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...

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...

In this note, we point out some errors in Section 3 of our earlier paper “Levy risk model with two-sided jumps and a barrier dividend strategy” published in Insurance: Mathematics and Economics, 50(2): 280-291, 2012. Specifically, we find that the optimal barrier does not depend on initial...

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...

We propose a new numerical scheme for a class of one-dimensional reflected stochastic differential equations (SDEs) by virtue of their explicit solutions, which enables us to carry out the simulation of this class of reflected SDEs by simulating some related SDEs without reflections. The new...

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...