Loss Reserves and the Employment Status of the Appointed Actuary

Abstract

Property/casualty (P/C) insurers are required to establish loss reserves for unpaid losses at the time that the loss has occurred or is reasonably expected to have occurred. We examine factors that may impact the accurate setting of loss reserves. These include the level of rate regulation faced by the insurer and the incentives to underestimate or overestimate reserves to improve financial ratios or improve solvency scores, to reduce earnings, to defer taxes, or to smooth earnings volatility in order to meet shareholder expectations. The employment status of the Appointed Actuary, that is, whether the Appointed Actuary is an employee of the firm or a consultant, may also impact reserve accuracy. Using a variety of regression models with data from 1995 to 2010, we examine the impact of these factors on the accuracy of reserves posted by Canadian P/C insurers. Our results provide no evidence of systematic differences in the magnitude or direction of loss reserve errors between insurers that use company actuaries versus those that use consultant actuaries. However, we find that for both consultant and company actuaries positive reserve errors are associated with increases in global stock market returns and decreases in unanticipated inflation. The insurance market cycle impacts reserve errors for company actuaries and not consultant actuaries. As well, our results indicate that as the proportion of short-tailed business increases in a company, consultant actuaries are more likely to over-reserve. Similar to many previous studies using U.S. data, we do not find strong evidence regarding insurers’ incentives to deliberately overstate or understate reserves: Loss reserves are relatively unbiased estimates of the true losses paid. Thus these findings should be welcome news to the actuarial profession in Canada and to the prudential regulator: The Appointed Actuary, regardless of employment status, provides objective and unbiased estimates of insurers’ largest liability.     

Political Cost Incentives for Managing the Property-Liability Insurer Loss Reserve

This paper examines the effect of rate regulation on the management of the property-liability insurer loss reserve. The political cost hypothesis predicts that managers make accounting choices to reduce wealth transfers resulting from the regulatory process. Managers may under-state reserves to justify lower rates to regulators. Alternatively, managers may have an incentive to report loss inflating discretionary reserves to reduce the cost of regulatory rate suppression. We find insurers over-state reserves in the presence of stringent rate regulation. Investigating the impact along the conditional reserve error distribution, we discover that a majority of the response occurs from under-reserving firms under-reserving less because of stringent rate regulation.     

Do Stock Prices of Property Casualty Insurers Fully Reflect Information about Earnings,Accruals, Cash Flows,and Development?

This paper examines whether the stock prices of property and casualty (P&C) insurers fully reflect information contained in earnings, cash flows and accruals, and one particular accrual—development of loss reserves. The reserve for policy losses is a major accrual for P&C firms, requires substantial judgment and is the subject of unique disclosures that reveal the ex post error in management estimates. We find that investors underestimate the persistence of cash flows and overestimate the persistence of accruals for P&C insurers, but our evidence suggests the market does not underestimate the persistence of the development accrual.     

Leverage and reinsurance effects on loss reserves in the United Kingdom’s property–casualty insurance industry

We examine the relation between loss reserving errors, leverage and reinsurance in the UK’s property–casualty insurance industry. We find that financially weak insurers under-estimate reserves to reduce leverage, and so pre-empt costly regulatory scrutiny. However, at very high leverage, insurers over-reserve, suggesting a non-linear relation between leverage and reserving policy. We also investigate whether monitoring by reinsurers reduces reserving errors, and find that highly reinsured insurers are less likely to make loss reserve errors. However, the use of proportional reinsurance does not affect loss reserve accuracy.     

