Versicherungszyklen in der deutschen KFZ-Versicherung

In this paper we analyze underwriting cycles in the German motor insurance industries for the last 50 years. A special emphasis is laid on the so-called aggregation bias that arises when data from different lines of business is merged in a total market statistic. In literature, underwriting cycles were found for many international markets and for numerous lines of business. We find underwriting cycles for the German motor insurance with lengths between six and ten years, which have been increasing for the last years. Our empirical evidence on cycle lengths in German motor insurance fits well into the context of international comparative studies on underwriting cycles.     

A Theory of the Demand for Underwriting

We examine the demand for underwriting and its effect on equilibrium in an insurance market in which insureds know their risk type, but insurers do not. Our analysis indicates that a set of policies including one that requires buyers to take an underwriting test can constitute a full coverage Nash equilibrium when perfect classification is possible. We also find that underwriting equilibria, in which low risks obtain greater coverage than they would without underwriting, widely exist in a Wilsonian market with nonmyopic insurers. Our findings provide a potential explanation for why empirical evidence on adverse selection is mixed.     

The Satellite Insurance Market and Underwriting Cycles

This research analyses whether underwriting cycles are present in an important but often overlooked line of insurance, satellite insurance. Unlike previous underwriting cycle studies, this study uses rates-on-line and capacity devoted to satellite insurance as well as loss ratios to determine the applicability of cycles. The sample period encompasses virtually the entire history of the satellite insurance industry, 1968–2010. The results indicate that cycles are present in the minimum and average rates-on-line and in capacity, but not the loss ratio. Regression analysis is carried out on the rate-on-line and capacity variables, and the regression results support the rational expectations/institutional intervention hypothesis and the capacity constraint (capital shock) hypothesis.     

Are Underwriting Cycles Real and Forecastable?

Speculative efficiency often requires that future changes in a series cannot be forecast. In contrast, series with a cyclical component would seem to be forecastable with decreases, possibly relative to a trend, during the upper part of the cycle and increases during the lower part. On the basis of autoregressive model (AR) estimates, it is considered that there is strong evidence of cycles in insurance underwriting performance as measured by the premium‐to‐loss ratio. Indeed, a large literature attempts to explain this documented cyclicality. First, we show that the parameter estimates from AR models do not lead to any such inference and that in the contrary, the evidence in the data is consistent with no cyclicality at all. Second, we show that a number of different filters lead to the same conclusion: that there is no evidence of in‐sample or out‐of‐sample predictability in annual insurance underwriting performance in the United States.     

U.S. Reinsurance Prices, Financial Quality, and Global Capacity

The puzzle of underwriting cycles and insurance crises in property‐liability insurance has led to numerous economic hypotheses and analyses, yet no single theory seems capable of explaining all of its aspects. Reinsurance is hypothesized to be a potential factor in observed cycles in the primary market; despite this, few underwriting cycle studies focus on reinsurance. The purpose of this research is to investigate determinants of reinsurance prices in the U.S. Nonproportional reinsurance is highlighted, since it is designed to cover the tail of the loss distribution and is considered to be relatively riskier than proportional reinsurance as a result. Separate samples of professional U.S. reinsurers for property and for casualty are studied, based upon the reinsurers' writings of property versus casualty nonproportional reinsurance. The sample period is 1991–1995. The results support both the capacity constraint hypothesis and the risky debt hypothesis, and this is the first research to support both. A major innovation in this study is the use of capacity variables that are broken down by major region of the world.     

The Determination of Fair Profits for the Property-Liability Insurance Firm

Single period and dynamic valuation models in continuous time, under certainty and uncertainty, are developed for a property-liability insurance contract to determine the “fair” (competitive) premium and underwriting profit. The intertemporal stochastic model assumes that the claim frequency and the price index of claim settlements are functions of a set of underlying state variables which follow a multivariate Wiener process. The competitive premium is shown to be proportional to the claim frequency and the price index for claim settlements at the time the policy is issued. The factor of proportionality varies directly with the claim settlement rate and the length of coverage, and inversely with the risk-adjusted real interest rate on the dollar-valued claim rate.     

Product-market strategy and underwriting performance in the United Kingdom’s property–casualty insurance market

Drawing on a framework from the organizational economics literature, we utilize a panel data design to examine empirically the effect of motor insurance and liability insurance business on the overall underwriting performance of insurers operating in the United Kingdom’s (UK) property–casualty insurance market. We find that participation in liability insurance contributes positively to underwriting performance, whereas motor insurance is associated with inferior underwriting performance. Additionally, we find that higher reinsurance ratio is associated with better underwriting performance, but reduced profit margins. Our results show that higher leverage too is associated with better underwriting performance. We conclude that our results could have potentially important commercial and/or policy implications.     

