Catastrophes and the Demand for Life Insurance Stephen G. Fier1 and James M. Carson2 Abstract: Prior research suggests that catastrophes may lead to increases in risk mitigation, risk perception, and the demand for insurance. Given the extensive damage inflicted by major natural disasters, such a phenomenon is intuitive for property risk. However, theory and prior empirical evidence also suggest a broader behavioral perspective and we therefore examine the possible link between catastrophes and subsequent demand for insurance against mortality risk. Based on U.S. state‐level data, we provide evidence of a significant positive relation between catastrophes and several measures of life insurance demand. [Key words: catastrophes, insurance demand, natural disasters.] JEL classification: C23, D80, G22, Q54. INTRODUCTION n April 2011, the United States experienced a record 875 tornadoes (National Oceanic and Atmospheric Administration, 2011), resulting in over $3 billion in property damage and hundreds of deaths.3 One month I 1 The authors acknowledge helpful comments from seminar participants at Ludwig Maxi‐ milian University of Munich, Temple University, University of Nebraska, University of Georgia, and University of Wisconsin; at meetings of SRIA and ARIA; from members of Prof. Fier’s dissertation committee, including Patricia Born, Pamela Coates, Cassandra Cole, Randy Dumm, and Kathleen McCullough; from colleagues at Florida State University, Uni‐ versity of Georgia, and University of Mississippi; and from two anonymous reviewers. Stephen G. Fier is Assistant Professor and Holder of the Liberto‐King Professorship of Insurance, Department of Finance, School of Business Administration, The University of Mississippi, [email protected] 2 Daniel P. Amos Distinguished Professor of Insurance, Department of Insurance, Legal Studies, and Real Estate, Terry College of Business, The University of Georgia, [email protected] 3 Among those 875 total tornadoes, the southeastern United States (in particular, Alabama, Arkansas, Georgia, Louisiana, Mississippi, and Tennessee) was assaulted with over 300 tor‐ nadoes occurring between April 25 and 28, with an estimated 321 deaths and insured losses ranging from $3.7 to $5.5 billion for the period from April 22 to April 28 (Hemenway, 2011a). 125 Journal of Insurance Issues, 2015, 38 (2): 125–156. Copyright © 2015 by the Western Risk and Insurance Association. All rights reserved. 126 FIER AND CARSON later, on May 22, the city of Joplin, Missouri, was struck by the largest tornado in over 60 years, resulting in 134 total deaths (UPI, 2011). Total insured losses from the Joplin tornado were expected to range from $1 billion to $3 billion, with approximately 2,000 buildings destroyed and over 5,000 buildings damaged by the tornado’s winds (Hemenway, 2011b). Given the destruction that such catastrophes can cause both to health and to property, one may anticipate that catastrophic events could impact insurance markets in various ways. For example, Born and Klimaszewski‐ Blettner (2013) provide evidence that insurers’ supply decisions are affected by natural disasters, and Thomann (2013) shows that insurer stock price volatility increases following catastrophes. Prior literature also sug‐ gests that natural disasters such as hurricanes, floods, and tornadoes may cause individuals to adjust their decision‐making processes and reassess risks that could result in property damage, leading to an increased demand for an assortment of property‐related insurance contracts (e.g., Browne and Hoyt, 2000). While the question of how individuals respond to natural disasters has been of theoretical and empirical interest for property risk, research thus far has not focused on the potential impact that such catastrophes could have on the demand for insurance against mortality risk. However, while on the surface less intuitive, patterns in insurance buying behavior that are exhibited with respect to property insurance may also occur in the life insurance market and would support the existence of a relatively broad behavioral impact. These patterns in the demand for life insurance may occur as a result of changes in an individual’s cognitive processes and/or increased marketing efforts and opportunities (e.g., while adjusting prop‐ erty claims) following a catastrophe. Empirical evidence of a link between catastrophes and the demand for life insurance is important, as it would provide further support for results in prior research that the effects of catastrophes may extend beyond the very direct and observed increase in property insurance purchases (e.g., increased demand for flood insurance following a flood, as in Browne and Hoyt, 2000) to a broader behavioral risk management response (e.g., increased household savings, as in Skidmore, 2001). In particular for this study, catastrophic events may serve as catalysts for some consumers to purchase life insurance rather than to merely consider it. To explore this question, we examine the demand for life insurance following catastrophes in the United States based on state‐level data for the period 1997 through 2009. As a preview to our findings, empirical evidence indicates signifi‐ cantly higher post‐catastrophe demand for life insurance in states affected by catastrophes (CAT states) relative to states not affected by catastrophes CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 127 (non‐CAT states). More specifically, we report a positive and significant relation between the occurrence of a catastrophic natural disaster in the prior year and the demand for individual life insurance. In the following sections, we first review the literature regarding catastrophes and the demand for insurance, and we provide theoretical and empirical support for why we might expect to see such a link for life insurance demand. We then describe the data and empirical methods. Then we present the model for the demand for life insurance as well as the results. In the final section, we summarize and conclude the paper. CATASTROPHES AND THE DEMAND FOR INSURANCE When catastrophes, particularly natural disasters, strike in the United States, property losses often are large while loss of life is relatively minimal. The potential losses associated with such catastrophes often can be reduced through a combination of loss mitigation and the purchase of insurance.4 Although individuals may choose to insure these risks through the use of various insurance contracts such as homeowners, earthquake, and/or flood insurance, often the amount purchased is not sufficient to ensure indem‐ nification in the event of an insurable loss. For example, while property losses from Hurricane Katrina totaled over $81 billion, only $44 billion of the property damage was covered by insurance (Insurance Information Institute, 2008). A number of explanations have been provided as to why individuals fail to purchase seemingly necessary insurance products or do not take action to mitigate losses when they are at risk. Kunreuther (1976) argues that the decision‐making process with respect to insurance purchasing occurs in four distinct stages, and that if an individual fails to recognize that a potential problem exists or assumes a probability of occurrence so low that the event seems improbable, the steps necessary to reduce poten‐ tial losses will not be taken.5 Other researchers concur that if the probability of loss is low (such as for some catastrophic losses), individuals may drive their self‐assessed probability of loss to zero (even though the actual probability is higher), ignore the potential loss, and not purchase insurance (see Slovic et al., 1977).6 4 Although mitigation efforts may be useful in reducing the expected loss incurred from a catastrophic event, Kleindorfer and Kunreuther (1999) note that individuals typically resist adopting these mitigation measures unless the measures are extremely cost effective. Car‐ son, McCullough, and Pooser (2013) provide an empirical examination of several hypothe‐ ses related to the decision to mitigate. 128 FIER AND CARSON Kunreuther (1984) further explores the failure to purchase insurance against disasters. He suggests that individuals may rely on past experi‐ ences to determine if a risk is serious enough to warrant the purchase of insurance, and that individuals will be more likely to purchase insurance when they know someone else who has purchased coverage or when they have had conversations with others regarding insurance purchases.7 Gan‐ derton et al. (2000) conduct a set of experiments and find that individuals are more likely to purchase insurance for low‐probability events when the cost of insurance is low, the expected loss is high, and the individual is less wealthy (i.e., they are less likely to be financially secure enough to self‐ insure or retain the loss). Kunreuther and Pauly (2004) provide a theoretical model to explain why individuals might not insure against low‐probability events.8 The foregoing discussion indicates that, as a result of various decision‐ making behaviors and cognitive biases, individuals may not take actions necessary to reduce potential losses and may not purchase insurance prior to a large‐loss event.9 However, research suggests that some individuals are moved to purchase property insurance after the occurrence of a cata‐ strophic event. Sullivan, Mustart, and Galehouse (1977) study the aware‐ 5 According to Kunreuther (1976), individuals must first perceive the risk as an event that may potentially result in a loss. Second, individuals must realize that insurance is a viable coping mechanism. Once individuals realize that insurance is available to manage the loss associated with potential risks, they can then (third) begin collecting and interpreting insur‐ ance‐related information (terms of insurance). Fourth, the individuals must determine whether or not insurance is an attractive purchase. 