Machine learning and option implied information
File(s)
Author(s)
Zheng, Yu
Type
Thesis
Abstract
The thesis consists of three chapters which focus on two broad topics, applying machine learning in finance (Chapters 1 and 2) and extracting implied information from options (Chapter 3).
In Chapter 1, I combine the data-driven approach from the machine learning community and economic theory from the finance community to design a deep neural network to estimate the implied volatility surface.
Chapter 2 is a second example of applying machine learning in finance. Yang et al. [2017] proposes a gated neural network for pricing European call options. Yang et al. [2017] is rewritten in this chapter using the general framework introduced in Chapter 1.
In Chapter 3, I provide a solution to the following question. Is there any flexible implementation framework to derive the conditional risk neutral density of any arbitrary period of return and calculate corresponding statistics, namely, implied variance, implied skewness and implied kurtosis from option prices? I solve this problem by proposing a framework combining implied volatility surface and Automatic Differentiation [Rall, 1981, Neidinger, 2010, Griewank and Walther, 2008, Baydin et al., 2015].
In Chapter 1, I combine the data-driven approach from the machine learning community and economic theory from the finance community to design a deep neural network to estimate the implied volatility surface.
Chapter 2 is a second example of applying machine learning in finance. Yang et al. [2017] proposes a gated neural network for pricing European call options. Yang et al. [2017] is rewritten in this chapter using the general framework introduced in Chapter 1.
In Chapter 3, I provide a solution to the following question. Is there any flexible implementation framework to derive the conditional risk neutral density of any arbitrary period of return and calculate corresponding statistics, namely, implied variance, implied skewness and implied kurtosis from option prices? I solve this problem by proposing a framework combining implied volatility surface and Automatic Differentiation [Rall, 1981, Neidinger, 2010, Griewank and Walther, 2008, Baydin et al., 2015].
Version
Open Access
Date Issued
2017-05
Date Awarded
2018-02
Copyright Statement
Attribution NoDerivatives 4.0 International Licence (CC BY-ND)
Advisor
Michaelides, Alexander
Publisher Department
Business School
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)