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Intensity-based premium evaluation for unemployment insurance products

Francesca Biagini, Andreas Groll and Jan Widenmann

Insurance: Mathematics and Economics, 2013, vol. 53, issue 1, 302-316

Abstract: We present a flexible premium determination method for insurance products, in particular, for unemployment insurance products. The price is determined with the real-world pricing formula and under the assumption that the employment–unemployment progress of an insured person follows an F-doubly stochastic Markov chain. The stochastic intensity processes are estimated for the German labor market, using Cox’s proportional hazards model with time-dependent covariates on a sample of integrated labor market biographies. The estimation procedure is based on a counting process framework with stochastic compensators, which we show to be naturally connected to the class of F-doubly stochastic Markov chains. Based on the statistical analysis, the prices are computed using Monte Carlo simulations.

Keywords: Unemployment insurance; Intensity-based model; F-doubly stochastic Markov chain; Cox proportional hazards model; Benchmark approach (search for similar items in EconPapers)
JEL-codes: C14 J11 J64 J65 (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:insuma:v:53:y:2013:i:1:p:302-316

DOI: 10.1016/j.insmatheco.2013.06.001

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Insurance: Mathematics and Economics is currently edited by R. Kaas, Hansjoerg Albrecher, M. J. Goovaerts and E. S. W. Shiu

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