In this paper, we present a stochastic model for disability insurance contracts. The model is based on a discrete time non-homogeneous semi-Markov process (DTNHSMP) to which the backward recurrence time process is introduced. This permits a more exhaustive study of disability evolution and a...

In this paper a stochastic model for disability insurance contracts is presented. The model is based on a discrete time non-homogeneous semi-Markov process to which the backward recurrence time process is joined. This permits us to study in a more complete way the disability evolution and to...

In this paper, we assume that the log return of the underlying asset follows a semi-Markov process, then from the knowledge of the kernel we derive an explicit expression for the value of the option and for the bare risk in the case of the European call (put) option and, by means of a recursive...

We propose a semi-Markov modulated interest rate model. We assume that the switching process is a semi-Markov process with finite state space and the modulated process is a diffusive process. Classical models such as those by Vasicek and CIR are generalized.

In this paper, we investigate the impact of the fiscal system on wealth redistribution in Germany, Greece, and Italy. We demonstrate the application of the model to the data of the quoted countries. We obtain the gross income distributions by starting from the net income distributions downloaded...

In this paper we propose a modification of the Dynamic Theil's Entropy that considers the inequality in the whole population. We decompose it into three addends and we show how to compute them within a Markov model of income evolution. In this way the income inequality can be measured in the...