From deterministic to stochastic surrender risk models: Impact of correlation crises on economic capital
AbstractIn this paper we raise the matter of considering a stochastic model of the surrender rate instead of the classical S-shaped deterministic curve (in function of the spread), still used in almost all insurance companies. For extreme scenarios, due to the lack of data, it could be tempting to assume that surrenders are conditionally independent with respect to a S-curve disturbance. However, we explain why this conditional independence between policyholders decisions, which has the advantage to be the simplest assumption, looks particularly maladaptive when the spread increases. Indeed the correlation between policyholders decisions is most likely to increase in this situation. We suggest and develop a simple model which integrates those phenomena. With stochastic orders it is possible to compare it to the conditional independence approach qualitatively. In a partially internal Solvency II model, we quantify the impact of the correlation phenomenon on a real life portfolio for a global risk management strategy.
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Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 214 (2011)
Issue (Month): 2 (October)
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Web page: http://www.elsevier.com/locate/eor
Risk management Applied probability Life insurance Surrender risk Correlation risk;
Other versions of this item:
- Stéphane Loisel & Xavier Milhaud, 2011. "From deterministic to stochastic surrender risk models: impact of correlation crises on economic capital," Post-Print hal-00502847, HAL.
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- Harry Bensusan & Nicole El Karoui & Stéphane Loisel & Yahia Salhi, 2012. "Partial Splitting of Longevity and Financial Risks: The Longevity Nominal Choosing Swaptions," Working Papers hal-00768526, HAL.
- Xavier Milhaud & Marie-Pierre Gonon & Stéphane Loisel, 2010. "Les comportements de rachat en Assurance Vie en régime de croisière et en période de crise," Post-Print hal-00502851, HAL.
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