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First passage time under a regime-switching jump-diffusion model and its application in the valuation of participating contracts

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초록

We investigate the valuation of participating life insurance policies with default risk under a geometric regime-switching jump-diffu\-sion process. We derive explicit formula for the Laplace transform of the price of participating contracts by solving integro-differential system and then price them by inverting Laplace transforms.

Abstract

We investigate the valuation of participating life insurance policies with default risk under a geometric regime-switching jump-diffu\-sion process. We derive explicit formula for the Laplace transform of the price of participating contracts by solving integro-differential system and then price them by inverting Laplace transforms.

참고문헌 (20)

  1. Joseph Abate, "The Fourier-series method for inverting transforms of probability distributions", Queueing Systems, 10(1-2), pp.5~87 (1992), Springer Science and Business Media LLC[DOI]
  2. E. Briys, "Life insurance in a contingent claim framework: pricing and regulatory implications", Geneva Pap. Risk. Ins. Theory, 19(1), pp.53~72 (1994)
  3. E. Briys, "On the risk of life insurance liabilities: debunking some common pitfalls", J. Risk Ins, 64(4), pp.673~694 (1996)
  4. JOHN BUFFINGTON, "AMERICAN OPTIONS WITH REGIME SWITCHING", International Journal of Theoretical and Applied Finance, 05(05), pp.497~514 (2011), World Scientific Pub Co Pte Lt[DOI]
  5. P. Carr, "Option valuation using the fast Fourier transform", J. Comput. Finan, 2(4), pp.61~73 (1999)
  6. Chi Chung Siu, "VALUING EQUITY-LINKED DEATH BENEFITS IN A REGIME-SWITCHING FRAMEWORK", ASTIN Bulletin, 45(2), pp.355~395 (2015), Cambridge University Press (CUP)[DOI]
  7. Olivier Le Courtois, "The optimal capital structure of the firm with stable Lévy assets returns", Decisions in Economics and Finance, 31(1), pp.51~72 (2008), Springer Science and Business Media LLC[DOI]
  8. Y. Dong, "Fair valuation of life insurance contracts under a correlated jump diusion model", Astin Bull, 41(2), pp.429~447 (2011)
  9. Yinghui Dong, "Fair Valuation of Life Insurance Contracts Under a Two-Sided Jump Diffusion Model", Communications in Statistics - Theory and Methods, 42(21), pp.3926~3948 (2013), Informa UK Limited[DOI]
  10. Y. Dong, "Pricing the zero-coupon bond and its fair premium under a structural credit risk model with jumps", J. Appl. Probab, 48(2), pp.404~419 (2011)[DOI]
  11. Y. Dong, "Correlated default models driven by a multivariate regime-switching shot noise process", IMA J. Manag. Math, 29(4), pp.351~375 (2018)[DOI]
  12. K. Fan, "Pricing dynamic fund protection under hidden Markov models", IMA J. Manag. Math, 29(1), pp.99~117 (2018)[DOI]
  13. A. Grosen, "Life insurance liabilities at market value: an analysis of insolvency risk, bonus policy, and regulatory intervention rules in a barrier option framework", J. Risk Ins, 69(2), pp.63~91 (2002)
  14. Peter Hieber, "Cliquet-style return guarantees in a regime switching Lévy model", Insurance: Mathematics and Economics, 72, pp.138~147 (2017), Elsevier BV[DOI]
  15. Zhuo Jin, "Pricing dynamic fund protections with regime switching", Journal of Computational and Applied Mathematics, 297, pp.13~25 (2016), Elsevier BV[DOI]
  16. M. Kijima, "Inspired by nance", pp.387~410 (2014), Springer
  17. G. Petrella, "An extension of the Euler Laplace transform inversion algorithm with applications in option pricing", Operations Research Letters, 32(4), pp.380~389 (2004), Elsevier BV[DOI]
  18. Tak Kuen Siu, "Fair valuation of participating policies with surrender options and regime switching", Insurance: Mathematics and Economics, 37(3), pp.533~552 (2005), Elsevier BV[DOI]
  19. T. K. Siu, "Pricing participating products under a generalized jump-diusion model", J. Appl. Math. Stoch. Anal, 2008, pp.30~ (2008)[DOI]
  20. Chao Xu, "The pricing of defaultable bonds under a regime-switching jump-diffusion model with stochastic default barrier", Communications in Statistics - Theory and Methods, 48(9), pp.2185~2205 (2018), Informa UK Limited[DOI]

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