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Assuming that price of the underlying stock is moving in range bound, the Black-Scholes formula for options pricing supports a separation of variables. The resulting time-independent equation is solved employing different behavior of the…

Pricing of Securities · Quantitative Finance 2013-07-24 Ovidiu Racorean

This research paper explores the performance of Machine Learning (ML) algorithms and techniques that can be used for financial asset price forecasting. The prediction and forecasting of asset prices and returns remains one of the most…

Statistical Finance · Quantitative Finance 2020-04-06 Philip Ndikum

One-sided matching mechanisms are fundamental for assigning a set of indivisible objects to a set of self-interested agents when monetary transfers are not allowed. Two widely-studied randomized mechanisms in multiagent settings are the…

Computer Science and Game Theory · Computer Science 2017-03-02 Hadi Hosseini , Kate Larson , Robin Cohen

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…

Algorithmic price collusion facilitated by artificial intelligence (AI) algorithms raises significant concerns. We examine how AI agents using Q-learning engage in tacit collusion in two-sided markets. Our experiments reveal that AI-driven…

General Economics · Economics 2024-07-08 Cristian Chica , Yinglong Guo , Gilad Lerman

In American options, the early exercise feature allows the option to be exercised at any time prior to expiration. However, this flexibility introduces a challenge: the pricing model must value the option while simultaneously determining an…

Computational Finance · Quantitative Finance 2026-05-11 Rohan , Siddanth Shetty , Amit N. Kumar

When firms want to buy back their own shares, they have a choice between several alternatives. If they often carry out open market repurchase, they also increasingly rely on banks through complex buyback contracts involving option…

Computational Finance · Quantitative Finance 2019-11-05 Olivier Guéant , Iuliia Manziuk , Jiang Pu

This study investigates the application of machine learning algorithms, particularly in the context of pricing American options using Monte Carlo simulations. Traditional models, such as the Black-Scholes-Merton framework, often fail to…

Machine Learning · Computer Science 2024-09-06 Prudence Djagba , Callixte Ndizihiwe

Contrary to the common view that exact pricing is prohibitive owing to the curse of dimensionality, this study proposes an efficient and unified method for pricing options under multivariate Black-Scholes-Merton (BSM) models, such as the…

Pricing of Securities · Quantitative Finance 2018-05-09 Jaehyuk Choi

We present the method of moments approach to pricing barrier-type options when the underlying is modelled by a general class of jump diffusions. By general principles the option prices are linked to certain infinite dimensional linear…

Computational Finance · Quantitative Finance 2008-12-25 Bjorn Eriksson , Martijn Pistorius

Two-sided matching markets have long existed to pair agents in the absence of regulated exchanges. A common example is school choice, where a matching mechanism uses student and school preferences to assign students to schools. In such…

Machine Learning · Computer Science 2021-09-17 Stefania Ionescu , Yuhao Du , Kenneth Joseph , Anikó Hannák

Pricing algorithms have demonstrated the capability to learn tacit collusion that is largely unaddressed by current regulations. Their increasing use in markets, including oligopolistic industries with a history of collusion, calls for…

Computer Science and Game Theory · Computer Science 2025-02-26 Paul Friedrich , Barna Pásztor , Giorgia Ramponi

The problem of determining the European-style option price in the incomplete market has been examined within the framework of stochastic optimization. An analytic method based on the discrete dynamic programming equation (Bellman equation)…

Statistical Mechanics · Physics 2016-08-31 Sergei Fedotov , Sergei Mikhailov

We propose a neural network approach to price EU call options that significantly outperforms some existing pricing models and comes with guarantees that its predictions are economically reasonable. To achieve this, we introduce a class of…

Computational Finance · Quantitative Finance 2020-03-30 Yongxin Yang , Yu Zheng , Timothy M. Hospedales

Sequential portfolio selection has attracted increasing interests in the machine learning and quantitative finance communities in recent years. As a mathematical framework for reinforcement learning policies, the stochastic multi-armed…

Portfolio Management · Quantitative Finance 2017-09-14 Xiaoguang Huo , Feng Fu

In this paper, we study a game with positive or plus infinite expectation and determine the optimal proportion of investment for maximizing the limit expectation of growth rate per attempt. With this objective, we introduce a new pricing…

Optimization and Control · Mathematics 2013-06-28 Yukio Hirashita

The prediction of financial markets is a challenging yet important task. In modern electronically-driven markets, traditional time-series econometric methods often appear incapable of capturing the true complexity of the multi-level…

Econometrics · Economics 2023-02-01 Martin Magris , Mostafa Shabani , Alexandros Iosifidis

This note proposes a method for pricing high-dimensional American options based on modern methods of multidimensional interpolation. The method allows using sparse grids and thus mitigates the curse of dimensionality. A framework of the…

General Mathematics · Mathematics 2007-09-03 Vladislav Kargin

Predicting booking probability and value at the traveler level plays a central role in computational advertising for massive two-sided vacation rental marketplaces. These marketplaces host millions of travelers with long shopping cycles,…

Information Retrieval · Computer Science 2019-07-11 Meisam Hejazinia , Pavlos Mitsoulis-Ntompos , Serena Zhang

We show that prices and shortfall risks of game (Israeli) barrier options in a sequence of binomial approximations of the Black--Scholes (BS) market converge to the corresponding quantities for similar game barrier options in the BS market…

Pricing of Securities · Quantitative Finance 2009-07-24 Yan Dolinsky , Yuri Kifer