A Robust Spectral Method for Pricing of American Put Options on Zero-Coupon Bonds

A Robust Spectral Method for Pricing of American Put Options on Zero-Coupon Bonds

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 126–138

Abstract

American put options on a zero-coupon bond problem is reformulated as a linear complementarity problem of the option value and approximated by a nonlinear partial differential equation. The equation is solved by an exponential time differencing method combined with a barycentric Legendre interpolation and the Krylov projection algorithm. Numerical examples shows the stability and good accuracy of the method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/eajam.170516.201017a

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 1 : pp. 126–138

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    Interest rate model American put bond options zero-coupon bond barycentric Legendre method Greeks.

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