Integrated Risk Management and the Role of the Risk Manager

ABSTRACT: Although the transferring of a firm's pure risk historically has been conducted through the insurance and reinsurance markets, risk managers of large corporations are reportedly becoming more sophisticated with regard to their risk financing strategies. This increased sophistication has come in the form of greater use of techniques such as captives, finite risk insurance, financial reinsurance, and risk retention groups. The purpose of this study is to assess the characteristics and extent of integrated risk management. Using survey data, we evaluate several aspects of risk management integration, including (1) the extent to which risk managers are involved in managing both pure and financial risks facing their firms, (2) the nonoperational types of risks handled by risk managers and the techniques being used to handle a broader set of risks, and (3) the effect that factors such as the size of the firm, the firm's industry, and the background and training of the risk manager has on participation in integrated risk management activities.     

Vergleich von ökonomischen und biometrischen Risiken in der Personenversicherung

In life insurance both the time and the amount of future payments between insurer and policyholder may be stochastic; biometrical as well as financial risks are transferred to the insurer. We present an approach that allows to decompose the randomness of the discounted value of future benefits and premiums to a sum whose addends correspond to the uncertainty of the policy development, the interest rates, the probabilities of death, the probabilities of disablement, etc. Upon modeling the actuarial assumptions stochastically, we quantify these risk factors for typical life insurance contracts and compare them with each other. Contrary to a common folklore, the examples show that the systematic biometrical risks are in many cases not marginal compared to the interest rate risk.     

Variance of the CTE Estimator

Abstract

The Conditional Tail Expectation (CTE), also called Expected Shortfall or Tail-VaR, is a robust, convenient, practical, and coherent measure for quantifying financial risk exposure. The CTE is quickly becoming the preferred measure for statutory balance sheet valuation whenever real-world stochastic methods are used to set liability provisions. We look at some statistical properties of the methods that are commonly used to estimate the CTE and develop a simple formula for the variance of the CTE estimator that is valid in the large sample limit. We also show that the formula works well for finite sample sizes. Formula results are compared with sample values from realworld Monte Carlo simulations for some common loss distributions, including equity-linked annuities with investment guarantees, whole life insurance and operational risks. We develop the CTE variance formula in the general case using a system of biased weights and explore importance sampling, a form of variance reduction, as a way to improve the quality of the estimators for a given sample size. The paper closes with a discussion of practical applications.     

Mitigating Interest Rate Risk in Variable Annuities: An Analysis of Hedging Effectiveness under Model Risk

Variable annuities are investment vehicles offered by insurance companies that combine a life insurance policy with long-term financial guarantees. These guarantees expose the insurer to market risks, such as volatility and interest rate risks, which can be managed only with a hedging strategy. The objective of this article is to study the effectiveness of dynamic delta-rho hedging strategies for mitigating interest rate risk in variable annuities with either a guaranteed minimum death benefit or guaranteed minimum withdrawal benefit rider. Our analysis centers on three important practical issues: (1) the robustness of delta-rho hedging strategies to model uncertainty, (2) the impact of guarantee features (maturity versus withdrawal benefits) on the performance of the hedging strategy, and (3) the importance of hedging interest rate risk in either a low and stable or rising interest rate environment. Overall, we find that the impact of interest rate risk is equally felt for the two types of products considered, and that interest rate hedges do lead to a significant risk reduction for the insurer, even when the ongoing low interest rate environment is factored in.     

An Actuarial Index of the Right-Tail Risk

Abstract

A common characteristic for many insurance risks is the right-tail risk, representing low-frequency, large-loss events. In this paper I propose a measure of the right-tail risk by defining the right-tail deviation and the right-tail index. I explain how the right-tail deviation measures the right-tail risk and compare it to traditional measures such as standard deviation, the Gini mean, and the expected policyholder deficit. The right-tail index is applied to some common parametric families of loss distributions.     

