Option Pricing and Local Volatility Surface by Physics-Informed Neural Network.

Autor: Bae, Hyeong-Ohk, Kang, Seunggu, Lee, Muhyun
Předmět:
Zdroj: Computational Economics; Nov2024, Vol. 64 Issue 5, p3143-3159, 17p
Abstrakt: We use an artificial neural network for finance in two directions: to estimate prices and Greeks based on the geometric Brownian motion and the constant elasticity of variance model for European options, and to construct a local volatility surface. To show the efficiency and successful usage of the network, we compare prices and Greeks obtained by a solution formula and by the artificial neural network when there is a solution formula is known. Then, we calculate Dupire's equations to construct a local volatility surface by the network. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index