A second order stochastic differential equation for the force of interest
Author
Abstract
Suggested Citation
Download full text from publisher
As the access to this document is restricted, you may want to
for a different version of it.References listed on IDEAS
- repec:cup:astinb:v:24:y:1994:i:02:p:167-181_00 is not listed on IDEAS
- Beekman, John A. & Fuelling, Clinton P., 1990. "Interest and mortality randomness in some annuities," Insurance: Mathematics and Economics, Elsevier, vol. 9(2-3), pages 185-196, September.
- Deelstra, G. & Delbaen, F., 1992. "Remarks on the methodology introduced by Goovaerts et al," Insurance: Mathematics and Economics, Elsevier, vol. 11(4), pages 295-299, December.
- Griselda Deelstra & Freddy Delbaen, 1992. "Remarks on the methodology introduced by Goovaerts et al," ULB Institutional Repository 2013/7574, ULB -- Universite Libre de Bruxelles.
- repec:cup:astinb:v:19:y:1989:i:02:p:131-138_00 is not listed on IDEAS
- repec:cup:astinb:v:24:y:1994:i:01:p:47-60_00 is not listed on IDEAS
- repec:cup:astinb:v:19:y:1989:i:s1:p:43-50_00 is not listed on IDEAS
- De Schepper, A. & Goovaerts, M., 1992. "Some further results on annuities certain with random interest," Insurance: Mathematics and Economics, Elsevier, vol. 11(4), pages 283-290, December.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.
- Jozef Kiselak & Philipp Hermann & Milan Stehlik, 2016. "Negative interest rates: why and how?," Papers 1601.02246, arXiv.org.
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Tao, Cheng & Rong, Ximin & Zhao, Hui, 2025. "Target benefit pension with longevity risk and stochastic interest rate valuation," Insurance: Mathematics and Economics, Elsevier, vol. 120(C), pages 285-301.
- Griselda Deelstra, 1994. "Remarks on Boundary crossing..," ULB Institutional Repository 2013/7576, ULB -- Universite Libre de Bruxelles.
- De Schepper, Ann & Goovaerts, Marc & Dhaene, Jan & Kaas, Rob & Vyncke, David, 2002.
"Bounds for present value functions with stochastic interest rates and stochastic volatility,"
Insurance: Mathematics and Economics, Elsevier, vol. 31(1), pages 87-103, August.
- DE SCHEPPER, Ann & GOOVAERTS, Marc & DHAENE, Jan & KAAS, Rob & VYNCKE, David, 2001. "Bounds for present value functions with stochastic interest rates and stochastic volatility," Working Papers 2001037, University of Antwerp, Faculty of Business and Economics.
- Chenghsien Tsai & Weiyu Kuo & Derek Mi‐Hsiu Chiang, 2009. "The Distributions of Policy Reserves Considering the Policy‐Year Structures of Surrender Rates and Expense Ratios," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 76(4), pages 909-931, December.
- Tsai, Chenghsien & Kuo, Weiyu & Chen, Wei-Kuang, 2002. "Early surrender and the distribution of policy reserves," Insurance: Mathematics and Economics, Elsevier, vol. 31(3), pages 429-445, December.
- Wang, Nan & Gerrard, Russell & Haberman, Steven, 2004. "The premium and the risk of a life policy in the presence of interest rate fluctuations," Insurance: Mathematics and Economics, Elsevier, vol. 35(3), pages 537-551, December.
- 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.
- Charupat, Narat & Milevsky, Moshe A., 2002. "Optimal asset allocation in life annuities: a note," Insurance: Mathematics and Economics, Elsevier, vol. 30(2), pages 199-209, April.
- Chen, Li & Lin, Luyao & Lu, Yi & Parker, Gary, 2017. "Analysis of survivorship life insurance portfolios with stochastic rates of return," Insurance: Mathematics and Economics, Elsevier, vol. 75(C), pages 16-31.
- Debicka, Joanna, 2003. "Moments of the cash value of future payment streams arising from life insurance contracts," Insurance: Mathematics and Economics, Elsevier, vol. 33(3), pages 533-550, December.
- Marilena Sibillo & Emilia Di Lorenzo & Gerarda Tessitore, 2006. "A stochastic proportional hazard model for the force of mortality," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(7), pages 529-536.
- Marceau, Etienne & Gaillardetz, Patrice, 1999. "On life insurance reserves in a stochastic mortality and interest rates environment," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 261-280, December.
- Perry, David & Stadje, Wolfgang & Yosef, Rami, 2003. "Annuities with controlled random interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 32(2), pages 245-253, April.
- Marcus C. Christiansen, 2013. "Gaussian and Affine Approximation of Stochastic Diffusion Models for Interest and Mortality Rates," Risks, MDPI, vol. 1(3), pages 1-20, October.
- Vanneste, M. & Goovaerts, M. J. & De Schepper, A. & Dhaene, J., 1997. "A straightforward analytical calculation of the distribution of an annuity certain with stochastic interest rate," Insurance: Mathematics and Economics, Elsevier, vol. 20(1), pages 35-41, June.
- Perry, David & Stadje, Wolfgang, 2001. "Function space integration for annuities," Insurance: Mathematics and Economics, Elsevier, vol. 29(1), pages 73-82, August.
- Xia Zhao & Bo Zhang & Zechun Mao, 2007. "Optimal Dividend Payment Strategy under Stochastic Interest Force," Quality & Quantity: International Journal of Methodology, Springer, vol. 41(6), pages 927-936, December.
- Hoedemakers, Tom & Darkiewicz, Grzegorz & Goovaerts, Marc, 2005. "Approximations for life annuity contracts in a stochastic financial environment," Insurance: Mathematics and Economics, Elsevier, vol. 37(2), pages 239-269, October.
- Salvador Cruz Rambaud & Fabrizio Maturo & Ana Maria Sánchez Pérez & Massimo Squillante, 2023. "AnnuityRIR: an R-package to approximate the value of an annuity according to the non-central moments of the capitalization factor," Quality & Quantity: International Journal of Methodology, Springer, vol. 57(3), pages 347-366, October.
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:insuma:v:16:y:1995:i:3:p:211-224. See general information about how to correct material in RePEc.
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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/505554 .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.
Printed from https://ideas.repec.org/a/eee/insuma/v16y1995i3p211-224.html