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A Multivariate Analysis for Risk Capital Estimation in Insurance Industry: Vine Copulas

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  • Hanène MEJDOUB
  • Mounira BEN ARAB

Abstract

This paper deals with the risks aggregation issue and adequate risk capital modeling within a multivariate setting. Focusing on the non-life insurance risk module, we examine the sensitivity of capital requirement to the dependence among risks for a multi-line Tunisian insurance firm. Such a context entails a nonlinear dependence of risks problem whose resolution may be intended by means of multivariate copulas. The relevant analysis relies profoundly on the dependence modeling by the means of vine copulas which are a flexible technique to model multivariate distributions constructed using a cascade of bivariate copulas. Under various confidence levels in VaR and TailVaR, the reached findings reveal the advantages of D-Vine copula in modeling inhomogeneous structures of dependency due to its flexibility of use in a simulation context. Practitioners and regulators can explore our conclusions for the assessment of risk capital under Solvency 2, which is based on stochastic models.

Suggested Citation

  • Hanène MEJDOUB & Mounira BEN ARAB, 2017. "A Multivariate Analysis for Risk Capital Estimation in Insurance Industry: Vine Copulas," Asian Development Policy Review, Asian Economic and Social Society, vol. 5(2), pages 100-119.
  • Handle: RePEc:asi:adprev:v:5:y:2017:i:2:p:100-119:id:278
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    Cited by:

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    2. Md. Bokhtiar Hasan & Md. Delowar Hossain & Abu N.M. Wahid, 2018. "Application of Forward Contract and Crop Insurance as Risk Management Tools of Agriculture: A Case Study in Bangladesh," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 8(12), pages 1394-1405, December.
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    4. Ahmed Imran Hunjra & Hasnain Mehmood & Haroon Bakari, 2018. "Co-Movement between Macroeconomic Variables and Capital Flight," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 8(9), pages 1185-1195, September.
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    6. Mohamad Helmi bin Hidthiir & Muhammad Farhan Basheer & Saira Ghulam Hassan, 2019. "The Simultaneity of Corporate Financial Decisions Under Different Levels of Managerial Ownership: A Case of Pakistani Listed Firms," Research in World Economy, Research in World Economy, Sciedu Press, vol. 10(2), pages 147-159, July.

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