Abstract
Solvency 2 Directive provides a range of methods to calculate the Solvency Capital Requirement (SCR). Focusing on the Standard Formula (SF) approach with Undertaking-Specific Parameters (USPs), the Technical Specifications (TS) of Quantitative Impact Study 5 (QIS5) describes a subset of the SF market parameters (standard deviations) that may be replaced by USPs, in order to calculate the SCR deriving from Premium Risk, using three different standardised methods. Compared to the existing literature and practice, this paper innovates in that this standard deviation will be calculated using a Partial Internal Risk Model (PIRM), based on Generalised Linear or Additive Models (GLM or GAM), showing how the techniques usually developed for premium calculation could be useful for this goal.
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References
ANIA: Italian Insurance 2010–2011 (2009). http://www.ania.it/it/index.html
CEIOPS: QIS5 Technical Specifications, Brussels (2010). http://ec.europa.eu
Cerchiara, R.R., Santoni, A.: Analisi di Mercato: Undertaking Specific Parameters. ANIA, Rome (2010). http://www.ania.it/it/index.html
Daykin, C.D., Pentikäinen, T., Pesonen, M.: Practical Risk Theory for Actuaries. Chapman & Hall, London (1994)
European Parliament: legislative resolution of 22 April 2009 on the amended proposal for a directive of the European Parliament and of the Council on the taking-up and pursuit of the business of Insurance and Reinsurance (2009)
Gigante, P., Picech, L., Sigalotti, L.: La Tariffazione nei Rami Danni con Modelli Lineari Generalizzati. EUT editore, Trieste (2010)
Hastie, T.J., Tibshirani, R.J.: Generalized Additive Models. Chapman & Hall, New York (1990)
Klugman, S., Panjer, H., Willmot, G.: Loss Models—From Data to Decisions, 3rd edn. Wiley, New York (2008)
Nelder, J.A., Wedderburn, R.W.M.: Generalized linear models. J. R. Stat. Soc. A 135, 370–384 (1972)
Ohlsson, E., Johansson, B.: Non-life Insurance Pricing with Generalized Linear Models. EAA Series Textbook. Springer, Berlin (2010)
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Cerchiara, R.R., Magatti, V. (2014). The Estimation of Standard Deviation of Premium Risk Under Solvency 2. In: Perna, C., Sibillo, M. (eds) Mathematical and Statistical Methods for Actuarial Sciences and Finance. Springer, Cham. https://doi.org/10.1007/978-3-319-05014-0_14
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DOI: https://doi.org/10.1007/978-3-319-05014-0_14
Publisher Name: Springer, Cham
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