A Front-Fixing Finite Element Method for the Valuation of American Put Options on Zero-Coupon Bonds

A Front-Fixing Finite Element Method for the Valuation of American Put Options on Zero-Coupon Bonds

Year:    2012

Author:    A. D. Holmes, H. Yang

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 777–792

Abstract

A front-fixing finite element method is developed for the valuation of American put options on zero-coupon bonds under a class of one-factor models of short interest rates. Numerical results are presented to examine our method and to compare it with the usual finite element method. A conjecture concerning the behavior of the early exercise boundary near the option expiration date is proposed according to the numerical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-IJNAM-658

International Journal of Numerical Analysis and Modeling, Vol. 9 (2012), Iss. 4 : pp. 777–792

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    American put option zero-coupon bond free boundary problem front-fixing method finite element method.

Author Details

A. D. Holmes

H. Yang