Revistes Publicacions URV: SORT - Statistics and Operations Research Transactions> 2014

Stochastic cash flows modelled by homogeneous and non-homogeneous discrete time backward semi-Markov reward processes

  • Identification data

    Identifier: RP:2411
    Handle: https://hdl.handle.net/20.500.11797/RP2411
    Authors:
    Volpe di Prignano, ErnestoManca, RaimondoJanssen, JacquesGismondi, Fulvio
    Abstract:
    The main aim of this paper is to give a systematization on the stochastic cash flows evolution. The tools that are used for this purpose are discrete time semi-Markov reward processes. The paper is directed not only to semi-Markov researchers but also to a wider public, presenting a full treatment of these tools both in homogeneous and non-homogeneous environment. The main result given in the paper is the natural correspondence of the stochastic cash flows with the semi-Markov reward processes. Indeed, the semi-Markov environment gives the possibility to follow a multi-state random system in which the randomness is not only in the transition to the next state but also in the time of transition. Furthermore, rewards permit the introduction of a financial environment into the model. Considering all these properties, any stochastic cash flow can be naturally modelled by means of semi-Markov reward processes. The backward case offers the possibility of considering in a complete way the duration inside a state of the studied system and this fact can be very useful in the evaluation of insurance contracts

  • Others:

    URV's Author/s: Volpe di Prignano, Ernesto Manca, Raimondo Janssen, Jacques Gismondi, Fulvio
    Keywords: Stochastic cash flows, insurance contracts, discrete time backward semi-Markov processes, reward processes, homogeneous and non-homogeneous processes
    Abstract: The main aim of this paper is to give a systematization on the stochastic cash flows evolution. The tools that are used for this purpose are discrete time semi-Markov reward processes. The paper is directed not only to semi-Markov researchers but also to a wider public, presenting a full treatment of these tools both in homogeneous and non-homogeneous environment. The main result given in the paper is the natural correspondence of the stochastic cash flows with the semi-Markov reward processes. Indeed, the semi-Markov environment gives the possibility to follow a multi-state random system in which the randomness is not only in the transition to the next state but also in the time of transition. Furthermore, rewards permit the introduction of a financial environment into the model. Considering all these properties, any stochastic cash flow can be naturally modelled by means of semi-Markov reward processes. The backward case offers the possibility of considering in a complete way the duration inside a state of the studied system and this fact can be very useful in the evaluation of insurance contracts
    Journal publication year: 2014
    Publication Type: info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article

  • Keywords:

    Stochastic cash flows, insurance contracts, discrete time backward semi-Markov processes, reward processes, homogeneous and non-homogeneous processes

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