On the closed-form approximation of short-time random strike options


Autoria(s): Alòs, Elisa; León, Jorge A.
Contribuinte(s)

Universitat Pompeu Fabra. Departament d'Economia i Empresa

Data(s)

11/03/2013

Resumo

In this paper we propose a general technique to develop first and second order closed-form approximation formulas for short-time options withrandom strikes. Our method is based on Malliavin calculus techniques andallows us to obtain simple closed-form approximation formulas dependingon the derivative operator. The numerical analysis shows that these formulas are extremely accurate and improve some previous approaches ontwo-assets and three-assets spread options as Kirk's formula or the decomposition mehod presented in Alòs, Eydeland and Laurence (2011).

Identificador

http://hdl.handle.net/10230/20484

Idioma(s)

eng

Direitos

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info:eu-repo/semantics/openAccess

<a href="http://creativecommons.org/licenses/by-nc-nd/3.0/es/">http://creativecommons.org/licenses/by-nc-nd/3.0/es/</a>

Palavras-Chave #Statistics, Econometrics and Quantitative Methods #spread options #kirk's formula #malliavin calculus #derivative operator in the malliavin calculus sense #skorohod integral.
Tipo

info:eu-repo/semantics/workingPaper