What You Don t Know Can Hurt You: Terrorism Losses and All Perils Insurance*

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1 What You Don t Know Can Hurt You: Terrorism Losses and All Perils Insurance* Howard Kunreuther Mark Pauly Wharton School University of Pennsylvania Philadelphia, PA December 2004 * Our thanks to Erwann Michel-Kerjan for his very helpful comments and suggestions on an earlier draft of this paper, and to Kenneth Arrow who commented on this paper at the American Economic Association meetings, January, Partial support for this research was provided by the NSF Grant # , the Lockheed Martin Radiant Trust Center of Excellence, the Leon Lowenstein Foundation, and the Wharton Risk Management and Decision Processes Center.

2 2 ABSTRACT: This paper deals with the role of insurance from catastrophic events due to causes that were thought by the industry to be of sufficiently low probability that they were not cause for concern. Traditionally, property-casualty insurance provided protection only from named causes, but over time has evolved into contracts that pay for damages from all causes except for specifically named exclusions. Prior to September 11 th 2001 terrorism was not one of these exclusions but after the terrorist attacks it was explicitly eliminated from commercial insurance policies. The paper argues that the all-cause contract was useful in providing protection against unusual events such as terrorist attacks, but that it creates problems for policyholders should a catastrophic event such as September 11 th occur. We provide a behavioral explanation for both the offering of all perils insurance and subsequent changes in contracts, and suggest public policy interventions that could improve the functioning of this market.

3 3 1. Introduction Following the attacks of September 11, 2001 (9/11) there has been a fundamental change in how terrorism is perceived in the United States. Losses to property and income due to terrorism now fall in the category of low probability-high consequence (LP-HC) events. As such, welfare economics suggests that there should be gains from insurance or other risk spreading measures. Reinsurers, who paid the bulk of the $40 billion insured losses from 9/11, were reluctant to continue offering protection except at very high prices. As a result, many insurers withdrew terrorism coverage from their commercial policies. Those firms demanding protection had a difficult time finding a seller. This paper outlines theories of insurance demand and supply, based on standard expected utility models and behavioral models that are intended to illuminate recent developments in actual insurance markets for terrorism. We then suggest ways of improving the current institutional arrangement for dealing with LP-HC events where there are limited data on the risk. Although we focus on the recent response of insurance markets to the large-scale terrorist attack of September 11 th 2001, the concepts are relevant to events where insurers have limited data on which to estimate the risk but have the potential of facing an extremely large loss should a catastrophic event occur. 2. The Economics of Inclusion and Exclusion We assume that owners of property (whether consumers or businesses) seek to protect themselves against large losses to the value of that property. The type of insurance demanded to satisfy these tastes would be coverage whose benefits depend only on the amount of the loss suffered. That is, we assume that the insured person s

4 4 utility depends only on the final wealth level and not on why there was a change in wealth. Other things being equal, the insurance sought would be so-called all-peril or risk of direct loss to property coverage that is common in both homeowners and commercial property-casualty insurance. (Rejda, 1992 p. 79) Such coverage is not the only form insurance can or has historically taken. Instead, early casualty insurance (dating from at least the 1800s) was named perils coverage that provided indemnification only of losses associated with certain specified or identified causes, and provided no protection against losses that could not be attributed to those causes. Property-liability coverage transitioned from named-perils to all-perils in the 1930s. One suggested explanation is that the spread of mortgage financing for home ownership meant that lenders were eager to have all-perils coverage as a condition for making a loan. Over time, insurance has thus given way to package polices that combine coverage for a wide range of causes of losses but exclude certain specific named risks (e.g. earthquake, flood or acts of war). Insurance for commercial establishments have followed closely the forms and procedures developed for homeowners coverage. When one looks at actual policies from different insurance companies one finds little variation in either homeowners or commercial coverage from standard Causes of Loss Special Form provided by the Insurers Service office (ISO). The key point is that when providing such coverage based on the ISO form, the insurer provides protection against some losses due to causes that are potentially unknown both in their likelihood and outcome. This raises an important question: How

