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Liability Modelling Process

  • Nils Rüfenacht
Chapter
Part of the Contributions to Management Science book series (MANAGEMENT SC.)

Abstract

In this chapter I will complete the presentation of the entire modelling approach by introducing its second part, the liability modelling process. As mentioned at the beginning of Chap. 3 insurance specific data is provided by Helvetia. In order to understand the ideas of the liability modelling process certain knowledge of these data is quite helpful. So first of all we shall have a closer look at the available 111,437 policies captured as at the end of 2009. Basically the data can be separated into four categories of different insurance types: Endowment, whole life, term life and pure endowment insurance.

Keywords

Cash Flow Market Interest Rate Policy Reserve Policy Account Premium Income 
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.

References

  1. .
    Amemiya T (1973) Regression analysis when the dependent variable is truncated normal. Econometrica 41:997–1016CrossRefGoogle Scholar
  2. .
    AVO (2009) Verordnung vom 9. November 2005 über die Beaufsichtigung von privaten Versicherungsunternehmen (Aufsichtsverordnung, AVO), Stand am 1. Januar 2009, SR-Nummer: 961.011. http://www.admin.ch/ch/d/sr/9/961.011.de.pdf. Last checked 1 June 2011
  3. .
    Barsky RB (1989) Why don’t the prices of stocks and bonds move together? Am econ rev 79(5):1132–1145Google Scholar
  4. .
    Brigo D, Mercurio F (2006) Interest rate models – Theory and practice. With smile, inflation and credit, 2nd edn. Springer, New YorkGoogle Scholar
  5. .
    Briys E, de Varenne F (1997) On the risk of life insurance liabilities: debunking some common pitfalls. J Risk Insur 64(4):673–694CrossRefGoogle Scholar
  6. .
    CEIOPS (2010a) Committee of European insurance and occupational pensions supervisors CEIOPS (2010): QIS5 technical specifications. https://www.ceiops.eu/fileadmin/tx_dam/files/consultations/QIS/QIS5/QIS5-technical_specifications_20100706.pdf. Last checked 1 June 2011
  7. .
    CEIOPS (2010b) Committee of European insurance and occupational pensions supervisors CEIOPS (2010): annexes to the QIS5 technical specifications. https://www.ceiops.eu/fileadmin/tx_dam/files/consultations/QIS/QIS5/Annexes-to-QIS5-technical_specifications_20100706.pdf. Last checked 1 June 2011
  8. .
    CFO Forum (2009a) CFO Forum (2009): market consistent embedded value principles. http://www.cfoforum.nl/downloads/MCEV_Principles_and_Guidance_October_2009.pdf. Last checked 1 June 2011
  9. .
    CFO Forum (2009b) CFO Forum (2009): market consistent embedded value basis for conclusions. http://www.cfoforum.nl/downloads/CFO_Forum_MCEV_Basis_for_Conclusions.pdf. Last checked 1 June 2011
  10. .
    Chadburn RG (1998) Controlling solvency and maximizing policyholdersÕ returns: a comparison of management strategies for accumulating with-profits long-term insurance business. Actuarial Research Paper No. 115, Department of Actuarial Science and Statistics, City UniversityGoogle Scholar
  11. .
    Cox JC, Ingersoll JE, Ross SA (1985) A theory of the term structure of interest rates. Econometrica 53(1985):385–407CrossRefGoogle Scholar
  12. .
    Cummins JD, Miltersen KR, Persson S-A (2004) International comparison of interest rate guarantees in life insurance. Conference proceedings ASTIN 2004, BergenGoogle Scholar
  13. .