Forestalling capital regulation or masking financial weakness? Evidence from loss reserve management in the property–liability insurance industry

This study examines the extent to which capital thresholds induce insurers to strategically exert accounting discretion to forestall regulatory actions. Using a sample of US property–liability insurers during 1994–2009, we find that when managing their claim loss reserves, the average insurers are insensitive to the pressure of capital regulation as measured by the distance of their RBC ratio to the action threshold. Yet, when the insurers are virtually partitioned by their reserving tendency, the effect of regulatory pressure is significantly related to the downward reserve bias in the under-reserving insurer cohorts. This finding continues to hold even after we utilize the number of ratio violations in the insurance regulatory information systems to purge the financial weakness effect embedded in the distance to RBC bound ratio. Hence, our empirical evidence suggests that insurers that are about to trigger the regulatory threshold will have the incentives to understate their loss reserves to preclude the impending authorized preventive actions. Finally, our analyses also shed light on the heterogeneity of incentives to managing loss reserves among over- and under-reserving insurers.     

The Characteristics and Valuation of Loss Reserves of Property Casualty Insurers

This study examines characteristics and valuation of claim loss reserves of property casualty insurers. Using SEC disclosures of revisions (development) in loss reserve estimates, we document substantial serial correlation in loss reserve development, indicating that reported loss reserves do not fully reflect available information, consistent with management exercising discretion over reported loss reserves. We find that loss reserve development reported one year after the balance sheet date has significant explanatory power for firm value incremental to book value of equity and earnings, suggesting investors at least partially identify management's influence on reported loss reserves, and adjust firm values accordingly.     

The Association between External Monitoring and Earnings Management in the Property-Casualty Insurance Industry

This paper examines the association between external monitoring and earnings management by property-casualty insurers. We extend previous work by Petroni and Beasley (1996) by expanding the set of external monitors to include both auditors and actuaries. We investigate whether certain auditor-actuary pairs are associated with less understatement of the loss reserve account by financially struggling insurers. Our data consist of loss adjustments reported by 465 property-casualty insurers for reserves established in 1993. The results indicate that under-reserving by weak insurers is essentially eliminated when the firm uses auditors and actuaries that are both from Big Six accounting firms. In contrast, non-Big Six actuaries have less impact on under-reserving by weak insurers. Our results suggest that the quality usually associated with Big Six auditors falls when the audit firm relies on third party actuaries to evaluate the loss reserve estimates of struggling insurance clients. We conjecture that Big Six actuaries insist on more conservative loss reserve levels because, compared to actuarial consulting firms, they are more attuned to the liability exposure of the auditor.     

The Distributions of Policy Reserves Considering the Policy-Year Structures of Surrender Rates and Expense Ratios

In this article, we examine how the policy-year structures of expense ratios and surrender rates affect the distributions of policy reserves. Our results show that a convex expense ratio curve, though reduces the mean and the uncertainty of reserves, could make the beneficial impact of surrenders on insurers become detrimental. Our results also show that the convexity of the surrender rate curve is favorable to insurers while the volatilities of surrender rates are unfavorable. We further find that neglecting the policy-year structures of surrender rates and expense ratios may result in overestimation of the mean and the uncertainty of reserves.     

The impact of monitor choice on insurer loss reserves

This paper examines the association between monitoring and earnings management by property-casualty insurers. Prior literature has evaluated the impact of auditors and actuaries on insurer reserving. We extend this work by considering the nonrandom nature of monitor assignment. We model the insurer decisions regarding choice of auditor and actuary jointly using a Heckman selection model. Consistent with prior literature, we account for potential loss reserving incentives that may confound these decisions. We find that the use of internal actuaries is significantly related to higher reserve errors, but this is reduced, but not fully offset, when the internal actuary is an officer of the insurer. We find lower reserve error for auditors from a Big N firm. However, the use of an auditor and actuary from the same Big N firm is significantly related to higher reserve errors.     

