Symmetry results between call and put options have been widely studied in equity markets. We provide similar symmetry results between caps and floors in a Heath–Jarrow–Morton, a LIBOR and a forward price model, driven by time-inhomogeneous Lévy processes. On the way, we review the basic...

This paper considers a Markov-modulated jump-diffusion risk model with randomized observation periods and threshold dividend. A second order integro-differential system of equations that characterizes the expected discounted dividend payments is obtained. As a closed-form solution does not...

We provide closed-form solutions for a continuous time, Markov-modulated jump diffusion model in a general equilibrium framework for options prices under a variety of jump diffusion specifications. We further demonstrate that the two-state model provides the leptokurtic return features,...