Empirical performance of a model-free volatility against the different option strike size discreteness

Harun, Hanani Farhah and Abdullah, Mimi Hafizah (2019) Empirical performance of a model-free volatility against the different option strike size discreteness. Malaysian Journal of Mathematical Sciences, 13 (Special Issue). pp. 1-13. ISSN 1823-8343

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Abstract

This study investigates whether the dierent step size of option strike price discreteness contributes to the performance of a model-free variance in approximating the real-value volatility. The volatility is proxied by the volatility implied by the Black-Scholes-Merton option pricing model. We concentrate on examining the respective relationship governing the function of approximation error against the strike price step. A sample data extracted from DJIA index options data is used, which covers the period from January 2009 until the end of 2015. This study nds that the best strike price step size that asserts the most minimum approximation error by practice is a step size of $1.00. There exists a linear relationship between strike price discreteness size and approximation error. The choice of the dierent step size of strike price discreteness is in fact contributes to the performance of a model-free variance in approximating the real-value volatility.

Item Type:	Article (Journal)
Additional Information:	4482/79440
Uncontrolled Keywords:	model-free, options, strike price discreteness and volatility.
Subjects:	Q Science > QA Mathematics > QA276 Mathematical Statistics
Kulliyyahs/Centres/Divisions/Institutes (Can select more than one option. Press CONTROL button):	Kulliyyah of Science > Department of Computational and Theoretical Sciences
Depositing User:	Ms Mimi Hafizah Abdullah
Date Deposited:	03 Apr 2020 18:34
Last Modified:	03 Apr 2020 18:34
URI:	http://irep.iium.edu.my/id/eprint/79640

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