6 Individual treatment of low‐probability events as zero‐probability events is also an impor‐ tant component of Tversky and Kahneman’s prospect theory, which attempts to explain individual actions that are inconsistent with the axioms of expected utility theory presented by Von Neumann and Morgenstern (discussed below). 7 Kunreuther also argues that individuals may not be aware of the existence of useful insur‐ ance products, or may perceive the cost of the insurance as too high (see also Sullivan, Mus‐ tart, and Galehouse, 1977; and Palm, Hodgson, Blanchard, and Lyons, 1990). 8 Kunreuther and Pauly argue that individuals are faced with explicit or implicit costs when making insurance purchasing decisions. When individuals believe that the probability of a catastrophic event occurring is relatively low, they may behave in a manner consistent with the probability of occurrence equaling zero, similar to the threshold explanation presented by Slovic et al. (1977). In addition to the aforementioned reasons provided for the failure of individuals to mitigate against certain high loss risks, some researchers have posited that the expectation of federal assistance following a disaster may reduce one’s mitigation efforts and/or may impact the decision to purchase insurance (e.g., Kaplow, 1991). The concern is that if citizens are provided with aid following a major disaster, individuals will anticipate future governmental assistance and will thus discount the value of taking precautions prior to the occurrence of a catastrophe. 9 For a thorough examination of these potential cognitive biases, see Meyer (2005). CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 129 ness and attitudes of individuals living near the San Andreas fault in California. Among a variety of issues explored by the authors was whether those surveyed had purchased earthquake insurance. The authors indicate that in 1970, only 5 percent of respondents had purchased earthquake insurance for their residence. In 1976 the authors again surveyed the area and found that earthquake insurance purchases had increased from 5 percent to 22 percent. While the authors do not specifically provide a reason for this increase, Lindell and Perry (2000) argue that the increase may be a result of respondents experiencing the effects of the San Fernando earth‐ quake in 1971.10 Shelor, Anderson, and Cross (1992) examine the impact of the 1989 Loma Prieta earthquake on insurer stock prices. The authors find that stock prices increased following the earthquake for two samples of insurers (one sample consisting of property‐liability insurers only, and one sample con‐ sisting of property‐liability and life‐health insurers), particularly for the two days following the earthquake’s occurrence. The authors conclude that the positive market response was due to investor expectations of increased demand for property‐liability insurance in the affected areas. However, the authors do not discuss the potential relation between the increased insurer stock prices and the inclusion of life‐health insurers in the second sample. Browne and Hoyt (2000) assess the factors related to the demand for flood insurance. The authors note that the occurrence of a disaster has been shown to increase the awareness of insurance as a need. Evaluating the period from 1983 through 1993, the authors find that flood insurance purchasing behaviors are associated with the level of flood losses in a given state during the prior year. The authors provide evidence that residents of states that incurred larger flood‐related losses in the previous year had a tendency to purchase a greater number of flood insurance policies with greater levels of coverage than those individuals residing in states that had not experienced such large losses. While property damage is large by definition in the event of a catas‐ trophe, deaths and injuries resulting from catastrophic events are relatively minimal in the U.S., especially when compared to those that occur on an international scale. As noted by Bourque et al. (2006), the number of deaths attributable to natural disasters in the U.S. has declined over the previous 30 years. Despite the trend of declining deaths over time, a level of psycho‐ 10 Similarly, Palm, Hodgson, Blanchard, and Lyons (1990) performed a survey‐based study and evaluated the relationship between the occurrence of an earthquake and the insurance purchasing behavior of residents in four counties located in California. They suggest that earthquakes occurring in the early 1980s appeared to be associated with earthquake insur‐ ance purchases in three of the four counties surveyed. 130 FIER AND CARSON logical distress is associated with the occurrence of a natural disaster. Such distress may result in cognitive adjustments that lead to changes in the demand for products that aim to secure the property, health, and financial assets of individuals. Ganderton et al. (2000, p. 272) state, “The losses in natural disasters can often be so severe and large that they dominate people’s assessment of the risk they face.” For example, Skidmore (2001) presents evidence of greater household savings rates following disasters. Following a catastrophic event, both “availability” and “retrievability” (see Tversky and Kahneman, 1974) may grow in importance, leading some individuals to take “ameliorative measures” (see Sunstein and Zeckhauser, 2011) to manage risk and avoid regret (e.g., Samuelson and Zeckhauser, 1988). Prospect theory (Kahneman and Tversky, 1979; and Tversky and Kah‐ neman, 1992) provides further insight for the observed behavior of indi‐ viduals regarding various financial decisions, especially those involving insurance purchasing decisions. Prospect theory posits an S‐shaped value function that is generally concave for gains and is commonly convex for losses, suggesting risk aversion with respect to gains and risk‐seeking behavior with respect to losses. Because individuals generally are not able to comprehend and properly evaluate extreme probabilities, individuals tend to overweight low probability events and underweight high proba‐ bility events (McDermott, 1998). Accordingly, individuals exhibit a ten‐ dency to overweight the probability of large losses occurring in the future and purchase insurance (and thus accept a certain small current loss) in order to avoid the uncertain (low probability) large financial loss. Weinstein (1989) suggests that feelings of worry increase following the personal experience of a traumatic event, which may then lead individuals to attempt to protect themselves in various ways from future harm. While such protection efforts have come in the form of property insurance pur‐ chases and increased mitigation efforts, it is possible that protection‐based decisions also may come in the form of an increase in life insurance demand. Those individuals without life insurance (or who do not carry a “sufficient” amount) may be more likely to reassess their needs and pur‐ chase coverage after witnessing the destruction caused by a catastrophic event. Furthermore, individuals may feel more inclined to proactively protect themselves against mortality risk as a result of greater risk aware‐ ness.11 Toward this end, following a catastrophe that has caused significant property damage, insurers and their agents may strive to increase life insurance demand not only by virtue of increased marketing efforts in general, but also as part of the increased contact with individuals during the property claims process. Thus, individuals may be more likely to recognize and respond to the need for life insurance at the same time they CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 131 purchase property insurance and/or engage in the property insurance claim process. Some anecdotal evidence regarding the impact that catastrophes may have on the demand for life insurance comes from the 1918–1919 influenza pandemic that resulted in the death of hundreds of thousands in the U.S. (and millions more around the world). Weisbart (2006, p. 11) notes, “In 1919, stories on the experience of major life insurers routinely reported record sales in 1918, driven in part by people who came to have a fresh appreciation of the value of owning life insurance.” While natural catas‐ trophes that affect the United States fortunately do not result in the number of deaths attributed to the 1918–1919 influenza pandemic, catastrophes may engender cognitive or market changes similar to those that led to the increased demand for life insurance in the early twentieth century. Thus, considering the theoretical literature and existing evidence of changes in financial behavior following disasters, it would not be surprising to find evidence that individuals exhibit changes in insurance purchasing behav‐ ior in areas beyond property insurance. Zietz (2003) provides a survey of the various factors that have been identified by prior research as determinants of life insurance demand. In general, many of these factors are associated with significant life changes, such as the birth of a child, a new job, or simply a change in age.12 In the same vein, catastrophes may be events with enough significance so as to be related to an increased demand for life insurance. Given the findings of prior research, which suggests that catastrophic events and major life events are commonly associated with an increase in 11 That is, the link between a catastrophe and an increase in life insurance demand is not that individuals necessarily decide to purchase life insurance because they believe they will die as a direct result of a future catastrophe. Rather, it is likely the case that the catastrophe is an event that motivates some individuals to more seriously consider the possibility that they could die an untimely death, which then results in an increase in life insurance demand. 