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In this paper, we present a reproducible benchmarking framework that systematically compares QML models with architecture-matched classical counterparts across three financial tasks: (i) directional return prediction on U.S. and Turkish…

Machine Learning · Computer Science 2026-01-08 Rehan Ahmad , Muhammad Kashif , Nouhaila Innan , Muhammad Shafique

We consider option hedging in a model where the underlying follows an exponential L\'evy process. We derive approximations to the variance-optimal and to some suboptimal strategies as well as to their mean squared hedging errors. The…

Computational Finance · Quantitative Finance 2017-07-25 Aleš Černý , Stephan Denkl , Jan Kallsen

Stock price prediction is a complicated and interesting task. Noisy trends make stock pricing sensitive and complicated while the economical motivation behind, keeps it interesting for researchers and investors. In this paper we are to…

Optimization and Control · Mathematics 2023-12-19 Negin Bagherpour

The quantification of uncertainty in prediction models is crucial for reliable decision-making, yet remains a significant challenge. Interval time series forecasting offers a principled solution to this problem by providing prediction…

Machine Learning · Computer Science 2026-04-20 Miaoxuan Zhu , Yi Yu , Yuyang Li , Wei Li , Guangcan Liu

In this working paper we present our current progress in the training of machine learning models to execute short option strategies on the S&P500. As a first step, this paper is breaking this problem down to a supervised classification task…

Computational Finance · Quantitative Finance 2022-04-29 Alexander Brunhuemer , Lukas Larcher , Philipp Seidl , Sascha Desmettre , Johannes Kofler , Gerhard Larcher

Algorithm selection is commonly used to predict the best solver from a portfolio per per-instance. In many real scenarios, instances arrive in a stream: new instances become available over time, while the number of class labels can also…

Machine Learning · Computer Science 2025-06-03 Mate Botond Nemeth , Emma Hart , Kevin Sim , Quentin Renau

Although conventional machine learning algorithms have been widely adopted for stock-price predictions in recent years, the massive volume of specific labeled data required are not always available. In contrast, meta-learning technology…

Machine Learning · Computer Science 2022-02-18 Shin-Hung Chang , Cheng-Wen Hsu , Hsing-Ying Li , Wei-Sheng Zeng , Jan-Ming Ho

We consider the problem of pricing path-dependent options on a basket of underlying assets using simulations. As an example we develop our studies using Asian options. Asian options are derivative contracts in which the underlying variable…

Probability · Mathematics 2007-10-04 Piergiacomo Sabino

In this paper, we introduce a framework for solving finite-horizon multistage optimization problems under uncertainty in the presence of auxiliary data. We assume the joint distribution of the uncertain quantities is unknown, but noisy…

Machine Learning · Statistics 2019-04-29 Dimitris Bertsimas , Christopher McCord

The main aim of this study is to introduce a 2-layered Artificial Neural Network (ANN) for solving the Black-Scholes partial differential equation (PDE) of either fractional or ordinary orders. Firstly, a discretization method is employed…

Machine Learning · Computer Science 2021-08-04 Saeed Bajalan , Nastaran Bajalan

We investigate qualitative and quantitative behavior of a solution of the mathematical model for pricing American style of perpetual put options. We assume the option price is a solution to the stationary generalized Black-Scholes equation…

Mathematical Finance · Quantitative Finance 2017-11-09 Maria do Rosario Grossinho , Yaser Kord Faghan , Daniel Sevcovic

The purpose of this paper is to analyze and compute the early exercise boundary for a class of nonlinear Black--Scholes equations with a nonlinear volatility which can be a function of the second derivative of the option price itself. A…

Computational Finance · Quantitative Finance 2008-12-10 Daniel Sevcovic

Omniprediction is a learning problem that requires suboptimality bounds for each of a family of losses $\mathcal{L}$ against a family of comparator predictors $\mathcal{C}$. We initiate the study of omniprediction in a multiclass setting,…

Data Structures and Algorithms · Computer Science 2026-02-20 Lunjia Hu , Kevin Tian , Chutong Yang

In this article we consider the problem of pricing and hedging high-dimensional Asian basket options by Quasi-Monte Carlo simulation. We assume a Black-Scholes market with time-dependent volatilities and show how to compute the deltas by…

Pricing of Securities · Quantitative Finance 2015-06-29 Nicola Cufaro Petroni , Piergiacomo Sabino

This paper proposes the Exact Terminal Condition Neural Network (ETCNN), a deep learning framework for accurately pricing American options by solving the Black-Scholes-Merton (BSM) equations. The ETCNN incorporates carefully designed…

Computational Finance · Quantitative Finance 2025-11-03 Wenxuan Zhang , Yixiao Guo , Benzhuo Lu

Quantum Machine Learning (QML) offers a new paradigm for addressing complex financial problems intractable for classical methods. This work specifically tackles the challenge of few-shot credit risk assessment, a critical issue in inclusive…

We study quasi-convex optimization problems, where only a subset of the constraints can be sampled, and yet one would like a probabilistic guarantee on the obtained solution with respect to the initial (unknown) optimization problem. Even…

Optimization and Control · Mathematics 2021-01-06 Guillaume O. Berger , Raphaël M. Jungers , Zheming Wang

We propose a financial market model that comprises a savings account and a stock. The stock price process is modeled as a one-dimensional diffusion, in which two types of agents exist: an ordinary investor and a fundraiser who buys or sells…

Mathematical Finance · Quantitative Finance 2025-04-23 Yukihiro Tsuzuki

Conformal prediction (CP) is a promising uncertainty quantification framework which works as a wrapper around a black-box classifier to construct prediction sets (i.e., subset of candidate classes) with provable guarantees. However,…

Machine Learning · Computer Science 2025-06-10 Yuanjie Shi , Hooman Shahrokhi , Xuesong Jia , Xiongzhi Chen , Janardhan Rao Doppa , Yan Yan

We explored the potential applications of various Quantum Algorithms for stock price prediction by conducting a series of experimental simulations using both Classical as well as Quantum Hardware. Firstly, we extracted various stock price…

Computational Finance · Quantitative Finance 2023-08-29 Naman S , Gaurang B , Neel S , Aswath Babu H
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