This paper provides regime-switching stochastic volatility extensions of the LIBOR market model. First, the instantaneous forward LIBOR volatility is modulated by a continuous time homogeneous Markov chain. In a second parameterization, the volatility is modelled by a square root process with a...

In this paper, we extend the earlier results of Jeanblanc and Valchev (2003) in the single name case to the case of multiple defaults of the issuers in a concentrated industry or homo- geneous bond market. We provide solutions for the pairwise default correlations and credit spreads in an...