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A canonical first passage time model to pricing nature-linked bonds

Author

Listed:
  • Victor Vaugirard

    (TEAM-CNRS University of Paris at Sorbonne)

Abstract

This paper shows that pricing catastrophe bonds boils down to computing first-passage time distributions of jump-diffusion processes. It derives a generic valuation expression by assuming that the jump risk is not systematic and then performs simulations, which can stress the sensitivity of insurance bond values to changes in underlying parameters.

Suggested Citation

  • Victor Vaugirard, 2004. "A canonical first passage time model to pricing nature-linked bonds," Economics Bulletin, AccessEcon, vol. 7(2), pages 1-7.
    • Handle: RePEc:ebl:ecbull:eb-04g10002
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    References listed on IDEAS

    as
    1. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    2. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    3. Froot, Kenneth A., 2001. "The market for catastrophe risk: a clinical examination," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 529-571, May.
    4. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    5. Lucas, Robert E, Jr, 1978. "Asset Prices in an Exchange Economy," Econometrica, Econometric Society, vol. 46(6), pages 1429-1445, November.
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    Cited by:

    1. Sukono & Hafizan Juahir & Riza Andrian Ibrahim & Moch Panji Agung Saputra & Yuyun Hidayat & Igif Gimin Prihanto, 2022. "Application of Compound Poisson Process in Pricing Catastrophe Bonds: A Systematic Literature Review," Mathematics, MDPI, vol. 10(15), pages 1-19, July.
    2. Krzysztof Burnecki & Mario Nicoló Giuricich, 2017. "Stable Weak Approximation at Work in Index-Linked Catastrophe Bond Pricing," Risks, MDPI, vol. 5(4), pages 1-19, December.
    3. Krzysztof Burnecki & Marek Teuerle & Martyna Zdeb, 2025. "Modelling and valuation of catastrophe bonds across multiple regions," Papers 2512.08890, arXiv.org.
    4. Ben Ammar, Semir & Braun, Alexander & Eling, Martin, 2015. "Alternative Risk Transfer and Insurance-Linked Securities: Trends, Challenges and New Market Opportunities," I.VW HSG Schriftenreihe, University of St.Gallen, Institute of Insurance Economics (I.VW-HSG), volume 56, number 56.
    5. Giraudo, Maria Teresa, 2009. "An approximate formula for the first-crossing-time density of a Wiener process perturbed by random jumps," Statistics & Probability Letters, Elsevier, vol. 79(13), pages 1559-1567, July.
    6. Eckhard Platen & David Taylor, 2016. "Loading Pricing of Catastrophe Bonds and Other Long-Dated, Insurance-Type Contracts," Papers 1610.09875, arXiv.org.
    7. Braun, Alexander, 2011. "Pricing catastrophe swaps: A contingent claims approach," Insurance: Mathematics and Economics, Elsevier, vol. 49(3), pages 520-536.

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    Keywords

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    JEL classification:

    • G1 - Financial Economics - - General Financial Markets
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling

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