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RESEARCH PRODUCT

A Comparison and Survey of Finite Difference Methods for Pricing American Options Under Finite Activity Jump-Diffusion Models

Santtu SalmiJari ToivanenJari Toivanen

subject

Iterative methodNumerical analysisComplementarity (molecular biology)Jump diffusionFinite difference methodJumpFinite differenceApplied mathematicsLinear complementarity problemMathematics

description

Partial-integro differential formulations are often used for pricing American options under jump-diffusion models. A survey on such formulations and numerical methods for them is presented. A detailed description of six efficient methods based on a linear complementarity formulation and finite difference discretizations is given. Numerical experiments compare the performance of these methods for pricing American put options under finite activity jump models.

https://doi.org/10.2139/ssrn.2013918