The Poisson Log-Bilinear Lee-Carter Model

Abstract

Life insurance companies deal with two fundamental types of risks when issuing annuity contracts: financial risk and demographic risk. Recent work on the latter has focused on modeling the trend in mortality as a stochastic process. A popular method for modeling death rates is the Lee-Carter model. This methodology has become widely used, and various extensions and modifications have been proposed to obtain a broader interpretation and to capture the main features of the dynamics of mortality rates. In order to improve the measurement of uncertainty in survival probability estimates, in particular for older ages, the paper proposes an extension based on simulation procedures and on the bootstrap methodology. It aims to obtain more reliable and accurate mortality projections, based on the idea of obtaining an acceptable accuracy of the estimate by means of variance reducing techniques. In this way the forecasting procedure becomes more efficient. The longevity question constitutes a critical element in the solvency appraisal of pension annuities. The demographic models used for the cash flow distributions in a portfolio impact on the mathematical reserve and surplus calculations and affect the risk management choices for a pension plan. The paper extends the investigation of the impact of survival uncertainty for life annuity portfolios and for a guaranteed annuity option in the case where interest rates are stochastic. In a framework in which insurance companies need to use internal models for risk management purposes and for determining their solvency capital requirement, the authors consider the surplus value, calculated as the ratio between the market value of the projected assets to that of the liabilities, as a meaningful measure of the company’s financial position, expressing the degree to which the liabilities are covered by the assets.     

Should the insurance industry be banking on risk escalation for solvency II?

Basel II introduced a three pillar approach which concentrated upon new capital ratios (Pillar I), new supervisory procedures (Pillar II) and demanded better overall disclosure to ensure effective market discipline and transparency. Importantly, it introduced operational risk as a standalone area of the bank which for the first time was required to be measured, managed and capital allocated to calculated operational risks. Concurrently, Solvency II regulation in the insurance industry was also re-imagining regulations within the insurance industry and also developing operational risk measures. Given that Basel II was first published in 2004 and Solvency II was set to go live in January 2014. This paper analyses the strategic challenges of Basel II in the UK banking sector and then uses the results to inform a survey of a major UK insurance provider. We report that the effectiveness of Basel II was based around: the reliance upon people for effective decision making; the importance of good training for empowerment of staff; the importance of Board level engagement; and an individual's own world view and perceptions influenced the adoption of an organizational risk culture. We then take the findings to inform a survey utilizing structural equation modelling to analyze risk reporting and escalation in a large UK insurance company. The results indicate that attitude and uncertainty significantly affect individual's intention to escalate operational risk and that if not recognized by insurance companies and regulators will hinder the effectiveness of Solvency II implementation.     

Insurance demand and country risks: A nonlinear panel data analysis

This paper investigates the impact of country risks, including political, financial, and economic risks, on the income elasticity of insurance demand. Using the panel smooth transition regression model, we find that there is a significant regime-switching effect concerning the impact of country risks on the income elasticity of insurance demand. A full-sample analysis shows that the income elasticity of insurance demand decreases when country risks diminish. In a subsample analysis based on income level, legal origin, and restriction on banks' participation in insurance activities, we find that the elasticity diminishes in general when economic risk drops. When political risk is lower, the elasticity decreases in countries with high-income, common law origin, and insurance activities permitted by banks, whereas a clear pattern cannot be identified in the case of financial risk.     

An Actuarial Premium Pricing Model for Nonnormal Insurance and Financial Risks in Incomplete Markets

Abstract

A model for pricing insurance and financial risks, based on recent developments in actuarial premium principles with elliptical distributions, is developed for application to incomplete markets and heavy-tailed distributions. The pricing model involves an application of a generalized variance premium principle from insurance pricing to the pricing of a portfolio of nontraded risks relative to a portfolio of traded risks. This pricing model for a portfolio of insurance or financial risks reflects preferences for features of the distributions other than mean and variance, including kurtosis. The model reduces to the Capital Asset Pricing Model for multinormal portfolios and to a form of the CAPM in the case where the traded and nontraded risks have the same elliptical distribution.     

