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Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing

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  • Zhu, Wenge

Abstract

To explain several stylized facts concerning catastrophe-linked securities premium spread, we propose an intertemporal equilibrium model by allowing agents to act in a robust control framework against model misspecification with respect to rare events. We have presented closed-form pricing formulas in some special cases and tested the model using empirical data and simulation.

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  • Zhu, Wenge, 2011. "Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing," Insurance: Mathematics and Economics, Elsevier, vol. 49(1), pages 38-46, July.
    • Handle: RePEc:eee:insuma:v:49:y:2011:i:1:p:38-46
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    References listed on IDEAS

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    1. Lars Peter Hansen & Thomas J Sargent, 2014. "Robust Control and Model Uncertainty," World Scientific Book Chapters, in: UNCERTAINTY WITHIN ECONOMIC MODELS, chapter 5, pages 145-154, World Scientific Publishing Co. Pte. Ltd..
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    8. J. David Cummins & Mary A. Weiss, 2009. "Convergence of Insurance and Financial Markets: Hybrid and Securitized Risk‐Transfer Solutions," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(3), pages 493-545, September.
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    Cited by:

    1. Han, Nan-Wei & Hung, Mao-Wei, 2021. "The annuity puzzle and consumption hump under ambiguous life expectancy," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 76-88.
    2. Anwar, Sajid & Zheng, Mingli, 2012. "Competitive insurance market in the presence of ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 79-84.
    3. Chang-Chih Chen & Chia-Chien Chang, 2019. "How Big are the Ambiguity-Based Premiums on Mortgage Insurances?," The Journal of Real Estate Finance and Economics, Springer, vol. 58(1), pages 133-157, January.
    4. Jeleva, Meglena & Tallon, Jean-Marc, 2016. "Ambiguïté, comportements et marchés financiers," L'Actualité Economique, Société Canadienne de Science Economique, vol. 92(1-2), pages 351-383, Mars-Juin.
    5. Oliver Walker & Simon Dietz, 2012. "Ambiguity and insurance: robust capital requirements and premiums," GRI Working Papers 97, Grantham Research Institute on Climate Change and the Environment.
    6. 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.
    7. Denis-Alexandre Trottier & Van Son Lai & Anne-Sophie Charest, 2017. "CAT Bond Spreads Via HARA Utility and Nonparametric Tests," Working Papers 2017-002, Department of Research, Ipag Business School.
    8. Xiaowei Chen & Hong Li & Yufan Lu & Rui Zhou, 2024. "Unveiling Nonlinear Dynamics in Catastrophe Bond Pricing: A Machine Learning Perspective," Papers 2405.00697, arXiv.org, revised Aug 2024.
    9. Denis-Alexandre Trottier & Van Son Lai, 2017. "Reinsurance or CAT Bond? How to Optimally Combine Both," Working Papers 2017-003, Department of Research, Ipag Business School.
    10. Alexander Braun, 2016. "Pricing in the Primary Market for Cat Bonds: New Empirical Evidence," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 83(4), pages 811-847, December.
    11. Simon Dietz & Falk Niehörster, 2021. "Pricing ambiguity in catastrophe risk insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 46(2), pages 112-132, September.
    12. Zhu, Wenge, 2017. "Wanting robustness in insurance: A model of catastrophe risk pricing and its empirical test," Insurance: Mathematics and Economics, Elsevier, vol. 77(C), pages 14-23.

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