The Role of RBC,Hurricane Exposure,Bond Portfolio Duration,and Macroeconomic and Industry‐wide Factors in Property–Liability Insolvency Prediction

This research analyzes the performance of the risk‐based capital (RBC) ratio and other variables in predicting insolvencies in the property–liability insurance industry during the period 1994–2008. The results indicate that the accuracy of the RBC ratio in predicting insolvencies is inconsistent over time and that some previously tested financial ratios that are part of the FAST system do not always reliably predict insurer insolvency. In addition, the insolvency propensity is found to be significantly related to an insurer's hurricane prone area exposure, changes in interest rates, the industry‐wide combined ratio, and the industry‐wide Herfindahl index of premiums written.     

Market Risk,Interest Rate Risk,and Interdependencies in Insurer Stock Returns: A System‐GARCH Model

We examine market risk, interest rate risk, and interdependencies in returns and return volatilities across three insurer segments within a System‐GARCH framework. Three main results are obtained: market risk is greatest for accident and health (A&H) insurers, followed by life (Life) and property and casualty (P&C) insurers; interest rate sensitivity is negative and greatest for Life insurers; and interdependencies in returns are significant with the magnitude being strongest between P&C and A&H insurers. The implication is that greatest diversification benefits arise between Life and the other segments of the insurance industry. Market risk and interest rate risk for diversified firms are smaller than those for nondiversified firms for both product and geographic diversification.     

To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies

Demographic risk, i.e., the risk that life tables change in a nondeterministic way, is a serious threat to the financial stability of an insurance company having underwritten life insurance and annuity business. The inverse influence of changes in mortality laws on the market value of life insurance and annuity liabilities creates natural hedging opportunities. Within a realistically calibrated shareholder value (SHV) maximization framework, we analyze the implications of demographic risk on the optimal risk management mix (equity capital, asset allocation, and product policy) for a limited liability insurance company operating in a market with insolvency‐averse insurance buyers. Our results show that the utilization of natural hedging is optimal only if equity is scarce. Otherwise, hedging can even destroy SHV. A sensitivity analysis shows that a misspecification of demographic risk has severe consequences for both the insurer and the insured. This result highlights the importance of further research in the field of demographic risk.     

Funding conditions and insurance stock returns: Do insurance stocks really benefit from rising interest rate regimes?

We examine funding conditions and U.S. insurance company stock returns. Although constrained funding conditions, signaled by restrictive Federal Reserve monetary policy, correspond with increases in the future payouts of fixed‐income securities held by insurance firms and potentially provide value through the liability side of insurer balance sheets, they also decrease the values of securities currently held in insurer portfolios. Prior research finds that restrictive policy has a negative effect on equity returns in general. Our results suggest the negative impacts of constrained funding environments outweigh the potential positives, as insurance company stock returns are significantly lower during periods of constrained funding. This effect varies within a given funding state and also across insurer type. The effect is strongest during the first 3 months of a constrained funding environment and for life and health insurers—insurer types with longer portfolio durations. For property and liability (P&L) insurers, lower stock return performance only exists in the first 3 months of a constrained funding environment. In the subsequent months, P&L insurers actually have higher stock returns during constrained periods, consistent with their typically shorter duration asset portfolios, which are more quickly rolled over into new higher‐yielding securities.     

Binary interest rate sensitivities of emerging market corporate bonds

We develop a framework to assess interest rate sensitivities of emerging market corporate debt. Our analysis, based on yield indexes, is applied to investment grade and high yield portfolios. We reach beyond correlation-based analyses of interest rate sensitivity and keep our scope centered at capital gains of emerging market corporates and U.S. government bonds portfolios. Our empirical analysis spans over the period 2002–2015. We address interest rate sensitivity of assets during the ignition, apogee, and the aftermath of the global financial crisis. Based on historical data series, we evidence that the emerging market corporate bonds exhibit two different regimes of sensitivity to interest rate changes. We observe switching from a positive sensitivity under the normal market conditions to a negative one during distressed phases of business cycles and provide economical explanations of such phenomena. We show that emerging market corporate bonds, which on average could appear rather insensitive to the interest rate risk, in fact, present binary interest rate sensitivities. This research sheds light on how financial institutions may approach interest rate risk management including the downside risk hedge. Our findings allow banks and financial institutions to optimize economic capital under Basel III regulatory capital rules.     

Empirical Evidence on the Value of Group‐Level Financial Information in Insurer Solvency Surveillance

The existing empirical research on insurer insolvency relies almost exclusively upon individual insurance company financial data, even though the insurance industry is dominated by group‐affiliated firms. This is the first study to evaluate the benefit of using group‐level data to predict insurer insolvencies for group‐affiliated insurers. The study uses financial ratios from the NAIC FAST scoring system, measured at both the company level and group level, as potential predictor variables. The results indicate that group‐level financial information substantially improves the predictive power of an insolvency prediction model relative to a model that uses only the analogous company‐level variables. In fact, the group‐level variables are found to often be substantially more powerful than company‐level variables in predicting individual insurer insolvencies. These results suggest that future insolvency analysis should, whenever feasible, include group‐level information to obtain higher predictive accuracy.     

