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Testing frequency and severity risk under various information regimes and implications in insurance
(2023)
We build on Peter et al. (2017) who examined the benefit of testing frequency risk under various information regimes. We first consider testing only severity risk, and whether the principle of indemnity, i.e. the usual contract term that excludes claims payments above the resulting insured loss, affects the insurance contracts offered and purchased. Under information regimes which are less restrictive (in terms of obtaining and using customer information), it is possible for the insurer to offer different contracts for tested and untested individuals. In the absence of the principle of indemnity, individuals will test their severity risk and a separating equilibrium ensues. With the principle of indemnity, given an actuarially fair pooled contract, individuals will not test for severity under less restrictive information regimes; a pooling equilibrium thus ensues. Under more restrictive information regimes, the insurer offers separating contracts. Individuals will test for severity and purchase appropriate contracts. We also consider testing for both frequency and severity risk. The results here are more varied. The highest gain in efficiency from testing results from one of the more restrictive information regimes. Generally under all information regimes, there is a greater gain in efficiency without the principle of indemnity than with the principle of indemnity.
Common systemic risk measures focus on the instantaneous occurrence of triggering and systemic events. However, systemic events may also occur with a time-lag to the triggering event. To study this contagion period and the resulting persistence of institutions' systemic risk we develop and employ the Conditional Shortfall Probability (CoSP), which is the likelihood that a systemic market event occurs with a specific time-lag to the triggering event. Based on CoSP we propose two aggregate systemic risk measures, namely the Aggregate Excess CoSP and the CoSP-weighted time-lag, that reflect the systemic risk aggregated over time and average time-lag of an institution's triggering event, respectively. Our empirical results show that 15% of the financial companies in our sample are significantly systemically important with respect to the financial sector, while 27% of the financial companies are significantly systemically important with respect to the American non-financial sector. Still, the aggregate systemic risk of systemically important institutions is larger with respect to the financial market than with respect to non-financial markets. Moreover, the aggregate systemic risk of insurance companies is similar to the systemic risk of banks, while insurers are also exposed to the largest aggregate systemic risk among the financial sector.
Mittels des Gesetzes zur zusätzlichen Aufsicht über beaufsichtigte Unternehmen eines Finanzkonglomerats (Konglomerate, die aus mehreren Unternehmen aus verschiedenen Finanzmarktsektoren bestehen, beispielsweise aus dem Bankensektor und dem Versicherungssektor) sollen Regelungslücken geschlossen werden, die insbesondere die Gefahr betreffen, die sich aus der „Ansteckung“ einzelner Finanzkonglomerats-Unternehmen ergeben. Die vorliegende Stellungnahme weist auf eine Inkonsistenz in der beabsichtigten Ansiedlung der Aufsichtskompetenz hin und bietet einen Vorschlag zur Präzisierung der Eigenmittelvorschriften.
Der Entwurf eines Lebensversicherungsreformgesetz der Bundesregierung vom 04.06.2014 adressiert die Folgen der derzeitigen Niedrigzinsphase für Lebensversicherungunternehmen und Lebensversicherte. Helmut Gründl kommentiert die vorgeschlagene Regelung zu den Bewertungsreserven, die Regelung zur Ausschüttungssperre sowie die Regelung zum Höchstzillmersatz. Der Beitrag konzentriert sich auf die Auswirkungen der Vorschläge auf die Renditeerwartungen des Kollektivs der Versicherungsnehmer sowie auf die Anreize potentieller Eigenkapitalgeber, sich an Versicherungsunternehmen zu beteiligen.
Investors and insurance policyholders are often confronted with complex products and providers' opaque organisational structures. At the same time, the possibility that their claims will not be honoured often poses an existential risk. Financial regulation therefore aims at putting in place a financial services framework that will safeguard market processes whilst also protecting consumers. However, benefits of regulation are accompanied by certain risks, as can be exemplified with the case of insurance regulation.
Kapitalanleger wie Versicherungsnehmer werden oft konfrontiert mit komplexen Produkten und nicht durchschaubaren Unternehmensstrukturen der Anbieter. Gleichzeitig stellt die mögliche Nichterfüllung ihrer Ansprüche häufig ein existenzielles Risiko dar. Deshalb ist es Ziel der Finanzregulierung, Rahmenbedingungen im Finanzdienstleistungsbereich zu schaffen, die wirtschaftliche Abläufe gewährleisten und gleichzeitig den Konsumenten schützen. Dem Nutzen der Regulierung stehen aber auch Risiken gegenüber, die im diesem Artikel am Beispiel der Versicherungsregulierung dargelegt werden.
This paper investigates the effects of a rise in interest rate and lapse risk of endowment life insurance policies on the liquidity and solvency of life insurers. We model the book and market value balance sheet of an average German life insurer, subject to both GAAP and Solvency II regulation, featuring an existing back book of policies and an existing asset allocation calibrated by historical data. The balance sheet is then projected forward under stochastic financial markets. Lapse rates are modeled stochastically and depend on the granted guaranteed rate of return and prevailing level of interest rates. Our results suggest that in the case of a sharp increase in interest rates, policyholders sharply increase lapses and the solvency position of the insurer deteriorates in the short-run. This result is particularly driven by the interaction between a reduction in the market value of assets, large guarantees for existing policies, and a very slow adjustment of asset returns to interest rates. A sharp or gradual rise in interest rates is associated with substantial and persistent liquidity needs, that are particularly driven by lapse rates.
This paper sheds light on the life insurance sector’s liquidity risk exposure. Life insurers are important long-term investors on financial markets. Due to their long-term investment horizon they cannot quickly adapt to changes in macroeconomic conditions. Rising interest rates in particular can expose life insurers to run-like situations, since a slow interest rate passthrough incentivizes policyholders to terminate insurance policies and invest the proceeds at relatively high market interest rates. We develop and empirically calibrate a granular model of policyholder behavior and life insurance cash flows to quantify insurers’ liquidity risk exposure stemming from policy terminations. Our model predicts that a sharp interest rate rise by 4.5pp within two years would force life insurers to liquidate 12% of their initial assets. While the associated fire sale costs are small under reasonable assumptions, policy terminations plausibly erase 30% of life insurers’ capital due to mark-to-market accounting. Our analysis reveals a mechanism by which monetary policy tightening increases liquidity risk exposure of non-bank financial intermediaries with long-term assets.
Socially responsible investing (SRI) continues to gain momentum in the financial market space for various reasons, starting with the looming effect of climate change and the drive toward a net-zero economy. Existing SRI approaches have included environmental, social, and governance (ESG) criteria as a further dimension to portfolio selection, but these approaches focus on classical investors and do not account for specific aspects of insurance companies. In this paper, we consider the stock selection problem of life insurance companies. In addition to stock risk, our model set-up includes other important market risk categories of insurers, namely interest rate risk and credit risk. In line with common standards in insurance solvency regulation, such as Solvency II, we measure risk using the solvency ratio, i.e. the ratio of the insurer’s market-based equity capital to the Value-at-Risk of all modeled risk categories. As a consequence, we employ a modification of Markowitz’s Portfolio Selection Theory by choosing the “solvency ratio” as a downside risk measure to obtain a feasible set of optimal portfolios in a three-dimensional (risk, return, and ESG) capital allocation plane. We find that for a given solvency ratio, stock portfolios with a moderate ESG level can lead to a higher expected return than those with a low ESG level. A highly ambitious ESG level, however, reduces the expected return. Because of the specific nature of a life insurer’s business model, the impact of the ESG level on the expected return of life insurers can substantially differ from the corresponding impact for classical investors.