The Impact of Institutional Ownership on the Reinsurance Decision

Risk management has a central role in corporate America. Insurance companies frequently manage risk by purchasing reinsurance because it reduces the downside risk (i.e., bankruptcy risk) of an insurer. Because reinsurance is costly, Mayers and Smith (1990, Journal of Business , 63: 19-40) argue that reinsurance purchases should be negatively associated with the diversification of the owners' portfolios. Further, institutional owners play a significant role in equity markets yet we know little about their effect on firm behavior. The purpose of this study is to examine empirically the influence of institutional ownership on reinsurance for a sample of widely held property-liability insurers. We hypothesize that insurers with higher levels of institutional ownership purchase less reinsurance. Using a sample of 45 publicly traded property-liability insurers from 1995 to 1997, we demonstrate that the utilization of reinsurance decreases as the level of institutional ownership increases. This suggests that the diversification of the owners' portfolios is a determinant of the insurers' reinsurance decisions.     

Catastrophe Bonds and Reinsurance: The Competitive Effect of Information-Insensitive Triggers

We identify a new benefit of index or parametric triggers. Asymmetric information between reinsurers on an insurer's risk affects competition in the reinsurance market: reinsurers are subject to adverse selection, since only high-risk insurers may find it optimal to change reinsurers. The result is high reinsurance premiums and cross-subsidization of high-risk insurers by low-risk insurers. A contract with a parametric or index trigger (such as a catastrophe bond) is insensitive to information asymmetry and therefore alters the equilibrium in the reinsurance market. Provided that basis risk is not too high, the introduction of contracts with parametric or index triggers provides low-risk insurers with an alternative to reinsurance contracts, and therefore leads to less cross-subsidization in the reinsurance market.     

中国的“影子保险”:来自监管自然实验的证据

影子保险在金融稳定中扮演着重要角色,但现有文献较多关注影子银行,对影子保险关注不足。“影子保险”即保险公司通过再保险方式将保险业务转移给不受监管或者受监管较弱的关联企业的活动,这会推高其真实的杠杆水平,增加金融体系脆弱性。然而,由于影子保险的不透明性和缺少自然实验,现有研究仅基于有限数据或模型给出简单的特征事实或结构性估计,很少能从因果关系上清楚地识别影子保险活动及其机制。本文利用中国加强对中资保险公司(处理组)再保险关联交易监管的政策冲击这一自然实验,使用微观数据和双重差分方法,识别了中国金融体系中的影子保险活动。研究发现,相关监管有效降低了影子保险活动,这一效应对集团公司的影响尤为显著;在机制方面,相关监管通过影响中资保险公司资产负债表两端的结构性调整进而降低了其风险承担行为,提高了经营稳定性。本文方法对识别金融机构的监管套利和防范系统性金融风险具有一定参考意义。     

Reinsurance and Capital Structure: Evidence From the United Kingdom Non‐Life Insurance Industry

Using a data set consisting of statutory returns of U.K. non‐life insurers from 1985 to 2002, I find that insurers with higher leverage tend to purchase more reinsurance, and insurers with higher reinsurance dependence tend to have a higher level of debt. My results are consistent with the expected bankruptcy costs argument, agency costs theory, risk‐bearing hypothesis, and renting capital hypothesis. I also find that the impact of leverage on reinsurance will be weaker for insurers that use more derivatives than those that use less. Moreover, high levels of derivative use increase the leverage gains attributable to reinsurance.     

The Design of Private Reinsurance Contracts

This article examines the effect of asymmetric information on the trading of underwriting risk between insurers and reinsurers and how it is mitigated in a context of long-term relationships. It begins by explaining how information problems affect the efficiency of the allocation of risk between insurers and reinsurers and how long-term implicit contracts allow the inclusion of new information in the pricing of reinsurance coverage. A key feature of these relationships is the reliance on loss-contingent rebates and commissions in the pricing of reinsurance coverage. We argue that when information is revealed only over time, long-term implicit contracts between insurers and reinsurers allow the inclusion of new information into reinsurance pricing. Because of this feature, the allocation of risk between insurers and reinsurers is more efficient. Specifically, such arrangements lead to more reinsurance coverage, higher insurer profits, and lower expected distress in the industry. Journal of Economic Literature Classification Numbers: G22, G13, L15, D81.     