Sources of Capital Market Segmentation: Empirical Evidence from Finland

Because Finland has experienced profound economic changes and financial deregulation since the mid‐1980s, we use it as a laboratory to explore issues related to time‐varying global equity market integration. Using a Finnish perspective, we construct two different portfolios of Finnish firms and a conditional one‐factor international asset pricing model. We examine whether the segmentation varies over time and across assets. We use time‐series variables for changing market integration (lagged foreign equity ownership, difference between Finnish and German short‐term interest rates, and a portfolio‐specific liquidity measure) and crosssectional variables (size and book‐to‐market ratios and industry sector) to show variation in integration.     

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.     

“Analysis of Incremental Returns of Canadian Mutual Funds”, J. F. Carrière; C. F. Hill,April 2001

Abstract

The determination and allocation of economic capital is important for pricing, risk management, and related insurer financial decision making. This paper considers the allocation of economic capital to lines of business in insurance. We show how to derive closed-form results for the complete markets, arbitrage-free allocation of the insurer default option value, or insolvency exchange option, to lines of business for an insurer balance sheet. We assume that individual lines of business and the surplus ratio are joint log-normal although the method we adopt allows other assumptions. The allocation of the default option value is required for fair pricing in the multiline insurer. We discuss and illustrate other methods of capital allocation, including Myers-Read, and give numerical examples for the capital allocation of the default option value based on explicit payoffs by line.     

Are female CEOs associated with lower insolvency risk? Evidence from the US property-casualty insurance industry

This paper investigates the relationship between female CEOs and insolvency risk of US property-casualty insurance companies. We show that female CEOs are associated with lower insurer insolvency propensity, higher z-score, and lower standard deviation of return on assets. These findings are robust to alternative econometric specifications to address potential endogeneity concerns and self-selection issues, including propensity score matching, the instrumental variable approach, and the difference-in-difference approach. Furthermore, we find that the impact of female CEOs on insurer insolvency risk is moderated by firm capitalization, the presence of female directors, and political conservatism of insurers' home states.     

Consumption, Dividends, and the Cross Section of Equity Returns

We show that aggregate consumption risks embodied in cash flows can account for the puzzling differences in risk premia across book‐to‐market, momentum, and size‐sorted portfolios. The dynamics of aggregate consumption and cash flow growth rates, modeled as a vector autoregression, are used to measure the consumption beta of discounted cash flows. Differences in these cash flow betas account for more than 60% of the cross‐sectional variation in risk premia. The market price for risk in cash flows is highly significant. We argue that cash flow risk is important for interpreting differences in risk compensation across assets.     

THE ROBUSTNESS OF ABNORMAL RETURNS FROM THE EARNINGS YIELD CONTRARIAN INVESTMENT STRATEGY

We examine the sensitivity of the abnormal profitability of the earnings' yield (E/P)‐based contrarian investment strategy to the following two risk measurement issues: (a) return‐measurement interval over which systematic risk is estimated and (b) time variation in systematic risk. We conduct our analysis using the capital asset pricing model to parameterize risk. We find that the estimates of systematic risk of E/P‐ranked portfolios are not sensitive to the return‐measurement interval. Consequently the abnormal profits to the E/P‐based contrarian investment strategy observed in prior studies are not artifacts of the return‐measurement interval. Furthermore, although both the raw and abnormal returns to E/P‐ranked portfolios exhibit mean reversion, time variation in systematic risk ensuing from this mean‐reverting behavior does not substantially affect abnormal profits to E/P‐ranked portfolios. JEL classification: G11, G12, G14     

Insurance Market Effects of Risk Management Metrics

We extend the classical analysis on optimal insurance design to the case when the insurer implements regulatory requirements (Value-at-Risk). Presumably, regulators impose some risk management requirement such as VaR to reduce the insurers’ insolvency risk, as well as to improve the insurance market stability. We show that VaR requirements may better protect the insured and improve economic efficiency, but have stringent negative effects on the insurance market. Our analysis reveals that the insured are better protected in the event of greater loss irrespective of the optimal design from either the insured or the insurer perspective. However, in the presence of the VaR requirement on the insurer, the insurer's insolvency risk might be increased and there are moral hazard issues in the insurance market because the optimal contract is discontinuous.     

REIT Characteristics and the Sensitivity of REIT Returns

Previous research on the returns to real estate investment trusts (REITs) has considered whether REITs are systematically exposed to general stock-market risk and interest-rate risk. This study examines how the sensitivity of REIT returns to these factors may be influenced by various REIT characteristics. Using a sample of publicly traded REITs, we estimate the sensitivity of REIT returns to stock market and interest-rate changes. We then propose and implement a model for testing whether differences in asset structure, financial leverage, management strategy, and degree of specialization in the REIT portfolios are related to their sensitivity to interest rate and market risk. Our results permit us to offer some inferences about how REITs can alter their risk exposure by managing these characteristics.     

