Helmut Gründl’s research while affiliated with Goethe University Frankfurt and other places

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Publications (67)


Privacy concerns in insurance markets: Implications for market equilibria and customer utility
  • Article

May 2025

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1 Read

Canadian Journal of Economics/Revue Canadienne d`Economique

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Mark J. Browne

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Helmut Gründl

We analyze insurance market outcomes and customer utility under asymmetric information when customers have heterogeneous privacy concerns and access to a screening technology that permits their private information to be revealed. If the market outcome without the technology is of the Rothschild–Stiglitz type, so too is the market outcome with the technology for those who do not submit to the screening technology and thus retain their private information. Low‐risk customers who reveal their private information are better off and those who do not reveal their risk type are no worse off, resulting in a Pareto improvement. If, however, the market outcome without the technology is of the Wilson–Miyazaki–Spence type, the market may no longer exhibit cross‐subsidies after the screening technology is introduced. In this case, low‐risk customers who reveal their risk type are better off, but this is at the expense of those who do not reveal their risk type, who are worse off due to intensified adverse selection. The negative externality on those who do not reveal their risk type can outweigh the utility gains of those low‐risk customers who do reveal their risk type, resulting in lower expected welfare. In this case, a privacy law would improve expected welfare.




Exploring the market risk profiles of US and European stock insurers

October 2023

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21 Reads

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2 Citations

Risk Management and Insurance Review

Market risks account for an integral part of insurers' risk profiles. We explore market risk sensitivities of insurers in the United States and Europe. Based on panel regression models and daily market data from 2012 to 2018, we find that sensitivities are particularly driven by insurers' product portfolio. The influence of interest rate movements on stock returns is 60% larger for US than for European life insurers. For the former, interest rate risk is a dominant market risk with an effect that is five times larger than through corporate credit risk. For European life insurers, the sensitivity to interest rate changes is only 44% larger than toward credit default swap of government bonds, underlining the relevance of sovereign credit risk.


Figure 2. Efficient frontiers of portfolios constructed with stock indices of 24 industries. The curves reflect two ESG levels (gray: 50, green: 60); the points reflect five solvency ratios (between 160 % and 240 %).
Data set descriptive statistics -ESG score levels
Data set descriptive statistics -EMU countries overview
Data set descriptive statistics -industry sectors
Description of stock return and ESG data on the firm level

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Responsible investments in life insurers’ optimal portfolios under solvency constraints
  • Article
  • Full-text available

February 2023

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72 Reads

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4 Citations

Zeitschrift für die gesamte Versicherungswissenschaft

Download


Figure 1: Expected net cash outflows (annuity payoff minus premium income) from the portfolio of endowment life insurance contracts with subsequent annuity contracts; the number of policyholders at contract inception l 0 is normalized such that L(0) = 1; after year end 2020, no new insurance contracts are signed.
Data set descriptive statistics -industry sectors.
Description of bond data; η j is the mean reversion of the hazard rate, ¯ h j is the average hazard rate, and Γ j is the instantaneous volatility of the hazard rate
Responsible investments in life insurers' optimal portfolios under solvency constraints

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.


Neue Spielregeln. Wie risikobasiert sind die Reformvorschläge zu Solvency II?

March 2022

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11 Reads

Versicherungswirtschaft

In this article we analyse the European Commission's proposals as regards the Solvency II Review (published in September 2021) in respect of its risk-basedness. We try to definie risk-based in the context of a supervision and regulation for insurance undertakings and groups in the EU. Then we structure our analysis along certain areas as risk measure, sustainability or macro prudential tools. We conclude that in general the European Commission sticks to a risk-based approach for the reviewed Solvency II regime.



Insurability of pandemic risks

November 2021

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121 Reads

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27 Citations

Journal of Risk & Insurance

This paper analyzes the scope of the private market for pandemic insurance. We develop a framework that explains theoretically how the equilibrium price of pandemic insurance depends on accumulation risk, covariance between pandemic claims and other claims, and covariance between pandemic claims and the stock market performance. Using the natural catastrophe (NatCat) insurance market as a laboratory, we estimate the relationship between the insurance price markup and the tail characteristics of the loss distribution. Then, by using the high‐frequency data tracking the economic impact of the COVID‐19 pandemic in the United States, we calibrate the loss distribution of a hypothetical insurance contract designed to alleviate the impact of the pandemic on small businesses. The pandemic insurance contract price markup corresponds to the top 20% markup observed in the NatCat insurance market. Then we analyze an intertemporal risk‐sharing scheme that can reduce the expected shortfall of the loss distribution by 50%.


Citations (34)


... Moreover, Düll et al. (2017) reveal that insurers are significantly affected by changes in CDS spreads on government bonds. Grochola et al. (2023) compare the influence of interest rate risk and sovereign credit risk for stock insurers in Europe and the US. The authors find that for European insurers, the sensitivity of stock returns to interest rate changes is only 44% greater than the sensitivity to sovereign CDS spreads, possibly because spread risk and default risk are not entirely hedged. ...