12 Among the factors identified by prior literature as having some influence on the demand for life insurance are age, education, employment, income, population, life expectancy, mar‐ ital status, number of children, and a variety of psychographic traits (Zietz, 2003). The important (albeit mixed) relation between many of these variables and life insurance demand suggests some support for the notion that life insurance consumption is tied to an individual’s life cycle, where the demand for life insurance is related to significant events that occur over the span of an insured’s life (e.g., Liebenberg, Carson, and Dumm, 2012). While we are able to control for some of these factors in our models, we are unable to control for all of these factors. As discussed below, we are able to control for age, income, popula‐ tion, and dependency (among other controls). However, we do not control for education as it is highly correlated with income (over 65 percent correlation between college education and income). We also do not control for state‐specific life expectancy or marital status as we are unable to locate this information at the state‐level for the entire sample period. 132 FIER AND CARSON insurance purchasing activities, our primary hypothesis of interest, H1a, is given as: H1a: Demand for life insurance following a catastrophic event is signifi‐ cantly higher in CAT states than in non‐CAT states. We also examine a related hypothesis, H1b, which is: H1b: Demand for life insurance following a catastrophic event is signifi‐ cantly higher in states that are in close proximity to CAT states than in states not in close proximity to CAT states. We contend that consumers may be more likely to purchase insurance coverage following a naturally occurring catastrophe (H1a). However, it is also likely that the occurrence of such an event could impact the demand for life insurance coverage in areas that neighbor affected states. If those in neighboring states are more likely to receive regular media coverage of the effects of a large natural disaster or are more likely to know others in the affected states, then it is possible that the occurrence of a catastrophic event in a neighboring state could cause non‐affected consumers to re‐evaluate their needs and purchase insurance coverage. SAMPLE AND DATA To examine the possible link between catastrophes and the demand for U.S. life insurance, we focus on major catastrophes. For the purpose of our analysis, we define a catastrophe as any event affecting the United States and resulting in large insured property losses (i.e., greater than $1 billion) as identified by Swiss Reinsurance (SwissRe) Company.13 Table 1 lists the 21 catastrophes identified via Swiss Re that are used in the creation of our binary catastrophe variable. For several reasons, the set of catastro‐ 13 Catastrophes are identified via Swiss Re Sigma Reports (similar to Born and Viscusi, 2006). Each year Swiss Re publishes a Sigma Report that explores the impact of catastrophes, both in the U.S. and internationally. Included in each publication is a list of the 40 most costly catastrophes since 1970, based on total insured property damage. Using available Swiss Re reports, catastrophes are selected for inclusion in this study if at any point during the sam‐ ple period a catastrophe from the period was included on this list. It should be noted that this list changes each year as catastrophes are added and removed. We include a catastrophe once it is included on the list and keep it in the sample even if it is subsequently removed in another year. Since we are interested in determining whether or not a relationship between catastrophes and life insurance demand exists, we primarily focus on the largest catastro‐ phes for purposes of this particular study. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 133 Table 1. Large Catastrophes Included in the Sample Date Peril Insured loss States affected 09/05/1996 Hurricane Fran $1.7B MD, NC, OH, PA, SC, VA, WV 01/05/1998 Cold spell with ice and snow $1.3B ME, NH, NY, VT 05/15/1998 Wind, hail, and tornadoes $1.4B IA, MN 09/20/1998 Hurricane georges $3.6B AL, FL, LA, MS 05/03/1999 Series of tornadoes in Midwest $1.5B AL, AR, FL, GA, IL, IN, KS, KY, LA, MO, MS, NC, NE, OH, OK, SC, TN, TX 09/10/1999 Hurricane Floyd $2.4B CT, DE, FL, GA, MA, MD, ME, NC, NH, NJ, NY, PA, RI, SC, VA, VT 04/06/2001 Hail, floods, tornadoes $1.9B AR, KS, MO, MS, OK, TX 06/05/2001 Tropical storm Allison $3.2B FL, GA, LA, MS, NC, NJ, PA, SC, TX 04/27/2002 Spring storm with tornadoes $1.7B GA, IL, IN, KS, KY, MD, MO, NY, OH, PA, TN, VA, WV 04/04/2003 Thunderstorms and hail $1.6B AL, IL, IN, LA, MI, MO, MS, NY, TN, TX 05/02/2003 Thunderstorms, tornadoes, hail $3.2B AL, AR, CO, GA, IA, IL, IN, KS, KY, MO, MS, NC, NE, OK, SC, SD, TN 09/18/2003 Hurricane Isabel $1.7B DE, MD, NC, NJ, NY, PA, VA, WV 08/11/2004 Hurricane Charley $8B 08/26/2004 Hurricane Frances $5B FL, GA, NC, NY, SC 09/02/2004 Hurricane Ivan $11B AL, DE, FL, GA, LA, MD, MS, NC, NJ, NY, OH, PA, TN, VA, WV 09/13/2004 Hurricane Jeanne $4B DE, FL, GA, MD, NC, NJ, NY, PA, SC, VA 08/24/2005 Hurricane Katrina $45B AL, FL, LA, MS, TN 09/20/2005 Hurricane Rita $10B AL, AR, FL, LA, MS, TN, TX 10/19/2005 Hurricane Wilma $10B FL 08/26/2008 Hurricane Gustav $4B AL, AR, LA, MS 09/02/2008 Hurricane Ike $20B AR, IL, IN, KY, LA, MO, OH, PA, TX FL, NC, SC Source: Annual Swiss Re Catastrophe Sigma’s from 1995 through 2009. Insured loss values are presented as initially reported (not inflation-adjusted) by Swiss Re in the year of the event. Large catastrophes are identified via annual Swiss Re Catastrophe Sigma’s. An event is classified as a large catastrophe for the purpose of this study only if it appears on the list of the 40 most costly catastrophes since 1970 in a given year’s Swiss Re Sigma. 134 FIER AND CARSON phes included in the sample is based on the size of property damage, as opposed to the number of deaths or injuries associated with catastrophic events.14 While the identification of catastrophes is based on the dollar amount of property damage rather than deaths or injuries, we control for death and injuries attributed to catastrophes in our models.15 We examine U.S. data for all states (and the District of Columbia) and all (aggregated) insurers for the period from 1997 through 2009 for a total of 663 state‐year observations. For purposes of this study, we utilize data from the individual life insurance marketplace and do not include group life insurance policies.16 Life insurer–specific data are obtained from the National Association of Insurance Commissioners (NAIC), while addi‐ tional state‐specific economic and demographic data are from the U.S. Census and U.S. Census Statistical Abstracts. Deaths and injuries attrib‐ uted to major catastrophes are from the National Oceanic and Atmospheric Administration (NOAA). An overview of the dependent and independent variables incorporated in our analysis is provided below. VARIABLES AND EMPIRICAL MODEL Dependent Variables To test our hypotheses, we construct five different dependent vari‐ ables, all of which are similar or identical to variables used in prior life insurance demand literature. The dependent variables for our empirical models are defined as: • ForceAmt is the dollar amount of life insurance in force for a given state in a given year in thousands, scaled by the state’s population in thousands. • ForceNum is the number of life insurance policies in force for a given state in a given year, scaled by state population in thousands. 14 First, very few catastrophes occur within the U.S. that cause a significant number of deaths. Second, a large catastrophe that results in many deaths and injuries presumably should be associated with a large amount of property damage. Finally, because a change in demand may be due to a change in the perception of risk, property damage resulting from a catastrophe may be sufficient to induce an increase in the demand for life insurance. 15 We also estimated models using an alternative catastrophe measure equal to the dollar amount of property damage, as reported through the Spatial Hazard Events and Losses Database for the United States (SHELDUS) (Hazards and Vulnerability Research Institute, 2012). However, results on the alternative measure were statistically insignificant and thus are not presented in this study to conserve space. 