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This study enhances option pricing by presenting unique pricing model fractional order Black-Scholes-Merton (FOBSM) which is based on the Black-Scholes-Merton (BSM) model. The main goal is to improve the precision and authenticity of option…

Computational Finance · Quantitative Finance 2024-01-02 Sarit Maitra , Vivek Mishra , Goutam Kr. Kundu , Kapil Arora

The pricing of financial derivatives, which requires massive calculations and close-to-real-time operations under many trading and arbitrage scenarios, were largely infeasible in the past. However, with the advancement of modern computing,…

Pricing of Securities · Quantitative Finance 2019-06-18 Wei-Cheng Chen , Wei-Ho Chung

The research paper empirically investigates several machine learning algorithms to forecast stock prices depending on insider trading information. Insider trading offers special insights into market sentiment, pointing to upcoming changes…

Machine Learning · Computer Science 2025-07-08 Amitabh Chakravorty , Nelly Elsayed

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

We proposed a two-step Longstaff Schwartz Monte Carlo (LSMC) method with two regression models fitted at each time step to price game options. Although the original LSMC can be used to price game options with an enlarged range of path in…

Computational Finance · Quantitative Finance 2024-01-17 Ce Wang

In this article, we present a review of the recent developments on the topic of Multilevel Monte Carlo (MLMC) algorithm, in the paradigm of applications in financial engineering. We specifically focus on the recent studies conducted in two…

Computational Finance · Quantitative Finance 2022-09-30 Devang Sinha , Siddhartha P. Chakrabarty

The pricing of American style and multiple exercise options is a very challenging problem in mathematical finance. One usually employs a Least-Square Monte Carlo approach (Longstaff-Schwartz method) for the evaluation of conditional…

Computational Finance · Quantitative Finance 2011-01-19 Gilles Pagès , Benedikt Wilbertz

Pricing options is an important problem in financial engineering. In many scenarios of practical interest, financial option prices associated to an underlying asset reduces to computing an expectation w.r.t.~a diffusion process. In general,…

Computation · Statistics 2016-08-12 Deborshee Sen , Ajay Jasra , Yan Zhou

An American option grants the holder the right to select the time at which to exercise the option, so pricing an American option entails solving an optimal stopping problem. Difficulties in applying standard numerical methods to complex…

Probability · Mathematics 2007-05-23 Paul Glasserman , Bin Yu

We explore the performance of various artificial neural network architectures, including a multilayer perceptron (MLP), Kolmogorov-Arnold network (KAN), LSTM-GRU hybrid recursive neural network (RNN) models, and a time-delay neural network…

Computational Finance · Quantitative Finance 2024-10-15 Boris Ter-Avanesov , Homayoon Beigi

Stock price prediction is a challenging task, but machine learning methods have recently been used successfully for this purpose. In this paper, we extract over 270 hand-crafted features (factors) inspired by technical and quantitative…

Statistical Finance · Quantitative Finance 2020-07-01 Adamantios Ntakaris , Juho Kanniainen , Moncef Gabbouj , Alexandros Iosifidis

Long-term investors, different from short-term traders, focus on examining the underlying forces that affect the well-being of a company. They rely on fundamental analysis which attempts to measure the intrinsic value an equity.…

Neural and Evolutionary Computing · Computer Science 2019-05-14 Jessie Sun

The aim of this study was to develop methods for evaluating the American-style option prices when the volatility of the underlying asset is described by a stochastic process. As part of this problem were developed techniques for modeling…

Pricing of Securities · Quantitative Finance 2010-09-29 Yu. A. Kuperin , P. A. Poloskov

This paper will illustrate the usage of Machine Learning algorithms on US College Scorecard datasets. For this paper, we will use our knowledge, research, and development of a predictive model to compare the results of all the models and…

Computers and Society · Computer Science 2024-06-13 Zalak Patel , Ayushi Porwal , Kajal Bhandare , Jongwook Woo

Consider a discrete finite-dimensional, Markovian market model. In this setting, discretely sampled American options can be priced using the so-called ``non-recombining'' tree algorithm. By successively increasing the number of exercise…

Probability · Mathematics 2007-05-23 Frederik S Herzberg

In this bachelor thesis, we show how four different machine learning methods (Long Short-Term Memory, Random Forest, Support Vector Machine Regression, and k-Nearest Neighbor) perform compared to already successfully applied trading…

Trading and Market Microstructure · Quantitative Finance 2022-08-16 Danijel Jevtic , Romain Deleze , Joerg Osterrieder

In this paper we explore ways of numerically computing recursive dynamic monetary risk measures and utility functions. Computationally, this problem suffers from the curse of dimensionality and nested simulations are unfeasible if there are…

Computational Finance · Quantitative Finance 2021-04-13 Hampus Engsner

Multilevel Monte Carlo (MLMC) reduces the total computational cost of financial option pricing by combining SDE approximations with multiple resolutions. This paper explores a further avenue for reducing cost and improving power efficiency…

Computational Finance · Quantitative Finance 2025-02-12 Irina-Beatrice Haas , Michael B. Giles

Forecasting stock prices can be interpreted as a time series prediction problem, for which Long Short Term Memory (LSTM) neural networks are often used due to their architecture specifically built to solve such problems. In this paper, we…

Machine Learning · Computer Science 2021-06-14 Akash Doshi , Alexander Issa , Puneet Sachdeva , Sina Rafati , Somnath Rakshit

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