An Arbitrage Approach to the Pricing of Catastrophe Options Involving the Cox Process
AbstractWe investigate the valuation and hedging of catastrophe options, whose claim arrival process is modeled by the Cox process or a doubly stochastic Poisson process. Employing the non-arbitrage principle we obtain closed form formula for the pricing of the option. Various hedging parameters are also computed.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Hitotsubashi University in its journal Hitotsubashi Journal of Economics.
Volume (Year): 49 (2008)
Issue (Month): 2 (December)
catastrophe options; Cox process; pricing;
Find related papers by JEL classification:
- G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
- C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
- G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
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.:
- Kenneth A. Froot, 2001.
"The Market for Catastrophe Risk: A Clinical Examination,"
NBER Working Papers
8110, National Bureau of Economic Research, Inc.
- 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.
- Kenneth A. Froot, 1999. "The Market for Catastrophe Risk: A Clinical Examination," NBER Working Papers 7286, National Bureau of Economic Research, Inc.
- 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.
- 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.
- Cox, Samuel H. & Fairchild, Joseph R. & Pedersen, Hal W., 2004. "Valuation of structured risk management products," Insurance: Mathematics and Economics, Elsevier, vol. 34(2), pages 259-272, April.
- Lee, Jin-Ping & Yu, Min-Teh, 2007. "Valuation of catastrophe reinsurance with catastrophe bonds," Insurance: Mathematics and Economics, Elsevier, vol. 41(2), pages 264-278, September.
- Dwight M. Jaffee & Thomas Russell, 1996. "Catastrophe Insurance, Capital Markets and Uninsurable Risks," Center for Financial Institutions Working Papers 96-12, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics,
Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Jaimungal, Sebastian & Wang, Tao, 2006. "Catastrophe options with stochastic interest rates and compound Poisson losses," Insurance: Mathematics and Economics, Elsevier, vol. 38(3), pages 469-483, June.
- Vaugirard, Victor E., 2003. "Pricing catastrophe bonds by an arbitrage approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(1), pages 119-132.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Digital Resources Section, Hitotsubashi University Library).
If references are entirely missing, you can add them using this form.