We consider a discrete time risk model where dividends are paid to insureds and the claim size has a discrete phase-type distribution, but the claim sizes vary according to an underlying Markov process called an environment process. In addition, the probability of paying the next dividend is...

A catastrophe equity put (CatEPut) option is a catastrophe derivative that allows insurance companies to raise equity capital when they face catastrophe losses. This study focuses on a pricing model for a CatEPut options. First, unlike previous research, this study provides a CatEPut option...

In the fields of behavioural economics and finance, several researchers show that the time preference of an investor is related to his/her attitude towards risky assets. This article investigates whether the equity premium puzzle laid out in Mehra and Prescott (1985) can be accounted for when...

This paper investigates executive earnings-based bonuses in a general equilibrium economy. Unlike the existing study, combining the two frameworks in the fields of accounting and economics allows us to examine different earnings characteristics determined by the correlation between...

External barrier options are two-asset options where the payoff is defined on one asset and the barrier is defined on another asset. In this paper, we derive the Laplace transforms of the prices and deltas for the external single and double barrier options where the underlying asset prices...

In this work, it is assumed that the underlying asset price follows Heston's stochastic volatility model and explicit solutions for the prices of geometric Asian options with fixed and floating strikes are derived. This approach has to deal with the derivation of the generalized joint Fourier...

Downton’s bivariate exponential distribution is one of the most important bivariate distributions in reliability theory. In this paper a simple representation for Downton’s bivariate exponential random vector is given. As an application of this representation, we consider a reliability model...

We derive semi-analytic solutions for power option prices under the Heston model; specifically, the pricing formula is shown to be valid whenever the power of the underlying asset price has a finite moment. Unlike the majority of stochastic volatility models, there remains a significant problem...