5 5 and why is the market willing to supply such coverage? A related question is how are supply and demand affected by high consequence events such as the 9/11 attack? We begin with the demand side. There are obviously several practical reasons for buyers wanting such polices. There are fewer packages for the insured to buy and maintain, thus reducing the transactions cost for protecting oneself. There is less chance of a dispute with one or more insurers as to the relevant cause(s) of the loss. Adverse selection can be reduced. And, perhaps most important of all, especially from a behavioral perspective, the insured knows that he is covered against all risks except the named excluded perils. Individuals and firms value this certainty effect and may be willing to pay considerably more to reduce their financial exposure to as close to zero as possible. On the supply side, two aspects need to be considered: The events that are explicitly excluded by an insurance policy The types of risks that are covered by an all-risk policy because they are not explicitly excluded. The reasons for explicitly excluding some named perils are the usual ones associated with uninsurability. There may be adverse selection problems if the insurer knows more than the insured (e.g. specific health-related risks) or moral hazard problems (e.g., exclusion of damage in an insurance policy due to normal wear and tear). But the primary reason for uninsurability is associated with highly correlated losses (e.g. earthquakes, floods) that would drain insurers of capital if they occur. These risks may be excluded from a policy even though the cause is known and identified explicitly.

6 6 What about the portion of all-perils coverage that provides protection against losses from (literally) all causes not specifically excluded? A state-of-the-world characteristic (and the one we are most interested in here) is the ambiguity or imprecision associated with the probability of events capable of inflicting large losses on the insurer. Insurers usually assert that they need valid data from which they can estimate the frequency of occurrence of some event in order to calculate a premium. Actuaries will recommend charging considerably higher premiums if the risk is perceived to be ambiguous and in some cases may decide not to offer coverage at all (Kunreuther, et al. 1993, 1995). In offering an all perils policy, concern with ambiguity appears to be ignored by insurers. Coverage is provided at very modest premiums against losses whose causes are often not known or labeled in advance. Terrorism as a cause of loss highlights this point. Coverage for damages from terrorist attacks in the United States, as far as we know, was included as an unnamed peril for businesses before 9/11 at almost no cost. In other words, this means basically that losses even from large-scale attacks were implicitly covered at practically no cost to the policyholder. To understand what happened with that coverage we first need to understand why it existed in the first place. 3. Calculating Premiums for All-Perils Policies In an all-perils policy (except for excluded named events), an insurer must determine ex ante the premium for covering losses from causes that are unknown or unspecified by name. For example, suppose I purchase a typical homeowners policy to cover my vacation home. Damage from flood is an explicitly excluded peril, but if a bear should break in and destroy the home the losses would be covered, even though the

7 7 insurer may have no data on the risk of different degrees of damage from wild animals to summer homes. The insurer presumably calculates the premium in two steps. First, probabilities are assigned and expected losses calculated for those events or causes for which there are data with high credibility (in the actuarial sense). Then the insurer examines data on past losses from all causes other than those enumerated. It would use these data to estimate a probability and expected loss from all unidentified and unknown causes. What matters to the insurer is the likelihood of a large loss in its portfolio of exposures and its ability to cover that loss with actual or potential capital and reserves so it can remain in business. An insurer has to estimate two probabilities: the probability it will have to reimburse losses due to events that are known and enumerated in the policy, p K, and the probability of paying losses from an event that was unidentified in policy (but not excluded from it), p U. The aggregate probability an insurer has to consider in setting premiums for an all perils policy is thus P = p K + p U If p U is small compared to p K, and is perceived by the insurer to be associated with potential losses that are relatively small, there may be no incentive for the insurer to undertake additional risk analyses for unidentified risks offered to its clients. In fact, it would be economically impossible for a single insurer to pay for risk analyses on all types of thinkable risks (i.e., any single credible scenario with all possible losses associated with it). So the category of unidentified risks includes both events that would be recognized as credible but with relatively low perceived losses and those not

8 8 considered credible. 1 Moreover, the decision to provide all-perils coverage can be economically justified if the average claims payments by an insurer in the recent past (e.g. during the last 10 years) is considerably less than payments to its policyholders from well-identified risks. In this situation, there is no reason for an insurer to modify its estimate of annual losses associated with p U. 4. Why Insurers Are Willing to Provide All-Perils Coverage We consider two models as to why insurers are willing to supply all-perils coverage---one based on behavioral concepts and the other based on expected utility [E(U)] theory. We first confront a question that is at the heart of the problem: how do insurance buyers and sellers form expectations about the claims that will arise from unnamed causes? We assume that both insurance purchasers and insurers form a subjective estimate of the probability of losses from all causes (AC) by combining the probabilities of known events (K) and unknown events (U). For the insured we label this probability P insured AC = p insured K + p insured U and for the insurer it is labeled as P insurer AC = p insurer K + p insurer U. Obviously these expectations between the two parties need not be the same. As usual divergence in expectations can lead either to eagerness for insurance purchase (if buyers are less optimistic than insurers), or failure to purchase (in the opposite case). Let us assume, however, that, in general, expectations for the insurer and the insured are the same, P. In a behavioral model, a buyer who seeks certainty will be willing to pay much more than the (subjective) expected value of losses 1 Some anecdotal examples of non-credible events can also be identified for a specific coverage as soon as there are purchasers. For instance, attacks by the Yeti have been covered in (Godard et al., 2002).

