scholarly journals A CORRELATION SENSITIVITY ANALYSIS OF NON-LIFE UNDERWRITING RISK IN SOLVENCY CAPITAL REQUIREMENT ESTIMATION

2013 ◽  
Vol 43 (1) ◽  
pp. 21-37 ◽  
Author(s):  
Lluís Bermúdez ◽  
Antoni Ferri ◽  
Montserrat Guillén
Keyword(s):  
Sensitivity Analysis ◽  
Solvency Ii ◽  
Capital Requirement ◽  
Solvency Capital Requirement ◽  
The Standard Model ◽  
Solvency Capital ◽  
One Year ◽  
The Impact ◽  
Model Approach

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.

FUNDAMENTAL DEFINITION OF THE SOLVENCY CAPITAL REQUIREMENT IN SOLVENCY II

2014 ◽  
Vol 44 (3) ◽  
pp. 501-533 ◽  
Author(s):  
Marcus C. Christiansen ◽  
Andreas Niemeyer
Keyword(s):  
Value At Risk ◽  
Risk Measures ◽  
Solvency Ii ◽  
Capital Requirement ◽  
Insurance Regulation ◽  
Modeling Framework ◽  
Solvency Capital Requirement ◽  
Risk Margin ◽  
Solvency Capital ◽  
Definition Of

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.

scholarly journals Modelling Outstanding Claims with Mixed Compound Processes in Insurance

2019 ◽  
Vol 12 (3) ◽  
pp. 123
Author(s):  
Gian Paolo Clemente ◽  
Nino Savelli ◽  
Diego Zappa
Keyword(s):  
Solvency Ii ◽  
Capital Requirement ◽  
General Insurance ◽  
Run Off ◽  
Mixed Poisson Process ◽  
Mixed Compound ◽  
Future Loss ◽  
Reserve Capital ◽  
The Impact

In general insurance, measuring the uncertainty of future loss payments and estimating the claims reserve are primary goals of actuaries. To deal with these tricky tasks, a broad literature is available on deterministic and stochastic approaches, most of which aims at straightforwardly modelling the overall claims reserve. In this paper by an extended, very general and reproducible case-study, we analyze the reserving process by attributing to each cell of the lower part of the run-off triangle a Compound mixed Poisson Process, calibrated upon both the numbers of claims and future average costs and considering as well the dependence among incremental claims. We provide analytically the moments of both incremental payments and the total reserve. Furthermore, we accordingly consider the probability distribution of the claims reserve, which is necessary for the assessment of the Risk Reserve capital requirement in a Solvency II framework. To test the impact of the model under different scenarios, insurers and lines of business, the case study is thoroughly analyzed by exploiting the Fisher-Lange average cost method.

scholarly journals Operational risk quantification and modelling within Romanian insurance industry

2017 ◽  
Vol 11 (1) ◽  
pp. 637-648
Author(s):  
Răzvan Tudor ◽  
Dumitru Badea
Keyword(s):  
Standard Model ◽  
Insurance Industry ◽  
Operational Risk ◽  
Solvency Ii ◽  
Capital Requirements ◽  
Capital Requirement ◽  
Risk Capital ◽  
Operational Risks ◽  
The Standard Model ◽  
Solvency Capital

Abstract This paper aims at covering and describing the shortcomings of various models used to quantify and model the operational risk within insurance industry with a particular focus on Romanian specific regulation: Norm 6/2015 concerning the operational risk issued by IT systems. While most of the local insurers are focusing on implementing the standard model to compute the Operational Risk solvency capital required, the local regulator has issued a local norm that requires to identify and assess the IT based operational risks from an ISO 27001 perspective. The challenges raised by the correlations assumed in the Standard model are substantially increased by this new regulation that requires only the identification and quantification of the IT operational risks. The solvency capital requirement stipulated by the implementation of Solvency II doesn’t recommend a model or formula on how to integrate the newly identified risks in the Operational Risk capital requirements. In this context we are going to assess the academic and practitioner’s understanding in what concerns: The Frequency-Severity approach, Bayesian estimation techniques, Scenario Analysis and Risk Accounting based on risk units, and how they could support the modelling of operational risk that are IT based. Developing an internal model only for the operational risk capital requirement proved to be, so far, costly and not necessarily beneficial for the local insurers. As the IT component will play a key role in the future of the insurance industry, the result of this analysis will provide a specific approach in operational risk modelling that can be implemented in the context of Solvency II, in a particular situation when (internal or external) operational risk databases are scarce or not available.

scholarly journals On The Longevity Risk Assessment Under Solvency II

2015 ◽  
Vol 31 (3) ◽  
pp. 1149
Author(s):  
Sana Ben Salah ◽  
Lotfi Belkacem
Keyword(s):  
Risk Assessment ◽  
Solvency Ii ◽  
Standard Approach ◽  
Mortality Data ◽  
Longevity Risk ◽  
Capital Requirement ◽  
Insurance Company ◽  
Solvency Capital Requirement ◽  
Standard Formula ◽  
Solvency Capital

<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>

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