Alternative option pricing models incorporating higher moments and non-restrictive distributions

A new method of inferring moments of risk-neutral probability density function that is consistent with the traded option prices is developed. Incorporating the market inferred moments of the risk-neutral probability density function is a practical way to overcome the need for using different volatil...

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Main Author: Ang, Kian Ping
Other Authors: Shahiqur Rahman
Format: Theses and Dissertations
Language:English
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10356/7245
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-72452023-05-19T07:08:16Z Alternative option pricing models incorporating higher moments and non-restrictive distributions Ang, Kian Ping Shahiqur Rahman Nanyang Business School DRNTU::Business::Finance::Options A new method of inferring moments of risk-neutral probability density function that is consistent with the traded option prices is developed. Incorporating the market inferred moments of the risk-neutral probability density function is a practical way to overcome the need for using different volatility inputs into "Black-Scholes" types of models for option differing in strike and maturity. The new method utilized Gram-Charlier expansion series to account for the higher moments of the asset's return probability density, and Rubinstein's (1994) optimization method to infer the moments of the risk-neutral probabilities. This moment pricing method contains Black-Scholes model as a special case- when the third and higher moments are set to zero. Doctor of Philosophy (NBS) 2008-09-18T07:42:11Z 2008-09-18T07:42:11Z 1999 1999 Thesis http://hdl.handle.net/10356/7245 en Nanyang Technological University 151 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Business::Finance::Options
spellingShingle DRNTU::Business::Finance::Options
Ang, Kian Ping
Alternative option pricing models incorporating higher moments and non-restrictive distributions
description A new method of inferring moments of risk-neutral probability density function that is consistent with the traded option prices is developed. Incorporating the market inferred moments of the risk-neutral probability density function is a practical way to overcome the need for using different volatility inputs into "Black-Scholes" types of models for option differing in strike and maturity. The new method utilized Gram-Charlier expansion series to account for the higher moments of the asset's return probability density, and Rubinstein's (1994) optimization method to infer the moments of the risk-neutral probabilities. This moment pricing method contains Black-Scholes model as a special case- when the third and higher moments are set to zero.
author2 Shahiqur Rahman
author_facet Shahiqur Rahman
Ang, Kian Ping
format Theses and Dissertations
author Ang, Kian Ping
author_sort Ang, Kian Ping
title Alternative option pricing models incorporating higher moments and non-restrictive distributions
title_short Alternative option pricing models incorporating higher moments and non-restrictive distributions
title_full Alternative option pricing models incorporating higher moments and non-restrictive distributions
title_fullStr Alternative option pricing models incorporating higher moments and non-restrictive distributions
title_full_unstemmed Alternative option pricing models incorporating higher moments and non-restrictive distributions
title_sort alternative option pricing models incorporating higher moments and non-restrictive distributions
publishDate 2008
url http://hdl.handle.net/10356/7245
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