9 9 for insurance. Ambiguity-averse insurers will seek premiums much above the expected value. In an E(U) maximization model, the willingness of insurance purchasers to pay for coverage will depend on their estimates of losses from different events and their degree of risk aversion. The premium for competitive insurers depends on their subjective estimates of the degree of independence among the losses from unnamed causes; if the losses are thought to be completely independent, the premium will be equal to insurer administrative costs and normal return on capital. The E(U) and behavioral models yield only moderately different predictions if events from unnamed causes are independent. The expected utility model predicts that such insurance will be bought and sold, and that realized profits will be at the competitive equilibrium level. The behavioral model says that positive purchasing will depend on whether the desire by buyers for certainty offsets the ambiguity-aversion of sellers. If it does, transactions will occur and expected insurance profits will be high. In principle, these are testable hypotheses but we are not aware of any empirical studies examining them. It does not appear that modern property-casualty insurance has been extraordinarily profitable even in those years in which highly correlated losses have not occurred. One reasons for this is that there may have been poor estimates of risks of known perils (e.g. fire) as well as large losses from others (e.g. earthquakes, winddamage from hurricanes). Coupled with competitive market pressure, premiums may have been too low relative to the observed losses. In both the behavioral and E(U) models, a key determinant of both prices and the likelihood that markets will exist is the (perceived) degree of independence of the all-

10 10 cause losses. When insurers believe that at least some of the unknown and unnamed causes could be highly correlated they will raise red flags in both models, because a set of simultaneous losses will drain insurers of capital and adversely affect their prospects in the capital market. However, without knowing the cause of the correlated losses, insurers cannot exclude these perils from their policies. The best they can do, as already suggested, is to form a subjective estimate of the likelihood of large losses and make a choice as to what premium to charge based on this estimate. The E(U) model predicts that a highly correlated risk would lead to an increase in the loading, but transactions may still occur if buyers are sufficiently risk averse. The behavioral model contends that ambiguity-averse insurers will not like this situation, but with a sufficiently high buyer willingness-to-pay, some insurers may reluctantly offer coverage. If no highly correlated losses occur over a long period of time, these insurers and others who refused to offer coverage may become less nervous about entering the market. Now we get to the final part of our story. Suppose that one of the previously unidentified causes of loss actually occurs, and that it is highly correlated across the insurer s policyholders. Just by its occurrence, the peril is now known and nameable. Under either the E(U) or behavioral model, insurers will raise the question as to whether this peril is insurable. Exactly how insurers respond depends on the type of model they are using and on how they update the risk with new information (e.g. they utilize a Bayesian process). The magnitude of the loss from a single event relative to previous annual claims payments by the insurer could be one criterion for modifying premiums or

11 11 excluding coverage for a specific risk in renewing an existing policy. The stage is now set for new exclusions and new special treatment. We now explore whether, based on recent history, terrorism is one of these previously unnamed correlated causes. We consider what recent experience tells us about different models of insurer behavior, and whether, regardless of the model, there are alternative policies, public and private, that can improve upon the current situation. 5. The Evolution of Terrorism Insurance in the U.S. 2 Risk Identification Prior to September 11, 2001 (9/11) terrorism coverage in the United States was included in most standard commercial policy packages without an explicit consideration of the risk associated with these events. Even though terrorism had occurred in other countries and had been excluded by private insurers as part of their coverage 3, it was not considered by insurers to be a credible threat in the United States despite the 1993 bombing of the World Trade Center (WTC) which killed 6 people and caused $725 million of insured damages (Swiss Re, 2002). So why did insurers continue to include terrorism as an unidentified peril in 2001? A principal reason is that the private insurance market had actually functioned effectively in the U.S. because up to that point in time losses from what might be labeled terrorism had been small and, to a large degree, uncorrelated. Attacks of a domestic origin were isolated and carried out by groups or individuals with disparate agendas. 2 This section and the next is based on material in Kunreuther, Michel-Kerjan and Porter (2003) 3 In South Africa and North Ireland, private insurers decided to stop covering against terrorism after terrorist wages in 1976 and 1977, respectively. France suffered several terrorist attacks during the 1980 s, and terrorism was clearly excluded from all insurance policies until 1986 when a new law required the French insurers to provide terrorism coverage up to the overall limits of a property policy. More recently, large attacks in London led insurers to refuse covering terrorism. This led to the creation of Pool Re in 1993, a reinsurance pool based on a public-private partnership.

