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Neural network pricing of american put options

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Resumo(s)

In this paper we use neural networks (NN), a machine learning method, to price American put options. We propose two distinct NN models – a simple one and a more complex one. The performance of two NN models is compared to the popular Least-Square Monte Carlo Method (LSM). This study relies on market American put option prices, with four large US companies as underlying – Bank of America Corp (BAC), General Motors (GM), Coca-Cola Company (KO) and Procter and Gamble Company (PG). Our dataset includes all options traded from December 2018 to March 2019. All methods show a good accuracy, however, once calibrated, NNs do better in terms of execution time and Root Mean Square Error (RMSE). Although on average both NN models perform better than LSM, the simpler model (NN model 1) performs quite close to LSM. On the other hand our NN model 2 substantially outperforms the other models, having a RMSE ca. 40% lower than that of the LSM. The lower RMSE is consistent across all companies, strike levels and maturities.

Descrição

Palavras-chave

Machine Learning Neural Networks American Put Options Least-Square Monte Carlo

Contexto Educativo

Citação

Gaspar, Raquel, Sara D. Lopes and Bernardo Sequeira (2020). "Neural network pricing of american put options". Instituto Superior de Economia e Gestão – REM Working paper nº 0122 – 2020

Projetos de investigação

Unidades organizacionais

Fascículo

Editora

ISEG - REM - Research in Economics and Mathematics

Licença CC