Numerical methods for solving PIDEs arising in swing option pricing under a two-factor mean-reverting model with jumps

Mustapha Regragui, Karel J. in 't Hout, Mich\`ele Vanmaele and Fred Espen Benth

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Abstract: This paper concerns the numerical valuation of swing options with discrete action times under a linear two-factor mean-reverting model with jumps. The resulting sequence of two-dimensional partial integro-differential equations (PIDEs) are convection-dominated and possess a nonlocal integral term due to the presence of jumps. Further, the initial function is nonsmooth. We propose various second-order numerical methods that can adequately handle these challenging features. The stability and convergence of these numerical methods are analysed theoretically. By ample numerical experiments, we confirm their second-order convergence behaviour.

Date: 2025-11
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