Different Kinds of Risk

  • Paul EmbrechtsEmail author
  • Hansjörg Furrer
  • Roger Kaufmann


Over the last twenty years, the financial industry has developed numerous tools for the quantitative measurement of risk. The need for this was mainly due to changing market conditions and regulatory guidelines. In this article we review these processes and summarize the most important risk categories considered.


Credit Risk Operational Risk Market Risk Default Probability Insurance Risk 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Artzner, P., Delbaen, F., Eber, J.M. and Heath, D. (1999): Coherent measures of risk. Mathematical Finance 9, 203–228.zbMATHCrossRefMathSciNetGoogle Scholar
  2. Basel Committee on Banking Supervision (2005): International Convergence of Capital Measurement and Capital Standards: A Revised Framework. Bank for International Settlements (BIS), Basel.
  3. Brummelhuis, R. and Guégan, D. (2000): Extreme values of conditional distributions of GARCH(1,1) processes. Preprint, University of Reims.Google Scholar
  4. Brummelhuis, R. and Guégan, D. (2005): Multi period conditional distribution functions for conditionallly normal GARCH(1,1) models. Journal of Applied Probability 42, 426–445.zbMATHCrossRefMathSciNetGoogle Scholar
  5. Chavez-Demoulin, V., Embrechts, P. and Nešlehová, J. (2006): Quantitative models for operational risk: extremes, dependence and aggregation. Journal of Banking and Finance to appear.Google Scholar
  6. Duffie, D. and Singleton, K.J. (1999): Modeling term structures of defaultable bonds. Review of Financial Studies 12, 687–720.CrossRefGoogle Scholar
  7. D.Duffie, K.J. Singleton, (2003):Credit Risk. Pricing, Measurement and Management. Princeton University Press.Google Scholar
  8. Embrechts, P., Höing, A. and Juri, A. (2003): Using copulae to bound the Value-at-Risk for functions of dependent risks. Finance and Stochastics 7, 145–167.zbMATHCrossRefMathSciNetGoogle Scholar
  9. Geman, H. (2005): Commodities and Commodity Derivatives: Modelling and Pricing for Agriculturals, Metals and Energy. John Wiley, Chichester.Google Scholar
  10. Gibson, R. (2000): In: Gibson, R. (Ed.): Model Risk, Concepts, Calibration and Pricing. Risk Waters Group, London.Google Scholar
  11. Jorion, P. (2000): Value at Risk. McGraw-Hill, New York.Google Scholar
  12. Kaufmann, R. (2005): Long-term risk management. Proceedings of the 15th International AFIR Colloquium Zürich.Google Scholar
  13. Klugman, S.A., Panjer, H.H. and Willmot, G.E. (2004): Loss Models: From Data to Decisions (2nd ed.). John Wiley, New York.zbMATHGoogle Scholar
  14. Klüppelberg, C. and Rootzén, H. (1999): A single number can't hedge against economic catastrophes. Ambio 28, 550–555.Google Scholar
  15. Lando, D. (1998): Cox processes and credit-risky securities. Review of Derivatives Research 2, 99–120.Google Scholar
  16. McNeil, A.J., Frey, R. Embrechts, P. (2005):Quantitative Risk Management: Concepts, Techniques and Tools. Princeton University Press.Google Scholar
  17. Merton, R. (1974): On the pricing for corporate debt: the risk structure of interest rates. Journal of Finance 29, 449–470.CrossRefGoogle Scholar
  18. Moscadelli, M. (2004): The modelling of operational risk: experience with the analysis of the data collected by the Basel committee. Technical Report 517, Banca d'Italia.Google Scholar
  19. Müller, H. (1997): Solvency of insurance undertakings. Conference of the Insurance Supervisory Authorities of the Member States of the European Union.
  20. Nešlehová, J., Embrechts, P. and Chavez-Demoulin, V. (2006): Infinite-mean models and the LDA for operational risk. Journal of Operational Risk 1, 3–25.Google Scholar
  21. Sandström, A. (2005): Solvency: Models, Assessment and Regulation. Chapman & Hall/CRC, Boca Raton.Google Scholar
  22. Schmock, U. (1999): Estimating the value of the Wincat coupons of the Winterthur insurance convertible bond: a study of the model risk. ASTIN Bulletin 29, 101–163.CrossRefGoogle Scholar
  23. Sharma, P. (2002): Prudential supervision of insurance undertakings. Conference of Insurance Supervisory Services of the Member States of the European Union.
  24. Shiller, R. J. (2003):The New Financial Order: Risk in the Twenty-First Century. Princeton University Press.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Paul Embrechts
    • 1
    Email author
  • Hansjörg Furrer
    • 2
  • Roger Kaufmann
    • 3
  1. 1.ETH Zürich, Department of MathematicsZurichSwitzerland
  2. 2.Swiss LifeZurichSwitzerland
  3. 3.AXA WinterthurWinterthurSwitzerland

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