Under What Conditions Is an Insurance Guaranty Fund Beneficial for Policyholders?

In this article, we derive conditions in an imperfect market setting, under which the introduction of a self‐supporting insurance guaranty fund improves the position of the policyholders. When a guaranty fund is advantageous given homogeneous firms in the market, all policyholders benefit from it to the same extent, if they have the same underlying risk preferences and are charged identical premiums. In a more realistic heterogeneous setting, the introduction of an insurance guaranty fund is in general no longer beneficial for all policyholders in the same manner. Hence, systematic wealth transfers take place between the policyholders of different insurance companies. As a possible solution, and in order to counteract this effect, we introduce a framework for utility‐based fund charges.     

Investment guarantees in unit-linked life insurance from the customer perspective

Interest rate guarantees are a typical contract feature in unit-linked-life insurance products. As the financial crisis of 2007/2008 has shown, these guarantees can be of substantial value for policyholders since they ensure that at least a minimum amount will be paid back even if the mutual fund value falls below a specific guaranteed level. However, from the insurance company’s view, these guarantees can be costly—especially in highly volatile markets—due to the required risk management measures which must be undertaken to secure the guarantees promised to the customers. Thus, the aim of this paper is to investigate whether customers really value these guarantees and if their willingness to pay (WTP) is sufficient to cover the guarantee costs. To elicit customer WTP, we use an online questionnaire and compare these results to the actual guarantee costs calculated with the Black and Scholes option pricing formula. One main finding is that even though most of the participants in the online questionnaire work in the financial industry, subjective prices are difficult to derive and are lower, on average, than the prices obtained using a financial pricing model. However, many participants are still willing to pay a substantially higher price.     

Optimal Risk Classification with an Application to Substandard Annuities

Abstract

Substandard annuities pay higher pensions to individuals with impaired health and thus require special underwriting of applicants. Although such risk classification can substantially increase a company's profitability, these products are uncommon except for the well-established U.K. market. In this paper we comprehensively analyze this issue and make several contributions to the literature. First, we describe enhanced, impaired life, and care annuities, and then we discuss the underwriting process and underwriting risk related thereto. Second, we propose a theoretical model to determine the optimal profit-maximizing risk classification system for substandard annuities. Based on the model framework and for given price-demand dependencies, we formally show the effect of classification costs and costs of underwriting risk on profitability for insurers. Risk classes are distinguished by the average mortality of contained insureds, whereby mortality heterogeneity is included by means of a frailty model. Third, we discuss key aspects regarding a practical implementation of our model as well as possible market entry barriers for substandard annuity providers.     

A performance analysis of participating life insurance contracts

Traditional life insurance products, in particular participating life insurance contracts, are often criticized. Their performance is often said to be poor compared to other investment alternatives. Interestingly, this perception appears to persist although very little research has been conducted into the performance of participating life insurance contracts. But are participating life insurance contracts actually bad for policyholders? We conduct a performance analysis based on contracts offered in the German market, in order to provide evidence to support decision making by policyholders.     

Life Settlement Funds: Current Valuation Practices and Areas for Improvement

We analyze the prevailing valuation practices in the life settlement industry based on a sample of 11 funds that cover a large portion of the current market. The most striking result is that a majority of asset managers seem to substantially overvalue their portfolios relative to the prices of comparable transactions that have recently been closed. Drawing on market‐consistent estimates with regard to medical underwriting, it is possible to trace back the observed discrepancies to inadequately low model inputs for life expectancies and discount rates. The main consequences are a dissimilar treatment of investor groups in open‐end funds structures as well as an unduly high compensation for managers and third parties. To address this predicament, we suggest defining life settlements as level 2 assets in the fair value hierarchy of IFRS 13, improving transparency and disclosure requirements, and developing new incentive‐compatible fee schedules.     

Zur Integration heuristischer Managementstrategien in die Dynamische Finanzanalyse

Dynamic financial analysis (DFA) has become an important tool in analyzing the financial situation of insurance companies. Constant development and documentation of DFA tools has occurred during the last years. However, several questions concerning the implementation of DFA systems have not been answered in the DFA literature to date. One such important issue is the consideration of management strategies in the DFA context. The aim of this paper is to study the effects of different management strategies on a non-life insurer’s risk and return profile. Therefore, we extend the results of a recent working paper by Eling / Parnitzke / Schmeiser (2007) with two variants and test these variants numerically within a DFA simulation study.     

Pricing Double-Trigger Reinsurance Contracts: Financial Versus Actuarial Approach

This article discusses various approaches to pricing double‐trigger reinsurance contracts—a new type of contract that has emerged in the area of ‘‘alternative risk transfer.’’ The potential coverage from this type of contract depends on both underwriting and financial risk. We determine the reinsurer's reservation price if it wants to retain the firm's same safety level after signing the contract, in which case the contract typically must be backed by large amounts of equity capital (if equity capital is the risk management measure to be taken). We contrast the financial insurance pricing models with an actuarial pricing model that has as its objective no lessening of the reinsurance company's expected profits and no worsening of its safety level. We show that actuarial pricing can lead the reinsurer into a trap that results in the failure to close reinsurance contracts that would have a positive net present value because typical actuarial pricing dictates the type of risk management measure that must be taken, namely, the insertion of additional capital. Additionally, this type of pricing structure forces the reinsurance buyer to provide this safety capital as a debtholder. Finally, we discuss conditions leading to a market for double‐trigger reinsurance contracts.     

Proposal for a capital market-based guaranty scheme for the financial industry

In this paper, we introduce a capital market-based financial guaranty system as an alternative to current insurance guaranty funds and deposit insurance systems. The guaranty system secures clients’ claims for the event of default by the financial company using a special purpose vehicle which issues bonds to investors. The proposed system, analogous to a credit-linked note, consists of one guaranty vehicle for each financial company. In a first step, we present equations in order to derive the two main input parameters of the special purpose vehicle: the premium and the principal. Subsequently, we analyze the impact of different investment actions taken by the financial companies protected by the guaranty vehicle on various shortfall measures. We find that it will be necessary to restrict the investment volume of investors from the financial industry in order to avoid systematic risk within the proposed guaranty scheme. By deriving practical implications, we show that the capital market-based solution has some key benefits compared to current deposit insurance and insurance guaranty schemes.