IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v16y1995i3p211-224.html
   My bibliography  Save this article

A second order stochastic differential equation for the force of interest

Author

Listed:
  • Parker, Gary

Abstract

No abstract is available for this item.

Suggested Citation

  • Parker, Gary, 1995. "A second order stochastic differential equation for the force of interest," Insurance: Mathematics and Economics, Elsevier, vol. 16(3), pages 211-224, July.
    • Handle: RePEc:eee:insuma:v:16:y:1995:i:3:p:211-224
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0167-6687(95)00005-D
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Griselda Deelstra & Freddy Delbaen, 1992. "Remarks on the methodology introduced by Goovaerts et al," ULB Institutional Repository 2013/7574, ULB -- Universite Libre de Bruxelles.
    2. Dhaene, Jan, 1989. "Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes," ASTIN Bulletin, Cambridge University Press, vol. 19(S1), pages 43-50, November.
    3. Parker, Gary, 1994. "Two Stochastic Approaches for Discounting Actuarial Functions," ASTIN Bulletin, Cambridge University Press, vol. 24(2), pages 167-181, November.
    4. 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.
    5. 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.
    6. Parker, Gary, 1994. "Limiting Distribution of the Present Value of a Portfolio," ASTIN Bulletin, Cambridge University Press, vol. 24(1), pages 47-60, May.
    7. 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.
    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


    Cited by:

    1. Jozef Kiselak & Philipp Hermann & Milan Stehlik, 2016. "Negative interest rates: why and how?," Papers 1601.02246, arXiv.org.
    2. Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.

    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.
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Griselda Deelstra, 1994. "Remarks on Boundary crossing..," ULB Institutional Repository 2013/7576, ULB -- Universite Libre de Bruxelles.
    8. 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.
    9. Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.
    10. 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.
    11. 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.
    12. 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.
    13. Huang, Hong-Chih & Lee, Yung-Tsung, 2010. "Optimal asset allocation for a general portfolio of life insurance policies," Insurance: Mathematics and Economics, Elsevier, vol. 46(2), pages 271-280, April.
    14. Bilel Jarraya & Abdelfettah Bouri, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," International Journal of Finance & Banking Studies, Center for the Strategic Studies in Business and Finance, vol. 2(4), pages 30-44, October.
    15. Xia Zhao & Bo Zhang, 2012. "Pricing perpetual options with stochastic discount interest rates," Quality & Quantity: International Journal of Methodology, Springer, vol. 46(1), pages 341-349, January.
    16. Koch, Inge & Schepper, Ann De, 2007. "An application of comonotonicity and convex ordering to present values with truncated stochastic interest rates," Insurance: Mathematics and Economics, Elsevier, vol. 40(3), pages 386-402, May.
    17. Constantinos T. Artikis, 2012. "Formulating a Stochastic Discounting Model with Actuarial and Risk Management Applications," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 62(3-4), pages 7-15, July - De.
    18. 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.
    19. 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.
    20. 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.

    More about this item

    Statistics

    Access and download statistics

    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.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.