Graphic and Numerical Evolution of a Bonus-Malus System via Markov Chain Models

Mohamed Yasser Bounnite () and Abdelaziz Nasroallah ()
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Mohamed Yasser Bounnite: Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390Marrakesh, 40000, Morocco
Abdelaziz Nasroallah: Department of Mathematics, Faculty of Sciences Semlalia, Cadi Ayyad University, B.P. 2390Marrakesh, 40000, Morocco

Asia-Pacific Journal of Risk and Insurance, 2020, vol. 14, issue 1, 9

Abstract: This paper describes an online solution for visualizing the simulation of a discrete time Markov chain using an animated graph. Based on the D3.js library, the development of this solution offers the user the choice between a presentation based on the concept of a probabilistic graph oriented and a presentation of the transitions in a matrix framework. As an application the solution helps to describe the dynamics of individual policyholders in a Bonus-Malus system of automobile insurance.

Keywords: Monte Carlo simulation; Markov chain; stationary regime; Thailand Bonus-Malus System; insurance; graphic animation (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1515/apjri-2018-0041

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