16 However, we do control for the group life insurance market in our models. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 135 • IssuedAmt is the dollar amount of life insurance issued for a given state in a given year in thousands, scaled by state population in thousands.17 • IssuedNum is the number of life insurance policies issued for a given state in a given year, scaled by the state’s population in thousands.18 • Premiums is the dollar amount of direct life insurance premiums written for a given state in a given year, in thousands, scaled by population in thousands.19 We create each dependent variable by aggregating data obtained from the NAIC annual statement across each state.20 For each of the dependent variables above, our focus is on the ordinary (individual) life insurance market rather than the group life insurance market. We focus exclusively on the individual market largely because the individual market should not constrain the potential demand that follows a catastrophic event, while the group market could. Specifically, many groups and businesses have eligi‐ bility periods which limit a group member’s ability to purchase coverage. Given the existence of these periods, it is likely that consumers looking to purchase coverage in the group market would be limited in their ability to do so. Hence, our empirical analysis focuses on the individual market.21 17 Pauly et al. (2003) use the log of the face amount of new term life insurance purchased, similar to our IssuedAmt variable. Similarly, Babbel (1985) utilizes the dollar amount of new life insurance in force as a dependent variable. 18 IssuedNum and ForceAmt are similar to variables used in Browne and Hoyt (2000) in their examination of the demand for flood insurance. In addition to Browne and Hoyt (2000), other research has used these two variables as dependent variables for purposes of examin‐ ing life insurance demand. In particular, variables similar to our IssuedNum were used by Chen, Wong, and Lee (2001). Browne and Kim (1993) and Beck and Webb (1997) use a vari‐ able similar to our ForceAmt variable. Beck and Webb (1997) use the ratio of the face of amount of life insurance in force (plus dividend additions) scaled by GDP. Truett and Truett (1990) use the quantity of life insurance demanded, proxied by the average dollar amount of individual life insurance per U.S. family. 19 A similar variable is also used by Browne and Kim (1993). 20 The values used to create the dependent variables are obtained from the States Pages found in the NAIC annual statements. Specifically, the data came from the following locations in the NAIC annual statements: (1) The ForceAmt variable is constructed using the dollar amount of coverage in force as of December 31 of the current year (Line 23, Column 2 of the NAIC States Pages using the 2009 annual statement, for example); (2) the ForceNum variable is constructed using the number of policies in force as of December 31 of the current year (Line 23, Column 1); (3) the IssuedAmt variable is constructed using the dollar amount of ordinary coverage issued during the year (Line 21, Column 2); (4) the IssuedNum variable is constructed using the number of ordinary policies issued during the year (Line 21, Column 1); and (5) the Premiums variable is constructed using ordinary life insurance premiums (Line 1, Column 1). 136 FIER AND CARSON Table 2. Variable Definition and Summary Statistics for Dependent Variables Variable Definition Mean Std. dev. ForceAmt Dollar amount of life insurance in force for a given state in a given year in thousands, scaled by the state’s population in thousands 40147.24 12092.32 ForceNum Number of life insurance policies in force for a given state in a given year, scaled by the state’s population in thousands 476.87 115.58 IssuedAmt Dollar amount of life insurance issued for a given state in a given year in thousands, scaled by the state’s population in thousands 5179.87 1364.67 IssuedNum Number of life insurance policies issued for a given state in a given year, scaled by the state’s population in thousands 36.52 13.30 Premiums Life insurance premiums written for a given state in a given year in thousands, scaled by the state’s population in thousands 311.95 101.10 All dependent variables are winsorized at the 1st and 99th percentiles. Consistent with prior literature (e.g., Babbel, 1985; Browne and Kim, 1993; Browne and Hoyt, 2000; and Pauly et al., 2003), we estimate the models using levels of the various dependent variables, described above.22 We posit a positive relation between each of our dependent variables and the occur‐ rence of a catastrophe in a prior year. Variable descriptions and summary statistics for our dependent variables are presented in Table 2.23 21 While the focus of this paper is on the individual market, we did estimate each model using group data. Using the group data, we only find a significant relation between our catastrophe variable and two of the demand variables (the number of policies in force and the number of polices issued). Additionally, for those models showing a significant relation between the CAT variable and demand, the coefficients on the CAT variable are appreciably smaller than the corresponding coefficients from the models using the ordinary life insur‐ ance data that are present in this study. 22 We also estimated the models based on an alternative form of each of the dependent vari‐ ables (the percentage change of each of the level dependent variables). However, results are much stronger and more robust based on the levels of dependent variables. Thus, consistent with prior literature, the results presented are based on levels of the dependent variables. 23 All dependent variables are winsorized at the 1st and 99th percentiles to reduce potential bias caused by extreme outliers. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 137 Independent Variables Several independent variables are incorporated in our model in order to examine the state‐specific demand for life insurance using both previ‐ ously utilized economic/demographic variables as well as our proposed catastrophe variables.24 Key Explanatory Variables Catastrophe Variables. The primary variables of interest are the CAT and Contiguous variables. The CAT variable is a binary variable indicating the occurrence of a major catastrophe (equal to one if yes, zero otherwise) in a given state in the prior year, as identified by Swiss Re. The CAT binary variable allows us to determine whether a significant difference in the demand for life insurance exists in the year following a catastrophe between states that did or did not experience a catastrophic event.25 Coef‐ ficients on the CAT variable should be significant and positive if the results support Hypothesis 1a.26 The Contiguous variable is included in order to determine if those states that are geographically close to a catastrophic event, but not directly impacted by the event, experience an increase in life insurance demand, related to Hypothesis 1b.27 As previously stated, individuals may rely on past experiences to determine if a risk is serious enough to warrant the purchase of insurance. The Contiguous variable represents those states that do not experience a Swiss Re catastrophe but neighbor a state that experi‐ ences a Swiss Re catastrophe. Assuming that an indirect experience may be sufficient enough to promote a change in the assessment of risk 24 The variance inflation factors (VIFs) were checked for each of the independent variables employed in the models. None of the independent variables had a VIF greater than 5. Ken‐ nedy (1998) notes that a VIF greater than 10 may be cause for concern. 25 In addition to the CAT and Contiguous variables, we also considered the inclusion of an interaction term, consisting of states that experience a catastrophe in succeeding years, in order to determine if states that experience catastrophes in consecutive years display a dif‐ ferent demand for life insurance when compared to states that do not experience catastro‐ phes in consecutive years. The results suggest that states that experience catastrophes in back‐to‐back years do not have a statistically different demand for life insurance when com‐ pared to other states. In order to maintain focus on the hypotheses of interest, we do not include the interaction variable in the analysis presented here. 26 It should be noted that two phenomena potentially militate against finding a significant catastrophe effect. First, several states reappear in Table 1 over time, rendering an ever‐ shrinking pool of people on which the catastrophes have an effect. Second, it is possible that the states appearing multiple times may be more likely to experience a numbing effect in relation to their potential response to catastrophe risk and the need for life insurance (see Meyer, 2005). 