基于Copula函数的保险公司经济资本配置研究

经济资本的度量及配置是风险管理的核心内容。本文利用Copula函数构建保险公司总体风险的联合分布函数,结合TCE方法来度量保险公司经济资本,并利用动态规划方法对经济资本最优配置模型求解。最后结合中国人民财产保险股份有限公司的数据进行实证。通过研究发现,我国财险公司内部偿付能力状况较好,但险种结构有待优化。     

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.     

我国巨灾风险管理模式的设计及其运作

商业化、事前补偿的巨灾保险是巨灾风险管理发展的趋势。我国应该逐步构建以政府为主导,涵盖政府、保险公司、再保险公司、资本市场和潜在受灾者五个主体的巨灾风险管理模式。在实际运作中,要考虑巨灾保险承保、保险公司巨灾风险转移和区分潜在客户等。     

QIS4 – Konzeption des europäischen Standardansatzes und Kapitalausstattung für Schaden-Unfallversicherer – Analyse und Beurteilung

The paper examines the updated requirements for risk based capital evaluation within the framework of the European Solvency??II project. The early results for the quantitative impact study QIS4 will be shown and feasible effects on the insurance industry will be derived. In contrast to the previous system, Solvency??II is based on a market value approach which gives incentives to insurance companies to improve their internal risk management and assessment procedures through the enforcement of riskadequate illustration of the overall risk position. Here probability distributions are calculated for each risk categories in the standard approach. For this reason a quantitative term is derived to assess the overall risk position of an insurer which arises from the aggregation of each single risk considering the diversification effect. The extent of uncertainty is predetermined by the legislator. For the acceptance of future arrangements it will be important to answer the question whether these approaches are manageable and adequate.     

Lessons from the Financial Crisis on Risk and Capital Management: The Case of Insurance Companies

This article proposes that risk management be viewed as an integral part of the corporate value‐creation process— one in which the concept of economic capital can provide companies with the financial cushion and confidence to carry out their strategic plans. Using the case of insurance and reinsurance companies, the authors discuss three main ways that the integration of risk and capital management creates value:

• 1 strengthening solvency (by limiting the probability of financial distress);
• 2 increasing prospects for profitable growth (by preserving access to capital during post‐loss periods); and
• 3 improving transparency (by increasing the “information content” or “signaling power” of reported earnings).

Insurers can manage solvency risk by using Enterprise Risk Management (ERM) models to limit the probability of financial distress to levels consistent with the firm's specified risk tolerance. While ERM models are effective in managing “known” risks, we discuss three practices widely used in the insurance industry to manage “unknown” and “unknowable” risks using the logic of real options—slack, mutualization, and incomplete contracts. Second, risk management can create value by securing sources of capital that, like contingent capital, can be used to fund profitable growth opportunities that tend to arise in periods following large losses. Finally, the authors argue that risk management can raise the confidence of investors in their estimates of future growth by removing the “noise” in earnings that comes from bearing non‐core risks, thereby making current earnings a more reliable guide to future earnings. In support of this possibility, the authors provide evidence showing that, for a given level of reported return on equity (ROE), (re)insurers with more stable ROEs have higher price‐to‐book ratios, suggesting investors' willingness to pay a premium for the stability provided by risk management.     

Risk Management: History,Definition, and Critique

The study of risk management began after World War II. Risk management has long been associated with the use of market insurance to protect individuals and companies from various losses associated with accidents. Other forms of risk management, alternatives to market insurance, surfaced during the 1950s when market insurance was perceived as very costly and incomplete for protection against pure risk. The use of derivatives as risk management instruments arose during the 1970s, and expanded rapidly during the 1980s, as companies intensified their financial risk management. International risk regulation began in the 1980s, and financial firms developed internal risk management models and capital calculation formulas to hedge against unanticipated risks and reduce regulatory capital. Concomitantly, governance of risk management became essential, integrated risk management was introduced, and the chief risk officer positions were created. Nonetheless, these regulations, governance rules, and risk management methods failed to prevent the financial crisis that began in 2007.     

International Insurance Society Roundtable on Risk Management After the Crisis

In this roundtable, an adviser to several central banks and founding member of the Group of 30 discusses regulatory reform and corporate risk management strategies with senior executives from three of the world's largest insurance companies. Much of the discussion attempts to explain why insurance and reinsurance companies have proven less vulnerable to the crisis than commercial and investment banks. Part of the explanation has to do with their financial conservatism, which is attributed to a habitual tendency to decision‐making that gives heavy weight to long‐term probabilities and risks. But along with this “actuarial” cast of mind is a growing willingness to accept and make use of risk‐based capital requirements—a decision‐making framework that is, in some respects, in conflict with the accounting and regulatory capital conventions that still prevail in the industry. In particular, “Solvency II”—the risk‐based capital guidelines that are set for adoption in 2012 by insurers in the European Union—is held up as a possible model for global use.     

