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Journal of Banking & Finance Vol. 98 2019

A jump-diffusion model for pricing and hedging with margined options: An application to Brent crude oil contracts

Jimmy E. Hilliard; Jimmy E. Hilliard

Auburn University

Abstract

We develop a jump-diffusion model for pricing and hedging with margined options on futures. Unlike a standard equity option, margined options require no up-front payment. An attractive feature of margined options is that there is no early exercise premiums under general assumptions. Model parameter estimates and out-of-sample pricing errors are calculated using data on Brent crude contracts. Using the same pricing technology, we also hedge equity style options with margined options. Hedging coefficients are derived by matching an extended set of Greeks. We find that a target equity option can be effectively hedged using a portfolio of two margined options and the underlying. As has been reported elsewhere, a delta hedge is inappropriate when the underlying is a jump-diffusion.

DOI
10.1016/j.jbankfin.2018.10.013
Volume
98
Pages
137-155
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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