Zunehmende Unsicherheit als Risiko für die Versicherung: Risikotransfer zwischen Unternehmen,Banken, Versicherungen und Märkten

The increase in natural and human catastrophes is well documented. For risk averse private customers this increase in risks implies an increase in the willingness to pay for insurance which in turn increases the business possibilities for insurers. However, this argumentation can not be transferred to firm insurance, as, following the work by Modigliani and Miller, companies are in general not to be regarded as being risk averse. In this article we discuss with the example of the demand for reinsurance why firms might want to shift risk to other firms. An empirical study for the German market for reinsurance is presented. The results are then used to discuss whether an increase in risk might lead to an increase in risk transfers between firms and insurers.     

Tail Risk Networks of Insurers Around the Globe: An Empirical Examination of Systemic Risk for G-SIIs vs Non-G-SIIs

In this article, we investigate systemic risk of 157 insurers around the globe. We construct tail risk networks among these insurers using a single-index model for quantile regressions with a variable selection technique. We develop a new network-based systemic risk indices, taking into account expected tail losses of insurers, direct and indirect contagion effects, and the time-varying strength of tail risk spillover. Our systemic risk indices successfully recognize global systemically important insurers (G-SIIs). We find that on average G-SIIs are more systemically relevant than non-G-SIIs, particularly during the recent U.S. financial crisis. We also find a small group of non-G-SIIs that are more important than G-SIIs. Our results have significant implications for systemic risk regulation.     

A Reexamination of the Corporate Demand for Reinsurance

This study examines the effect of the state of the international reinsurance market on the demand for reinsurance by U.S. insurers using data from the years 1993 through 2000. Both the overall demand for reinsurance and the utilization of foreign reinsurance by U.S. insurers are explored. In addition to supporting the findings of prior literature related to the traditional motives for the corporate demand for insurance, evidence indicates that the state of the U.S. reinsurance industry impacts the amount of reinsurance demanded by U.S. insurers. The study also investigates reasons why U.S. insurers utilize a reinsurance program composed of both U.S. and foreign reinsurers. The results indicate that the decision to utilize some percentage of foreign reinsurance is driven primarily by the financial and operational characteristics of the ceding company such as firm size, group affiliation, and organizational form. However, no support is found for the hypothesis that possible differences between the foreign and U.S. reinsurance markets impact the decision to utilize foreign reinsurance.     

Does Reinsurance Need Reinsurers?

The reinsurance market is the secondary market for insurance risks. It has a very specific organization. Direct insurers rarely trade risks with each other. Rather, they cede part of their primary risks to specialized professional reinsurers who have no primary business. This article offers a model of equilibrium in reinsurance and capital markets in which professional reinsurers arise endogenously. Their role is to monitor primary insurers credibly, so that insurers can raise capital more easily. In equilibrium, the financial structure of primary insurers consists of a mix of reinsurance and outside capital. The comparative statics yield empirical predictions which are broadly in line with a number of stylized facts from the reinsurance market.     

Enhancing Insurer Value Using Reinsurance and Value-at-Risk Criterion

The quest for optimal reinsurance design has remained an interesting problem among insurers, reinsurers, and academicians. An appropriate use of reinsurance could reduce the underwriting risk of an insurer and thereby enhance its value. This paper complements the existing research on optimal reinsurance by proposing another model for the determination of the optimal reinsurance design. The problem is formulated as a constrained optimization problem with the objective of minimizing the value-at-risk of the net risk of the insurer while subjecting to a profitability constraint. The proposed optimal reinsurance model, therefore, has the advantage of exploiting the classical tradeoff between risk and reward. Under the additional assumptions that the reinsurance premium is determined by the expectation premium principle and the ceded loss function is confined to a class of increasing and convex functions, explicit solutions are derived. Depending on the risk measure's level of confidence, the safety loading for the reinsurance premium, and the expected profit guaranteed for the insurer, we establish conditions for the existence of reinsurance. When it is optimal to cede the insurer's risk, the optimal reinsurance design could be in the form of pure stop-loss reinsurance, quota-share reinsurance, or a combination of stop-loss and quota-share reinsurance.     

The market for catastrophe risk: a clinical examination

This paper examines the market for catastrophe event risk – i.e., financial claims that are linked to losses associated with natural hazards, such as hurricanes and earthquakes. Risk management theory suggests protection by insurers and other corporations against the largest cat events is most valuable. However, most insurers purchase relatively little cat reinsurance against large events, and premiums are high relative to expected losses. To understand why the theory fails, we examine transactions that look to capital markets, rather than traditional reinsurance markets, for risk-bearing capacity. We develop eight theoretical explanations and find the most compelling to be supply restrictions associated with capital market imperfections and market power exerted by traditional reinsurers.     