138 FIER AND CARSON (Hypothesis 1b), we anticipate the coefficient for the Contiguous variable will be significant and positive. Demographic and Economic Control Variables Although not the primary focus of the study, in addition to the catas‐ trophe‐related variables we also include state‐specific demographic and economic factors that may be associated with life insurance demand. As noted previously, control variables included in the regression models are identified via prior life insurance demand literature. While we do not posit expected signs for the following variables, the control variables included in the models are discussed below. Income. Prior literature generally suggests that a positive relation exists between the demand for life insurance and household income (Zietz, 2003). Income may have a positive relation with life insurance demand given the desire to protect the potentially higher level of income in the event of premature death. Such a relation has been documented in numerous studies, including in Truett and Truett (1990), Browne and Kim (1993), and Showers and Shotick (1994). To control for the potential relation between income and life insurance demand, we include the median level of house‐ hold income for a given state in a given year (Income).28 Homeownership. In addition to the average level of household income, we also control for the level of homeownership exhibited in the state for each year in our sample (Homeown).29 Using data from the U.S. Statistical Abstracts, the Homeown variable represents the proportion of a state’s population in a given year that owns a home. Population Density. Kunreuther (1984) argues that individuals will be more likely to purchase property insurance when they know other indi‐ 27 The Contiguous variable does not result in double‐counting if the state has already been affected by a catastrophe. For example, if a hurricane strikes Florida but does not impact Georgia, Georgia is considered a contiguous state. However, if a hurricane strikes Florida and misses Georgia, but Georgia then experiences state‐wide flooding in the same year, Georgia will not be considered a contiguous state. This coding approach is followed in order to preserve the underlying purpose of the variable, which is to determine if non‐CAT states experience an increase in the demand for life insurance when in close proximity to CAT states. 28 We also considered the inclusion of household education and squared‐income as an inde‐ pendent variable. However, collinearity concerns prompted the exclusion of these variables from the models. When we do include these variables in our models the variance inflation factor (VIF) exceeds 10, which Kennedy (1998) states is indicative of a multicolliniarity prob‐ lem. However, the inclusion or exclusion of these variables does not influence the coefficient on the binary CAT variable and the results on the other control variables generally remain similar to those presented in this paper. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 139 viduals who have purchased insurance or when they have had conversa‐ tions regarding the purchase of property insurance coverage.30 We control for this potential by including state‐specific population density (Density) in our models. The population density variable is constructed as the population per square mile of land area, as reported in the U.S. Statistical Abstracts. Child Dependency Ratio. To control for the impact that dependency may have on the demand for life insurance, we include the child dependency ratio (CDepend). This variable is constructed as the size of a state’s popula‐ tion under the age of 18 scaled by the state’s population between the ages of 18 and 64.31 In addition to the child dependency ratio, we also include a variable that accounts for the proportion of a state’s population over the age of 64 (Aged). Age may impact the demand for life insurance due to life‐cycle factors or as a result of increased levels of dependency during certain portions of one’s life.32 Market Competition. The extent of competition within a market can directly affect the price of insurance as well as the quantity of coverage available. If a greater degree of concentration exists within a market, the potential exists for higher prices and, consequently, potentially lower demand for the life insurance product. Conversely, a lesser degree of concentration in a market has the potential to drive prices down and 29 Gandolfi and Miners (1996) discuss the potential relation between homeownership and life insurance demand. Homeownership may lead to an increased demand for life insurance if individuals hope to cover the cost of the mortgage in the event of death and if the home is not considered a liquid asset. Conversely, homeownership could result in a reduced demand for life insurance if individuals view the home as a liquid asset that could be used as a substitute for life insurance. 30 A greater population density suggests there are larger numbers of individuals living by one another. Individuals living in states with greater densities will thus have the ability/ opportunity to associate with a greater number of individuals who may have purchased life insurance coverage, which could encourage them to purchase similar coverage. Addition‐ ally, the potential exists for individuals living in states with higher population densities to know individuals impacted by catastrophes, which may induce the purchase of life insur‐ ance. 31 The child dependency ratio provides an estimate of the number of dependents that exist within a given state population. Prior literature suggests that individuals may purchase life insurance either to protect dependents from financial hardship in the event of premature death or to simply provide the dependents with an inheritance or bequest (Campbell, 1980; and Lewis, 1989). Browne and Kim (1993), in their international examination of determi‐ nants of life insurance demand, report a positive and significant relation between the demand for life insurance and the dependency ratio. Li, Moshirian, Nguyen, and Wee (2007) also present evidence of a positive relation between the demand for life insurance and the dependency ratio in their analysis of life insurance demand within OECD countries. 140 FIER AND CARSON increase insurance purchasing activity. We account for the level of concen‐ tration within a market by including a state‐specific Herfindahl‐ Hirschman Index (HHI). The HHI variable is calculated as the sum of squared market shares within a given state, based on premiums written within the state: n HHI s ,t = i=1 Written i ,s ,t 2 Premiums ---------------------------------------------------------- Premiums Written s ,t (1) where i denotes each insurer writing business in a given state, s, in year t. Regulatory Stringency. In addition to the other control variables men‐ tioned above, we also control for the potential effect that regulatory strin‐ gency could have on the demand for life insurance. State regulatory stringency could impact the demand for insurance if the regulatory envi‐ ronment affects the price of coverage or the type of coverage that is made available to consumers. We follow prior literature and control for regula‐ tory stringency using a binary variable (Stringent) to account for prior approval states (e.g., Barth and Feldhaus, 1999; Viscusi and Born, 2005; Born and Klimaszewski‐Blettner, 2013).33 Gulf States. While we control for a variety of state‐specific factors, it is possible that the location of a given state could also influence the demand for life insurance. In particular, the events in our sample (see Table 1) largely take place along the U.S. Gulf Coast, suggesting that these states are more susceptible to naturally occurring catastrophic events. If this is the case, then the potential exists that individuals living in states along the U.S. Gulf Coast are more likely to demand insurance if they believe they are more susceptible to catastrophic losses.34 We include a binary variable to control for Gulf Coast states (Gulf), where we define Gulf Coast states as Alabama, Florida, Louisiana, Mississippi, and Texas.35 Policy Surrenders. Prior literature suggests that life insurance lapse activity is related to the demand for life insurance. If individuals lapse life 32 Lin and Grace (2007) find that the relation between age and life insurance demand changes over time and varies based on the level of household financial vulnerability. In particular, the authors find a positive relation between life insurance demand and financial vulnerabil‐ ity and that older individuals have a tendency to use less life insurance to protect against a given level of financial vulnerability than do younger individuals. 33 We follow Barrese, Lai, and Scordis (2009) and classify the following 19 states as prior approval states: Alaska, Arizona, Colorado, Delaware, Florida, Georgia, Kentucky, Louisi‐ ana, Missouri, Montana, Nevada, New Hampshire, New Jersey, New Mexico, North Caro‐ lina, Oregon, South Dakota, Vermont, and Wisconsin. 34 We thank two anonymous reviewers for this suggestion. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 141 insurance policies with the intent of replacing the policy with a new policy, we anticipate a positive relation between surrender activity and life insur‐ ance demand (Outreville, 1990; Fier and Liebenberg, 2013). However, if consumers are not replacing those policies, then one would anticipate a negative relation between demand and surrender activity. To control for the potential relation between the demand for life insurance and life insurance policy surrenders, we include the ratio of total state‐specific policy surrender benefits in a given year scaled by the total dollar amount of life insurance in force in a given year. Group Life Insurance. The demand for individual life insurance policies may also be a function of the demand for group life insurance. To account for the potential relation between current year individual life insurance policy demand and prior year group life insurance policy demand, we obtain group life insurance data from the NAIC InfoPro database. For each model, group life insurance demand is accounted for in a similar manner to the corresponding dependent variable.36 Catastrophe‐Related Control Variables Catastrophe‐Related Deaths and Injuries. In addition to economic and demographic control variables, we also include additional catastrophe‐ specific control variables for which we have no a priori expectations. First, we include both the natural logarithm of the number of deaths and the natural logarithm of the number of injuries attributed to catastrophes in each state (Death and Injury).37 These variables are included in each of the regression models to account for the potential differential effects of catas‐ trophe‐related death and injury on the decision to insure mortality risk. Prior empirical research that examines the demand for property insurance following a catastrophe generally accounts for the size of insurable losses. While such a proxy does provide some indication of the overall destruc‐ 35 We also re‐estimated each of our models using a “coastal” variable in place of the Gulf Coast variable. The “coastal” variable is a binary variable equal to 1 for all coastal states, where coastal states include the following: Alabama, Alaska, California, Connecticut, Dela‐ ware, Florida, Georgia, Hawaii, Louisiana, Maine, Maryland, Massachusetts, Mississippi, New Hampshire, New Jersey, New York, North Carolina, Oregon, Rhode Island, South Car‐ olina, Texas, Virginia, and Washington. The results obtained when replacing the Gulf Coast variable with the coastal variable are both qualitatively and quantitatively similar to those presented in this study. 36 For example, in a model that uses the dollar amount of individual life insurance in force (ForceAmt) as the dependent variable, we also include the lagged dollar amount of group life insurance in force as a control variable (GForceAmt). All group variables are winsorized at the 1st and 99th percentiles to reduce potential biases induced by extreme outliers. 37 The total numbers of deaths and injuries come from the NOAA. 142 FIER AND CARSON tiveness of the event, the number of deaths and injuries associated with a catastrophic event may also be related to the population’s general insur‐ ance‐purchasing response.38 Descriptive statistics for all independent variables are reported in Table 3. Empirical Model An important consideration in estimating the model is the potential impact of state effects and time effects.39 To address the potential bias, we employ a fixed‐effects approach, as described in Petersen (2009).40 The general form of the model is represented in Equation (2) as: Demand i ,t = + 1 CAT i ,t – 1 + 2 Contiguous i ,t – 1 + 3 Death i ,t – 1 + 4 Injury i ,t – 1 + 5 Income i ,t – 1 + 6 Homeown i ,t – 1 + 7 Density i ,t – 1 + 8 CDepend i ,t – 1 + 9 Aged i ,t – 1 + 10 HHI i ,t – 1 + 11 Stringent i + 12 Gulf i ,t – 1 + 13 Surrender i ,t – 1 + 14 GroupDemand i ,t – 1 + i ,t (2) DEMANDi,t represents the various dependent variables (ForceAmt, Force‐ Num, IssuedAmt, IssuedNum, and Premiums) for each state i in year t. Each of the dependent variables is scaled by state population in thousands. The numerators of the ForceAmt, IssuedAmt, and Premiums variables are in thousands. We next present the results of the regression analyses. 38 The relatively small number of deaths and injuries that occur in the U.S. resulting from natural disasters suggests that the relation between these two variables (Death and Injury) and the demand for life insurance may be insignificant. 39 In particular, if the residuals of the estimates between the states are correlated in a given year or if the residuals of the estimates for a given state are correlated over time, the stan‐ dard errors will be biased downward, thus favoring a finding of statistical significance. 40 The model employed consists of yearly fixed effects with standard errors clustered by state (see Petersen, 2009). We also considered a two‐way fixed effects model using year and state fixed effects. However, a two‐way fixed effects regression would not be appropriate, given our dataset, as it would eliminate too much of the cross‐sectional variation. As per Petersen (2009), we also estimate the model presented in Equation (2) using standard errors that are clustered by both state and year. The results on the primary variables of interest that are obtained from the two‐way cluster models are generally consistent with those presented in this paper and thus are not reported. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 143 Table 3. Variable Definition and Summary Statistics for Independent Variables Variable CAT Definition Binary variable denoting a state that experienced a Swiss Re catastrophe in the prior year Binary variable denoting a state that borders a state directly impacted by a catastrophe in the prior year The natural logarithm of one plus the number of deaths attributed to natural catastrophes for a given state in the prior year Mean Std. dev. 0.1915 0.3938 0.1617 0.3685 0.1263 0.4881 0.2811 0.9354 Income Median household income for a given state in the prior year 43124.93 8034.00 Homeown Percent of homeowners in the population for a given state in the prior year Population per square mile of land area for a given state in the prior year Child dependency ratio, calculated as the proportion of a state’s population under the age of 18 in the prior year scaled by the proportion of a state’s population between the ages of 18 and 64 in the prior year Percent of the population over the age of 64 for a given state in the prior year State-specific Herfindahl-Hirschman Index, calculated using premiums written Regulatory stringency binary variable equal to 1 for prior approval states Binary variable equal to 1 for Gulf Coast states, including Alabama, Florida, Mississippi, Louisiana, and Texas Ratio of policy surrender benefits to the total dollar amount of life insurance in force in the prior year Dollar amount of group life insurance in force for a given state in the prior year in thousands, scaled by the state’s population in thousands Contiguous Death Injury Density CDepend Aged HHI Stringent Gulf Surrender GForceAmt GForceNum GIssuedAmt GIssuedNum GPremiums The natural logarithm of one plus the number of deaths attributed to natural catastrophes for a given state in the prior year 69.11 6.31 358.11 1261.60 40.32 3.93 12.67 1.80 0.0344 0.0396 0.3725 0.4838 0.0980 0.2976 0.0085 0.0024 25775.16 16464.77 29.54 51.57 3581.33 2303.03 Number of group life insurance policies issued for a given state in the prior year, scaled by the state’s population in thousands 4.41 25.60 Group life insurance premiums written for a given state in the prior year in thousands, scaled by the state’s population in thousands 89.33 74.85 Number of group life insurance policies in force for a given state in the prior year, scaled by the state’s population in thousands Dollar amount of group life insurance issued for a given state in the prior year in thousands, scaled by the state’s population in thousands All group life independent variables (i.e., GForceAmt, GForceNum, GIssuedAmt, GIssuedNum, and GPremiums) are winsorized at the 1st and 99th percentiles. 144 FIER AND CARSON EMPIRICAL RESULTS AND DISCUSSION Univariate Comparisons We first examine the relation between life insurance demand and the occurrence of catastrophes in a univariate setting. We compare life insur‐ ance demand across CAT states and non‐CAT states in Table 4 and provide some initial evidence that CAT states tend to have greater demand for life insurance in the year following a catastrophe than do non‐CAT states. In particular, states experiencing a catastrophe in the prior year have a signif‐ icantly greater number of life insurance policies issued (IssuedNum) and a significantly greater number of life insurance policies in force (ForceNum) than those states that did not experience a catastrophe in the prior year. This finding holds for seven of the nine years in our sample characterized by the occurrence of a catastrophe. In addition to the univariate tests in Table 4, we also illustrate life insurance demand for states that did and did not experience a major catastrophic event (identified via Swiss Re) in the prior year in Figure 1. The figure illustrates that the variable used to proxy life insurance demand is important in evaluating and interpreting the potential impact that a catastrophe can have on the demand for life insurance. In particular, the figure suggests a higher demand for life insurance in states impacted by catastrophes when using the number of policies in force (ForceNum) or the number of policies issued (IssuedNum) as a proxy for life insurance demand. For other measures, the figure does not suggest (in general) a significant difference in life insurance demand between CAT states and non‐CAT states when using the dollar amount of life insurance in force (ForceAmt), the dollar amount of life insurance issued (IssuedAmt), or life insurance premiums (Premiums) as the proxy for demand. Both Table 4 and Figure 1 provide initial support for the notion that states affected by a large catastrophic event may experience higher demand for life insurance rela‐ tive to non‐affected states in the year following the catastrophe.41 41 The same figure for life insurance demand in the year of the event (as opposed to the year following the event) shows very similar results. Throughout the rest of the paper, we focus on life insurance demand for the year following catastrophes for three reasons: (1) Browne and Hoyt (2000) analyze flood insurance demand for the year following flood losses, (2) many catastrophes occur in the latter part of the calendar year and so life insurance pur‐ chases related to catastrophes likely are finalized in the following year, and (3) results for both years (year of and year following) are similar. