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Regime-switching pure jump processes and applications in the valuation of mortality-linked products

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  • Yinghui Dong
  • Kam Chuen Yuen
  • Guojing Wang

Abstract

In this paper, we study the pricing of longevity bonds and an insurance contract on multiple lives in a regime-switching market driven by an underlying continuous-time Markov chain. For modeling dependent mortality, we make use of a Markov chain and some shot noise processes with regime switching. By using a martingale method, we give semi-analytical expressions for the price of longevity bonds and the premium of an insurance contract on the kth person to die.

Suggested Citation

  • Yinghui Dong & Kam Chuen Yuen & Guojing Wang, 2018. "Regime-switching pure jump processes and applications in the valuation of mortality-linked products," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(6), pages 1372-1391, March.
  • Handle: RePEc:taf:lstaxx:v:47:y:2018:i:6:p:1372-1391
    DOI: 10.1080/03610926.2017.1319483
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