American Put Options on Zero-Coupon Bonds and a Parabolic Free Boundary Problem

American Put Options on Zero-Coupon Bonds and a Parabolic Free Boundary Problem

Year:    2004

Author:    Hongtao Yang

International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 2 : pp. 203–215

Abstract

In this paper we study American put options on zero-coupon bonds under the CIR model of short interest rates. The uniqueness of the optimal exercise boundary and the solution existence and uniqueness of a degenerate parabolic free boundary problem are established. Numerical examples are also presented to confirm theoretical results.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2004-IJNAM-975

International Journal of Numerical Analysis and Modeling, Vol. 1 (2004), Iss. 2 : pp. 203–215

Published online:    2004-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

Keywords:    American put option zero-coupon bond optimal exercise boundary free boundary problem uniqueness existence.

Author Details

Hongtao Yang