我国财产保险公司承保业务线经济资本的度量

承保风险是保险公司面临的主要风险之一,合理地计量其经济资本有助于提高公司的资本管理能力。采用多元Copula理论对我国某财险公司主要业务线的相依结构进行建模,选择拟合较好的GaussCopula,在此基础上,使用凹扭曲风险度量测度主要业务线的经济资本。结果显示:凹扭曲风险度量中的Wang风险度量能够根据风险的整体水平灵活地调整所需的经济资本。     

Creating Customer Value in Participating Life Insurance

The value of a life insurance contract may differ depending on whether it is looked at from the customer's point of view or that of the insurance company. We assume that the insurer is able to replicate the life insurance contract's cash flows via assets traded on the capital market and can hence apply risk‐neutral valuation techniques. The policyholder, on the other hand, will take risk preferences and diversification opportunities into account when placing a value on that same contract. Customer value is represented by policyholder willingness to pay and depends on the contract parameters, that is, the guaranteed interest rate and the annual and terminal surplus participation rate. The aim of this article is to analyze and compare these two perspectives. In particular, we identify contract parameter combinations that—while keeping the contract value fixed for the insurer—maximize customer value. In addition, we derive explicit expressions for a selection of specific cases. Our results suggest that a customer segmentation in this sense, that is, based on the different ways customers evaluate life insurance contracts and embedded investment guarantees while ensuring fair values, is worthwhile for insurance companies as doing so can result in substantial increases in policyholder willingness to pay.     

Wertorientierte Performancemessung im Kompositversicherungsunternehmen

Changing conditions on insurance markets and capital markets involve stronger requirements on the management of insurance companies. Here, the concept of value based management can provide a framework for efficient and profitable corporate management. Central point in this methodology is the value of the company. Changing values over time show the reached performance. In the presented paper we develop a model to value the cashflows especially for a property-liability-insurance company and adopt the model for performance measurement. The study examines theoretical aspects on the one hand and near practical aspects with the special focus on an examplary implementation on the other hand.     

“偿二代”监管体系下寿险公司风险管理研究

随着经济发展进入新常态,已有的监管体系"偿一代"已无法适应当前以及未来寿险业风险管理的要求.2016年,以全面风险管理为导向的"偿二代"正式实施,给我国寿险公司的风险管理带来了深刻影响.为此,本文从负债端、资产端和公司风险管理三个方面分析"偿二代"对寿险公司风险管理的作用路径及影响.研究发现:在"偿二代"下寿险公司在负债端的风险管理重点应在于着力优化并调整产品结构,使得长期期缴业务成为核心;在资产端的风险管理重点应在于提升权益投资和另类投资比例;在公司的风险管理上应逐步加强完善风险管理框架,不断提高全面风险管理能力.     

Value Creation in the Insurance Industry

Using the insights of current research in corporate finance and financial institutions, the authors briefly present a consistent economic framework for looking at insurance. Shareholders of insurance companies provide risk capital that is invested in financial assets and therefore earns the market return of the assets it is invested in. However, due to the legal and fiscal environment insurance companies are in, they have a competitive disadvantage at investing, and this gives rise to frictional capital costs. The core competence of insurers is in managing the size of these frictional capital costs. Insurers must ensure that they can sell insurance for a price in excess of what they need to produce the cover they sell and compensate the incurred frictional costs on risk capital. It is through the ability to do so that insurers create shareholder value.     

Risk management using index-linked catastrophic loss instruments

One way for insurance companies to ensure against high losses due to catastrophic events is the purchase of index-based catastrophic loss instruments. The payoff of these instruments is strongly related to the development of an index, which implies that the degree and type of dependence between the insurer’s losses and the index is crucial for their hedging effectiveness. In addition, management strategies on the asset side play an important role for risk management. In this paper, effects of investment decisions and index-based risk transfer instruments on an insurer’s solvency capital requirements are investigated with special focus on the impact of the degree and type of dependence between relevant processes.     

Enterprise Risk Management and the Cost of Capital

Enterprise risk management (ERM) is a process that manages all risks in an integrated, holistic fashion by controlling and coordinating any offsetting risks across the enterprise. This research investigates whether the adoption of the ERM approach affects firms' cost of equity capital. We restrict our analysis to the U.S. insurance industry to control for unobservable differences in business models and risk exposures across industries. We simultaneously model firms' adoption of ERM and the effect of ERM on the cost of capital. We find that ERM adoption significantly reduces firm's cost of capital. Our results suggest that cost of capital benefits are one answer to the question how ERM can create value.     

