The dual risk model under a mixed ratcheting and periodic dividend strategy

Abstract

In this article, we consider an extended dual risk model under a mixed dividend strategy, which is a combination of ratcheting dividend strategy and periodic dividend strategy. The expected present value of dividends paid up to ruin is studied by using Lévy fluctuation theory, and its accurate expression is given in terms of scale functions. Numerical analysis under three different gain distributions is given for characterizing the impact of parameters on the expected present value of dividends paid up to ruin.