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Pricing holder-extendable options in a stochastic volatility model with an Ornstein-Uhlenbeck process


Citation

Ibrahim, Siti Nur Iqmal and Ng, Teck Wee and O'Hara, John G. and Nawawi, A. (2017) Pricing holder-extendable options in a stochastic volatility model with an Ornstein-Uhlenbeck process. Malaysian Journal of Mathematical Sciences, 11 (1). pp. 1-8. ISSN 1823-8343; ESSN: 2289-750X

Abstract

Holder-extendable options are characterized by two maturity dates, which means the option can be exercised at either the expiration date or the extended maturity date. This paper develops a pricing framework for holder-extendable options which deals with the extended version of a stochastic volatility model with an Ornstein-Uhlenbeck (OU) process. The extended model allows correlation between volatility and asset returns. The method uses Fourier inversion techniques that does not require an initial guess of the characteristic functions. A closed-form pricing formula for holder-extendable options is derived for logarithmic asset price dynamics.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Institute for Mathematical Research, Universiti Putra Malaysia
Keywords: Holder-extendable option; Ornstein-Uhlenbeck process; Fourier inversion; Stochastic volatility
Depositing User: Nabilah Mustapa
Date Deposited: 27 Apr 2017 09:55
Last Modified: 27 Apr 2017 09:55
URI: http://psasir.upm.edu.my/id/eprint/51691
Statistic Details: View Download Statistic

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