Journal of Applied Mathematics
Volume 2013 (2013), Article ID 287425, 9 pages
Research Article

Multiscale Analysis on the Pricing of Intensity-Based Defaultable Bonds

1Department of Mathematics, Yonsei University, Seoul 120-749, Republic of Korea
2Department of Applied Mathematics, Kongju National University, Gongju 314-701, Republic of Korea

Received 4 February 2013; Accepted 19 April 2013

Academic Editor: Alberto Cabada

Copyright © 2013 Sun-Hwa Cho 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.


This paper studies the pricing of intensity-based defaultable bonds where the volatility of default intensity is assumed to be random and driven by two different factors varying on fast and slow time scales. Corrections to the constant intensity of default are obtained and then how these corrections influence the term structure of interest rate derivatives is shown. The results indicate that the fast scale correction produces a more significant impact on the bond price than the slow scale correction and the impact tends to increase as time to maturity increases.