The Impact of Asbestos and Environmental Reserves Increases on Shareholder Wealth

Abstract

Between 1992 and 2001 significant reserves increase announcements were made by several major property/liability insurers. These reserves increases were for the purpose of recognizing expected asbestos and environmental (A&E) liability. Although most analysts agree that U.S. insurers are underreserved for asbestos and environmental liability, how the market reacts to an insurer’s announcement of an increase in these reserves has not been analyzed. An insurer that is significantly underreserved is likely to be viewed by the market as lacking financial stability for the long term. However, when a company increases its reserves, there is a charge to income and a reduction in capital. If surplus is diminished sufficiently as a result of the increased reserving, regulatory attention and eroding shareholder and market confidence could result as well. By calculating the sample insurers’ cumulative abnormal returns surrounding the largest asbestos and environmental reserves increase announcements made between 1992 and 2001, the study estimates and documents the market’s reaction to these reserves increase announcements. We further explore the potential impact of additional asbestos and environmental liability exposure reporting requirements. Starting with 1995 statutory annual accounting statements, Footnote 24 required additional reporting by insurers of their asbestos and environmental liability exposure (1995 statements were publicly available by the end of the first quarter of 1996). When looking at reserves increase announcements prior to this additional reporting requirement, we find that most insurers announcing large increases in asbestos and environmental reserves prior to 1996 experience a significant reduction in stock price in the days surrounding their announcement. However, consistent with the notion that the additional accounting disclosure requirements after 1995 (Footnote 24) provide valuable information on insurers’ exposure, we find that the announcement of A&E reserves increases after 1995 had no statistically significant effect on the market value of announcing insurers.     

Organizational structure,risk-based capital requirements,and the sales of downgraded bonds

Using bond downgrades as external shocks to life insurers’ asset risk, we document several findings of the impact of organizational structure and risk factors on investment risk taking. First, we find that mutual insurers and widely-held stock insurers are more likely to sell downgraded bonds than are closely-held stock insurers. Second, we find evidence that insurers are less likely to sell downgraded bonds that remain in the same rating class than bonds downgraded to a lower rating class. The result implies that insurers sell downgraded bonds mainly because of additional capital charge is imposed, not because of downgrade itself. In other words, risk factors in risk-based capital regulation do matter on life insurers’ investment risk taking. Finally, we find that life insurers might be reluctant to sell downgraded bonds at fire-sale prices during the 2008–2009 financial crisis.     

Regulatory capital and asset risk transfer

We explore whether life insurers use a unique reinsurance arrangement to manage assets tied to their regulatory capital. Typical reinsurance allows insurers to reduce their regulatory capital by transferring liabilities (reserves), and the associated assets, to reinsurers. With modified coinsurance (ModCo), insurers maintain control of their liabilities and assets while transferring regulatory capital requirements to the reinsurer. Holding fixed an insurer's reported capital, we find that ModCo allows insurers to report higher risk-based capital ratios. Insurers with ModCo are less likely to fire sale downgraded bonds. We also find suggestive evidence of regulatory arbitrage, as most ModCo is purchased from reinsurers in countries with low capital requirements or within the same insurance group.     

Insurance groups,product diversification,and the role of surplus lines affiliation

The market share of surplus lines insurers has grown considerably. We examine the impact of surplus lines representation within insurer groups on the extent of product diversification. Initial evidence suggests that groups with greater surplus lines representation are more diversified than other groups. These results hold when controlling for the joint impact of surplus lines representation and size, as well as surplus lines representation and the percentage of overall business written in personal lines. However, when examining the subsample of groups affiliated with surplus lines insurers, we find some evidence that supports the product focus hypothesis, which states surplus lines insurers are used to further focus on existing product lines already being written by other members of the group.     

非寿险公司赔款准备金与盈余管理——中国市场的经验分析

利用我国非寿险公司2001~2007年的财务数据,采用分位数回归方法探讨非寿险公司赔款准备金调整的动机,并比较非寿险业务准备金评估方法改变前后公司实现盈余管理动机的差异。研究发现,非寿险公司存在实现盈余管理的现象,相比规避递延税收的目的而言,管理层故意调整公司当年赔款准备金数字进行盈余平滑的动机更为显著。当公司当期盈余表现差于前一期时,管理者倾向于低估当期赔款准备金提升账面盈余;若当期盈余表现优于前一期时,则高估准备金平滑盈余。在当年承保业务不佳,赔付率较高时,非寿险公司具有低估准备金掩饰承保质量的动机。2005年非寿险业务赔款准备金评估方法的改变,显著增强了非寿险公司利用赔款准备金进行盈余管理的动机。     

