Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=54072#.VOBeICzQrzE Author(s) Seungmook Choi 1 , Michael D. Marcozzi 2 Affiliation(s) 1 Department of Finance, University of Nevada Las Vegas, Las Vegas, NV, USA . 2 Department 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 met...
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