The Dynamics of Insurance Prices

We develop a continuous-time general-equilibrium model to rationalise the dynamics of insurance prices in a competitive insurance market with financial frictions. Insurance companies choose underwriting and financing policies to maximise shareholder value. The equilibrium price dynamics are explicit, which allows simple numerical simulations and generates testable implications. In particular, we find that the equilibrium price of insurance is (weakly) predictable and the insurance sector always realises positive expected profits. Moreover, rather than true cycles, insurance prices exhibit asymmetric reversals caused by the reflection of the aggregate capacity process at the dividend and recapitalisation boundaries.     

Underwriting relationships: Information production costs, underwriting fees, and first mover advantage

We study underwriting relationships in the floating rate debt market, where many issuers have a large number of offerings. We find that frequent issuers maintain close relationship with only three to five underwriters and pay significantly less underwriting fees than infrequent issuers. The findings are consistent with the notion that starting an underwriting relationship requires expenses for information production. We also find that an issuer’s first underwriter has a cost advantage over later-comers in competing for the issuer’s business. As a result, the first underwriter wins a larger share of the issuer’s business. JEL Classification G21 · G24     

Systemic Risk,Financial Crisis,and Credit Risk Insurance

Differing from conventional insurance firms whose underwriting business does not contribute to systemic risk, credit risk insurance companies providing credit protections for debt obligations are exposed to systemic risk. We show that credit risk insurers (CRIs) underperformed conventional insurance companies during the 2007–2009 financial crisis, and such underperformance is attributed to the greater systemic risk of CRIs. We also find that the credit spreads of insured bonds increase significantly after their insurers are downgraded or put in the negative watch list. We control for alternative factors affecting bond credit spreads and the result is robust.     

非寿险承保风险引发系统性风险的复杂网络分析

本文基于我国财险业2009～2018年数据,用复杂网络理论模型构建了财险业承保业务网络,并模拟了承保风险传染过程,分析了承保风险对财险业系统性风险的影响轨迹及程度.研究发现,我国财险业承保业务网络的联系越来越密切,承保风险的增加会引发传染风险,进而导致爆发系统性风险.但当前我国财险业整体稳定,只有发生1600亿元及以上...     

Impact of Underwriting Cycles on the Solvency of an Insurance Company

Abstract

This paper studies the solvency of an insurance firm in the presence of underwriting cycles. A small or medium-size insurance company with a price-taker position in the market is considered. Its premium income is assumed to obey an autoregressive process with cycles. Specifically, the premium income for a specific calendar year is influenced by the market experience for the last couple years. Under this classical AR(2) dynamics governing the premium income, an explicit expression for the ultimate ruin probability is derived, using a martingale approach, in the lighttailed claims case. Furthermore, the logarithmic asymptotic behavior of the ultimate ruin probability as well as the typical path to ruin are investigated. Then a comparison is made with the classical case where the same company operates on a market without such cycles. Asymptotically, the presence of market cycles is shown to increase the risk for the company. Numerical illustrations are performed on Canadian motor insurance market data and support the theoretical analysis.     

Adverse Selection and the Opaqueness of Insurers

While adverse selection problems between insureds and insurers are well known to insurance researchers, few explore adverse selection in the insurance industry from a capital markets perspective. This study examines adverse selection in the quoted prices of insurers' common stocks with a particular focus on the opacity of both asset portfolios and underwriting liabilities. We find that more opaque underwriting lines result in greater adverse selection costs for property-casualty (P-C) insurers. A similar effect is not apparent for life-health (L-H) insurers and we find no effect of asset opaqueness on adverse selection for either L-H or P-C insurers.     

Do Property‐Casualty Insurance Underwriting Margins Have Unit Roots?

A growing literature analyzes determinants of insurance prices using time series data on insurer underwriting margins. If the variables analyzed are stationary, conventional regression models may be appropriately used to test hypotheses. Based on pretests for a unit root, several studies have instead used co‐integration analysis to analyze the long‐run relationship between purportedly nonstationary underwriting margins and macroeconomic variables. We apply a battery of unit root tests to investigate whether underwriting margins are stationary under different assumptions concerning deterministic components in the data generating process (DGP). When linear and/or quadratic trends are included in the assumed DGPs, the tests reject the null hypothesis of a unit root for loss ratios, expense ratios, combined ratios, and economic loss ratios from 1953 through 1998 for many of the individual lines examined and for all lines combined. Consistent with prior work on whether macroeconomic variables have unit roots, a simulation of test power for underwriting margins during the sample period demonstrates that nonrejections of the null hypothesis of a unit root could easily reflect low power. The overall findings suggest that conventional regression methods can be used appropriately to analyze underwriting margins after controlling for deterministic influences and transforming any nonstationary regressors.     

