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We investigate asymmetry of information in the context of robust approach to pricing and hedging of financial derivatives. We consider two agents, one who only observes the stock prices and another with some additional information, and…

Mathematical Finance · Quantitative Finance 2018-04-02 Anna Aksamit , Zhaoxu Hou , Jan Obłój

This paper presents the solution to a European option pricing problem by considering a regime-switching jump diffusion model of the underlying financial asset price dynamics. The regimes are assumed to be the results of an observed pure…

Pricing of Securities · Quantitative Finance 2019-10-21 Anindya Goswami , Omkar Manjarekar , Anjana R

Financial forecasting plays an important role in making informed decisions for financial stakeholders, specifically in the stock exchange market. In a traditional setting, investors commonly rely on the equity research department for…

Statistical Finance · Quantitative Finance 2024-07-23 Sahar Arshad , Seemab Latif , Ahmad Salman , Rabia Latif

Crude oil is a major component in most advanced economies of the world. Accurately predicting and understanding the behavior of crude oil prices is important for economists, analysts, forecasters, and traders, to name a few. The price of…

Machine Learning · Computer Science 2018-11-26 Ganapathy S. Natarajan , Aishwarya Ashok

The present study investigates the numerical solution of Black-Scholes partial differential equation (PDE) for option valuation with multiple underlying assets. We develop a physics-informed (PI) machine learning algorithm based on a radial…

Machine Learning · Computer Science 2026-01-21 Yan Ma , Yumeng Ren

This paper proposes a novel energy storage price arbitrage algorithm combining supervised learning with dynamic programming. The proposed approach uses a neural network to directly predicts the opportunity cost at different energy storage…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Ningkun Zheng , Xiaoxiang Liu , Bolun Xu , Yuanyuan Shi

Recently, a novel adaptive wave model for financial option pricing has been proposed in the form of adaptive nonlinear Schr\"{o}dinger (NLS) equation [Ivancevic a], as a high-complexity alternative to the linear Black-Scholes-Merton model…

Pricing of Securities · Quantitative Finance 2010-01-26 Vladimir G. Ivancevic

We propose that predictability is a prerequisite for profitability on financial markets. We look at ways to measure predictability of price changes using information theoretic approach and employ them on all historical data available for…

Statistical Finance · Quantitative Finance 2013-11-13 Paweł Fiedor

The Black-Scholes theory of option pricing has been considered for many years as an important but very approximate zeroth-order description of actual market behavior. We generalize the functional form of the diffusion of these systems and…

Computational Physics · Physics 2009-11-06 Lester Ingber

A new mathematical model for the Black-Scholes equation is proposed to forecast option prices. This model includes new interval for the price of the underlying stock as well as new initial and boundary conditions. Conventional notions of…

Mathematical Finance · Quantitative Finance 2015-03-13 Michael V. Klibanov , Andrey V. Kuzhuget

In this paper we introduce a deep learning method for pricing and hedging American-style options. It first computes a candidate optimal stopping policy. From there it derives a lower bound for the price. Then it calculates an upper bound, a…

Computational Finance · Quantitative Finance 2021-03-23 Sebastian Becker , Patrick Cheridito , Arnulf Jentzen

In the previous paper (Inverse Problems, 32, 015010, 2016), a new heuristic mathematical model was proposed for accurate forecasting of prices of stock options for 1-2 trading days ahead of the present one. This new technique uses the…

Mathematical Finance · Quantitative Finance 2022-10-12 Michael V. Klibanov , Aleksander A. Shananin , Kirill V. Golubnichiy , Sergey M. Kravchenko

G-expectation, as a sublinear expectation, provides a powerful framework for modeling uncertainty in financial markets. Motivated by the need for robust valuation under model uncertainty, this work develops a unified risk-neutral valuation…

Computational Engineering, Finance, and Science · Computer Science 2026-03-25 Ziting Pei , Xingye Yue , Xiaotao Zheng

Binary options trading is often marketed as a field where predictive models can generate consistent profits. However, the inherent randomness and stochastic nature of binary options make price movements highly unpredictable, posing…

We examine two types of binary betting markets, whose primary goal is for profit (such as sports gambling) or to gain information (such as prediction markets). We articulate the interplay between belief and price-setting to analyse both…

Computer Science and Game Theory · Computer Science 2024-06-07 Haiqing Zhu , Alexander Soen , Yun Kuen Cheung , Lexing Xie

This study addresses the interpretable estimation of price bounds in the context of price optimization. In recent years, price-optimization methods have become indispensable for maximizing revenue and profits. However, effective application…

Computer Science and Game Theory · Computer Science 2024-10-01 Shunnosuke Ikeda , Naoki Nishimura , Shunji Umetani

We introduce a new class of neural networks designed to be convex functions of their inputs, leveraging the principle that any convex function can be represented as the supremum of the affine functions it dominates. These neural networks,…

Machine Learning · Statistics 2024-11-21 Vincent Lemaire , Gilles Pagès , Christian Yeo

We introduce a novel and highly tractable supervised learning approach based on neural networks that can be applied for the computation of model-free price bounds of, potentially high-dimensional, financial derivatives and for the…

Computational Finance · Quantitative Finance 2022-12-15 Ariel Neufeld , Julian Sester

When learning is used to inform decisions about humans, such as for loans, hiring, or admissions, this can incentivize users to strategically modify their features, at a cost, to obtain positive predictions. The common assumption is that…

Machine Learning · Computer Science 2025-08-15 Yonatan Sommer , Ivri Hikri , Lotan Amit , Nir Rosenfeld

The main purpose of this article is to give a general overview and understanding of the first widely used option-pricing model, the Black-Scholes model. The history and context are presented, with the usefulness and implications in the…

Pricing of Securities · Quantitative Finance 2026-01-13 Francesco Romaggi