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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…

计算物理 · 物理学 2009-11-06 Lester Ingber

In this research, we proposed a Mean Convection Finite Difference Method (MCFDM) for European options pricing. The Black-Scholes model, which describes the dynamics of a financial asset, was first transformed into a convection-diffusion…

数值分析 · 数学 2023-08-15 An Ning

Student's mental health problems have been explored previously in higher education literature in various contexts including empirical work involving quantitative and qualitative methods. Nevertheless, comparatively few research could be…

应用统计 · 统计学 2022-03-01 Prathamesh Muzumdar , Ganga Prasad Basyal , Piyush Vyas

We describe TensorFlow-Serving, a system to serve machine learning models inside Google which is also available in the cloud and via open-source. It is extremely flexible in terms of the types of ML platforms it supports, and ways to…

分布式、并行与集群计算 · 计算机科学 2017-12-29 Christopher Olston , Noah Fiedel , Kiril Gorovoy , Jeremiah Harmsen , Li Lao , Fangwei Li , Vinu Rajashekhar , Sukriti Ramesh , Jordan Soyke

This paper develops three polynomial-time pricing techniques for European Asian options with provably small errors, where the stock prices follow binomial trees or trees of higher-degree. The first technique is the first known Monte Carlo…

计算工程、金融与科学 · 计算机科学 2007-05-23 Karhan Akcoglu , Ming-Yang Kao , Shuba Raghavan

This paper examines two different yet related questions related to explainable AI (XAI) practices. Machine learning (ML) is increasingly important in financial services, such as pre-approval, credit underwriting, investments, and various…

机器学习 · 计算机科学 2022-09-21 Swati Tyagi

In recent years, product categorisation has been a common issue for E-commerce companies who have utilised machine learning to categorise their products automatically. In this study, we propose an ensemble approach, using a combination of…

机器学习 · 计算机科学 2023-04-28 Kieron Drumm

Option pricing in real markets faces fundamental challenges. The Black--Scholes--Merton (BSM) model assumes constant volatility and uses a linear generator $g(t,x,y,z)=-ry$, while lacking explicit behavioral factors, resulting in systematic…

计算金融 · 定量金融 2026-01-28 Yilun Zhang , Zheng Tang , Hexiang Sun , Yufeng Shi

In this paper we propose an efficient method to compute the price of multi-asset American options, based on Machine Learning, Monte Carlo simulations and variance reduction technique. Specifically, the options we consider are written on a…

计算金融 · 定量金融 2019-12-04 Ludovic Goudenège , Andrea Molent , Antonino Zanette

The volatility and complex dynamics of cryptocurrency markets present unique challenges for accurate price forecasting. This research proposes a hybrid deep learning and machine learning model that integrates Long Short-Term Memory (LSTM)…

机器学习 · 计算机科学 2025-06-30 Mehul Gautam

The key objective of this paper is to develop an empirical model for pricing SPX options that can be simulated over future paths of the SPX. To accomplish this, we formulate and rigorously evaluate several statistical models, including…

证券定价 · 定量金融 2025-06-24 Alessio Brini , David A. Hsieh , Patrick Kuiper , Sean Moushegian , David Ye

Evaluating financial products with early-termination clauses, in particular those with path-dependent structures, is challenging. This paper focuses on Asian options, look-back options, and callable certificates. We will compare regression…

证券定价 · 定量金融 2025-07-21 Matteo Gambara , Giulia Livieri , Andrea Pallavicini

One of the most discussed problems in the financial world is stock option pricing. The Black-Scholes Equation is a Parabolic Partial Differential Equation which provides an option pricing model. The present work proposes an approach based…

机器学习 · 计算机科学 2024-05-12 Daniel de Souza Santos , Tiago Alessandro Espinola Ferreira

This research addresses accurate option pricing by employing models beyond the traditional Black-Scholes framework. While Black-Scholes provides a closed-form solution, it is limited by assumptions of constant volatility, no dividends, and…

计算金融 · 定量金融 2026-04-08 Karmanpartap Singh Sidhu , Pranshi Saxena

This paper presents a novel way to apply mathematical finance and machine learning (ML) to forecast stock options prices. Following results from the paper Quasi-Reversibility Method and Neural Network Machine Learning to Solution of…

统计金融 · 定量金融 2022-12-13 Zheng Cao , Wenyu Du , Kirill V. Golubnichiy

An accurate valuation of American call options is critical in most financial decision making environments. However, traditional models like the Barone-Adesi Whaley (B-AW) and Binomial Option Pricing (BOP) methods fall short in handling the…

计算金融 · 定量金融 2024-10-01 Ananya Unnikrishnan

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…

计算金融 · 定量金融 2024-01-02 Sarit Maitra , Vivek Mishra , Goutam Kr. Kundu , Kapil Arora

Several methods have been proposed for correcting the elevation bias in digital elevation models (DEMs) for example, linear regression. Nowadays, supervised machine learning enables the modelling of complex relationships between variables,…

机器学习 · 计算机科学 2024-02-13 Chukwuma Okolie , Adedayo Adeleke , Julian Smit , Jon Mills , Iyke Maduako , Caleb Ogbeta

In contemporary economic society, credit scores are crucial for every participant. A robust credit evaluation system is essential for the profitability of core businesses such as credit cards, loans, and investments for commercial banks and…

机器学习 · 计算机科学 2024-11-13 Qianwen Xing , Chang Yu , Sining Huang , Qi Zheng , Xingyu Mu , Mengying Sun

Pricing of exotic financial derivatives, such as Asian and multi-asset American basket options, poses significant challenges for standard numerical methods such as binomial trees or Monte Carlo methods. While the former often scales…

计算金融 · 定量金融 2025-05-26 Maarten van Damme , Rishi Sreedhar , Martin Ganahl