The Effective Duration and Convexity of Liabilities for Property-Liability Insurers Under Stochastic Interest Rates

Managing interest rate risk for property-liability insurers requires appropriate measurement of the sensitivity of liabilities to movements in interest rates. Most prior studies have assumed that interest rates shift in a parallel fashion and that the cash flows from liabilities are unaffected by interest rate changes. This article recognizes that unpaid property-liability (P-L) insurance losses are inflation-sensitive, that movements in interest rates will affect future claim payouts due to the correlation between interest rates and inflation and that interest rates are stochastic. The effective duration and convexity of P-L insurance liabilities calculated based on this approach are substantially lower than those measured using traditional approaches, which has important implications for asset-liability management by P-L insurers.     

Efficiency and Demutualization: Evidence From the U.S. Life Insurance Industry in the 1980s and 1990s

This article examines the efficiency changes of U.S. life insurers before and after demutualization in the 1980s and 1990s. We use two frontier approaches (the value‐added approach and the financial intermediary approach) to measure the efficiency changes. In addition, we use Malmquist indices to investigate the efficiency and productivity change of converted life insurers over time. The results using the value‐added approach indicate that demutualized life insurers improve their efficiency before demutualization. On the other hand, the evidence using the financial intermediary approach shows the efficiency of the demutualized life insurers relative to mutual control insurers deteriorates before demutualization and improves after conversion. The difference in the results between the two approaches is due to the fact that the financial intermediary approach considers financial conditions. The results of both approaches suggest that there is no efficiency improvement after demutualization relative to stock control insurers. There is, however, efficiency improvement relative to mutual control insurers when the financial intermediary approach is used.     

Conversion and Efficiency Performance Changes: Evidence from the U.S. Property-Liability Insurance Industry

This study investigates whether the conversion of U.S. property-liability insurers improves their efficiency performance before and after the conversion. We estimate relative efficiency of converting insurers and control insurers using data envelopment analysis. The Malmquist analysis is also used to measure changes in efficiency pre- and post-conversion. The evidence shows that converting insurers experience larger gains in cost efficiency and total productivity change than mutual control insurers before conversion. In addition, the empirical results indicate that converting insurers improve efficiency after conversion. These results are robust with respect to both the value-added and the financial intermediary approaches. The overall results support the efficiency hypothesis proposed by Mayers and Smith (1986).     

Mergers &; Acquisitions,Diversification and Performance in the U.S. Property-Liability Insurance Industry

This paper examines the relationship between mergers & acquisitions (M & As), diversification and financial performance in the U.S. property-liability insurance industry over the period 1989–2004. The risk-adjusted return on assets (ROA), return on equity (ROE), Z-score and total risk measured by earnings volatility are considered as a relevant indicator of performance. We find that acquirers’ financial performance decreases and earnings volatility increases during the gestation period after the M & As perhaps due to increased frictional costs associated with post-merger integration and agency problems. We find that more focused insurers outperform the product-diversified insurers, implying that the costs of diversification outweigh the benefits. These findings are robust to alternative risk and diversification measures. We also find that marginal increases in commercial line share are associated with higher risk-adjusted profits, but these gains are offset by the extra costs from product diversity when its initial share is low. For insurers initially concentrated in commercial line, a marginal increase in commercial line share is related to higher performance due to positive effects of both direct exposure and indirect focus.     

The Determinants of Financial Derivatives Use in the United Kingdom Life Insurance Industry

This paper examines the determinants of financial derivatives use in the United Kingdom life insurance industry. We estimate a probit regression model and a Heckman two-stage sample selection regression model using a sample of eighty-eight U.K. life insurers in 1995. Our results indicate that the propensity to use derivative instruments is positively related to a firm's size, leverage and international links, and negatively related to the extent of reinsurance. We also find that mutual life insurance firms have a greater propensity than stock firms to use derivatives. The positive relation with leverage and the negative relation with reinsurance support the hypothesis that U.K. life insurers use derivatives to offset risk, rather than as a speculative means of income generation. Firm size and organizational form are the main influences on the extent of financial derivatives use.     

