Zeyu Zheng

The option pricing formula of Black and Scholes (1973) hinges on the continuous-time self-financing condition, which is a special case of the continuous-time budget equation of Merton (1971). The self-financing condition is believed to…

Pricing of Securities · Quantitative Finance 2024-10-22 Mark Mink , Frans J. de Weert

Artificial intelligence is transforming financial investment decision-making frameworks, with deep reinforcement learning demonstrating substantial potential in robo-advisory applications. This paper addresses the limitations of traditional…

Portfolio Management · Quantitative Finance 2025-02-24 Gang Huang , Xiaohua Zhou , Qingyang Song

We propose three different data-driven approaches for pricing European-style call options using supervised machine-learning algorithms. These approaches yield models that give a range of fair prices instead of a single price point. The…

Statistical Finance · Quantitative Finance 2020-12-08 Anindya Goswami , Sharan Rajani , Atharva Tanksale

A paradigmatic algorithm for online learning is the Hedge algorithm by Freund and Schapire. An allocation into different strategies is chosen for multiple rounds and each round incurs corresponding losses for each strategy. The algorithm…

Quantum Physics · Physics 2021-02-03 Patrick Rebentrost , Yassine Hamoudi , Maharshi Ray , Xin Wang , Siyi Yang , Miklos Santha

This scientific paper propose a novel portfolio optimization model using an improved deep reinforcement learning algorithm. The objective function of the optimization model is the weighted sum of the expectation and value at risk(VaR) of…

Machine Learning · Computer Science 2022-08-30 Boyi Jin

We explore the use of deep reinforcement learning to provide strategies for long term scheduling of hydropower production. We consider a use-case where the aim is to optimise the yearly revenue given week-by-week inflows to the reservoir…

Machine Learning · Computer Science 2020-12-14 Signe Riemer-Sorensen , Gjert H. Rosenlund

This paper introduced key aspects of applying Machine Learning (ML) models, improved trading strategies, and the Quasi-Reversibility Method (QRM) to optimize stock option forecasting and trading results. It presented the findings of the…

Computational Finance · Quantitative Finance 2022-11-30 Zheng Cao , Raymond Guo , Wenyu Du , Jiayi Gao , Kirill V. Golubnichiy

This study presents a novel computer system performance optimization and adaptive workload management scheduling algorithm based on Q-learning. In modern computing environments, characterized by increasing data volumes, task complexity, and…

Machine Learning · Computer Science 2024-11-11 Pochun Li , Yuyang Xiao , Jinghua Yan , Xuan Li , Xiaoye Wang

In this paper we provide a quantum Monte Carlo algorithm to solve multidimensional Black-Scholes PDEs with correlation for option pricing. The payoff function of the option is of general form and is only required to be continuous and…

Quantum Physics · Physics 2026-05-05 Jianjun Chen , Yongming Li , Ariel Neufeld

Reinforcement learning agents for portfolio management are typically trained and deployed as static policies, with no mechanism for using price forecasts at inference time. We propose $\text{FPILOT}$ (**Fin**ancial **P**lugin…

Machine Learning · Computer Science 2026-05-14 Eun Go , Rohan Deb , Arindam Banerjee

Stochastic control with both inherent random system noise and lack of knowledge on system parameters constitutes the core and fundamental topic in reinforcement learning (RL), especially under non-episodic situations where online learning…

Systems and Control · Electrical Eng. & Systems 2019-06-24 Xin Huang , Duan Li , Daniel Zhuoyu Long

Hedging a portfolio containing autocallable notes presents unique challenges due to the complex risk profile of these financial instruments. In addition to hedging, pricing these notes, particularly when multiple underlying assets are…

Computational Engineering, Finance, and Science · Computer Science 2024-11-05 Anil Sharma , Freeman Chen , Jaesun Noh , Julio DeJesus , Mario Schlener

Reinforcement learning (RL) is a promising approach for deriving control policies for complex systems. As we show in two control problems, the derived policies from using the Proximal Policy Optimization (PPO) and Deep Q-Network (DQN)…

Machine Learning · Computer Science 2022-04-05 Jan de Priester , Ricardo G. Sanfelice , Nathan van de Wouw

With the development of artificial intelligence technology, quantitative trading systems represented by reinforcement learning have emerged in the stock trading market. The authors combined the deep Q network in reinforcement learning with…

Statistical Finance · Quantitative Finance 2021-12-01 Yizhuo Li , Peng Zhou , Fangyi Li , Xiao Yang
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