12 12 Furthermore there was not a unique and legally recognized definition of an act of terrorism in the U.S. before 9/11. The terrorist attacks of September 11, 2001 killed approximately 3,050 people 4 and inflicted damage currently estimated at nearly $80 billion, about half of which was insured 5 ; i.e. the most costly event in the history of insurance (Swiss Re, 2002). Commercial property, workers compensation, life, health, disability, aircraft hull, and general liability lines each suffered catastrophic losses. More specifically, insured business interruption losses were estimated at $11 billion, workers compensation at $2 billion, and life insurance at $2.7 billion. The insured property losses at the WTC were estimated at $3.5 billion, aviation liability also at $3.5 billion and other liability costs reimbursed by insurers/reinsurers at $10 billion (Hartwig, 2002). In other words, there was a quasi-perfect degree of correlation among individual losses. This event confronted the insurance industry with an entirely new loss dimension. Reinsurers, who were liable for the lion s share of the claims, were for the most part unwilling to renew coverage to insurers. The few who marketed policies charged extremely high rates for very limited protection. Insurers unable to obtain reinsurance, or to raise sufficient capital either internally or from the capital markets, scrambled by offering policies that explicitly excluded terrorism coverage. The lack of available terrorist coverage delayed or prevented certain projects from going forward due to concerns by lenders or investors. For example, the U.S. General Accounting Office noted several cases of deals that could not be completed and a 4 This number represents victims of the attacks in New York, Washington, DC and Pennsylvania as well as among teams of those providing emergency service. 5 The exact amount is still evolving and can also differ from a study to another depending on what types of loss are considered.

13 13 construction project that could not be started because the firms could not find terrorism coverage at prices they could afford (U.S. General Accounting Office 2002 pp.11-14). The larger question being debated today is whether terrorism is an insurable risk and, if so, how it will be covered. Can insurers offer protection at a low enough premium that buyers are willing to purchase coverage? What are the chances of another terrorist event occurring? How frequently are such events likely to occur and how severe are they likely to be in terms of insured losses? The Terrorism Risk Insurance Act (TRIA) In the aftermath of the 9/11 attacks many insurers warned that another event of comparable magnitude could do irreparable damage to the industry. Furthermore, they contended that the uncertainties surrounding terrorism risk were so significant that it was, in fact, an uninsurable risk. By early 2002, 45 States permitted insurance companies to exclude terrorism from their policies (Brown, Kroszner and Jenn, 2002). On the one-year anniversary of the 9/11 attacks, the U.S. remained largely uncovered (Hale, 2002). The President and the U.S. Congress viewed such a situation as unsustainable. If the country suffered future attacks it would inflict severe financial consequences on affected businesses deprived of insurance. TRIA, which provides for up to $100 billion of terrorism insurance, was passed by Congress in November 2002 and signed into law by President Bush the next month. Insurers are now obligated to offer an insurance policy against terrorism to all their clients who can decide whether or not they want to purchase coverage. Insured losses from commercial lines of insurance as well as business interruption due to an attack are covered under TRIA only if the event is certified by the

14 14 U.S. Treasury Secretary as an act of terrorism, that is, as having been carried out by foreign persons or interests 6 and only for losses higher than $5 million. Under TRIA s three-year term (ending December 31, 2005) 7, there is a specific risk-sharing arrangement between the federal government and insurers 8 that operates in the following manner. First, the federal government is responsible for paying 90% of each insurer s primary property-casualty losses during a given year above an applicable insurer deductible (ID), up to a maximum of $100 billion. The insurer s deductible is determined as a percentage of the direct commercial property and casualty earned premiums of each insurer the preceding year. The percentage varies over the three-year operation of TRIA: 7% in 2003, 10% in 2004 and 15% in The federal government does not receive any premium for providing this coverage. Second, if the insurance industry suffers terrorist losses that require the government to cover part of the claim payments, then these outlays will be partially recouped ex post through a mandatory policy surcharge. That surcharge is applied to all property and casualty insurance policies whether or not the insured has purchased terrorist coverage, with a maximum of 3% of the premium charged under that policy. TRIA is designed to provide adequate reimbursements and indemnification to victims of major terrorist attacks and to assure social and economic continuity of the country should a terrorist attack occurs. Congress passed TRIA in November 2002 partly for these reasons and also because there was a huge demand for coverage by firms during the year following 9/11 with limited coverage available at an affordable price. The 6 An event like the Oklahoma City bombings would not be covered under TRIA. 7 The act expires on December 31, 2004, but may be extended through Reinsurers are not part of TRIA but can provide coverage to insurers against their losses from terrorist attacks.

