Option valuation and hedging in markets with a crunch
Youssef El-Khatib and
Abdulnasser Hatemi-J
Journal of Economic Studies, 2017, vol. 44, issue 5, 801-815
Abstract:
Purpose - Option pricing is an integral part of modern financial risk management. The well-known Black and Scholes (1973) formula is commonly used for this purpose. The purpose of this paper is to extend their work to a situation in which the unconditional volatility of the original asset is increasing during a certain period of time. Design/methodology/approach - The authors consider a market suffering from a financial crisis. The authors provide the solution for the equation of the underlying asset price as well as finding the hedging strategy. In addition, a closed formula of the pricing problem is proved for a particular case. Furthermore, the underlying price sensitivities are derived. Findings - The suggested formulas are expected to make the valuation of options and the underlying hedging strategies during a financial crisis more precise. A numerical application is provided for determining the premium for a call and a put European option along with the underlying price sensitivities for each option. Originality/value - An alternative option pricing model is introduced that performs better than existing ones, especially during a financial crisis.
Keywords: Financial crisis; Black and Scholes formula; Options pricing and hedging; C06; G01; G11; G12; G13 (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eme:jespps:jes-04-2016-0083
DOI: 10.1108/JES-04-2016-0083
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