On the application of finance theory to the insurance firm

The primary argument set forth in this article is that the theory of finance can and should be rigorously applied to the study of the insurance firm. In order to illustrate this point, we turn our attention to the insurance solvency literature, where the implications of default risk for insurance company decision-making and regulatory policy are widely discussed but not nearly as widely understood. Rather than treat the probability of ruin as an exogenous constraint that is arbitrarily imposed by regulators, the approach taken here is to endogenize the probability of ruin with respect to a complex contracting process undertaken by a variety of self-interested claim holders. This treatment enables us to evaluate regulatory constraints such as minimum capital requirements within a rigorous theoretical framework. Our analysis suggests that even in an unregulated market, insurers would voluntarily limit their premium-capital ratios in an effort to economize on contracting costs. Furthermore, mutual insurers are likely,ceteris paribus, to employ less leverage than insurers organized as stock corporations.     

Life Insurance Liabilities at Market Value: An Analysis of Insolvency Risk, Bonus Policy, and Regulatory Intervention Rules in a Barrier Option Framework

This article takes a contingent claim approach to the market valuation of equity and liabilities in life insurance companies. A model is presented that explicitly takes into account the following: (i) the holders of life insurance contracts (LICs) have the first claim on the company's assets, whereas equity holders have limited liability; (ii) interest rate guarantees are common elements of LICs; and (iii) LICs according to the so‐called contribution principle are entitled to receive a fair share of any investment surplus. Furthermore, a regulatory mechanism in the form of an intervention rule is built into the model. This mechanism is shown to significantly reduce the insolvency risk of the issued contracts, and it implies that the various claims on the company's assets become more exotic and obtain barrier option properties. Closed valuation formulas are nevertheless derived. Finally, some representative numerical examples illustrate how the model can be used to establish the set of initially fair contracts and to determine the market values of contracts after their inception.     

Why FX Risk Management Is Broken–and What Boards Need to Know to Fix It

This article provides a comprehensive critique of current corporate foreign exchange risk management (FXRM) practices. The authors characterize much of FXRM as a “legacy” activity, a set of outdated, often decentralized and “earnings‐driven” methods and procedures that have not been subjected to rigorous cost‐benefit analysis at the enterprise level. And according to the authors, the costs of poorly designed and executed FXRM have increased sharply in recent decades because of the growing demand by analysts and investors for cost‐efficiency, transparency, and predictability. After discussing six ways in which the FX policy of most large multinationals fails to serve the interests of their investors and other important stakeholders, the authors offer the following: (1) a restatement of the goals of FXRM; (2) an illustration of various ways of implementing a largely (if not completely) centralized approach to FXRM; (3) a proposal for aligning performance evaluation and executive pay with the goals of FXRM; (4) suggestions for improving decision‐support tools in relation to FXRM; (5) proposals for integrating FXRM into an enterprise‐wide risk management system, which include shifting responsibility for FXRM from the Finance/Treasury group to a centralized risk committee (typically under a Chief Risk Officer who reports to the board of directors); and (6) suggestions for improving communication of a company's risk management policies and practices to investors and other stakeholders.     

OPERATING LEVERAGE AND UNDERINVESTMENT

Using a contingent claims model, we examine the impacts of both operating leverage and financial leverage on a firm's investment decisions in the context of capacity expansion. Our model shows that quasi‐fixed operating costs could significantly mitigate the underinvestment problem for debt‐financed firms. The existing debt induces equity holders to delay equity‐financed expansion because the expanded earnings base will also benefit the debt holders by lowering the bankruptcy risk. The operating costs decrease this type of wealth transfer from equity holders to debt holders by magnifying the bankruptcy risk of the existing debt upon investment. By applying the Cox proportional hazard model on a large sample of publicly traded U.S. firms over 1966–2016, we offer empirical support for the theoretical predictions. The results are robust to various measures of operating leverage.     