15 15 expectation was that TRIA would ease insurers concerns about providing coverage and enable buyers at risk to purchase coverage at reasonable prices. Terrorist Insurance Demand Under TRIA Although insurers are now required to offer terrorism coverage to their commercial clients, they have the freedom to set the premium at whatever level they feel is appropriate. The demand for coverage at the premiums charged has been much lower than anticipated even though insurance is now available nationwide (Hsu, 2003; Treaster, 2003). According to a recent national survey by the CIAB, 72% of the brokers indicated that their commercial customers are still not purchasing terrorism insurance coverage (CIAB, July 2003). Even in locations like New York City, the level of demand remains low. The New York-based insurance brokerage firm Kaye Insurance Associates recently surveyed 100 of its clients in the New York area on a series of insurance-related issues, including terrorism insurance. Only 36% of companies surveyed have bought terrorism insurance (Muto, 2003). The following factors may be responsible for the lack of interest in insurance coverage. High Premiums Large firms that buy terrorism coverage are now typically paying 20 percent of the standard commercial property/casualty premium, while most small and medium accounts are assessed 10 percent of premium. For large firms in high risk areas such as Manhattan, the cost has been assessed up to 100 percent or more of the standard commercial insurance premium at the start of 2003 (CIAB, March 2003). While prices have fallen since then, Manhattan properties are still paying a 20 percent surcharge, according to the Kaye survey.

16 16 Credit risk Although TRIA limits the potential losses to the insurance industry, some firms are still concerned as to the impact of a large terrorist attack on the solvency of their insurers (i.e., credit risk). They consider the case where insurers may not be able to meet their obligations if a catastrophe occurs as a limitation to terrorism insurance purchase. Limits in coverage Some businesses are concerned not only with acts of terrorism certified by the federal government (i.e., terrorist acts sponsored by foreign interests) but also by the prospect of domestic terrorism such as an attack similar to the Oklahoma City bombings in 1995, which are not covered by TRIA. The market for domestic terrorism is still mixed with some insurers offering coverage (sometimes at no cost if the risk is perceived to be low) while others simply excluded it (CIAB, March 2003). Behavioral biases Another explanation for low demand could be the it will not happen to me mentality on the part of potential insurance buyers, or, more generally, serious differences in subjective probability estimations of losses from terrorism between buyers and sellers. Since most businesses have no information on the terrorism risk and no new attack has occurred on U.S. soil since 9/11, firms may perceive the chances of another event to be extremely low. This behavior has been well documented for natural hazards where individuals tend to buy insurance after a disaster occurs and cancel the policy several years later if they have not suffered a loss (Kunreuther, 2002). It is hard to convince individuals at risk that the best return on an insurance policy is no return at all. In other words, there is a tendency for most people to view insurance as an investment rather than as a form of protection.

17 17 Two years after 9/11, the concern with damage from terrorism has assumed a back seat in most people s minds. Today most firms believe that if a terrorist attack occurs it will not happen to them, whereas in the first few months after 9/11 they had the opposite belief. According to the Kaye survey, 68% of companies that do not have terrorism insurance in New York area responded that the primary reason they have not purchased such coverage is because they didn't consider themselves a terrorism target. At a national level, the CIAB study published in July 2003 indicated that more than 90% of the brokers said their customers eschew terrorism insurance because they think they don t need it (CIAB, July 2003). These firms consider insurance, even at relatively low premiums, to be a bad investment. If a business were strapped for cash, then it would be more likely to place insurance against terrorism as very low on its priority list. The expectation that government may financially aid affected businesses whether or not they are covered by insurance after a major attack, as illustrated by the airline industry following 9/11, may also contribute to limiting interest in spending money on coverage. Risk Perceptions by Buyers and Sellers There seems to be a significant difference in the perception of the seriousness of the terrorist threat by those who are potential buyers of insurance and those who are supplying coverage. Suppliers of terrorism insurance appear likely to charge high premiums in part because of the large ambiguity and uncertainty surrounding this risk and the possibility of a concentrated loss in a metropolitan area should there be an attack that could lead to insolvency.

