Counterparty risk analysis using Merton´s structural model under Solvency II
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Abstract
The new solvency regulation in the European insurance sector, denominated Solvency II, will completely transform the system of capital requirements estimation. Recently it has introduced the latest quantitative impact study (QIS5), which provides the calculation method in the internal model for the determination of capital requirements. The aim of this paper is to analyze the adequacy of the calibration of the counterparty credit risk by the models proposed in recent quantitative impact reports (fourth and fifth). To do this we compare capital requirements obtained by the two alternatives, against which that results from applying a simulation model based on the structural approach. The results shows that the use of probabilities based on the methodology of Merton, which can be used in an internal model, compared to those based on ratings (standard model) result in substantially higher capital requirements. In addition, the model proposed in QIS4 based on Vasicek distribution is not appropriate when the number of counterparties is reduced, a common situation in the European insurance sector. Moreover, the new proposal (QIS5 or Ter Berg model) is more versatile and suitable than its predecessor but requires further research in order to improve the calibration hypothesis and, thus, to better approximate estimates to the risk actually assumed.
How to Cite
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QIS4, QIS5, counterparty default risk, structural models, internal models, Solvency II
Black, F. and Scholes, M., 1973. The Pricing of Options and Corporate Liabilities. The Journal of Political Economy, 81(3), 637-654.
CEIOPS., 2008a. QIS4 Technical Specifications. MARKT/2505/08.
CEIOPS., 2008b. QIS4 background document Calibration of SCR, MCR and proxies, CEIOPSDOC-02/2008.
CEIOPS., 2009a. SCR standard formula - Counterparty default risk module, CEIOPS-CP-28/09.
CEIOPS., 2009b. SCR standard formula - Further advice on the counterparty default risk module, CEIOPS-CP-51/09.
CEIOPS., 2010a. Solvency II Calibration Paper, CEIOPS-SEC-40-10.
CEIOPS., 2010b. Technical specifications for QIS 5.
Crosbie, P. and Bohn, J., 2003. Modelling default risk. Moody’s KMV Corporation.
Frey, R., and McNeil, F., 2003. Dependent defaults in models of portfolio credit risk. Journal of Risk, 6, 59-92.
Gordy, M., 2000. A comparative anatomy of credit risk models. Journal of Banking and Finance, 24 (1-2), 119-149.
Gropp, R., Vesala, J. and Vulpes, G., (2002). Equity and Bond Market Signals as Leading Indicators of Bank Fragility. Working Paper 150, European Central Bank.
Hillegeist, S., Keating, E., Cram, D. and Lundstedt, K., 2004. Assessing the probability of bankruptcy. Review of Accounting Studies, 9 (1), 5-34
Lau, C., 2006: Market-based estimation of default probabilities and its application to financial markets surveillance, IMF working paper.
Löffler G. and Posch P., 2007. Credit risk modeling using Excel and VBA. John Wiley and Sons.
Magee, S., 2008. The Effect of Foreign Currency Hedging on the Probability of Financial Distress. Disponible en http://dx.doi.org/10.2139/ssrn.1093139 [consultado 15 de diciembre de 2011]
Merton, R., 1974. On the pricing of corporate debt. The risk structure of interest rates. Journal of Finance, 29 (2), 449-479.
Parlamento Europeo y Consejo de la Unión Europea., 2009. Directiva 2009/138/CE, de 25 de noviembre de 2009, sobre el seguro de vida, el acceso a la actividad de seguro y de reaseguro y su ejercicio (Solvencia II).
Ter Berg, P., 2008. Portfolio modelling of counterparty reinsurance default risk. Life & Pensions, 29-33.
Vasicek, O., 1987. Probability of Loss on Loan Portfolio, KMV Corporation.
Vasicek, O., 1991. Limiting Loan Loss Probability Distribution, KMV Corporation.
Vasicek, O., 2002. The distribution of loan portfolio value. Risk, 15, 160-162.
Vassalou, M. and Xing, Y., 2004. Default risk in equity returns. Journal of Finance, 59 (2), 831-868.
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