Betriebsunterbrechungsversicherung bei kleinen und mittleren Unternehmen

The business interruption caused by a property claim is an existential risk both for large industrial companies and for small to medium enterprises (SME). It is especially relevant for companies working on a more complex sales and production infrastructure. Statistics show that in case of a large property claim the cost of the accompanying business interruption claim frequently exceeds the property claim. In Germany, however, the share of companies opting for business interruption insurance is much smaller than those opting for property insurance. This is especially true for SME that can hardly cover the risk themselves. The goal of this paper is to analyze the insurance decision for a business interruption policy with a special focus on SME. As a database we use the results of a representative survey among 1802 German SME with up to 100 employees. Our results show that the decision for a business interruption policy is not only dependent on hard factors such as company size and industry, but also driven by the so-called “insurance mentality”, which includes risk aversion, insurance know-how and price-sensitivity.     

Optimal Insurance With Costly Internal Capital

We introduce costly internal capital into a standard insurance model, in which a risk‐averse policyholder buys insurance from a risk‐neutral insurer with limited liability. The unique optimal contract and internal capital lead to a strictly positive probability for insurer default. Some risks are uninsurable in that the insurer chooses not to provide insurance against such risks. An increase in the cost of capital may lead to a higher optimal amount of internal capital. The results extend to multiple policyholders in a symmetric setting. Our extension of the classical model to include costly internal capital provides a fruitful approach to many real world insurance markets.     

The Impact of Introducing Insurance Guaranty Schemes on Pricing and Capital Structure

The introduction of an insurance guaranty scheme can have significant influence on the pricing and capital structures in a competitive market. The aim of this article is to study this effect on competitive equity–premium combinations while considering a framework with policyholders and equity holders where guaranty fund charges are volume‐based, as levied in existing schemes. Several settings with regard to the origin of the fund contributions are assessed and the immediate effects on the incentives of the policyholders and equity holders are analyzed through a one‐period contingent claim approach. One result is that introducing a guaranty scheme in a market with competitive conditions entails a shift of equity capital towards minimum solvency requirements. Hence, adverse incentives may arise with regard to the overall security level of the industry.     

Ein Reservierungsverfahren für die Rechtsschutzversicherung nach Art der Lebensversicherung

In this paper we introduce a new approach to the calculation of claims reserves (known and IBNR cases) which is particularly adapted to the business model of legal expense insurance. An essential aspect here is the split into two model components: case numbers and average claim costs. In contrast to other reserving methods for case numbers and claims cash flows which are frequently used in practice without checking the validity for application we introduce a model in which the time until case settlement is described by a lifetime distribution according to the principles of life insurance. The split of model components also allows for a simple implementation of cost inflation effects which is required by German law. Finally, the approach proposed here can readily be transferred to the calculation of IBNR reserves.     

The Risk‐Taking Channel of Monetary Policy in the U.S.: Evidence from Corporate Loan Data

To study the presence of a risk‐taking channel in the U.S., we build a comprehensive data set from the syndicated corporate loan market and measure monetary policy using different measures, most notably Taylor (1993) and Romer and Romer (2004) residuals. We identify a negative relation between monetary policy rates and bank risk‐taking, especially in the run up to the 2007 financial crisis. However, this effect is purely supply‐side driven only when using Taylor residuals and an ex ante measure of bank risk‐taking. Our results highlight the sensitivity of the potency of the risk‐taking channel to the measures of monetary policy innovations.     

Optimal hedging in an extended binomial market under transaction costs

We develop an approach to optimal hedging of a contingent claim under proportional transaction costs in a discrete time financial market model which extends the binomial market model with transaction costs. Our model relaxes the binomial assumption on the stock price ratios to the case where the stock price ratio distribution has bounded support. Non-self-financing hedging strategies are studied to construct an optimal hedge for an investor who takes a short position in a European contingent claim settled by delivery. We develop the theoretical basis for our optimal hedging approach, extending results obtained in our previous work. Specifically, we derive a no-arbitrage option price interval and establish properties of the non-self-financing strategies and their residuals. Based on the theoretical foundation, we develop a computational algorithm for optimizing an investor relevant criterion over the set of admissible non-self-financing hedging strategies. We demonstrate the applicability of our approach using both simulated data and real market data.     

Equity and Credibility

We build on previous work concerned with measuring equity and consider the problem of using observed claim data or other information to calculate premiums which maximize equity. When these optimal premiums are used, we show that gathering more information or refining the risk classification always increases equity. We study the case for which the premium is constrained to be an affine function of the claim data and obtain results analogous to classical credibility theory, including the inhomogeneous and homogeneous cases of the Bu¨hlmann-Straub model. We derive formulas for the credibility weights in certain cases.     

