The extant literature on first passage problems of reflected hyper-exponential jump diffusion processes (RHEPs) lacks efficiently computable formulae for the Laplace transform of the joint distribution of the RHEP and its first passage time, cumulative distribution function of the overshoot,...

We study the cost of shocks, i.e., jump risk, with respect to reserve management when the reserve process is formulated as a drift switching jump-diffusion with a reflecting barrier at 0. Inspired by the Brownian drift switching model, our model results in a more realistic dynamic behavior of...

We examine the notion that financial products which cater to investors' behavioral biases can attain popularity and yield substantial profits for issuers. Our setting considers options with a callback feature, namely, callable bull/bear contracts (CBBCs). These contracts have high skewness when...

There exists strong commonality in credit risk across sovereigns [Pan and Singleton (2008); Longstaff, Pan, Pedersen and Singleton (2011)]. This paper embeds this commonality into a rating-based, reduced-form model. A parsimonious version of the rating-based model can adequately capture the...

In this paper, we model the exchange rate in a target zone by a so-called reflected Ornstein-Uhlenbeck process. A simulation-based maximum likelihood estimation strategy of the parameters involved in the model is proposed and studied. The model fits data on exchange rates in the European...

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...

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...