    EC 138 (2009) Directive 2009/138/EC of the European parliament and of the council of 25 November 2009 on the taking-up and pursuit of the business of insurance and reinsurance (solvency II). http://register.consilium.europa.eu/pdf/en/09/st03/st03643-re06.en09.pdf. Last checked 1 June 2011
  14. .
    FINMA (2008) Eidgenšssische Finanzmarktaufsicht FINMA, Rundschreiben 2008/18 Anlagerichtlinien Versicherer, Stand am 20. November 2008, Referenz: FINMA-RS 08/18 “Anlagerichtlinien Versicherer”. http://www.finma.ch/d/regulierung/Documents/finma-rs-2008-18.pdf. Last checked 1 June 2011
  15. .
    FOPI (2004a) Swiss federal office of private insurance FOPI (2004): white paper of the Swiss solvency test. http://www.finma.ch/archiv/bpv/download/e/WhitePaperSST_en.pdf. Last checked 1 June 2011
  16. .
    FOPI (2004b) Swiss federal office of private insurance FOPI (2004): technical document on the Swiss solvency test. http://www.finma.ch/archiv/bpv/download/e/SST_techDok_061002_E_wo_Li_20070118.pdf. Last checked 1 June 2011
  17. .
    FSA (2001) Financial services authority (2001) Glick report – Joint opinion of Ian Glick QC and Richard Snowden for the financial services authority. May 2001. http://www.fsa.gov.uk/pubs/other/Equitable_Final_Glick_QC.pdf. Last checked 1 June 2011
  18. .
    Gatzert N (2009) Implicit options in life insurance: an overview. Zeitschrift für die gesamte Versicherungswissenschaft 98:141–164CrossRefGoogle Scholar
  19. .
    Gerber HU (1997) Life insurance mathematics, 3rd edn. Springer, BerlinGoogle Scholar
  20. .
    Grosen A, Jørgensen PL (2000) Fair valuation of life insurance liabilities: the impact of interest rate guarantees, surrender pptions and bonus policies. Insur Math Econ 26:37–57CrossRefGoogle Scholar
  21. .
    Grosen A, Jørgensen PL (2002a) Life insurance liabilities at market value: an analysis of insolvency risk, bonus policy, and regulatory intervention rules in a barrier option framework. J Risk Insur 69(1):63–91CrossRefGoogle Scholar
  22. .
    Grosen A, Jørgensen PL (2002b) The bonus-crediting mechanism of Danish pension and life insurance companies. J Pension Econ Finance 1:249–268. Cambridge University PressGoogle Scholar
  23. .
    Haberman S, Ballotta L, Wang N (2003) Modelling and valuation of guarantees in with-profit and unitised with-profit life insurance contracts. Actuarial Research Paper No. 146, Department of Actuarial Science and Statistics, Cass Business School LondonGoogle Scholar
  24. .
    Hansen M, Miltersen KR (2002) Minimum rate of return guarantees: the Danish case. Scand Actuarial J 2002(4):280–318CrossRefGoogle Scholar
  25. .
    Harrison JM, Kreps DM (1979) Martingales and arbitrage in multiperiod securities markets. J Econ Theory 20:381–408CrossRefGoogle Scholar
  26. .
    Harrison JM, Pliska SR (1981) Martingales and stochastic integrals in the theory of continuous trading. Stoch Proc Appl 11:215–260CrossRefGoogle Scholar
  27. .
    House of Lords (2000) Judgments – Equitable life assurance society v. Hyman on 20 July 2000. http://www.publications.parliament.uk/pa/ld199900/ldjudgmt/jd000720/equite-1.htm. Last checked 1 June 2011
  28. .
    Hull JC (2006) Options, futures and other derivatives, 6th edn. Pearson, Upper Saddle RiverGoogle Scholar
  29. .
    Hull JC, White A (1990) Pricing interest rate derivative securities. Rev Financ Stud 3(4):573–592CrossRefGoogle Scholar
  30. .
    Hull JC, White A (1994) Branching out. RISK July:34–37Google Scholar
  31. .
    Jensen B, Jørgensen PL, Grosen A (2001) A finite difference approach to the valuation of path dependent life insurance liabilities. Geneva Pap Risk Ins Theory 26:57–84CrossRefGoogle Scholar
