Pricing Excess-of-loss Reinsurance Contracts Against Catastrophic Loss
AbstractThis paper develops a pricing methodology and pricing estimates for the proposed Federal excess-of- loss (XOL) catastrophe reinsurance contracts. The contracts, proposed by the Clinton Administration, would provide per-occurrence excess-of-loss reinsurance coverage to private insurers and reinsurers, where both the coverage layer and the fixed payout of the contract are based on insurance industry losses, not company losses. In financial terms, the Federal government would be selling earthquake and hurricane catastrophe call options to the insurance industry to cover catastrophic losses in a loss layer above that currently available in the private reinsurance market. The contracts would be sold annually at auction, with a reservation price designed to avoid a government subsidy and ensure that the program would be self supporting in expected value. If a loss were to occur that resulted in payouts in excess of the premiums collected under the policies, the Federal government would use its ability to borrow at the risk-free rate to fund the losses. During periods when the accumulated premiums paid into the program exceed the losses paid, the buyers of the contracts implicitly would be lending money to the Treasury, reducing the costs of government debt. The expected interest on these "loans" offsets the expected financing (borrowing) costs of the program as long as the contracts are priced appropriately. By accessing the Federal government's superior ability to diversify risk inter-temporally, the contracts could be sold at a rate lower than would be required in conventional reinsurance markets, which would potentially require a high cost of capital due to the possibility that a major catastrophe could bankrupt some reinsurers. By pricing the contacts at least to break even, the program would provide for eventual private-market "crowding out" through catastrophe derivatives and other innovative catastrophic risk financing mechanisms. We develop prices for the contracts using two samples of catastrophe losses: (1) historical catastrophic loss experience over the period 1949-1994 as reported by Property Claim Services; and (2) simulated catastrophe losses based on an engineering simulation analysis conducted by Risk Management Solutions. We used maximum likelihood estimation techniques to fit frequency and severity probability distributions to the catastrophic loss data, and then used the distributions to estimate expected losses under the contracts. The reservation price would be determined by adding an administrative expense charge and a risk premium to the expected losses for the specified layer of coverage. We estimate the expected loss component of the government's reservation price for proposed XOL contracts covering the entire U.S., California, Florida, and the Southeast. We used a loss layer of $25-50 billion for illustrative purposes.
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 InfoPaper provided by Wharton School Center for Financial Institutions, University of Pennsylvania in its series Center for Financial Institutions Working Papers with number 98-09.
Date of creation: Jan 1998
Date of revision:
Contact details of provider:
Postal: 3301 Steinberg Hall-Dietrich Hall, 3620 Locust Walk, Philadelphia, PA 19104.6367
Web page: http://fic.wharton.upenn.edu/fic/
More information through EDIRC
Other versions of this item:
- David Cummins & Christopher Lewis & Richard Phillips, 1999. "Pricing Excess-of-Loss Reinsurance Contracts against Cat as trophic Loss," NBER Chapters, in: The Financing of Catastrophe Risk, pages 93-148 National Bureau of Economic Research, Inc.
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.:
- Heston, Steven L, 1993. " Invisible Parameters in Option Prices," Journal of Finance, American Finance Association, vol. 48(3), pages 933-47, July.
- Chang, Carolyn W, 1995. "A No-Arbitrage Martingale Analysis for Jump-Diffusion Valuation," Journal of Financial Research, Southern Finance Association & Southwestern Finance Association, vol. 18(3), pages 351-81, Fall.
- Cummins, J. David & Dionne, Georges & McDonald, James B. & Pritchett, B. Michael, 1990. "Applications of the GB2 family of distributions in modeling insurance loss processes," Insurance: Mathematics and Economics, Elsevier, vol. 9(4), pages 257-272, December.
- Mayers, David & Smith, Clifford W, Jr, 1982. "On the Corporate Demand for Insurance," The Journal of Business, University of Chicago Press, vol. 55(2), pages 281-96, April.
- Merton, Robert C., 1975.
"Option pricing when underlying stock returns are discontinuous,"
787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
- J. David Cummins & Hèlyette Geman, 1993. "An Asian Option to the Valuation of Insurance Futures Contracts," Center for Financial Institutions Working Papers 94-03, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Cummins, J. David & Grace, Elizabeth, 1994. "Tax management and investment strategies of property-liability insurers," Journal of Banking & Finance, Elsevier, vol. 18(1), pages 43-72, January.
