Journal of Applied Mathematics and Decision Sciences
Volume 2009 (2009), Article ID 215163, 11 pages
doi:10.1155/2009/215163
Research Article

Valuation for an American Continuous-Installment Put Option on Bond under Vasicek Interest Rate Model

Guoan Huang,1 Guohe Deng,2 and Lihong Huang3

1Department of Computer Science, Guilin College of Aerospace Technology, Guilin 541004, China
2School of Mathematics Science, Guangxi Normal University, Guilin 541004, China
3College of Mathematics and Econometrics, Hunan University, Changsha 410082, China

Received 2 December 2008; Accepted 6 March 2009

Academic Editor: Lean Yu

Copyright © 2009 Guoan Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The valuation for an American continuous-installment put option on zero-coupon bond is considered by Kim's equations under a single factor model of the short-term interest rate, which follows the famous Vasicek model. In term of the price of this option, integral representations of both the optimal stopping and exercise boundaries are derived. A numerical method is used to approximate the optimal stopping and exercise boundaries by quadrature formulas. Numerical results and discussions are provided.