Abstract.
In the present paper we provide an analytical solution for pricing discrete barrier options in the Black-Scholes framework. We reduce the valuation problem to a Wiener-Hopf equation that can be solved analytically. We are able to give explicit expressions for the Greeks of the contract. The results from our formulae are compared with those from other numerical methods available in the literature. Very good agreement is obtained, although evaluation using the present method is substantially quicker than the alternative methods presented.
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Mathematics Subject Classification:
45E10, 44A10, 60H30, 60G51.
JEL Classification:
G13, C63
Manuscript received: January 2004; final version received: July 2005
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Fusai, G., Abrahams, I.D. & Sgarra, C. An exact analytical solution for discrete barrier options. Finance Stochast. 10, 1–26 (2006). https://doi.org/10.1007/s00780-005-0170-y
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DOI: https://doi.org/10.1007/s00780-005-0170-y