This paper extends the class of deterministic volatility Heath-Jarrow-Morton (1992) models to a Markov chain stochastic … volatility framework allowing for jump discontinuities and a variety of deformations of the term structure of forward rate … volatilities. Analytical solutions for the dynamics of the volatility term structure are obtained. Semimartingale decompositions of …

from a given set defined by the parametric volatility specification and the structure of a continuous time Markov chain that … modulates the volatility function. The first stochastic volatility specification generates jump discontinuities in volatility and … shape-preserving evolution of the volatility term structure in thefuture. The second specification allows, in addition, for …