中国上市公司营运资金管理调查:2007—2008

本项调查分行业考察了2007—2008年中国上市公司营运资金管理的状况和变化趋势,并用"经营活动营运资金周转期(按要素)"和"经营活动营运资金周转期(按渠道)"指标对上市公司营运资金管理绩效进行了排行。通过对比分析发现:在金融危机背景下,2/3行业的中国上市公司营运资金管理绩效在2008年度显著降低;2/3行业在至少两个渠道上的营运资金管理绩效同时降低;但也有三个行业(农林牧渔行业、金属非金属行业、交通运输及仓储业)的营运资金管理绩效不降反升,且三个渠道营运资金管理绩效同时提升。通过对典型企业的经营管理活动分析发现,渠道管理、供应链管理与营运资金管理相结合成为一种新的趋势,供应链融资、出口信用保险成为金融危机背景下企业改善营运资金管理的业务创新模式。     

Modeling Operational Risk With Bayesian Networks

Bayesian networks is an emerging tool for a wide range of risk management applications, one of which is the modeling of operational risk. This comes at a time when changes in the supervision of financial institutions have resulted in increased scrutiny on the risk management of banks and insurance companies, thus giving the industry an impetus to measure and manage operational risk. The more established methods for risk quantification are linear models such as time series models, econometric models, empirical actuarial models, and extreme value theory. Due to data limitations and complex interaction between operational risk variables, various nonlinear methods have been proposed, one of which is the focus of this article: Bayesian networks. Using an idealized example of a fictitious on line business, we construct a Bayesian network that models various risk factors and their combination into an overall loss distribution. Using this model, we show how established Bayesian network methodology can be applied to: (1) form posterior marginal distributions of variables based on evidence, (2) simulate scenarios, (3) update the parameters of the model using data, and (4) quantify in real‐time how well the model predictions compare to actual data. A specific example of Bayesian networks application to operational risk in an insurance setting is then suggested.     

Vergleich zweier Modelle zur Bewertung der Kapitalausstattung deutscher Lebensversicherungsunternehmen

The result of the comparison between the capital adequacy model published by the rating agency Standard & Poor’s (S&P) and the supervisory model of the German Insurance Association (GDV) points up the both models aim at measuring the German life insurers’ capital adequacy. The capital adequacy model is part of the Insurer Financial Strength Rating analyzing the financial security of insurance companies. The supervisory model is part of the recommandations by the GDV to reform the insurance control within the Solvency II project. Furthermore, the research includes the GDV’s proposal for the Solvency II standard model following the supervisory model as recommandation to the Solvency II project. The risk based capital computation’s analysis shows that the S&P model is more comprehensive on the assets and the supervisory model is more comprehensive on the liabilities. In addition, S&P differentiates in his model in a more quantitative way, the GDV in a more qualitative way. The standard model balances out the supervisory model’s lower number of quantitative differentiating factors.     

财产保险公司资产负债管理多维量化评估体系研究

良好的资产负债管理是保险业可持续发展的基石,也是支持保险业在日益复杂的风险环境中保持稳健发展、防范系统性风险的重要保障。近年来,随着我国金融市场发展,业务产品创新加快,保险业在资产端与负债端的业务结构和风险特征出现了新情况、新变化。特别是部分保险公司缺乏有效的治理结构,采取激进经营、激进投资的策略,导致业务快进快出、风险敞口过大以及流动性问题,对保险公司资产负债匹配管理、风险控制提出了挑战。本文介绍了财产保险公司资产负债多维度量化评估规则设计原理、主要评估模型和评估方法,针对财产保险公司的负债特性提出的沉淀资金匹配,在成本收益匹配中有机地将资产投资收益与承保业务综合成本进行匹配,在现金流匹配模式中打破了僵化的匹配模式,解决了长期困扰财产保险公司的资产负债期限不匹配的问题,对财产保险公司资产负债管理具有重要意义。     

The drivers and value of enterprise risk management: evidence from ERM ratings

In the course of recent regulatory developments, holistic enterprise-wide risk management (ERM) frameworks have become increasingly relevant for insurance companies. The aim of this paper is to contribute to the literature by analyzing determinants (firm characteristics) as well as the impact of ERM on the shareholder value of European insurers using the Standard & Poor’s ERM rating to identify ERM activities. This has not been done so far, even though it is of high relevance against the background of the introduction of Solvency II, which requires a holistic approach to risk management. Results show a significant positive impact of ERM on firm value for the case of European insurers. In particular, we find that insurers with a high quality risk management (RM) system exhibit a Tobin’s Q that on average is about 6.5% higher than for insurers with less high quality RM after controlling for covariates and endogeneity bias.