In this paper, we consider a general Levy risk model with two-sided jumps and a constant dividend barrier. We connect the ruin problem of the ex-dividend risk process with the first passage problem of the Levy process reflected at its running maximum. We prove that if the positive jumps of the...

In this article, we consider a regulated market and explore the default events. By using a so-called reflected Ornstein-Uhlenbeck process with two-sided barriers to formulate the price dynamics, we derive the expression on the conditional default probability. In the cases of single observation...

We propose a tractable model for the exchange rate in a target zone with realignment. The target zone exchange rate dynamics is assumed to obey a bounded regular diffusion with two-sided unattainable barriers. The realignment is modeled as a continuous-time two-state Markov chain. Under the...

In this paper, we introduce tractable dynamic models for financial variables (such as interest rates, foreign exchange rates, commodity prices, etc.) with capturing both jump risk and boundedness of the price fluctuation in a regulated market. For the jump risk, we use a compound Poisson process...