Swing contract pricing: with and without Neural Networks

Fuente: arXiv
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Main Authors: Lemaire, Vincent, Pagès, Gilles, Yeo, Christian
Format: Preprint
Published: 2023
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author Lemaire, Vincent
Pagès, Gilles
Yeo, Christian
author_facet Lemaire, Vincent
Pagès, Gilles
Yeo, Christian
contents We propose two parametric approaches to evaluate swing contracts with firm constraints. Our objective is to define approximations for the optimal control, which represents the amounts of energy purchased throughout the contract. The first approach involves approximating the optimal control by means of an explicit parametric function, where the parameters are determined using stochastic gradient descent based algorithms. The second approach builds on the first one, where we replace parameters in the first approach by the output of a neural network. Our numerical experiments demonstrate that by using Langevin based algorithms, both parameterizations provide, in a short computation time, better prices compared to state-of-the-art methods.
format Preprint
id arxiv_https___arxiv_org_abs_2306_03822
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Swing contract pricing: with and without Neural Networks
Lemaire, Vincent
Pagès, Gilles
Yeo, Christian
Mathematical Finance
Computational Finance
We propose two parametric approaches to evaluate swing contracts with firm constraints. Our objective is to define approximations for the optimal control, which represents the amounts of energy purchased throughout the contract. The first approach involves approximating the optimal control by means of an explicit parametric function, where the parameters are determined using stochastic gradient descent based algorithms. The second approach builds on the first one, where we replace parameters in the first approach by the output of a neural network. Our numerical experiments demonstrate that by using Langevin based algorithms, both parameterizations provide, in a short computation time, better prices compared to state-of-the-art methods.
title Swing contract pricing: with and without Neural Networks
topic Mathematical Finance
Computational Finance
url https://arxiv.org/abs/2306.03822