Ibrahim, SNI and Ng, TW and O'Hara, JG 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.
Ibrahim, SNI and Ng, TW and O'Hara, JG 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.
Ibrahim, SNI and Ng, TW and O'Hara, JG 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.
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.
Item Type: | Article |
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Uncontrolled Keywords: | Holder-extendable option; Ornstein-Uhlenbeck process; Fourier inversion; stochastic volatility. |
Subjects: | H Social Sciences > HG Finance |
Divisions: | Faculty of Science and Health Faculty of Science and Health > Mathematics, Statistics and Actuarial Science, School of |
SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
Depositing User: | Unnamed user with email elements@essex.ac.uk |
Date Deposited: | 20 Jun 2017 14:51 |
Last Modified: | 30 Oct 2024 21:08 |
URI: | http://repository.essex.ac.uk/id/eprint/19898 |
Available files
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