Equity-Linked Pension Schemes with Guarantees
This paper analyses the relationship between the level of a return guarantee in an equity-linked pension scheme and the proportion of an investor's contribution needed to finance this guarantee. Three types of schemes are considered: investment guarantee, contribution guarantee and participation surplus. The evaluation of each scheme involves pricing an Asian option, for which relatively tight upper and lower bounds can be calculated in a numerically efficient manner. We find a negative (and for two contracts pecifications also concave) relationship between the participation in the surplus return of the investment strategy and the guarantee level in terms of a minimum rate of return. Furthermore, the introduction of a possibility of early termination of the contract (e.g. due to the death of the investor) has no qualitative and very little quantitative impact on this relationship.
|Date of creation:||01 Jan 2010|
|Date of revision:|
|Publication status:||Published as: Nielsen, J. A., Sandman, K. and Schlogl, E., 2011, "Equity-linked pension schemes with guarantees", Insurance: Mathematics and Economics, 49(3), 547-564.|
|Contact details of provider:|| Postal: PO Box 123, Broadway, NSW 2007, Australia|
Phone: +61 2 9514 7777
Fax: +61 2 9514 7711
Web page: http://www.qfrc.uts.edu.au/
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Michael Curran, 1994. "Valuing Asian and Portfolio Options by Conditioning on the Geometric Mean Price," Management Science, INFORMS, vol. 40(12), pages 1705-1711, December.
- Nielsen, J. Aase & Klaus Sandmann, 1995.
"Equity-linked life insurance - a model with stochastic interest rates,"
Discussion Paper Serie B
291, University of Bonn, Germany, revised Mar 1995.
- Aase Nielsen, J. & Sandmann, Klaus, 1995. "Equity-linked life insurance: A model with stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 225-253, July.
- Steinar Ekern & Svein-Arne Persson, 1996. "Exotic Unit-Linked Life Insurance Contracts," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 21(1), pages 35-63, June.
- Nielsen, J.A. & Sandmann, K., 1998. "Asian Exchange Rate Options under Stochastic Interest Rates: Pricing as a Sum of Delayed Payment Options," Discussion Paper Serie B 431, University of Bonn, Germany.
- Nielsen, J. Aase & Sandmann, Klaus, 2003. "Pricing Bounds on Asian Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(02), pages 449-473, June.
- Bacinello, Anna Rita & Ortu, Fulvio, 1993. "Pricing equity-linked life insurance with endogenous minimum guarantees," Insurance: Mathematics and Economics, Elsevier, vol. 12(3), pages 245-257, June.
- J. Aase Nielsen & Klaus Sandmann, 1996.
"Uniqueness of the Fair Premium for Equity-Linked Life Insurance Contracts,"
The Geneva Risk and Insurance Review,
Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 21(1), pages 65-102, June.
- Nielsen, J. Aase & Klaus Sandmann, 1995. "Uniqueness of the Fair Premium for Equity-Linked Life Insurance Contracts," Discussion Paper Serie B 327, University of Bonn, Germany, revised Mar 1996.
- Heath, David & Jarrow, Robert & Morton, Andrew, 1992. "Bond Pricing and the Term Structure of Interest Rates: A New Methodology for Contingent Claims Valuation," Econometrica, Econometric Society, vol. 60(1), pages 77-105, January.
- Møller, Thomas, 1998. "Risk-Minimizing Hedging Strategies for Unit-Linked Life Insurance Contracts," ASTIN Bulletin: The Journal of the International Actuarial Association, Cambridge University Press, vol. 28(01), pages 17-47, May.
When requesting a correction, please mention this item's handle: RePEc:uts:rpaper:270. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Duncan Ford)
If references are entirely missing, you can add them using this form.