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 145 Demand for Life Insurance The results of various forms of the regression model in Equation (2) using several dependent variables are presented in Table 5. With respect to the primary variable of interest, the coefficients on the CAT variables are positive and significant in four of the five models using each of the independent variables. These results indicate that the demand for life insurance is significantly higher in states that experienced a major catas‐ trophe (relative to those states that did not experience a catastrophe) in the year following the catastrophic event (CAT). In terms of economic signifi‐ cance, the results suggest that states experiencing a catastrophic natural disaster in the prior year issued roughly 4.8 additional policies per thou‐ sand individuals in the state. For a state such as Florida, with a population around 18 million in 2005, our results suggest that the occurrence of a large catastrophe would lead to an additional 86,400 life insurance policies in the following year. Thus, the results presented in Table 5 provide evidence of a relationship between catastrophes and increased demand for life insur‐ ance, consistent with Hypothesis 1a, and suggest that the increase is economically significant. While the results generally support Hypothesis 1, the results presented in Table 5 are mixed with regards to Hypothesis 1b. Specifically, the coefficient on the Contiguous variable is positive and significant in three of the five models, providing some initial evidence of a “neighbor effect.” However, the general lack of statistical significance on the Contiguous variable (or significance exceeding the five percent level of significance) causes us to be cautious in interpreting this result. Overall, the results suggest that there might be a neighbor effect, but the effect appears to be statistically weak in our models. Beyond the primary variables of interest, we also find that a number of the control variables have significant relations with the demand for life insurance. First, we find that states with higher average incomes (Income) tend to have higher policy face values and lower numbers of life insurance policies. These results provide evidence that (1) individuals with higher levels of income likely have a greater need to protect a higher level of income, and (2) while policies in higher income states have (on average) higher face values, these states tend to demand relatively fewer actual life insurance policies than do other states characterized by lower levels of income. Second, we find that states with a larger proportion of older individuals (Aged) tend to exhibit a greater demand for life insurance for all demand variables, excluding the IssuedNum dependent variable. Third, we generally find a positive relation between the demand for group life insurance (GDemand variables) and the demand for individual life CAT 629.65 542.04 545.61 553.49 520.61 531.53 531.20 529.70 504.34 CAT 4195.82 4611.68 5406.29 5460.93 5255.66 5684.74 5834.11 5314.63 4721.55 Year 1997 1999 2000 2002 2003 2004 2005 2006 2009 Year 1997 1999 2000 2002 2003 2004 2005 2006 2009 5388.90 5643.55 5360.98 5597.26 5570.02 5603.43 4969.72 4619.04 3956.90 Non‐CAT IssuedAmt 401.97 438.75 423.61 392.61 480.15 492.17 433.68 496.38 499.02 Non‐CAT ForceNum –667.35** –328.92 473.13 87.48 –314.36 –142.50 436.57 –7.36 238.92 Difference 102.37*** 90.95** 107.59*** 138.92*** 40.46 61.32* 111.93*** 45.66 130.63*** Difference 2009 2006 2005 2004 2003 2002 2000 1999 1997 Year 2009 2006 2005 2004 2003 2002 2000 1999 1997 Year 298.41 288.14 353.62 328.46 301.54 299.70 324.59 292.39 293.82 CAT 39.27 50.93 44.28 43.41 40.00 49.60 44.24 46.85 53.73 CAT 336.63 328.54 303.45 304.85 317.80 313.38 276.09 290.26 274.28 Non‐CAT Premiums 27.09 30.45 29.54 29.01 35.70 34.39 31.99 39.74 42.04 Non‐CAT IssuedNum –38.22* –40.40* 50.17* 23.61 –16.26 –13.68 48.50** 2.13 19.54 Difference 12.18** 20.48*** 14.74*** 14.40*** 4.30 15.21*** 12.25*** 7.11 11.69* Difference 2009 2006 2005 2004 2003 2002 2000 1999 1997 Year CAT 46156.06 41203.86 46526.48 42605.62 39088.54 37284.98 35291.27 31894.24 28855.86 Table 4. Comparison of Means Across the Sample Period 53639.90 47766.68 43408.66 42113.65 39602.88 39620.66 30763.53 31093.73 27841.24 Non‐CAT ForceAmt –7483.84** –6562.82** 3117.82 491.97 –514.34 –2335.68 4527.74** 800.51 1014.62 Difference 146 FIER AND CARSON *, **, and *** indicate significance at the 10%, 5%, and 1% levels, respectively. Variance comparison tests were conducted for each pairing reported above, and Satterthwaite’s (1946) approximation for degrees of freedom are used in instances where observations exhibit unequal variances. The annual mean values for each of the dependent variables are reported in Table 1. Mean values for states that experienced a large catastrophic natural disaster during the prior year (as identified via annual Swiss Re Sigmas) are presented under the column titled “CAT.” Mean values for states that did not experience a large catastrophic natural disaster during the prior year are presented under the column titled “Non‐CAT.” The difference between CAT and Non‐CAT states is reported in the “Difference” column. Comparisons are omitted for 1998, 2001, 2007, and 2008 because catastrophic events as defined for purposes of this study did not occur in our sample for 1997, 2000, 2006, 2007, or 2009. ForceAmt = dollar amount of life insurance in force in thousands, scaled by state population in thousands; ForceNum = number of life insurance policies in force, scaled by state population in thousands; IssuedAmt = dollar amount of life insurance issued in thousands, scaled by state population in thousands; IssuedNum = number of life insurance policies issued, scaled by state population in thousands; Premiums = life insurance premiums written in thousands, scaled by state population in thousands. Dependent variables are calculated using individual life insurance policies only and do not include group life insurance policy data. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 147 148 FIER AND CARSON Fig. 1. Comparison of demand measures across CAT and non‐CAT states. Note: Catastrophic events as defined for purposes of this study did not occur in our sample for 1997, 2000, 2006, 2007, or 2009. Each of the variables above is scaled by state-specific population in thousands (000). The numerator of all dollar value variables above (ForceAmt, IssuedAmt, and Premiums) is in thousands (000). Each demand measure presented in Figure 1 is winsorized at the 1st and 99th percentiles. Dependent variables are calculated using individual life insurance policies only and do not include group life insurance policy data. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 149 Table 5. Catastrophes and the Demand for Life Insurance Variable ForceAmt ForceNum IssuedAmt IssuedNum Premiums CAT 1,828.93** (758.06) 66.65*** (12.06) 333.03*** (119.05) 4.8317*** (1.14) 8.56 (6.97) Contiguous Death Injury Income Homeown 1,650.09 43.04*** 237.66* 2.689* 0.0476 (1,017.18) (14.86) (129.17) (1.36) (9.09) –130.91 –12.64 58.34 –2.36** 6.83 (556.91) (9.17) (100.27) (1.16) (5.65) –4.62* –169.44 3.64 –54.85 0.90* (277.63) (5.64) (54.05) (0.5043) (2.35) 0.8176*** –0.0022 0.1122*** –0.0006*** 0.0047*** (0.1275) (0.0016) (0.0182) (0.0002) (0.0008) –169.59 6.36*** –13.42 0.6057*** –1.18 (123.68) (1.7825) (18.04) (0.1976) (0.9544) Density –2.84*** 0.0113* 0.10 0.0020*** –0.0093* (0.7798) (0.0065) (0.0803) (0.0006) (0.0050) CDepend 431.00** –5.08 120.88*** –0.5223* 0.9708 (196.43) (3.37) (28.85) (0.2700) (2.3382) Aged 1,851.39*** 15.36* 175.74*** –1.04 13.1476** (453.80) (8.03) (63.72) (0.6533) (5.1758) HHI 12,652.20 529.01*** 2,740.22 –4.25 59.78 (19,675.75) (163.76) (2,305.53) (8.71) (157.39) Stringent Gulf 1,310.07 –10.62 360.52* 1.21 18.14 (1,325.08) (22.33) (182.94) (2.04) (13.99) 1,914.48 39.90 517.31** 16.42*** 12.20 (1,844.60) (50.97) (239.64) (4.89) (13.86) –776851.17** –15,903.34*** –161240.68*** –2,112.99*** –6,803.79** (308,590.77) (4,050.86) (43,966.44) (414.53) (2,696.11) GDemand 0.3643*** 0.0031 0.1792*** 0.7256*** 0.9249*** (0.0545) (0.0558) (0.0286) (0.2117) (0.0630) Constant –27,608.11 237.93 –5,503.39** 64.42*** –46.85 (18,320.31) (265.42) (2,612.06) (20.83) (169.71) 663 0.8126 663 0.4464 663 0.6698 663 0.6637 663 0.7027 Surrender Observations R-squared *, **, and *** indicate significance at the 10%, 5%, and 1% levels, respectively. Standard errors are reported in parentheses under the coefficients and are clustered at the state level. All dependent variables and all group life insurance independent variables are winsorized at the 1st and 99th percentiles. GDemand represents group demand variables (GForceAmt, GForceNum, GIssuedAmt, GIssuedNum, and GPremiums). Variable definitions and summary statistics are provided in Tables 2 and 3. 