scholarly journals Risks of insurance companies in the light of solvency capital requirement Solvency II

2013 ◽  
Vol 11 (42) ◽  
pp. 8-30
Author(s):  
Teresa Czerwińska
2014 ◽  
Vol 44 (3) ◽  
pp. 501-533 ◽  
Author(s):  
Marcus C. Christiansen ◽  
Andreas Niemeyer

AbstractIt is essential for insurance regulation to have a clear picture of the risk measures that are used. We compare different mathematical interpretations of the Solvency Capital Requirement (SCR) definition from Solvency II that can be found in the literature. We introduce a mathematical modeling framework that enables us to make a mathematically rigorous comparison. The paper shows similarities, differences, and properties such as convergence of the different SCR interpretations. Moreover, we generalize the SCR definition to future points in time based on a generalization of the value at risk. This allows for a sound definition of the Risk Margin. Our study helps to make the Solvency II insurance regulation more consistent.


2015 ◽  
Vol 31 (3) ◽  
pp. 1149
Author(s):  
Sana Ben Salah ◽  
Lotfi Belkacem

<p>This paper deals with the longevity risk assessment within the Solvency II framework. We propose a methodology allowing obtaining longevity shocks specified by gender, age and maturity. These shocks, which are calibrated on experience mortality data relative to a French insurance company, are proved to be far away from that assumed in the standard formula and the resulting solvency capital requirement (SCR) leads to significant capital savings as compared to the standard approach.</p>


2013 ◽  
Vol 43 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Lluís Bermúdez ◽  
Antoni Ferri ◽  
Montserrat Guillén

AbstractThis paper analyses the impact of using different correlation assumptions between lines of business when estimating the risk-based capital reserve, the solvency capital requirement (SCR), under Solvency II regulations. A case study is presented and the SCR is calculated according to the standard model approach. Alternatively, the requirement is then calculated using an internal model based on a Monte Carlo simulation of the net underwriting result at a one-year horizon, with copulas being used to model the dependence between lines of business. To address the impact of these model assumptions on the SCR, we conduct a sensitivity analysis. We examine changes in the correlation matrix between lines of business and address the choice of copulas. Drawing on aggregate historical data from the Spanish non-life insurance market between 2000 and 2009, we conclude that modifications of the correlation and dependence assumptions have a significant impact on SCR estimation.


2017 ◽  
Vol 76 ◽  
pp. 164-171 ◽  
Author(s):  
Balázs Mezőfi ◽  
Andras Niedermayer ◽  
Daniel Niedermayer ◽  
Balázs Márton Süli

2018 ◽  
Vol 23 ◽  
Author(s):  
D. Munroe ◽  
B. Zehnwirth ◽  
I. Goldenberg

AbstractIn this paper, four variants of calculating the Solvency Capital Requirement for long-tail liabilities satisfying Solvency II regulations are discussed. The merits of each metric are related to the stated objectives of Solvency II. Assumptions made in the calculations are assessed for suitability for the determination of an appropriate level of Solvency Capital. We show that two methods for calculating Solvency Capital provide insufficient capital to restore the Economic Balance Sheet in the event of distress. The standard formula referencing the Claims Development Result is shown to be too conservative when models are correctly specified.


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