6533b7d1fe1ef96bd125cdaa

RESEARCH PRODUCT

ADI schemes for valuing European options under the Bates model

Karel In 'T HoutJari Toivanen

subject

DiscretizationStability (learning theory)bates modelBATES010103 numerical & computational mathematicsalternating direction implicit schemes01 natural sciencessymbols.namesakeConvergence (routing)FOS: MathematicsApplied mathematicsMathematics - Numerical Analysis0101 mathematicsAdaptation (computer science)Mathematicsta113Numerical Analysispartial integro-differential equationsApplied MathematicsNumerical Analysis (math.NA)stability010101 applied mathematicsComputational MathematicsAlternating direction implicit methodsymbolsoperator splitting methodsMathematicsVon Neumann architecture

description

Abstract This paper is concerned with the adaptation of alternating direction implicit (ADI) time discretization schemes for the numerical solution of partial integro-differential equations (PIDEs) with application to the Bates model in finance. Three different adaptations are formulated and their (von Neumann) stability is analyzed. Ample numerical experiments are provided for the Bates PIDE, illustrating the actual stability and convergence behaviour of the three adaptations.

yearjournalcountryeditionlanguage
2018-01-01Applied Numerical Mathematics
https://doi.org/10.1016/j.apnum.2018.04.003