An Analysis of the Market Price of Cat Bonds

Abstract
Motivation: Existing models of the market price of cat bonds are often overly exotic or too simplistic. We intend to offer a model that is grounded in theory yet also tractable. We also intend for our analysis of cat bond pricing to shed light on broader issues relating to the theory of risk pricing.

Method. We analyze several years of cat bond prices “when issued.”

Results. We describe the market clearing issuance price of cat bonds as a linear function of expected loss, with parameters that vary by peril and zone.

Conclusions. The results provide a compact form of describing market prices of cat bonds and thus provide a framework for measuring differences in prices across various perils and zones; the results also allow us to measure changes in the price function over time. The results also suggest an overarching theory of risk pricing, in which price depends on two factors: the first factor is the required rate of return on downside risk capital in a portfolio context, and the second factor is the uncertainty of the estimate of the expected loss.

Keywords. Cat bonds; Insurance Linked Securities (ILS); market price of risk; reinsurance

Volume
Spring
Page
1-26
Year
2009
Categories
Financial and Statistical Methods
Asset and Econometric Modeling
Credit Spreads
Financial and Statistical Methods
Extreme Event Modeling
Natural Peril Modeling
Business Areas
Reinsurance
Financial and Statistical Methods
Risk Pricing and Risk Evaluation Models
Publications
Casualty Actuarial Society E-Forum
Prizes
Reinsurance Prize
Authors
Neil M. Bodoff
Documents