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Calibration to American options: numerical investigation of the de-Americanization method

American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods for American options that are based on Monte Carlo, tree an...

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Detalles Bibliográficos
Autores principales: Burkovska, O., Gass, M., Glau, K., Mahlstedt, M., Schoutens, W., Wohlmuth, B.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Routledge 2018
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6034575/
https://www.ncbi.nlm.nih.gov/pubmed/30022892
http://dx.doi.org/10.1080/14697688.2017.1417622
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author Burkovska, O.
Gass, M.
Glau, K.
Mahlstedt, M.
Schoutens, W.
Wohlmuth, B.
author_facet Burkovska, O.
Gass, M.
Glau, K.
Mahlstedt, M.
Schoutens, W.
Wohlmuth, B.
author_sort Burkovska, O.
collection PubMed
description American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods for American options that are based on Monte Carlo, tree and partial differential equation methods. We present an alternative approach that has become popular under the name de-Americanization in the financial industry. The method is easy to implement and enjoys fast run-times (compared to a direct calibration to American options). Since it is based on ad hoc simplifications, however, theoretical results guaranteeing reliability are not available. To quantify the resulting methodological risk, we empirically test the performance of the de-Americanization method for calibration. We classify the scenarios in which de-Americanization performs very well. However, we also identify the cases where de-Americanization oversimplifies and can result in large errors.
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spelling pubmed-60345752018-07-16 Calibration to American options: numerical investigation of the de-Americanization method Burkovska, O. Gass, M. Glau, K. Mahlstedt, M. Schoutens, W. Wohlmuth, B. Quant Finance Research Papers American options are the reference instruments for the model calibration of a large and important class of single stocks. For this task, a fast and accurate pricing algorithm is indispensable. The literature mainly discusses pricing methods for American options that are based on Monte Carlo, tree and partial differential equation methods. We present an alternative approach that has become popular under the name de-Americanization in the financial industry. The method is easy to implement and enjoys fast run-times (compared to a direct calibration to American options). Since it is based on ad hoc simplifications, however, theoretical results guaranteeing reliability are not available. To quantify the resulting methodological risk, we empirically test the performance of the de-Americanization method for calibration. We classify the scenarios in which de-Americanization performs very well. However, we also identify the cases where de-Americanization oversimplifies and can result in large errors. Routledge 2018-02-12 /pmc/articles/PMC6034575/ /pubmed/30022892 http://dx.doi.org/10.1080/14697688.2017.1417622 Text en © 2018 Informa UK Limited, trading as Taylor & Francis Group
spellingShingle Research Papers
Burkovska, O.
Gass, M.
Glau, K.
Mahlstedt, M.
Schoutens, W.
Wohlmuth, B.
Calibration to American options: numerical investigation of the de-Americanization method
title Calibration to American options: numerical investigation of the de-Americanization method
title_full Calibration to American options: numerical investigation of the de-Americanization method
title_fullStr Calibration to American options: numerical investigation of the de-Americanization method
title_full_unstemmed Calibration to American options: numerical investigation of the de-Americanization method
title_short Calibration to American options: numerical investigation of the de-Americanization method
title_sort calibration to american options: numerical investigation of the de-americanization method
topic Research Papers
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6034575/
https://www.ncbi.nlm.nih.gov/pubmed/30022892
http://dx.doi.org/10.1080/14697688.2017.1417622
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