IS NOISE TRADER RISK PRICED?

We examine the hypothesis that closed‐end fund shareholders garner greater returns than holders of the underlying assets as compensation for bearing “noise trader risk.” We demonstrate that the returns on fund shares are more volatile and exhibit greater mean reversion than the returns on the underlying assets, consistent with the hypothesis that noise traders play a more active role in closed‐end fund shares than do the underlying assets. Inconsistent with the De Long et al. (1990) noise trader model, however, we find that after accounting for fund expenses, fund shareholders do not earn returns greater than holders of the underlying assets. JEL classification: G12     

Internal Capital Markets and Capital Structure: Bank Versus Internal Debt

We argue that domestic business groups are able to actively optimise the internal/external debt mix across their subsidiaries. Novel to the literature, we use bi‐level data (i.e. data from both individual subsidiary financial statements and consolidated group level financial statements) to model the bank and internal debt concentration of non‐financial Belgian private business group affiliates. As a benchmark, we construct a size and industry matched sample of non‐group affiliated (stand‐alone) companies. We find support for a pecking order of internal debt over bank debt at the subsidiary level which leads to a substantially lower bank debt concentration for group affiliates as compared to stand‐alone companies. The internal debt concentration of a subsidiary is mainly driven by the characteristics of the group's internal capital market. The larger its available resources, the more intra‐group debt is used while bank debt financing at the subsidiary level decreases. However, as the group's overall debt level mounts, groups increasingly locate bank borrowing in subsidiaries with low costs of external financing (i.e. large subsidiaries with important collateral assets) to limit moral hazard and dissipative costs. Overall, our results are consistent with the existence of a complex group wide optimisation process of financing costs.     

The Cost of Deposit Insurance for Privately Held Banks: A Market Comparable Approach

Previous empirical studies that use an option pricing model to estimate deposit insurance costs have been limited to banks that issue publicly traded securities: a bank's security prices are used to infer its risk characteristics. However, if deposit insurance costs are needed for privately held banks, as would be the case under a system of risk-based insurance premiums, then an alternative method is required. This paper presents a “market comparable” approach for valuing private banks' deposit insurance. The approach first uses information on public depository institutions to identify the statistical relationships between a bank's supervisory accounting data and its risk characteristics derived from equity market data. Second, it uses these relationships to predict the risk characteristics of a private depository institution based on its supervisory accounting data. This approach is applied to over 7000 private banks and thrifts to estimate their risk characteristics and their implied risk-neutral and physical probabilities of insolvency. For the vast majority of institutions, these risk characteristics and insolvency probabilities are within a reasonable range.     

Die einjährige Ausschlussfrist bei Invaliditätsleistungen gem. § 7 Abs. 1, S. 3 AUB 88/94 und die Einbindung des Arztes

§ 7 para. 1 phrase 3 AUB 88/94, according to which the invalidity, that has occured within a years time, must be medically determined and enforced within 15 months after the accident, contravenes § 307 para. 2 no. 2 BGB, § 307 para. 1 phrase 1 BGB and § 307 para. 1 phrase 2 BGB. The 15 months’ deadline excludes many policy holders from their insurance claims in advance. This endangers the contracts intention. Secondly: via the above clause the insurer would be enabled to transfer the risk of a wrong medical prognosis completely onto the policy holder which will lead to an improper disadvantage. A possibly endangered healing process and conflicts of interest caused by § 7 para. 1 phrase 3 AUB 88/94 do emphasize this disadvantage. This clause finally is incomprehensible due to the unusual legal consequences and thus contravenes the principle of transparency.     

