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http://dx.doi.org/10.14317/jami.2013.711

DEFAULTABLE BOND PRICING USING REGIME SWITCHING INTENSITY MODEL  

Goutte, Stephane (Laboratoire de Probabilites et Modeles Aleatoires (LPMA), Universite Paris Diderot)
Ngoupeyou, Armand (Laboratoire de Probabilites et Modeles Aleatoires (LPMA), Universite Paris Diderot)
Publication Information
Journal of applied mathematics & informatics / v.31, no.5_6, 2013 , pp. 711-732 More about this Journal
Abstract
In this paper, we are interested in finding explicit numerical formulas to evaluate defaultable bonds prices of firms. For this purpose, we use a default intensity whose values depend on the credit rating of these firms. Each credit rating corresponds to a state of the default intensity. Then, this regime switches as soon as one of the credit rating of a firm also changes. Moreover, this regime switching default intensity model allows us to capture well some market features or economics behaviors. Thus, we obtain two explicit different formulas to evaluate the conditional Laplace transform of a regime switching Cox Ingersoll Ross model. One using the property of semi-affine of the model and the other one using analytic approximation. We conclude by giving some numerical illustrations of these formulas and real data estimation results.
Keywords
Defaultable bond; Regime switching; Conditional Laplace Transform; Credit rating; Markov copula;
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