Reference:

Discretionary decisions in capital requirements under Solvency II
Exploring the Market Risk Profiles of U.S. And European Stock Insurers
  • Citing Article
  • January 2023

SSRN Electronic Journal

... Solvency II mandates that insurers maintain adequate capital to cover potential losses, thereby influencing their portfolio allocation decisions [14,15]. Compliance with these regulations necessitates the adoption of advanced risk assessment and portfolio optimization techniques to ensure financial stability and regulatory adherence [16]. Moreover, the increasing digitalization of the insurance industry has introduced new challenges and opportunities in financial risk management, necessitating continuous adaptation and innovation [16,17]. ...

Responsible investments in life insurers’ optimal portfolios under solvency constraints

Zeitschrift für die gesamte Versicherungswissenschaft

... Other research in this area has touched on the problem of the insurability of pandemic risk in specific insurance business lines, for example, the commercial insurance market. Analysis of the private insurance market for pandemic risks shows that it is unlikely that the insurance industry alone will be able to provide sufficient coverage for business interruption losses such as those that occurred during the Covid-19 crisis (Gründl et al., 2021). Another aspect identified with regard to the same business line was also the risk and the likelihood of potential consequences of the Covid-19 pandemic in the medium-and long-term horizon. ...

Insurability of pandemic risks

Journal of Risk & Insurance

... This is of course completely unrealistic. In addition, other standard insurability issues matter here (Gruendl et al., 2021). For example, the anticipation that uninsured people will benefit from various solidarity mechanisms reduces the willingness to pay for any private insurance mechanism ex ante. ...

Insurability of Pandemic Risks
  • Citing Article
  • January 2020

SSRN Electronic Journal

... Regardless of the causes, this pattern could be considered a negative feature for retirees. There is indeed evidence that for elderly people liquidity needs increase with age, for persons older than 85 being six times higher than for persons below 65 (see Weinert and Gründl 2021). Also, Weinert and Gründl (2021) talk about a retirement smile: high consumption levels in the early retirement years followed by a consumption decline as people become more and more home-bound, before a consumption peak at very old ages due to costly nursing care. ...

The modern tontine: An innovative instrument for longevity risk management in an aging society

European Actuarial Journal

... For this purpose, the authors model the typical investment structure as well as the structure of the in-force business of life insurance companies in the EU and consider how the risk situation reacts to different interest rate scenarios. Building on this, Kubitza et al. (2021) examine the impact of rising interest rates on the lapse behavior of life insurance policyholders and the effects on insurers' liquidity. ...

Life Insurance Convexity
  • Citing Article
  • January 2020

SSRN Electronic Journal

... While the cost associated with the implementation of UBI contracts should be compared against their benefit, we do not find either of the two explanations particularly convincing. Some policyholders do state that they care about the privacy of their personal data (see Gemmo et al., 2019). At the same time, Accenture (2019) finds that most of them are willing to share personal information like location data or lifestyle choices with their insurer in exchange for premium discounts and access to personalized services. ...

Privacy Concerns in Insurance Markets: Implications for Market Equilibria and Social Welfare
  • Citing Article
  • January 2019

SSRN Electronic Journal

... Furthermore, the parameter estimation process for this setting is straightforward as it uses the MLE method. Hanewald et al. (2011) established a link between macroeconomic fluctuations and the mortality index of the LC model to develop a dynamic asset liability model. Hanewald (2011) studied the impact of macroeconomic fluctuations in the LC model. ...

Stochastic Mortality, Macroeconomic Risks, and Life Insurer Solvency
  • Citing Article
  • March 2009

SSRN Electronic Journal

... Life insurers writing life annuity business must factor in multi-period cash flows in determining the trade-off between prudential security, measured by the one-year solvency probability under Solvency II, and consumer willingness to pay the price loadings to cover capital costs. A singleperiod shareholder value maximization model for a life insurance company offering term life insurance and life annuities to insolvency-averse consumers was developed in Gründl et al. [9] and used to study the impact of demographic risk on the optimal risk management mix of the insurer. ...

To Hedge or Not to Hedge: Managing Demographic Risk in Life Insurance Companies
  • Citing Article
  • January 2005

SSRN Electronic Journal

... The LC model has inspired numerous modifications, variations, and extensions. Examples encompass adding additional age-time components (Renshaw & Haberman, 2003), modelling cohort effects (Renshaw & Haberman, 2006), proposing alternative estimation approaches (Brouhns et al., 2002;Czado et al., 2005;Pedroza, 2006), and incorporating climate and economic changes (Boonen & Li, 2017;Dutton et al., 2020;Hanewald, 2011;Hanewald et al., 2011;Niu & Melenberg, 2014;Seklecka et al., 2019Seklecka et al., , 2017. All of the above models concentrate on mortality forecasting for a single population. ...

Stochastic Mortality, Macroeconomic Risks, and Life Insurer Solvency
  • Citing Article
  • January 2010

SSRN Electronic Journal