A practical road map for assessing cyber risk

The increase in interconnectivity and developments in technology have caused cyber security to become a universal concern. This paper highlights the dangers of the evolution of cyber risk, the challenges of quantifying the impact of cyber-attacks and the feasibility of the traditional actuarial methodologies for quantifying cyber losses. In this paper, we present a practical roadmap for assessing cyber risk, a roadmap that emphasizes the importance of developing a company and culture-specific risk and resilience model. We develop a structure for a Bayesian network to model the financial loss as a function of the key drivers of risk and resilience. We use qualitative scorecard assessment to determine the level of cyber risk exposure and evaluate the effectiveness of resilience efforts in the organization. We highlight the importance of capitalizing on the knowledge of experts within the organization and discuss methods for aggregating multiple assessments. From an enterprise risk management perspective, impact on value should be the primary concern of managers. This paper uses a value-centric/reputational approach to risk management rather than a regulatory/capital-centric approach to risk.     

金融风险综合评估方法最新研究进展

风险管理是金融机构的基本任务之一,如何有效地评估多种金融风险是风险管理者尤为关注的问题。当前金融风险综合评估方法主要采用由上至下法或由下至上法的理论框架。本文从金融风险综合评估方法所需解决的基本问题入手,详细阐述了金融风险计量方法中的主流模型及其研究现状,结合Copula理论介绍了风险综合评估方法的最新进展,并根据综合评估方法中存在的问题讨论了综合评估方法的前景及展望。     

Insurance and economic policy uncertainty

Just as the world has witnessed the increased importance of the insurance sector over the past few decades, it has also witnessed a sharp rise in risks and uncertainties. Surprisingly, studies analyzing the relationship between economic policy uncertainty and the insurance sector are almost non-existent. Another major limitation of insurance literature is the choice of methodology. Most studies on the insurance sector do not take into consideration issues of heterogeneity and cross-sectional dependence, and are therefore subject to errors. To address the identified gaps, this research investigates the impact of economic policy uncertainty on insurance premiums in a panel of 15 countries over the period 1998–2016 by employing heterogeneous panel estimation techniques with cross-sectional dependence. The Durbin-Hausman cointegration tests of Westerlund (2008) confirm that a long-run relationship exists between the variables. Findings from the error correction based panel estimations show that the insurance sector is not immune to the effects of economic policy uncertainty. Economic policy uncertainty raises insurance premiums both in the short and long run, although the long-run impact is greater than the short-run impact. In addition, economic policy uncertainty exerts a bigger influence on non-life insurance premium than on life insurance premium, indicating that the economic risks covered by non-life insurance are more sensitive to uncertainty than the mortality and longevity risks covered by life insurance. Our findings further show that national income, education, population, financial development and institutional quality all raise insurance premiums, while inflation lowers insurance premiums.     

“The Future of Risk Classification in the Age of Predictive DNA-Based Testing”, Donald C. Chambers,January 1999

Abstract

The correlation among multiple lines of business plays an important role in quantifying the uncertainty of loss reserves for insurance portfolios. To accommodate correlation, most multivariate loss-reserving methods focus on the pairwise association between corresponding cells in multiple run-off triangles. However, such practice usually relies on the independence assumption across accident years and ignores the calendar year effects that could affect all open claims simultaneously and induce dependencies among loss triangles. To address this issue, we study a Bayesian log-normal model in the prediction of outstanding claims for dependent lines of business. In addition to the pairwise correlation, our method allows for an explicit examination of the correlation due to common calendar year effects. Further, different specifications of the calendar year trend are considered to reflect valuation actuaries’ prior knowledge of claim development. In a case study, we analyze an insurance portfolio of personal and commercial auto lines from a major U.S. property-casualty insurer. It is shown that the incorporation of calendar year effects improves model fit significantly, though it contributes substantively to the predictive variability. The availability of the realizations of predicted claims permits us to perform a retrospective test, which suggests that extra prediction uncertainty is indispensable in modern risk management practices.     

极端气候对商业银行风险承担的影响——来自中国地方性商业银行的经验证据

深化对气候相关金融风险的认识,对于促进绿色低碳发展,防范系统性金融风险具有重要意义。本文以2004—2018年期间281家中国地方性商业银行为样本,实证检验了极端气候对银行风险承担的影响及其机制。研究发现,极端强降水气候显著提升了银行风险承担,极端高温和极端低温气候对银行风险承担不存在明显影响。极端强降水主要通过给银行信贷主体带来经济损失,影响违约概率和银行信贷资产质量,进而影响银行风险承担水平;提高灾前的保险保障水平、强化碳减排机制以及确保银行资本的充足性均有利于弱化极端气候对银行风险承担的影响;相较于以地级和省会城市工商业和居民为主要服务对象的地方性商业银行,极端强降水对以“三农”为主要服务对象的县域地方性商业银行风险承担的影响更大。因此,提升商业银行应对极端气候风险意识,提高气候灾害保险保障水平,强化碳减排机制和银行资本充足管理,均有利于降低极端气候对银行风险的影响。     