VAR and CTE Criteria for Optimal Quota-Share and Stop-Loss Reinsurance

Abstract

It is well known that reinsurance can be an effective risk management tool for an insurer to minimize its exposure to risk. In this paper we provide further analysis on two optimal reinsurance models recently proposed by Cai and Tan. These models have several appealing features including (1) practicality in that the models could be of interest to insurers and reinsurers, (2) simplicity in that optimal solutions can be derived in many cases, and (3) integration between banks and insurance companies in that the models exploit explicitly some of the popular risk measures such as value-at-risk and conditional tail expectation. The objective of the paper is to study and analyze the optimal reinsurance designs associated with two of the most common reinsurance contracts: the quota share and the stop loss. Furthermore, as many as 17 reinsurance premium principles are investigated. This paper also highlights the critical role of the reinsurance premium principles in the sense that, depending on the chosen principles, optimal quota-share and stop-loss reinsurance may or may not exist. For some cases we formally establish the sufficient and necessary (or just sufficient) conditions for the existence of the nontrivial optimal reinsurance. Numerical examples are presented to illustrate our results.     

Regulatory capital and asset risk transfer

We explore whether life insurers use a unique reinsurance arrangement to manage assets tied to their regulatory capital. Typical reinsurance allows insurers to reduce their regulatory capital by transferring liabilities (reserves), and the associated assets, to reinsurers. With modified coinsurance (ModCo), insurers maintain control of their liabilities and assets while transferring regulatory capital requirements to the reinsurer. Holding fixed an insurer's reported capital, we find that ModCo allows insurers to report higher risk-based capital ratios. Insurers with ModCo are less likely to fire sale downgraded bonds. We also find suggestive evidence of regulatory arbitrage, as most ModCo is purchased from reinsurers in countries with low capital requirements or within the same insurance group.     

Optimal Reciprocal Reinsurance Treaties Under the Joint Survival Probability and the Joint Profitable Probability

A reinsurance treaty involves two parties, an insurer and a reinsurer. The two parties have conflicting interests. Most existing optimal reinsurance treaties only consider the interest of one party. In this article, we consider the interests of both insurers and reinsurers and study the joint survival and profitable probabilities of insurers and reinsurers. We design the optimal reinsurance contracts that maximize the joint survival probability and the joint profitable probability. We first establish sufficient and necessary conditions for the existence of the optimal reinsurance retentions for the quota‐share reinsurance and the stop‐loss reinsurance under expected value reinsurance premium principle. We then derive sufficient conditions for the existence of the optimal reinsurance treaties in a wide class of reinsurance policies and under a general reinsurance premium principle. These conditions enable one to design optimal reinsurance contracts in different forms and under different premium principles. As applications, we design an optimal reinsurance contract in the form of a quota‐share reinsurance under the variance principle and an optimal reinsurance treaty in the form of a limited stop‐loss reinsurance under the expected value principle.     

Traditional versus non-traditional reinsurance in a dynamic setting

We consider a stochastic risk reserve process whose risk exposure can be controlled dynamically by applying proportional reinsurance and by issuing CAT Bonds. The CAT Bond payments are only partly correlated with the insurers losses. The aim is to minimize the probability of ruin. Using a two-dimensional diffusion approximation we obtain a controlled diffusion problem which can be solved explicitly with the help of the HJB equation. We present some numerical results and discuss to which extend the proportional reinsurance can be replaced by issuing CAT Bonds.     

Reinsurance and corporate taxation in the United Kingdom life insurance industry

There are two main tax-related arguments regarding the use of reinsurance – the income volatility reduction and the income level enhancement arguments. The income volatility reduction argument contends that firms facing convex tax schedules have incentives to hedge in order to reduce the volatility of their annual taxable income and thereby lower expected tax liabilities [Smith, C.W., Stulz, R.M., 1985. Optimal hedging policies. Journal of Financial and Quantitative Analysis 19, 127–140]. The income level enhancement argument, advanced by Adiel [Adiel, R., 1996. Reinsurance and the management of regulatory ratios and taxes in the property–casualty insurance industry. Journal of Accounting and Economics 22, 207–240], is more specific to hedging via reinsurance. This perspective holds that reinsurance enhances current reported earnings via the receipt of reinsurance commissions and so increases tax liabilities. Consequently, insurance firms with high marginal tax rates should use less reinsurance than those with low marginal tax rates if tax matters. Prior studies using data on financial derivatives have produced mixed results on the validity of the first argument, while Adiel (1996) finds the second argument insignificant in his study of the use of reinsurance by a sample of United States (US) property–liability insurance firms. This study tests the two tax-related arguments using 1992–2001 data for a sample of United Kingdom (UK) life insurance firms. We find that UK life insurers with low before-planning marginal tax rates tend to use more reinsurance; in contrast, tax convexity is found to have no significant impact on the purchase of reinsurance and so the volatility-reduction argument is not supported.     

