Machine Learning and Options Pricing: a Comparison of Black-Scholes and a Deep Neural Network in Pricing and Hedging DAX 30 Index Options

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School of Business | Bachelor's thesis

Date

2017

Major/Subject

Mcode

Degree programme

Rahoitus

Language

en

Pages

19

Series

Abstract

In this paper I study whether a deep feedforward network model performs better than the Black- Scholes model in pricing and delta hedging European-style call options. I apply the methodologies from selected original works on daily prices of call options written on DAX 30 between years 2013 and 2017. My results are mostly consistent with earlier literature and they indicate that the out-of- sample pricing performance of the neural network is superior to Black-Scholes with medium-term and long-term maturities and the out-of-sample delta-hedging performance of the neural network is superior with out-of-the-money options.

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Thesis advisor

Lof, Matthijs

Keywords

derivatives pricing, machine learning, neural networks, options pricing, finance, deep learning

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