Relative Risk Aversion as an Arc Elasticity

Risk aversion is the central reason why individuals purchase insurance and undertake other forms of risk management. But deriving the Pratt–Arrow coefficient of relative risk aversion from a utility function requires familiarity with differential calculus—a level of mathematics beyond the prerequisites for most introductory risk management courses. Thus, students are not exposed to one of the most important and fundamental concepts in the field unless and until they take more advanced courses. The present article demonstrates that relative risk aversion can be obtained as an arc elasticity using only elementary mathematics. This approach highlights the relationship between risk aversion and the demand for insurance, and integrates concepts from the principles of economics course, helping to unify the business curriculum. Numerical examples are easily computed and graphed using electronic spreadsheets, providing students with a hands-on learning experience. For sufficiently small risks, the arc elasticity measure reduces to the Pratt–Arrow coefficient, providing a platform for discussing the difference between large-scale and small-scale risk aversion in upper-level courses.     

Strategies for Dividend Distribution: A Review

Abstract

In today’s world of financial uncertainty, one major public concern is to assess (and possibly improve) the stability of companies that take on risks. Actuaries have been aware of that issue for a very long time and have a great experience in modeling the activity of a risk business. During the first part of the twentieth century, they focused on the probability of ruin to assess the stability of their company. In his seminal paper of 1957 Bruno de Finetti criticized this approach and laid the foundations of what would become an increasingly popular topic: the study of dividend strategies. The contributions made by actuaries in that field constitute a substantial body of knowledge, whose interest is relevant not only to insurance but also to a much broader range of areas of practice. In this paper we aim at a taxonomical synthesis of the 50 years of actuarial research that followed de Finetti’s original paper.     

The determinants of stock–bond return correlations

I study the options-implied market risks that affect US stock–bond correlations from 2007 to 2021. I discover that US stock and bond market uncertainty, stock market tail risk, and global credit-default risk are dominant contributors to changing stock–bond correlations during the global financial crisis (GFC) period. However, these market risks collectively contribute much less to time-varying correlations in the post-GFC period. Furthermore, stock–bond correlations rise in times of rising US and global bond market risks. Rising stock market uncertainty raises stock–bond correlations in the GFC period but lowers them in the post-GFC period. My results disentangle the risks of stock and bond markets and show that equity tail risk, bond market risk, and stock market uncertainty are dominant factors in changing stock–bond diversification benefits in periods of market turmoil.     

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.     

财政转移支付如何影响了地方政府债务?

本文以地方融资平台公司发行的城投债为样本,研究来自中央政府的财政转移支付对于地方城投债发行的影响。研究发现,来自中央政府的人均财政专项转移支付每增加1元,会导致地方融资平台公司城投债发行增加人均0.312元,而包括税收返还和一般性转移支付在内的非专项转移支付对城投债的发行并无显著影响。并且,专项转移支付对城投债发行的显著正影响只在中西部省份存在,东部地区并未发现这一机制。本文的进一步研究表明,地方政府债务的借新还旧现象也正在显现,并且变得越来越严重。     

Valuation portfolio in non-life insurance

The purpose of this paper is the construction of the Valuation Portfolio (VaPo) for a non-life insurance company. The VaPo represents the obligations of the insurer for the whole period of his insurance contracts. These obligations are not simply measured by a one-dimensional figure (as standard for reserves in practice), but are expressed as a portfolio of financial instruments. Hence, the actuarial reserves become multidimensional. The financial instruments in the VaPo are a properly chosen basis to represent the future cashflows resulting from the insurance contracts.

In this setup, financial and technical risks are clearly separated. The financial fluctuations derive from the basis elements, the technical fluctuations are covered by an increased number of basis elements (VaPo protected against technical risks). We show how this protection can be calculated in the case of a non-life insurance company.