1. Neural network learning of Black-Scholes equation for option pricing.
- Author
-
de Souza Santos, Daniel and Ferreira, Tiago A. E.
- Subjects
- *
PARABOLIC differential equations , *STOCK options , *OPTIONS (Finance) , *COMMERCIAL statistics , *BLACK-Scholes model - Abstract
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 on neural networks to solve the Black-Scholes equations. Real-world data from the stock options market were used as the initial boundary to solve the Black-Scholes equation. In particular, times series of call options prices of Brazilian companies Petrobras and Vale were employed. The results indicate that the network can learn to solve the Black-Scholes equation for a specific real-world stock options time series. The experimental results showed that the neural network option pricing based on the Black-Scholes equation solution can reach an option pricing forecasting more accurate than the traditional Black-Scholes analytical solutions. The experimental results making it possible to use this methodology to make short-term call option price forecasts in options markets. [ABSTRACT FROM AUTHOR]
- Published
- 2025
- Full Text
- View/download PDF