Financial Innovation in the Management of Catastrophe Risk

Like the preceding article, this article argues that the high costs of reinsurance present the opportunity for hedging instruments to be offered to primary insurers that are both competitive with current reinsurance and that offer investors high rates of return. But the combination of high reinsurance premiums and the vast capacity of the capital market for diversification is not sufficient to ensure the success of these new instruments. If new instruments such as catastrophe options and catastrophelinked bonds are to compete successfully with reinsurance, they must provide a cost-effective means of resolving incentive conflicts between the primary insurer and the ultimate risk bearer that are known as "moral hazard." Without an effective solution of this moral hazard problem, the use of past insurance loss data to estimate the potential returns for purchasers of catastrophe bonds and other such instruments will be misleading and unreliable.
As the author demonstrates, both traditional reinsurance and each of the new catastrophe hedging instruments presents insurance companies and other hedgers with the challenge of managing a different combination of moral hazard, credit risk, and basis risk. For example, traditional catastrophe reinsurance is subject to significant credit risk and moral hazard, but little if any basis risk. By contrast, both catastrophe options and bonds can be designed in ways that reduce moral hazard and credit risk, but at the cost of taking on some basis risk. The risk manager's task in such circumstances is to design an instrument that embodies the optimal, or cost-minimizing, trade-off among these three sources of risk.     

Budget-constrained optimal reinsurance design under coherent risk measures

ABSTRACT

Reinsurance is a versatile risk management strategy commonly employed by insurers to optimize their risk profile. In this paper, we study an optimal reinsurance design problem minimizing a general law-invariant coherent risk measure of the net risk exposure of a generic insurer, in conjunction with a general law-invariant comonotonic additive convex reinsurance premium principle and a premium budget constraint. Due to its intrinsic generality, this contract design problem encompasses a wide body of optimal reinsurance models commonly encountered in practice. A three-step solution scheme is presented. Firstly, the objective and constraint functions are exhibited in the so-called Kusuoka's integral representations. Secondly, the mini-max theorem for infinite dimensional spaces is applied to interchange the infimum on the space of indemnities and the supremum on the space of probability measures. Thirdly, the recently developed Neyman–Pearson methodology due to Lo (2017a) is adopted to solve the resulting infimum problem. Analytic and transparent expressions for the optimal reinsurance policy are provided, followed by illustrative examples.     

Internal Versus External Capital Markets in the Insurance Industry: The Role of Reinsurance

This study compares internal and external sources of capital in the insurance industry by analyzing reinsurance activity between affiliated and unaffiliated insurers. Tests are performed using data from a large sample of property-liability insurers that are affiliated with at least one other property-liability insurer. Results indicate that while demands for internal and external reinsurance have some factors in common, there are cost-based differences in internal and external capital, as well as structural differences in the use of internal and external reinsurance. Results are consistent with previous theories related to internal versus external capital markets.     

Reinsurance for Natural and Man-Made Catastrophes in the United States: Current State of the Market and Regulatory Reforms

U.S. insurers are heavily dependent on global reinsurance markets to enable them to provide adequate primary market insurance coverage. This article reviews the response of the world's reinsurance industry to recent mega-catastrophes and provides recommendations for regulatory reforms that would improve the efficiency of reinsurance markets. The article also considers the supply of insurance and reinsurance for terrorism and makes recommendations for joint public–private responses to insuring terrorism losses. The analysis shows that reinsurance markets responded efficiently to recent catastrophe losses and that substantial amounts of new capital enter the reinsurance industry very quickly following major catastrophic events. Considerable progress has been made in improving risk and exposure management, capital allocation, and rate of return targeting. Insurance price regulation for catastrophe-prone lines of business is a major source of inefficiency in insurance and reinsurance markets. Deregulation of insurance prices would improve the efficiency of insurance markets, enabling markets to deal more effectively with mega-catastrophes. The current inadequacy of the private terrorism reinsurance market suggests that the federal government may need to remain involved in this market, at least for the next several years.