Considerations of cost trade-offs in insurance solvency surveillance policy

We propose a process for identifying potentially insolvent insurers on a cost-effective basis. A loss cost function is developed such that the effectiveness of monitoring is maximized relative to a cost constraint. The loss cost function is supported by a model that provides a rank ordering of financial institutions according to their probability of insolvency. When tested against a full sample of property-liability insurance companies , the procedure provides information critical to maximizing the effectiveness of regulatory resources available for solvency surveillance and performs well as a predictor of insolvency. Likewise, the rank ordering of insurers overcomes an estimation problem critical to establishing risk-adjusted guaranty assessments.     

New Risk-Based Capital Standards in the European Union: A Proposal Based on Empirical Data

In response to criticism concerning the current solvency system, the European Commission is developing new rules for insurance companies operating in the member states of the European Union (EU). Under this so-called Solvency II concept, an insurer is allowed to verify its solvency by using an internal risk management model previously approved by the regulatory authority. In this article we develop such an internal risk management approach for property-liability insurers that is based on dynamic financial analysis (DFA). The proposed concept uses a simulation technique and models the central risk factors from the investment and underwriting areas of an insurance company. On the basis of the data provided by a German insurer, the ruin probabilities under different scenarios and varying planning horizons are calculated.     

The Relative Cost Efficiency of Stock versus Mutual Thrifts: A Bayesian Approach

The relative cost efficiency of the mutual versus stock forms of ownership for thrifts has been a relevant issue in an era of deregulation and competition in the financial services industry. In this study, Bayesian‐based Markov chain Monte Carlo (MCMC) resampling methods are used to solve a stochastic cost frontier model and effectively determine cost efficiencies for the stock and mutual thrift groups. We find a statistically significant difference between both the cost frontiers and the cost efficiencies of the two groups, with the stock group operating at the lower‐cost point. Agency problems explain a significant portion of the cost efficiency difference. Capital structure differences, though not helping to explain differences in cost efficiency, do help to explain differences in cost structure and managerial attitudes toward risk.     

An Efficiency-Based Approach to Determining Potential Cost Savings and Profit Targets for Health Insurers: The Case of Obamacare Health Insurance CO-OPs

This research analyzes the performance of the health insurance consumer-operated and -oriented plan (CO-OPs), examines their medical services and operating efficiency, proposes an efficiency-based goal-oriented approach for cost reductions, profit targets, premium changes, and government subsidies, and provides an important guide for improvement potentials for both the CO-OP health insurance model and other health insurers. The CO-OPs are not satisfactory in the medical services efficiency, and they are much less efficient compared with other insurers. Potential cost reductions are significant using various (conservative) efficiency goals. Most CO-OPs suffer underwriting losses, as do many other insurers; a few CO-OPs are much more operating efficient than other insurers, but all CO-OPs need significant improvement of financial performance relative to benchmark insurers. Incorporating potential cost reductions, many CO-OPs would barely require any “premium changes and government subsidies,” and they are even capable of paying back the federal loans. With both potential cost reductions and premium increases, more CO-OPs would not need any help from the government but survive on their own. This research informs public debates and all stakeholders (including management, consumers, regulators, policymakers) of improvement potentials to be considered for related decision making besides other factors including the political environment and government policies.     

Corporate Hedging in the Insurance Industry

Abstract

In this paper we investigate the extent to which insurance companies utilize financial derivatives contracts in the management of risks The data set we employ allows us to observe the universe of individual insurer transactions for a class of contracts, namely, those normally thought of as off-balance-sheet (OBS) We provide information on the number of insurers using various types of derivatives contracts and the volume of transactions in terms of notional amounts and the number of counterparties. Life insurers are most active in interest rate and foreign exchange derivatives, while property/casualty insurers tend to be active in trading equity option and foreign exchange contracts Using a multivariate probtt analysis, we explore the factors that potentially influence the existence of OBS activities. We also investigate questions relating to whether certain subsets of OBS transactions (for example, exchange traded) are related to such things as interest rate risk measures, organizational form and other characteristics that may discriminate between desired risk/return profiles across a cross-section of insurers. We find evidence consistent with the use of derivatives by insurers to hedge risks posed by guaranteed investment contracts (GICs), coilater-alized mortgage obligations (CMOs), and other sources of financial risk     

