An inhomogeneous semi-Markov model for the term structure of credit risk spreads

作者: Aglaia Vasileiou , P.-C. G. Vassiliou

DOI: 10.1239/AAP/1143936146

关键词: Markov modelForward algorithmProbability measureMathematicsContinuous-time Markov chainActuarial scienceEconometricsCredit riskAdditive Markov chainCorporate bondMarkov property

摘要: We model the evolution of credit migration a corporate bond as an inhomogeneous semi-Markov chain. The valuation defaultable is done with use forward probability no default up to maturity time. It proved that, under measure, property maintained. find functional relationships between transition sequences and real-world sequences. stochastic monotonicity properties model, which play prominent role in these issues, are studied detail. Finally, we study term structure spread, provide algorithm for estimation probabilities transitions risk premium assumptions, present method

参考文章(49)
Sally McClean, Erin Montgomery, Estimation for Semi-Markov Manpower Models in a Stochastic Environment Semi-Markov Models and Applications. pp. 219- 227 ,(1999) , 10.1007/978-1-4613-3288-6_13
David Lando, Credit Risk Modeling ,(2007)
Panagiotis C. G. Vassiliou, Helena Tsakiridou, The Perturbed Non-Homogeneous Semi-Markov System Semi-Markov Models and Applications. pp. 253- 265 ,(1999) , 10.1007/978-1-4613-3288-6_16
D. J. Bartholomew, Social applications of semi-Markov processes Springer US. pp. 463- 474 ,(1986) , 10.1007/978-1-4899-0574-1_28
Sally McClean, Semi-Markov models for manpower planning Springer, Boston, MA. pp. 283- 300 ,(1986) , 10.1007/978-1-4899-0574-1_15
N. Limnios, Jacques Janssen, Semi-Markov Models and Applications ,(2011)
Roger A Horn, Topics in Matrix Analysis ,(2010)
Tomasz R. Bielecki, Marek Rutkowski, Credit Risk: Modeling, Valuation and Hedging ,(2001)
Peter Tufano, Sanjiv Rangan Das, Pricing Credit-Sensitive Debt When Interest Rates, Credit Ratings and Credit Spreads are Stochastic Social Science Research Network. ,(1996)