Journal of Applied Mathematics
Volume 2013 (2013), Article ID 621371, 9 pages
http://dx.doi.org/10.1155/2013/621371
Research Article

Pricing Options with Credit Risk in Markovian Regime-Switching Markets

Jinzhi Li1 and Shixia Ma2

1College of Sciences, Minzu University of China, Beijing 100081, China
2College of Sciences, Hebei University of Technology, Tianjin 300401, China

Received 16 February 2013; Revised 16 May 2013; Accepted 20 May 2013

Academic Editor: Shan Zhao

Copyright © 2013 Jinzhi Li and Shixia Ma. 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

This paper investigates the valuation of European option with credit risk in a reduced form model when the stock price is driven by the so-called Markov-modulated jump-diffusion process, in which the arrival rate of rare events and the volatility rate of stock are controlled by a continuous-time Markov chain. We also assume that the interest rate and the default intensity follow the Vasicek models whose parameters are governed by the same Markov chain. We study the pricing of European option and present numerical illustrations.