18 18 In these circumstances, TRIA alone will not solve the problem of creating a market for insurance. Both buyers and sellers need to do a more systematic analysis of the relationship between the price of protection and the implied risk; perhaps this will lead to greater consistency in expectations. There is no guarantee that firms will be willing to pay more for coverage or that insurers will greatly reduce their premiums. But there is a much better chance that a larger market for terrorism coverage will emerge than if the status quo is maintained. The U.S. Treasury Department is required by Congress to undertake studies of the supply and demand for terrorism coverage so that more informed decisions on whether TRIA should be renewed in 2005 may be made. Those studies should contribute to a better understanding of the current level of demand for terrorism insurance as well as to suggest possible improvements in the partnership to create a more stable insurance market should another attack occur. At the same time, many insurers and reinsurers chose to take advantage of newly available tools designed to help them estimate their potential losses and thereby make rational and informed pricing decisions. 6. A Proposed Public-Private Partnership In his 1963 paper Uncertainty and the Welfare Economics of Medical Care, Kenneth Arrow (1963) suggested that: When the market fails to achieve an optimal state, society will, to some extent at least, recognize the gap, and nonmarket social institutions will arise to attempt to bridge it. (p. 947) In the case of terrorism insurance, the government has attempted to bridge the gap by passing TRIA. Our view is there are better ways of developing all-perils coverage than currently exist, so insurers will keep unnamed perils in their policies should a severe loss

19 19 occur. We use the case of terrorism to illustrate the nature of the proposed public-private partnership but the concepts apply more generally. The program has the following elements associated with it: Use of Catastrophe Bonds One of the reasons why insurers have been reluctant to provide terrorist coverage is the lack of capacity by the insurance industry to cover this event. Cummins, Doherty and Lo (2002) have undertaken a series of analyses that indicate that the U.S. propertyliability insurance industry could withstand a loss of $40 billion with minimal disruption of insurance markets. According to their model, a $100 billion loss would create major problems for the insurance industry by causing 60 insolvencies and leading to significant premium increases and supply side shortages. If there was a severe shortage of reinsurance against terrorism, insurers need to find capital from other sources. One possibility would be for an investment bank to issue a catastrophe bond to cover the losses to a firm from a potential terrorist attack if the industry losses exceed a certain magnitude (e.g. $25 billion). A catastrophe bond or cat bond requires the investor to provide money up-front that will be used by the firm if some type of triggering event occurs, such as a terrorist attack. In exchange for a higher return than normal, the investor faces the possibility of losing either a portion of or its entire principal invested in the cat bond. Bantwal and Kunreuther (2000) specified a set of factors that might account for the relatively thin market in catastrophe bonds in the context of natural hazard risks. They point out that the high spreads cannot be explained by standard financial theory and

20 20 suggest that ambiguity aversion, myopic loss aversion, and fixed costs of education might explain the reluctance of institutional investors to enter this market. Four additional factors may help explain the lack of interest in new financial instruments for covering the terrorist risk. There may be an important moral hazard problem associated with issuing such bonds if terrorist groups are connected with financial institutions having an interest in the U.S. Second, investment managers may fear the repercussions on their reputation of losing money by investing in an unusual and newly developed asset. A third reason why there has been no market for terrorist catastrophe bonds was the reluctance of reinsurers to provide protection against this risk following the World Trade Center attacks of September 11 th. Investors (e.g., mutual funds) see reinsurers as experts in this market. When investors learned that the reinsurance industry required high premiums to provide protection against terrorism they were only willing to provide funds to cover losses from terrorism if they received a sufficiently high interest rate. Finally most investors and rating agencies consider terrorism models to be too new and untested to be used in conjunction with a catastrophe bond covering risks in the United States. One of the major rating firms noted that the estimates derived from the models could vary by 200 percent or more. Without acceptance of those models by the major rating agencies, the issuance of terrorist catastrophe bonds would be unlikely, at least in the United States. (U.S. General Accounting Office, 2003) 9. 9 The first terrorism catastrophe bond was issued in Europe in August The world governing organization of association football (soccer), the FIFA that organizes the 2006 World Cup in Germany, developed a bond to protect its investment. Under very specific conditions, the catastrophe bond covers

