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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.

Suggested Citation

  • 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. 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.
    2. Lin, X. Sheldon & Wang, Tao, 2009. "Pricing perpetual American catastrophe put options: A penalty function approach," Insurance: Mathematics and Economics, Elsevier, vol. 44(2), pages 287-295, April.
    3. Gerber, Hans U. & Shiu, Elias S. W., 1996. "Actuarial bridges to dynamic hedging and option pricing," Insurance: Mathematics and Economics, Elsevier, vol. 18(3), pages 183-218, November.
    4. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
    5. Christian Gollier, 2005. "Some Aspects of the Economics of Catastrophe Risk Insurance," CESifo Working Paper Series 1409, CESifo Group Munich.
    6. Cummins, J. David & Lalonde, David & Phillips, Richard D., 2004. "The basis risk of catastrophic-loss index securities," Journal of Financial Economics, Elsevier, vol. 71(1), pages 77-111, January.
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    Cited by:

    1. Anwar, Sajid & Zheng, Mingli, 2012. "Competitive insurance market in the presence of ambiguity," Insurance: Mathematics and Economics, Elsevier, vol. 50(1), pages 79-84.
    2. 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.
    3. Meglena Jeleva & Jean-Marc Tallon, 2016. "Ambiguïté, comportements et marchés financiers," Post-Print halshs-01109639, HAL.
    4. repec:bla:jrinsu:v:83:y:2016:i:4:p:811-847 is not listed on IDEAS
    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. repec:eee:insuma:v:77:y:2017:i:c:p:14-23 is not listed on IDEAS

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