Economies of scope in financial services: A DEA efficiency analysis of the US insurance industry

This paper investigates economies of scope in the US insurance industry over the period 1993–2006. We test the conglomeration hypothesis, which holds that firms can optimize by diversifying across businesses, versus the strategic focus hypothesis, which holds that firms optimize by focusing on core businesses. We analyze whether it is advantageous for insurers to offer both life-health and property-liability insurance or to specialize in one major industry segment. We estimate cost, revenue, and profit efficiency utilizing data envelopment analysis (DEA) and test for scope economies by regressing efficiency scores on control variables and an indicator for strategic focus. Property-liability insurers realize cost scope economies, but they are more than offset by revenue scope diseconomies. Life-health insurers realize both cost and revenue scope diseconomies. Hence, strategic focus is superior to conglomeration in the insurance industry.     

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.     

Determinanten der Liquidität in der deutschen Schaden- und Unfallversicherungsindustrie: Bedeutung,Erklärungskraft und Auswirkung der Finanzkrise

The aim of this paper is to analyze the corporate liquidity and its determinants for the German property-liability insurance industry using company-level data for the period 2002–2014. We first investigate the differences in cash holdings across insurers. We then quantify the relative importance of firm-level determinants compared with macroeconomic determinants in explaining insurers’ cash holding choices. In addition, we examine whether the financial crisis of 2008 has an impact on the liquidity situation of insurers. Our results indicate that cash holdings vary significantly across German property-liability insurers. The firm-level determinants size, group affiliation and reinsurance utilization explain more than 50% of the variation. We also find that macroeconomic conditions appear to have negligible effects on the liquidity situation of insurers. In addition, we do not find evidence that the liquidity of German property-liability insurers is influenced by the financial crisis of 2008. The proportion of cash remains relatively stable at 6% of the total assets.     

Mergers and acquisitions in the US property-liability insurance industry: Productivity and efficiency effects

This paper analyzes the productivity and efficiency effects of mergers and acquisitions (M&As) in the US property-liability insurance industry during the period 1994–2003 using data envelopment analysis (DEA) and Malmquist productivity indices. We seek to determine whether M&As are value-enhancing, value-neutral, or value-reducing. The analysis examines efficiency and productivity change for acquirers, acquisition targets, and non-M&A firms. We also examine the firm characteristics associated with becoming an acquirer or target through probit analysis. The results provide evidence that M&As in property-liability insurance were value-enhancing. Acquiring firms achieved more revenue efficiency gains than non-acquiring firms, and target firms experienced greater cost and allocative efficiency growth than non-targets. Factors other than efficiency enhancement are important factors in property-liability insurer M&As. Financially vulnerable insurers are significantly more likely to become acquisition targets, consistent with corporate control theory, and we also find evidence that M&As are motivated to achieve diversification. However, there is no evidence that scale economies played an important role in the insurance M&A wave.     

Efficiency in the international insurance industry: A cross-country comparison

The purpose of this paper is to provide new empirical evidence on frontier efficiency measurement in the international insurance industry, a topic of great interest in the academic literature during the last several years. A broad efficiency comparison of 6462 insurers from 36 countries is conducted. Different methodologies, countries, organizational forms, and company sizes are compared, considering life and non-life insurers. We find a steady technical and cost efficiency growth in international insurance markets from 2002 to 2006, with large differences across countries. Denmark and Japan have the highest average efficiency, whereas the Philippines is the least efficient. Regarding organizational form, the results are not consistent with the expense preference hypothesis, which claims that mutuals should be less efficient than stocks due to higher agency costs. Only minor variations are found when comparing different frontier efficiency methodologies (data envelopment analysis, stochastic frontier analysis).     

Cost efficiency of international insurance firms

This article examines the cost efficiency of insurance firms located in 11 countries over a five-year period, 1988–1992. Two X-inefficiency measures are derived, one from the stochastic cost frontier model and the other from the distribution-free model. The results show that X-inefficiencies not only vary by country but by size and specialization. Firms in Finland and France have the lowest X-inefficiency, while firms in the United Kingdom have the highest. On average, small firms are more cost efficient than large firms worldwide. Firms grouped into those offering single or specialized services also operate more cost efficiently than those offering a combination of life and nonlife services (combined firms). The results also indicate that the X-inefficiency estimates derived from the stochastic cost frontier model are more suitable for this sample of data than those derived from the distribution-free model.     