150 FIER AND CARSON insurance policies. This finding would suggest that states with a greater demand for life insurance may exhibit larger demand both in the individ‐ ual and group insurance markets. Fourth, we find consistent evidence of a negative relation between policy surrender activity and the demand for life insurance, suggesting that policy surrenders result in decreased demand for life insurance in the sense that consumers may terminate life insurance without replacing the coverage. Finally, the results provide some evidence of a positive and significant relation between Gulf Coast states and life insurance demand. Specifically, there is some evidence that Gulf Coast states tend to exhibit a greater demand for life insurance, even without the occurrence of a natural disaster.42 DISCUSSION The results from our analyses provide evidence that life insurance purchasing behavior is related to recent state‐specific catastrophe activity. Findings indicate that states affected by catastrophes exhibit a demand for life insurance that is significantly greater than the demand in other states. Expected utility theory would suggest that an individual’s decision to purchase life insurance should be unrelated to the occurrence of a cata‐ strophic event—the expected utility from the purchase should be equiva‐ lent both prior to and following the event, assuming the pricing of the life insurance, the insured’s wealth, and the insured’s probability of death are unaffected by the event. However, prospect theory allows for the potential that the framing of the option (to purchase or not purchase life insurance) impacts the individual’s decision making (Tversky and Kahneman, 1986). Thus, the value that is assigned to the purchase of life insurance by the insured may differ across pre‐ and post‐catastrophic periods, depending on how the gains and losses from that decision are “framed.” Tversky and Kahneman (1974, p. 1127) examine a variety of biases and heuristics that affect judgment, including an “availability” heuristic and a corresponding “retrievability” bias. The authors argue that individuals may assess the probability of an event based on “the ease with which instances or occur‐ rences can be brought to mind.” Although availability may be useful in 42 A number of robustness checks were conducted to ensure the stability of the results, but are not presented in order to conserve space. To ensure that the events of 9/11 and Hurricane Katrina are not exclusively driving the results, we re‐estimate the models with the following omissions: (1) the 2001 observation for New York; (2) the 2002 observation for New York; (3) the 2005 observation for Louisiana; and (4) the 2006 observation for Louisiana. The results from each of the four specifications detailed above are generally consistent with the results presented in Table 5. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 151 determining probability, this heuristic may be biased by “retrievability,” whereby an event that is easily retrieved appears more likely than an event that is less easily retrieved, regardless of the actual probabilities of the two events. It is possible that the ease of event recall increases following catastrophes, which then leads to reassessment of the potential for loss and increased life insurance purchasing behavior. The findings also may relate to an adjustment in risk perception following an event characterized by a great deal of uncertainty. Sunstein and Zeckhauser (2011, p. 436) argue that individuals have a tendency to overreact to low‐probability high‐severity events, leading them to “exag‐ gerate the benefits of preventive, risk reducing, or ameliorative measures,” particularly when faced by vivid and salient events. The occurrence of a catastrophe may lead individuals to overreact to the event as a result of what they witness both in person and through various forms of media, and this overreaction may lead to increased insurance purchasing behavior. Another possible explanation for the higher demand for life insurance in states affected by major catastrophes relates to the issue of regret (e.g., Samuelson and Zeckhauser, 1988). Braun and Muermann (2004) argue that individuals may choose to purchase insurance not because they necessarily believe they need it, but rather because they would regret not having the insurance if an event occurred in which the insurance was needed. From this perspective, the catastrophic event induces regret‐based concern regarding the ownership of life insurance that prompts an individual to make the purchase. The results may also suggest that life insurers direct their marketing efforts toward those affected by the destruction caused by catastrophes.43 As noted in prior research, individuals have a tendency to purchase greater levels of property insurance following the occurrence of a catastrophe (e.g., Palm et al., 1990; Browne and Hoyt, 2000). Our findings suggest that the decision to purchase life insurance following a catastrophe may be made jointly with decisions related to property insurance. Such a decision may relate to the insurer’s increased marketing efforts in an affected area and/ or to increased interactions with the agent/adjuster during the property insurance claims process.44 Similarly, given the heightened sensitivity to 43 This explanation seems rooted in the age‐old adage that “Insurance is sold, not bought.” The findings also may be indicative of what Weisbart described as “a fresh appreciation of the value of owning life insurance,” as exhibited in the early 1900s. 44 As noted previously, our identification of catastrophic events is based on insured property losses. As such, the potential exists that insureds that interact with their agents to handle a property‐related claim resulting from a catastrophe could be persuaded or encouraged to purchase life insurance during the claims handling process. 152 FIER AND CARSON natural disasters and their potentially devastating effects among consum‐ ers who have experienced a catastrophe, public service announcements to encourage mitigation efforts and preparedness for future disasters may experience greater impact following the occurrence of a catastrophe. The decision to purchase insurance also may be related to the individ‐ ual’s reassessment of his or her financial position. For example, using a sample of 15 different OECD countries, Skidmore (2001) finds that the damage caused by natural disasters is positively correlated with household savings rates. Thus, the occurrence of a catastrophic event similarly could lead consumers to recognize potential weaknesses in their financial plan that ultimately drives them to purchase life insurance. The findings also are consistent with the tendency for some individuals to underinsure (e.g., Bernheim et al., 1999). Following a catastrophic event, underinsured indi‐ viduals may be more motivated to purchase new or additional life insur‐ ance so as to reduce the gap between their needs and their coverage. Given the higher demand for life insurance in CAT states, the results suggest a number of managerial implications. First, if insurers are not already increasing their general marketing efforts in catastrophe‐struck states, the higher demand for insurance in these states suggests that life insurers should consider such increased marketing efforts in affected regions. Such an approach would be consistent with “striking while the iron is hot,” and could further increase sales in affected areas.45 Second, especially for those insureds with property insurance claims, agents / adjusters should emphasize the importance of life insurance during the claims process, thus capitalizing on the previously‐noted increase in the demand for property insurance and maximizing the value of the agent/ adjuster contact time gained through the claims process. SUMMARY AND CONCLUSIONS Major natural disasters adversely impact individuals, firms, states, and even national economies, causing substantial property damage and loss of life. The large property losses caused by catastrophes have led prior literature to focus on the relationship between catastrophes and property insurance demand. We extend the scope of prior research by evaluating the relationship between catastrophic events and the demand for life insur‐ 45 One caveat to such a strategy is the potential for lapsed or surrendered policies. If individ‐ uals purchase the policies following the occurrence of a catastrophic event and then subse‐ quently decide coverage is unnecessary, insurers may face increasing expenses as the policies are not held long enough to recoup expenses. CATASTROPHES AND THE DEMAND FOR LIFE INSURANCE 153 ance, and we provide empirical evidence that the demand for life insurance in states directly affected by major catastrophes is significantly higher than life insurance demand in non‐affected states in the year following the event. Future research may consider the relation of catastrophes to life insur‐ ance demand in markets outside of the United States. As noted earlier, the majority of natural disasters that occur in the U.S. do not result in substan‐ tial loss of life. 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