21 21 Government Involvement If private investors feel that cat bonds are too risky to provide capital except at very high interest rates, then the government could provide some type of federal catastrophe bond. Such a federal program could be designed so that it does not discourage the private sector from entering the market. In this regard, Lewis and Murdock (1996) propose that the federal government should write and sell excess of loss (XOL) contracts to insurance companies, pools and reinsurers to cover industry losses from a disaster in the $25 to $50 billion range. The XOL contracts are designed so that the private sector can crowd out the federal government should it be able to provide protection at this high level of losses. Solutions in other countries could also be examined to see how well they are working in practice and whether some features would be appropriate for the United States. One option could be the creation of a pool arrangement, between insurers and reinsurers with some type of federal role if the losses were extremely large. This arrangement currently exists in the United Kingdom where a mutual insurance organization, Pool Re, backed by the Treasury has been providing protection against all risks including damage caused by terrorism, chemical and biological as well as nuclear contamination since January 1, Another type of partnership between the government and private insurance industry exists in France and in Germany. Both countries created special insurers for dealing with terrorism whereby private insurers cover the first portion of any loss, natural and terrorist extreme events that would result in the cancellation of the final World Cup game. (U.S. General Accounting Office, 2003).

22 22 international reinsurers cover a second layer and the government provides additional capacity if the losses exceed a prespecified amount. (Michel-Kerjan and Pedell, 2003). State-Contingent Insurance Contracts. Another possible solution that would not require the creation of special capital market instruments and would not even require government guarantees involves changing the terms of insurance contracts to make payment of claims contingent on some prespecified values for total insurance claims from terrorism. This approach is based on Borch s (1962) classic insight that optimal risk spreading requires that even insureds (and everyone else) share in the risk of large total losses. The proposal is similar to catastrophic bonds in that a benchmark level would be set for total claims in the market. If actual claims fall below this level, insurers would promise to pay benefits in full. But if actual claims exceed this level, insurers would pay pro-rated benefits according to a prespecified schedule. In effect, this arrangement provides protection to insurers from massive capital drains without the cost of bankruptcy. Other things equal, insureds would prefer full protection regardless of the state of the world, but the alternative to a state-contingent contract provided by insurers at moderate premiums is likely to be no insurance at all or very expensive insurance. If a way could be found to control moral hazard on the part of insurers, the government could cover losses in excess of the benchmark levels financed through general revenue taxation. This would be another way of achieving the maximum spreading of risk envisioned by Borch.

23 23 Conclusion The basic theme of this paper is how to design an all-perils insurance policy that is more appealing to both insurers and commercial firms than the current scene where coverage is often not written after a serious disaster has occurred. We indicated why the market for terrorism insurance collapsed after 9/11 where prior to the World Trade Center disaster it was covered as an unnamed peril in commercial insurance policies. Insurers have in the past behaved in a similar fashion with respect to floods and earthquakes---named perils During the late 1920s thirty US fire insurance companies issued flood insurance but all of them discontinued this coverage following the severe floods of 1927 and From that time on no company offered coverage, leading to the passage of the National Flood Insurance Act of 1968 whereby the Federal government offered federally subsidized flood coverage on a nationwide basis through the cooperation of the federal government and private insurance industry. (Kunreuther et al 1978). In the case of earthquakes, coverage was widely available in California since 1916 but insurers were not required to offer it to their policyholders. In 1985 the California legislature passed a law requiring insurers writing homeowners insurance to make earthquake coverage available on these structures, although the owners did not have to purchase it. Following the Northridge, CA earthquake of 1994, where insured losses exceeded $12.5 billion, insurers concluded they could no longer offer earthquake insurance and hence they stopped selling new homeowners policies. As a result the state legislature formed a state-run earthquake insurance company---the California earthquake authority (Roth, Jr. 1998).

24 24 To avoid special ex post legislation following major disasters, this paper argues for a public-private partnership where insurers are protected against extremely large losses by new financial instruments such as catastrophe bonds or some type of excess of loss reinsurance contract that the government could auction. Another possible arrangement would be an ex ante contract where insurers pro-rated their claims payments if industry losses exceed a prespecified amount. There are open issues that need to be examined in developing meaningful insurance programs for dealing with low probability high consequence events. If both suppliers and demanders of protection are concerned with ambiguity, then there are substantial benefits from some type of public-private cooperative arrangement in pooling data and assessing future risks. Terrorism raises special issues associated with releasing information from the government that may compromise national security even though it might reduce the uncertainty surrounding the risks. There are also distributional and equity issues as to who should pay for specific losses. In the case of natural disasters the argument has been made that those at risk should be responsible for covering their own losses. Even here there are questions as to whether low income persons residing in high-hazard areas who cannot afford insurance at actuarially based rates should be subsidized by their wealthier neighbors residing in safer places. In the case of terrorism the issue as to who should pay is even murkier. Should those who are more vulnerable to a terrorist attack pay higher premiums than residents and businesses located in safer areas? If terrorism is viewed as a national problem, in the sense that losses to some impose external costs on others, then one could even argue that the general taxpayer

25 25 should share in the cost of covering losses from a future attack. Regardless of the normative considerations that appeal to economists, if past political history is any guide, there will continue to be debate over who should share the losses.