The Simple Analytics of a Pooled Annuity Fund

This article provides a formal analysis of payout adjustments from a longevity risk‐pooling fund, an arrangement we refer to as group self‐annuitization (GSA). The distinguishing risk diffusion characteristic of GSAs in the family of longevity insurance instruments is that the annuitants bear their systematic risk, but the pool shares idiosyncratic risk. This obviates the need for an insurance company, although such instruments could be sold through a corporate insurer. We begin by deriving the payout adjustment for a single entry group with a single annuity factor and constant expectations. We then show that under weak requirements a unique solution to payout paths exists when multiple cohorts combine into a single pool. This relies on the harmonic mean of the ratio of realized to expected survivorship rates across cohorts. The case of evolving expectations is also analyzed. In all cases, we demonstrate that the periodic‐benefit payment in a pooled annuity fund is determined based on the previous payment adjusted for any deviations in mortality and interest from expectations. GSA may have considerable appeal in countries which have adopted national defined contribution schemes and/or in which the life insurance industry is noncompetitive or poorly developed.     

Evaluating the risk of life insurer insolvency: implications from the US for the European Union

Insolvencies of life insurers in Europe have been virtually nonexistent. The deregulation of European markets, however, is likely to dramatically alter that situation. The goal of this study is two-fold: first, to identify significant variables in the early detection of financially distressed life insurers; and second, to consider the importance of these variables to the evaluation of life insurer insolvency risk in the European Union (EU). The availability of a data sample approaching the universe of insurers in the US allows us to stratify a large sample in order to make reasonable inferences regarding the factors likely to influence insolvency experience in the EU. The most significant findings for EU consumers, regulators, and insurers relate to the importance of capital and surplus, geographic focus, asset mix, and leverage in determining the likelihood of insurer bankruptcy.     

Carry Trades and Global Foreign Exchange Volatility

We investigate the relation between global foreign exchange (FX) volatility risk and the cross section of excess returns arising from popular strategies that borrow in low interest rate currencies and invest in high interest rate currencies, so‐called “carry trades.” We find that high interest rate currencies are negatively related to innovations in global FX volatility, and thus deliver low returns in times of unexpected high volatility, when low interest rate currencies provide a hedge by yielding positive returns. Furthermore, we show that volatility risk dominates liquidity risk and our volatility risk proxy also performs well for pricing returns of other portfolios.     

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.     

Parameter risk in time-series mortality forecasts

The projection of mortality rates is an essential part of valuing liabilities in life insurance portfolios and pension schemes. An important tool for risk management and solvency purposes is a stochastic projection model. We show that ARIMA models can be better representations of mortality time-series than simple random-walk models. We also consider the issue of parameter risk in time-series models from the point of view of an insurer using them for regulatory risk reporting – formulae are given for decomposing overall risk into undiversifiable trend risk (parameter uncertainty) and diversifiable volatility. Particular attention is given to the contrasts in how academic researchers might view these models and how insurance regulators and practitioners in life offices might use them. Using a bootstrap method we find that, while certain kinds of parameter risk are negligible, others are too material to ignore. We also find that an objective model selection criterion, such as goodness of fit to past data, can result in the selection of a model with unstable parameter values. While this aspect of the model is superficially undesirable, it also leads to slightly higher capital requirements and thus makes the model of keen interest to regulators. Our conclusions have relevance to insurers using value-at-risk capital assessments in the European Union under Solvency II, but also territories using conditional tail expectations such as Australia, Canada and Switzerland.     

Does Risk Management Add Value? A Survey of the Evidence

The fact that 92% of the world's 500 largest companies recently reported using derivatives suggests that corporate managers believe financial risk management can increase shareholder value. Surveys of finance academics indicate that they too believe that corporate risk management is, on the whole, a valueadding activity. This article provides an overview of almost 30 years of broadbased, stock‐market‐oriented academic studies that address one or more of the following questions:

• ? Are interest rate, exchange rate, and commodity price risks reflected in stock price movements?
• ? Is volatility in corporate earnings and cash flows related in a systematic way to corporate market values?
• ? Is the corporate use of derivatives associated with reduced risk and higher market values?

The answer to the first question, at least in the case of financial institutions and interest rate risk, is a definite yes; all studies with this focus find that the stock returns of financial firms are clearly sensitive to interest rate changes. The stock returns of industrial companies exhibit no pronounced interest rate exposure (at least as a group), but industrial firms with significant cross‐border revenues and costs show considerable sensitivity to exchange rates (although such sensitivity actually appears to be reduced by the size and geographical diversity of the largest multinationals). What's more, the corporate use of derivatives to hedge interest rate and currency exposures appears to be associated with lower sensitivity of stock returns to interest rate and FX changes. But does the resulting reduction in price sensitivity affect value—and, if so, how? Consistent with a widely cited theory that risk management increases value by limiting the corporate “underinvestment problem,” a number of studies show a correlation between lower cash flow volatility and higher corporate investment and market values. The article also cites a small but growing group of studies that show a strong positive association between derivatives use and stock price performance (typically measured using price‐to‐book ratios). But perhaps the nearest the research comes to establishing causality are two studies—one of companies that hedge FX exposures and another of airlines' hedging of fuel costs—that show that, in industries where hedging with derivatives is common, companies that hedge outperform companies that don't.