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Model Calibration with Machine Learning

This dissertation focuses on the application of neural networks to financial model calibration. It provides an introduction to the mathematics of basic neural networks and training algorithms. Two simplified experiments based on the Black-Scholes and constant elasticity of variance models are used t...

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Main Author: Haussamer, Nicolai Haussamer
Format: Thesis
Language:English
Published: African Institute of Financial Markets and Risk Management 2019
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access_status_str Open Access
author Haussamer, Nicolai Haussamer
author_browse Haussamer, Nicolai Haussamer
author_facet Haussamer, Nicolai Haussamer
author_sort Haussamer, Nicolai Haussamer
collection Thesis
description This dissertation focuses on the application of neural networks to financial model calibration. It provides an introduction to the mathematics of basic neural networks and training algorithms. Two simplified experiments based on the Black-Scholes and constant elasticity of variance models are used to demonstrate the potential usefulness of neural networks in calibration. In addition, the main experiment features the calibration of the Heston model using model-generated data. In the experiment, we show that the calibrated model parameters reprice a set of options to a mean relative implied volatility error of less than one per cent. The limitations and shortcomings of neural networks in model calibration are also investigated and discussed.
format Thesis
id oai:open.uct.ac.za:11427/29451
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:31:31.816Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2019
publishDateRange 2019
publishDateSort 2019
publisher African Institute of Financial Markets and Risk Management
publisherStr African Institute of Financial Markets and Risk Management
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/29451 Model Calibration with Machine Learning Haussamer, Nicolai Haussamer Mathematical Finance This dissertation focuses on the application of neural networks to financial model calibration. It provides an introduction to the mathematics of basic neural networks and training algorithms. Two simplified experiments based on the Black-Scholes and constant elasticity of variance models are used to demonstrate the potential usefulness of neural networks in calibration. In addition, the main experiment features the calibration of the Heston model using model-generated data. In the experiment, we show that the calibrated model parameters reprice a set of options to a mean relative implied volatility error of less than one per cent. The limitations and shortcomings of neural networks in model calibration are also investigated and discussed. 2019-02-08T14:22:24Z 2019-02-08T14:22:24Z 2018 2019-02-07T06:59:30Z Master Thesis Masters MPhil http://hdl.handle.net/11427/29451 eng application/pdf African Institute of Financial Markets and Risk Management Faculty of Commerce University of Cape Town
spellingShingle Mathematical Finance
Haussamer, Nicolai Haussamer
Model Calibration with Machine Learning
thesis_degree_str Master's
title Model Calibration with Machine Learning
title_full Model Calibration with Machine Learning
title_fullStr Model Calibration with Machine Learning
title_full_unstemmed Model Calibration with Machine Learning
title_short Model Calibration with Machine Learning
title_sort model calibration with machine learning
topic Mathematical Finance
url http://hdl.handle.net/11427/29451
work_keys_str_mv AT haussamernicolaihaussamer modelcalibrationwithmachinelearning