  32. .
    Keller P, Gisler A, Wüthrich MV (2011) Zur Diskontierung der Versicherungsverpflichtungen im SST. Advisory opinion published by the SAA. http://www.actuaries.ch/50_richtlinien/12_stellungnahmen.htm. Last checked 1 June 2011
  33. .
    Kling A, Richter A, Russ J (2007) The impact of surplus distribution on the risk exposure of with profit life insurance policies including interest rate guarantees. J Risk Insur 74(3):571–589CrossRefGoogle Scholar
  34. .
    Menner M, Ilgmann C (2011) Negative nominal interest rates: history and current proposals. CAWM Discussion Papers No. 43 from Center of Applied Economic Research Münster (CAWM), University of MünsterGoogle Scholar
  35. .
    Merton RC (1977) An analytic derivation of the cost of deposit insurance and loan guarantees. J Bank Financ 1:3–11CrossRefGoogle Scholar
  36. .
    Merton RC (1990) Continuous time finance. Blackwell, CambridgeGoogle Scholar
  37. .
    Needleman PD, Roff TA (1995) Asset shares and their use in the financial management of a with-profits fund. Br Actuarial J 1:603–688CrossRefGoogle Scholar
  38. .
    Privault N (2008) An elementary introduction to stochastic interest rate modeling. Advanced series of statistical science & applied probability, vol 12. World Scientific, SingaporeGoogle Scholar
  39. .
    Schrager D, Pelsser AAJ (2006) Pricing swaptions and coupon bond options in affine term structure models. Math Financ 16:673–694CrossRefGoogle Scholar
  40. .
    Shreve SE (2004) Stochastic calculus for finance II, continuous-time models. Springer, New YorkGoogle Scholar
  41. .
    Stivers C, Sun L (2002) Stock market uncertainty and the relation between stock and bond returns. Working Paper 2002–3, Federal Reserve Bank of AtlantaGoogle Scholar
  42. .
    Swiss Association of Actuaries SAA (2006) Guideline on the market-consistent valuation and modelling of options and guarantees under the Swiss Solvency Test (SST). http://www.actuaries.ch/de/50_richtlinien/01_richtlinien.htm. Last checked 1 June 2011
  43. .
    Swiss Reinsurance Company (2006) Sigma, No 4/2006, solvency II: an integrated risk approach for European insurers. http://media.swissre.com/documents/sigma4_2006_en.pdf. Last checked 1 June 2011
  44. .
    The R Development Core Team (2010) R: a language and environment for statistical computing. Reference index, Version 2.12.1. http://cran.r-project.org/doc/manuals/fullrefman.pdf. Last checked 1 June 2011
  45. .
    Tillinghast-Towers Perrin (2001) Asset share survey 2000. LondonGoogle Scholar
  46. .
    VAG (2009) Bundesgesetz vom 17. Dezember 2004 betreffend die Aufsicht über Versicherungsunternehmen (Versicherungsaufsichtsgesetz, VAG), Stand am 1. Januar 2009. SR-Nummer: 961.01. http://www.admin.ch/ch/d/sr/9/961.01.de.pdf. Last checked 1 June 2011
  47. .
    van Haastrecht A (2007) Hybrid equity-interest rate models with focus on efficient simulation and calibration methods. Master thesis, faculty of economics and business administration, vrije universiteit AmsterdamGoogle Scholar
  48. .
    Vasicek O (1977) An equilibrium characterization of the term structure. J Financ Econ 5:177–188CrossRefGoogle Scholar
  49. .
    VVG (2009) Bundesgesetz vom 2. April 1908 über den Versicherungsvertrag (Versicherungsvertragsgesetz, VVG), Stand am 1. Juli 2009, SR-Nummer: 221.229.1. http://www.admin.ch/ch/d/sr/2/221.229.1.de.pdf. Last checked 1 June 2011

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Nils Rüfenacht
    • 1
  1. 1.BaselSwitzerland

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