26 26 REFERENCES Arrow, Kenneth (1963) Uncertainty and the Welfare Economics of Medical Care American Economic Review, 53: Bantwal, Vivek and Kunreuther, Howard (2000) A Cat Bond Premium Puzzle? Journal of Psychology and Financial Markets, 1: Borch, Karl (1962) Equilibrium in a Reinsurance Market, Econometrica, July 1962, Brown, Jeffrey, Kroszner, Randall and Jenn, Brian (2002) Federal Terrorism Insurance NBER Working Paper 9271, Cambridge, MA, October Council of Insurance Agents and Brokers (2003) Commercial Market Index Survey News Release, July 22. Cummins, J. David, Doherty, Neil and Lo, Anita (2002) Can Insurers Pay for the Big One? Measuring the Capacity of an Insurance Market to Respond to Catastrophic Losses. Journal of Banking and Finance, 26: Cummins, J. David and Doherty, Neil (2002) Federal Terrorism Reinsurance: An Analysis of Issues and Program Design Alternatives Paper Presented at the NBER Insurance Project Workshop, Cambridge Mass. Feb. 1. Godard, Olivier, Henry, Claude, Patrick Lagadec and Erwann Michel-Kerjan (2002) Treatise on New Risks. Sustainability, Crisis, Insurance (in French), p.620. Paris: Editions Gallimard. Hsu, Spencer (2003) D.C. Disputes Insurance Study Raising Rates For Terrorism Washington Post, January 7, page A01. Kunreuther, Howard (1978) Disaster Insurance Protection: Public Policy Lessons New York: John Wiley. Kunreuther, Howard, Hogarth, Robin and Meszaros, Jacqueline. (1993). Insurer Ambiguity and Market Failure. Journal of Risk and Uncertainty. 7(1): Kunreuther, Howard, Jacqueline Meszaros, Robin Hogarth, and Mark Spranca. (1995). Ambiguity and Underwriter Decision Processes. Journal of Economic Behavior and Organization. 26: Kunreuther, Howard, Michel-Kerjan, Erwann and Porter, Beverly (2003) Assessing, Managing and Financing Extreme Events: Dealing with Terrorism NBER Working Paper Cambridge, MA, December Lelain, Patrick, Bonturi, Marcos and Koen, Vincent (2002) The Economic Consequences of Terrorism OECD Working paper 334, Department of Economics, Paris: OECD.

27 27 Lewis, Christopher and Murdock Kevin (1996) The Role of Government Contracts in the Discretionary Reinsurance Markets for Natural Disasters Journal of Risk and Insurance, 63: Michel-Kerjan, Erwann and Pedell, Burkhard (2003) "Terrorism Risk Coverage after 9/11: A Comparison of New Public-private Partnerships in France, Germany and the U.S.", working paper, Philadelphia: Center for Risk Management and Decision Processes, The Wharton School, in preparation. Muto, Sheila (2003) Lighthouse Battle Starts New Chapter, Wall Street Journal, October 8. Rejda, George(1992) Principles of Risk Mangement and Insurance (4 th HarperCollins. ed.), New York, Roth, Richard, Jr. (1998) Earthquake Insurance Protection in California, Chap. 4 in Kunreuther, Howard and Roth, Richard, Sr. Paying the Price: The Status and Role of Insurance Against Natural Disasters in the United States Washington, D.C.: Joseph Henry Press Swiss Re (2002) Natural catastrophes and man-made disasters 2001: man-made losses take on a new dimension, Sigma No1, Zurich: Swiss Re. Treaster, Joseph (2003) Insurance for Terrorism Still a Rarity New York Times, March 8. U.S. General Accounting Office (GAO) (2002) "Terrorism Insurance: Rising Uninsured Exposure to Attacks Heightens Potential Economic Vulnerabilities", Testimony of Richard J. Hillman Before the Subcommittee on Oversight and Investigations, Committee on Financial Services, House of Representatives. February 27. U.S. General Accounting Office (GAO) (2003) Catastrophe Insurance Risks. Status of Efforts to Securitize Natural Catastrophe and Terrorism Risk. GAO Washington, D.C.: September 24.

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