Ambiguity aversion and an intertemporal equilibrium model of catastrophe-linked securities pricing
AbstractTo 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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Bibliographic InfoArticle provided by Elsevier in its journal Insurance: Mathematics and Economics.
Volume (Year): 49 (2011)
Issue (Month): 1 (July)
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Web page: http://www.elsevier.com/locate/inca/505554
IM30 IM51 IE11 Ambiguity aversion Catastrophe-linked securities Esscher transform Robust control theory Gerber-Shiu penalty function;
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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- 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.
- 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.
- J. David Cummins & David Lalonde & Richard D. Phillips, 2000.
"The Basis Risk of Catastrophic-Loss Index Securities,"
Center for Financial Institutions Working Papers
00-22, Wharton School Center for Financial Institutions, University of Pennsylvania.
- 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.
- Christian Gollier, 2005. "Some Aspects of the Economics of Catastrophe Risk Insurance," CESifo Working Paper Series 1409, CESifo Group Munich.
- Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
- Oliver Walker & Simon Dietz, 2012. "Ambiguity and insurance: robust capital requirements and premiums," Grantham Research Institute on Climate Change and the Environment Working Papers 97, Grantham Research Institute on Climate Change and the Environment.
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