- Naik, Vasanttilak & Lee, Moon, 1990. "General Equilibrium Pricing of Options on the Market Portfolio with Discontinuous Returns," Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 493-521.
- Mayers, David & Smith, Clifford W, Jr, 1990. "On the Corporate Demand for Insurance: Evidence from the Reinsurance Market," The Journal of Business, University of Chicago Press, vol. 63(1), pages 19-40, 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.
- 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.
- Epperson, James E., 2008. "Securitizing peanut production risk with catastrophe (CAT) bonds," Faculty Series 44512, University of Georgia, Department of Agricultural and Applied Economics.
- David M. Cutler & Richard J. Zeckhauser, 1997.
"Reinsurance for Catastrophes and Cataclysms,"
NBER Working Papers
5913, National Bureau of Economic Research, Inc.
- J. David Cummins & Christopher M. Lewis, 2002. "Catastrophic Events, Parameter Uncertainty and the Breakdown of Implicit Long-term Contracting in the Insurance Market: The Case of Terrorism Insurance," Center for Financial Institutions Working Papers 02-40, Wharton School Center for Financial Institutions, University of Pennsylvania.
- J. David Cummins & Michael Suher & George Zanjani, 1975. "Federal Financial Exposure to Natural Catastrophe Risk," NBER Chapters, in: Measuring and Managing Federal Financial Risk, pages 61-92 National Bureau of Economic Research, Inc.
- A. K. Bahl & O. Baltzer & A. Rau-Chaplin & B. Varghese & A. Whiteway, 2013. "Achieving Speedup in Aggregate Risk Analysis using Multiple GPUs," Papers 1308.2572, arXiv.org.
- Kent Smetters, 2005. "Insuring Against Terrorism: The Policy Challenge," NBER Working Papers 11038, National Bureau of Economic Research, Inc.
- Torben Andersen, 2001. "Managing Economic Exposures of Natural Disasters: Exploring Alternative Financial Risk Management Opportunities and Instruments," IDB Publications 8934, Inter-American Development Bank.
- Abdel-Raheem F. Fares & Eid Ahmad Abou-Bakr, 2012. "Economics of Insurance against Natural Catastrophes: Over-Burdened Arab Insurers," Review of Economics & Finance, Better Advances Press, Canada, vol. 2, pages 95-105, August.
- Froot, Kenneth A. & O'Connell, Paul G.J., 2008.
"On the pricing of intermediated risks: Theory and application to catastrophe reinsurance,"
Journal of Banking & Finance,
Elsevier, vol. 32(1), pages 69-85, January.
- Kenneth A. Froot & Paul G. J. O'Connell, 1997. "On The Pricing of Intermediated Risks: Theory and Application to Catastrophe Reinsurance," NBER Working Papers 6011, National Bureau of Economic Research, Inc.
- Kenneth A. Froot & Paul G.J. O'Connell, . "On the Pricing of Intermediated Risks: Theory and Application to Catastrophe Reinsurance," Center for Financial Institutions Working Papers 97-24, Wharton School Center for Financial Institutions, University of Pennsylvania.
- Krämer, Walter & Schich, Sebastian T., 2005.
"Large-scale disasters and the insurance industry,"
2005,11, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Walter Kraemer & Sebastian Schich, 2008. "Large-Scale Disasters and the Insurance Industry," CESifo Working Paper Series 2243, CESifo Group Munich.
- Prof. Dr. Walter Krämer & Sebastian Schich, . "Large - scaledisasters and the insurance industry," Working Papers 4, Business and Social Statistics Department, Technische Universität Dortmund, revised Mar 2005.
- Marc Atlan & Hélyette Geman & Dilip Madan & Marc Yor, 2007. "Correlation and the pricing of risks," Annals of Finance, Springer, vol. 3(4), pages 411-453, October.
- Torben Andersen, 2002. "Innovative Financial Instruments for Natural Disaster Risk Management," IDB Publications 30738, Inter-American Development Bank.
- M. Martin Boyer & Charles M. Nyce, 2011. "An Industrial Organization Theory of Risk Sharing," CIRANO Working Papers 2011s-78, CIRANO.
- James F. Moore, 1999. "Tail Estimation and Catastrophe Security Pricing: Can We Tell What Target We Hit if We Are Shooting in the Dark?," Center for Financial Institutions Working Papers 99-14, Wharton School Center for Financial Institutions, University of Pennsylvania.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Thomas Krichel).
If references are entirely missing, you can add them using this form.