The market for catastrophe risk: a clinical examination☆
Introduction
Hurricanes, earthquakes, wind and ice storms, floods, etc. have long been known to cause large and unexpected losses to owners of physical capital. Recently, it has become widely appreciated that a single hurricane or earthquake could result in damages of $50–$100 billion. Given the growth rates in physical asset values and in population in high-risk zones, distribution of catastrophe event losses continues to grow1.
Because households are risk averse, they have a strong incentive to share their risks with others through the purchase of insurance. Corporations, depending on their level of concern with risk management, also have an incentive to purchase insurance. Insurers are particularly motivated purchasers of reinsurance since they would otherwise become concentrated warehouses of catastrophic exposures. If corporations in general and insurers in particular behave in a risk averse manner with respect to these exposures, then they treat severe losses as expectationally more costly than moderate losses. One would therefore expect that reinsurance is focused on catastrophic outcomes. Moreover, since cat event losses are uncorrelated with (and perhaps even independent of) financial wealth, the premiums for such catastrophic protection should, if markets are perfect, approximate expected losses.
This paper explores these propositions, provides both large-sample and clinical reinsurance data on their veracity, and then attempts to understand why they fail. We first use evidence from a large and unique dataset of reinsurance transactions to show that protection in general is far more limited and prices are far higher than can be readily explained by the theory. We then try to understand these deviations better using clinical information. We look at several recent, widely-discussed transactions by USAA (one of the largest insurance companies in the US) and the California Earthquake Authority (a state insurance pool set up to help fund earthquake losses). They are among the first to back reinsurance with dedicated collateral supplied by bondholders. Traditionally, reinsurance contracts have been backed by the general credit of reinsurers, who use equity in ongoing reinsurance businesses to fund themselves. These newer bond transactions display the features mentioned above, i.e., high prices and limited quantities. But the process of innovation that they represent is in itself interesting, reveling clues about the imperfections and inefficiencies of the reinsurance marketplace that economists’ models tend to miss.
The paper then turns to develop alternative hypotheses, eight in total. The majority of these focus on distortions on the supply side, but several suggest problems with the demand side as well. The most important explanations concern supply-side phenomena of capital market imperfections facing reinsurers and the exercise of market power by reinsurers.
In many respects, the evidence is most interesting for its implications beyond that of the cat risk market itself. In the conclusions, we discuss several lessons drawn from this evidence for the broader behavior of capital markets and corporate risk management.
Section snippets
The optimal reinsurance profile
We begin with a brief overview of theory. In the classical world without imperfections, fairly priced reinsurance, like any other corporate risk management transaction, is a zero-NPV transaction, and therefore cannot affect corporate value. So if we are to consider the optimal reinsurance profile, it needs to be in a context in which risk management matters. The framework we use here is that of Froot et al. (1993). [See also Froot and O’Connell (1997), who develop a related model of the supply
The aggregate profile of reinsurance purchases
We next investigate actual catastrophe reinsurance purchases across the insurance industry. We ask two questions. First, is the profile of reinsurance purchases similar to that predicted by the model above? Second, how are prices related to expected losses on reinsurance contracts (in the model above, they are assumed to be equal)?
To determine the reinsurance quantities and prices for a broad group of insurance companies, we apply actual reinsurance transaction data obtained from Guy Carpenter
Reinsurance contracts: clinical evidence
In this section we focus primarily on USAA's recent reinsurance purchases, although we also investigate a related transaction by the California Earthquake Authority.
Failures of the theory: explanations and interpretations
Our explanations are of two types: those that affect supply and those that affect demand. Taking the two findings above as given – that reinsurance quantities are low and prices high – naturally suggests some form of supply restriction. However, there is unlikely to be a single explanation, and several demand-related explanations appear to be supported by some of the evidence as well. Thus, we consider factors that affect both demand and supply. Parts of this next section draw upon Froot (1999).
Conclusions
This paper has shown that the pattern of hedging against catastrophe event risk deviates from that predicted by theory, in the sense that protection against the largest events is often not purchased or is unavailable, and that prices deviate substantially from fair value. Our examination of clinical evidence yields a number of possible reasons for these departures from theory. We pursued these clues in eight different explanations for the clinical and large-sample facts’ deviations from the
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The author would like to thank Josh White for excellent research assistance. Thanks for suggestions and discussions also go to Ernie Asaff, Clement Dwyer, Peter Diamond, Marty Feldstein, Steve Goldberg, Howard Kunreuther, Chris McGhee, Roberto Mendoza, Paul O’Connell, Jeremy Stein. Responsibility for any errors and omissions and for all views lies solely with the author.