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An efficient unified approach for spread option pricing in a copula market model

Edoardo Berton () and Lorenzo Mercuri ()
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Edoardo Berton: Universitá Cattolica del Sacro Cuore
Lorenzo Mercuri: Universitá degli Studi di Milano

Annals of Operations Research, 2024, vol. 336, issue 1, No 10, 307-329

Abstract: Abstract In this study, we propose a new formula for spread option pricing with the dependence of two assets described by a copula function. The proposed method’s advantage lies in its requirement of solely computing one-dimensional integrals. Any univariate stock price process, admitting an affine characteristic function, can be used in our formula to get an efficient numerical pricing procedure for a spread option. In the numerical analysis we present a comparison with the Monte Carlo simulation method to assess the performance of our approach, assuming that the univariate stock price follows three widely applied models: variance gamma, Heston’s stochastic volatility and affine Heston–Nandi GARCH(1,1) models.

Keywords: Copula function; Affine process; Spread options (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s10479-023-05549-2

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