Advanced Search
MyIDEAS: Login

Supermodular ordering and stochastic annuities

Contents:

Author Info

  • Goovaerts, Marc
  • Dhaene, Jan

Abstract

In this paper, we consider several types of stochastic annuities, for which an explicit expression of the distribution function is not available. We will construct a random variable with the same mean and which is larger in stop-loss order, for which the distribution function can easily be obtained. (C) 1999 Elsevier Science B.V. All rights reserved.

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: https://lirias.kuleuven.be/bitstream/123456789/101223/1/Supermodularorderingandstochasticannuities.pdf
Our checks indicate that this address may not be valid because: 400 Bad Request. If this is indeed the case, please notify (Carl Demeyere)
Download Restriction: no

Bibliographic Info

Paper provided by Katholieke Universiteit Leuven in its series Open Access publications from Katholieke Universiteit Leuven with number urn:hdl:123456789/101223.

as in new window
Length:
Date of creation: May 1999
Date of revision:
Publication status: Published in Insurance: Mathematics & Economics (1999-05) v.24, p.281-290
Handle: RePEc:ner:leuven:urn:hdl:123456789/101223

Contact details of provider:
Web page: http://www.kuleuven.be

Related research

Keywords: supermodular ordering; stochastic annuities; stop-loss order; distributions;

Other versions of this item:

References

References listed on IDEAS
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.:
as in new window
  1. De Schepper, A. & Teunen, M. & Goovaerts, M., 1994. "An analytical inversion of a Laplace transform related to annuities certain," Insurance: Mathematics and Economics, Elsevier, vol. 14(1), pages 33-37, April.
  2. Goovaerts, Marc & Redant, Hendrik, 1999. "On the distribution of IBNR reserves," Insurance: Mathematics and Economics, Elsevier, vol. 25(1), pages 1-9, September.
  3. Milevsky, Moshe Arye, 1997. "The present value of a stochastic perpetuity and the Gamma distribution," Insurance: Mathematics and Economics, Elsevier, vol. 20(3), pages 243-250, October.
  4. Hélyette Geman & Marc Yor, 1993. "Bessel Processes, Asian Options, And Perpetuities," Mathematical Finance, Wiley Blackwell, vol. 3(4), pages 349-375.
  5. Yaari, Menahem E, 1987. "The Dual Theory of Choice under Risk," Econometrica, Econometric Society, vol. 55(1), pages 95-115, January.
  6. Dhaene, Jan & Goovaerts, Marc, 1996. "Dependency of risks and stop-loss order," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/200183, Katholieke Universiteit Leuven.
  7. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "A Theory of the Term Structure of Interest Rates," Econometrica, Econometric Society, vol. 53(2), pages 385-407, March.
  8. Vanneste, M. & Goovaerts, M. J. & Labie, E., 1994. "The distributions of annuities," Insurance: Mathematics and Economics, Elsevier, vol. 15(1), pages 37-48, October.
  9. Muller, Alfred, 1997. "Stop-loss order for portfolios of dependent risks," Insurance: Mathematics and Economics, Elsevier, vol. 21(3), pages 219-223, December.
Full references (including those not matched with items on IDEAS)

Citations

Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
as in new window

Cited by:
  1. Wei, Gang & Hu, Taizhong, 2002. "Supermodular dependence ordering on a class of multivariate copulas," Statistics & Probability Letters, Elsevier, vol. 57(4), pages 375-385, May.
  2. Dhaene, Jan & Denuit, Michel & Goovaerts, Marc & Kaas, R & Vyncke, D, 2002. "The concept of comonotonicity in actuarial science and finance : theory," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/224320, Katholieke Universiteit Leuven.
  3. Vanduffel, S & Dhaene, Jan & Goovaerts, Marc & Kaas, R, 2002. "The hurdle-race problem," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/224324, Katholieke Universiteit Leuven.
  4. Simon, S. & Goovaerts, M. J. & Dhaene, J., 2000. "An easy computable upper bound for the price of an arithmetic Asian option," Insurance: Mathematics and Economics, Elsevier, vol. 26(2-3), pages 175-183, May.
  5. Kaas, R. & Dhaene, Jan & Vyncke, D. & Goovaerts, Marc & Denuit, M., 2002. "A simple geometric proof that comonotonic risks have the convex-largest sum," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/200098, Katholieke Universiteit Leuven.
  6. Frostig, Esther, 2001. "A comparison between homogeneous and heterogeneous portfolios," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 59-71, August.
  7. Cheung, Ka Chun, 2010. "Comonotonic convex upper bound and majorization," Insurance: Mathematics and Economics, Elsevier, vol. 47(2), pages 154-158, October.
  8. Frostig, Esther, 2001. "Comparison of portfolios which depend on multivariate Bernoulli random variables with fixed marginals," Insurance: Mathematics and Economics, Elsevier, vol. 29(3), pages 319-332, December.
  9. Rogers, L. C. G. & Stummer, Wolfgang, 2000. "Consistent fitting of one-factor models to interest rate data," Insurance: Mathematics and Economics, Elsevier, vol. 27(1), pages 45-63, August.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:ner:leuven:urn:hdl:123456789/101223

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carl Demeyere).

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.