0000000000150191

AUTHOR

Karel In 'T Hout

showing 2 related works from this author

ADI schemes for valuing European options under the Bates model

2018

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.

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 architectureApplied Numerical Mathematics
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Application of Operator Splitting Methods in Finance

2016

Financial derivatives pricing aims to find the fair value of a financial contract on an underlying asset. Here we consider option pricing in the partial differential equations framework. The contemporary models lead to one-dimensional or multidimensional parabolic problems of the convection-diffusion type and generalizations thereof. An overview of various operator splitting methods is presented for the efficient numerical solution of these problems.

FinanceMathematical optimizationPartial differential equationbusiness.industry010103 numerical & computational mathematicsType (model theory)01 natural sciencesLinear complementarity problem010101 applied mathematicsOperator splittingValuation of optionsFair valueJump modelEconomicsAsset (economics)0101 mathematicsbusinessMathematical economics
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