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Affiliation(s)
1Department of Finance, University of Nevada Las Vegas, Las Vegas, NV, USA.
2Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV, USA.
2Department of Mathematical Sciences, University of Nevada Las Vegas, Las Vegas, NV, USA.
ABSTRACT
We
consider a rating-based model for the term structure of credit risk
spreads wherein the credit-worthiness of the issuer is represented as a
finite-state continuous time Markov process. This approach entails a
progressive drift in credit quality towards default. A model of the
economy is presented featuring stochastic transition probabilities;
credit instruments are valued via an ultra parabolic Hamilton-Jacobi
system of equations discretized utilizing the method-of-lines finite
difference method. Computations for a callable bond are presented
demonstrating the efficiency of the method.
Cite this paper
References
Choi, S. and Marcozzi, M. (2015) A Regime Switching Model for the Term Structure of Credit Risk Spreads. Journal of Mathematical Finance, 5, 49-57. doi: 10.4236/jmf.2015.51005.
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