Assessing Consumer Fraud Risk in Insurance Claims

Abstract

We present an unsupervised learning method for classifying consumer insurance claims according to their suspiciousness of fraud versus nonfraud. The predictor variables contained within a claim file that are used in this analysis can be binary, ordinal categorical, or continuous variates. They are constructed such that the ordinal position of the response to the predictor variable bears a monotonic relationship with the fraud suspicion of the claim. Thus, although no individual variable is of itself assumed to be determinative of fraud, each of the individual variables gives a “hint” or indication as to the suspiciousness of fraud for the overall claim file. The presented method statistically concatenates the totality of these “hints” to make an overall assessment of the ranking of fraud risk for the claim files without using any a priori fraud-classified or -labeled subset of data. We first present a scoring method for the predictor variables that puts all the variables (whether binary “red flag indicators,” ordinal categorical variables with different categories of possible response values, or continuous variables) onto a common –1 to 1 scale for comparison and further use. This allows us to aggregate variables with disparate numbers of potential values. We next show how to concatenate the individual variables and obtain a measure of variable worth for fraud detection, and then how to obtain an overall holistic claim file suspicion value capable of being used to rank the claim files for determining which claims to pay and the order in which to investigate claims further for fraud. The proposed method provides three useful outputs not usually available with other unsupervised methods: (1) an ordinal measure of overall claim file fraud suspicion level, (2) a measure of the importance of each individual predictor variable in determining the overall suspicion levels of claims, and (3) a classification function capable of being applied to existing claims as well as new incoming claims. The overall claim file score is also available to be correlated with exogenous variables such as claimant demographics or highvolume physician or lawyer involvement. We illustrate that the incorporation of continuous variables in their continuous form helps classification and that the method has internal and external validity via empirical analysis of real data sets. A detailed application to automobile bodily injury fraud detection is presented.     

Linear models for minimizing misclassification costs in bankruptcy prediction

This paper illustrates how a misclassification cost matrix can be incorporated into an evolutionary classification system for bankruptcy prediction. Most classification systems for predicting bankruptcy have attempted to minimize misclassifications. The minimizing misclassification approach assumes that Type I and Type II error costs for misclassifications are equal. There is evidence that these costs are not equal and incorporating costs into the classification systems can lead to better and more desirable results. In this paper, we use the principles of evolution to develop and test a genetic algorithm (GA) based approach that incorporates the asymmetric Type I and Type II error costs. Using simulated and real-life bankruptcy data, we compare the results of our proposed approach with three linear approaches: statistical linear discriminant analysis (LDA), a goal programming approach, and a GA-based classification approach that does not incorporate the asymmetric misclassification costs. Our results indicate that the proposed approach, incorporating Type I and Type II error costs, results in lower misclassification costs when compared to LDA and GA approaches that do not incorporate misclassification costs. Copyright © 2001 John Wiley & Sons, Ltd.     

PORTFOLIO FORMATION,MEASUREMENT ERRORS,AND BETA SHIFTS: A RANDOM SAMPLING APPROACH

This article demonstrates that the portfolio approach could suffer a serious problem when the sorting variables contain not only true values but also measurement errors. The grouped measurement errors will be embedded into the data used to test financial models and further bias the testing results. To correct for this measurement‐error problem, I develop a random sampling approach to form portfolios. Results from this new methodology are unbiased and robust. By applying this methodology to investigate beta shifts, I show that the previous results about beta shifts are driven by measurement errors. The actual beta shift pattern is more complicated than that predicted by previous studies. The risk shift hypothesis is unlikely to explain the mean‐reversion puzzle for stock returns. JEL classification: Gil, C43.     

The Moments of the Time of Ruin in Markovian Risk Models

Abstract

We present an approach based on matrix-analytic methods to find moments of the time of ruin in Markovian risk models. The approach is applicable when claims occur according to a Markovian arrival process (MAP) and claim sizes are phase distributed with parameters that depend on the state of the MAP. The method involves the construction of a sample-path-equivalent Markov-modulated fluid flow for the risk model. We develop an algorithm for moments of the time of ruin and prove the algorithm is convergent. Examples show that the proposed approach is computationally stable.     

Shared services as a new organisational form: Some implications for management accounting

As an alternative approach to outsourcing, the Shared Service Organisation (SSO) model retains support services in-house. By re-locating in specialised sites, and by incorporating characteristics from business divisions, head office and outsourcing, the SSO is a new organisational form that combines a market-style, customer-centred, outlook with in-house management direction and control. Consultants claim that the SSO can reduce costs and improve support service quality, with the additional benefit that both control and knowledge remains located within the hierarchy of the firm.In order to critically review these claims and examine the specific novelty of the SSO, the paper interprets data from a longitudinal case study through the lens of institutional theory. Some implications for management accounting and management accountants are noted.