Market structure and the efficiency of European insurance companies: A stochastic frontier analysis

This paper is motivated by the progressive liberalisation of the European insurance market in recent years. It uses stochastic frontier analysis to estimate Flexible Fourier cost functions for European insurance companies. Separate frontiers are estimated for life, non-life and composite companies. We adopt a maximum likelihood approach to estimation in which the variance of both one-sided and two-sided error terms is modelled jointly with the frontiers. This approach allows us to simultaneously control for the impact of heteroskedasticity on the estimation of scale economies as well as estimating the effect of firm size and market structure on X-inefficiency. The study draws on Standard & Poor’s Eurothesys data set of financial reports for the period 1995 to 2001. This provides technical and non-technical accounts at year-end for life, non-life and composite insurance businesses in 14 major European countries. Our estimates suggest that over this period most European insurers were operating under conditions of decreasing costs (increasing returns to scale), and that company size and domestic market share were significant factors determining X-inefficiency. Larger firms, and those with high market shares, tend to have higher levels of cost inefficiency.     

Estimating the Cost of Equity for Property-Liability Insurance Companies

Due to the highly skewed and heavy‐tailed distributions associated with the insurance claims process, we evaluate the Rubinstein‐Leland (RL) model for its ability to improve the cost of equity estimates of insurance companies because of its distribution‐free feature. Our analyses show that there is as large as a 94‐basis‐point difference in the estimated cost of insurance equity between the RL model and the capital asset pricing model (CAPM) for the sample of property‐liability insurers with more severe departures from normality. In addition, consistent with our hypotheses, significant differences in the market risk estimates are found for insurers with return distributions that are asymmetrically distributed, and for small insurers. Third, we find significant performance improvements from using the RL model by showing smaller values of excess return of the expected return of the portfolio to the model return for a portfolio of insurers with returns that are more skewed and for a portfolio of small insurers. Finally, our panel data analysis shows the differences in the market risk estimates are significantly influenced by firm size, degree of leverage, and degree of asymmetry. The implication is that insurers should use the RL model rather than the CAPM to estimate its cost of capital if the insurer is small (assets size is less than $2,291 million), and/or its returns are not symmetrical (the value of skewness is greater than 0.509 or less than ?0.509).     

Analysis of Systemic Risk in the Insurance Industry

In this paper, we discuss the systemic relevance of the insurance sector. Systemic risk is defined as the propensity of a financial institution to be undercapitalised when the financial system as a whole is undercapitalised. By the law of large numbers, traditional lines of insurance with idiosyncratic non-catastrophic risks cannot be systemic. On the contrary, undiversified insurers specialised in activities whose insured risks are highly correlated with GDP are systemic. In the life insurance sector, some contractual clauses such as unhedged minimum guarantees and free options to surrender raise the chance of systemic relevance. On the contrary, life insurers satisfying the classic solvency capital requirements contribute to the liquidity of financial markets thanks to the long-termist approach of their portfolio management. Finally, using historical data in the U.S. on the contribution of different sectors to the aggregate volatility of the economy, we show that investment banking is almost twice as volatile as aggregate GDP, while insurance is one fifth as volatile as aggregate GDP. The insurance sector thus appears to be a stabilising force of the economy.     

Fuzzy Financial Pricing of Property-Liability Insurance

Abstract

This paper uses fuzzy set theory (FST) to solve a problem in actuarial science, the financial pricing of property-liability insurance contracts. The fundamental concept of FST is the alternative formalization of membership in a set to include the degree or strength of membership. FST provides consistent mathematical rules for incorporating vague, subjective, or judgmental information into complex decision processes. It is potentially important in insurance pricing because much of the information about cash flows, future economic conditions, risk premiums, and other factors affecting the pricing decision is subjective and thus difficult to quantify by using conventional methods. To illustrate the use of FST, we “fuzzify” a well-known insurance financial pricing model, provide numerical examples of fuzzy pricing, and propose rules for project decision-making using FST. The results indicate that FST can lead to significantly different decisions than the conventional approach.