Forecasting Longevity Gains for a Population with Short Time Series Using a Structural SUTSE Model: An Application to Brazilian Annuity Plans

In this article, a multivariate structural time series model with common stochastic trends is proposed to forecast longevity gains of a population with a short time series of observed mortality rates, using the information of a related population for which longer mortality time series exist. The state space model proposed here makes use of the seemingly unrelated time series equation and applies the concepts of related series and common trends to construct a proper model to predict the future mortality rates of a population with little available information. This common trends approach works by assuming the two populations’ mortality rates are affected by common factors. Further, we show how this model can be used by insurers and pension funds to forecast mortality rates of policyholders and beneficiaries. We apply the proposed model to Brazilian annuity plans where life expectancies and their temporal evolution are predicted using the forecast longevity gains. Finally, to demonstrate how the model can be used in actuarial practice, the best estimate of the liabilities and the capital based on underwriting risk are estimated by means of Monte Carlo simulation. The idiosyncratic risk effect in the process of calculating an amount of underwriting capital is also illustrated using that simulation.     

Effective Underwriting in the Genetic Testing Era

This paper notes that prior to the availability of genetic test results, conventional life insurance underwriting had produced satisfactory mortality results even though a number of applicants insured at standard or better must have had serious genetic markers. The paper discusses the problems that may affect underwriting when an applicant is aware of a genetic risk factor.

The paper suggests use of pre-genetic testing era underwriting methodology, including medical history and family history, with strict financial underwriting to control antiselection. A set of underwriting rules is provided. The need for a sales organization that can produce a substantial amount of business is cited as necessary for success.

To spread equitably any excess cost on account of insuring persons with genetic markers, a risk pool is suggested. The pool manager would also inform a company of additional applications to other companies by genetically impaired applicants.

The purpose of the proposal is to deflect ill-advised political solutions and, at the same time, to control expenses by ensuring a high ratio of paid-for policies to applications.     

On the Demand for Portfolio Insurance

While insurers manage underwriting risk with various methods including reinsurance, insurers increasingly manage asset risk with options, futures, and other derivatives. Previous research shows that buyers of portfolio insurance pay considerably for downside protection. We add to this literature by providing the first evidence on the cost of portfolio insurance, the payoff to portfolio insurance, and the relative demand for portfolio insurance across VIX levels. We find that the demand for portfolio insurance is relatively high at low levels of VIX, suggesting purchasers demand more downside protection when this protection is cheap on an absolute basis (but expensive on a relative basis). We also provide the first evidence on the hedging behavior of specific investor classes and show that the demand for portfolio insurance is driven by retail investors (individuals) who buy costly insurance from institutional investors. Results are consistent with other types of paradoxical insurance‐buying behavior.     

Are health insurers in multiple lines of business less profitable? An examination of scope economies in health insurance

In markets where companies can offer multiple products or services, production costs may decline, and profitability may increase as business scope expands. Using a sample of health insurers from 2015 to 2018 with data reported in the annual NAIC Supplemental Health Care Exhibit, we test whether scope economies exist among health insurers. We evaluate the relationship between scope and four profitability metrics—the medical loss ratio, the expense ratio, the underwriting profit ratio, and a profit efficiency measure obtained using a data envelopment analysis technique. We test two competing hypotheses from prior literature on scope economies in insurance. The strategic focus hypothesis states performance is higher for insurers that specialize in one line of business. The conglomeration hypothesis states performance is higher for insurers that operate in multiple lines of business. Our results provide evidence in support of the strategic focus hypothesis among US health insurers.     

隧道施工造成的环境损失分析理论在工程保险中的应用研究

城市轨道交通建设中涉及第三者财产损失的事故占有相当比例。近年来,已有较多的工程风险基本理论及风险管理方面的研究成果,然而针对隧道的风险管理却应用较少,特别是基于量化方法的风险分析研究比较缺乏,这导致了工程风险分析和工程保险工作一直缺乏数理分析依据。文章在盾构隧道施工的环境风险分析与工程保险的承保条件评价中使用了量化的方...