The derivation of mean first passage times in Markov chains involves the solution of a family of linear equations. By exploring the solution of a related set of equations, using suitable generalized inverses of the Markovian kernel I - P, where P is the transition matrix of a finite irreducible...

This paper analyzes a large class of processes for the short-term interest rate that are derived in a discrete-time equilibrium framework. The dynamics of interest rates and yields are driven by the dynamics of the conditional volatility of the state variable. Under appropriate parameter...