The Impacts of Surrender Options on Reserve Durations

Estimating the interest rate risk of life insurance reserves is essential for insurers, and surrender options are critical to the estimation. This article advances our understanding of how surrender options affect the durations of reserves. We identify a pattern of the reserve duration with respect to the interest rate that is important in explaining how surrender rate levels and the interest-rate sensitivity of surrenders affect reserve durations. We further found that the surrender behavior that is more positively related to the interest rate produces larger/smaller effective dollar durations when the interest rate is low/high.     

Payment obligations,reserve requirements,and the demand for central bank balances

We develop a model in which a bank's demand for reserves depends on the joint distribution of transactions, reserve requirements, and the interest rate. By devoting resources to its liquidity management, a bank can save on costly reserves required to settle its payments on time. We test the model with data from the largest banks in the Swiss Interbank Clearing system. We find that the turnover ratio (the speed with which a bank turns over its reserves in the payment system) depends largely on the aggregate value of its payments. We also find that reserve requirements impose a highly uneven burden on the banks.     

A Robustification of the Chain-Ladder Method

Abstract

In a non-life insurance business an insurer often needs to build up a reserve to able to meet his or her future obligations arising from incurred but not reported completely claims. To forecast these claims reserves, a simple but generally accepted algorithm is the classical chain-ladder method. Recent research essentially focused on the underlying model for the claims reserves to come to appropriate bounds for the estimates of future claims reserves. Our research concentrates on scenarios with outlying data. On closer examination it is demonstrated that the forecasts for future claims reserves are very dependent on outlying observations. The paper focuses on two approaches to robustify the chain-ladder method: the first method detects and adjusts the outlying values, whereas the second method is based on a robust generalized linear model technique. In this way insurers will be able to find a reserve that is similar to the reserve they would have found if the data contained no outliers. Because the robust method flags the outliers, it is possible to examine these observations for further examination. For obtaining the corresponding standard errors the bootstrapping technique is applied. The robust chain-ladder method is applied to several run-off triangles with and without outliers, showing its excellent performance.     

Do Publicly Disclosed Tax Reserves Tell Us About Privately Disclosed Tax Shelter Activity?

We examine whether public disclosures of tax reserves recently made available through Financial Interpretation No. 48 (FIN 48) reflect corporate tax shelter activities. Understanding this relation is important to corporate stakeholders and researchers keen to infer the aggressive nature of a firm's tax positions from its tax reserve accrual. Our study links public disclosures of tax reserves with mandatory private disclosures of tax shelter participation as made to the Internal Revenue Service's Office of Tax Shelter Analysis. We find strong, robust evidence that the tax reserve is positively associated with tax shelters, while other commonly used measures of tax avoidance are not. Based on out‐of‐sample tests, we also show that the reserve is a suitable summary measure for predicting tax shelters. The tax benefits of tax shelters are economically significant, accounting for up to 48% of the aggregate FIN 48 tax reserves in our sample.     

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.     

Do Sales of Foreign Exchange Reserves Lead to Currency Appreciation?

We employ novel time‐stamped reserve sales data, provided by the Czech National Bank (CNB), to carry out a time‐series analysis of the exchange rate implications of Czech reserve sales aimed at mitigating valuation losses on Euro‐denominated assets. The sales were explicitly not intended to influence the value of the koruna relative to the euro. The period under study includes a well‐defined regime change in the CNB's approach to reserves sales, allowing us to address whether the manner in which the sales are carried out matters for their influence on the relative value of the domestic currency. We find little evidence that reserve sales influence the exchange rate when sales are carried out on a discretionary and relatively infrequent basis. However, when the sales are carried out daily, we find a statistically and economically significant appreciation of the domestic currency follows.