IDEAS home Printed from https://ideas.repec.org/a/eee/insuma/v25y1999i3p261-280.html
   My bibliography  Save this article

On life insurance reserves in a stochastic mortality and interest rates environment

Author

Listed:
  • Marceau, Etienne
  • Gaillardetz, Patrice

Abstract

No abstract is available for this item.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:insuma:v:25:y:1999:i:3:p:261-280
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-6687(99)00019-0
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. Ragnar Norberg, 1997. "“Stochastic Analysis of the Interaction Between Investment and Insurance Risks”, Gary Parker, April 1997," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(2), pages 75-76.
    2. Gary Parker, 1997. "Stochastic Analysis of the Interaction Between Investment and Insurance Risks," North American Actuarial Journal, Taylor & Francis Journals, vol. 1(2), pages 55-71.
    3. Moshe Arye Milevsky & Steven E. Posner, 1999. "Asian Options, The Sum Of Lognormals, And The Reciprocal Gamma Distribution," World Scientific Book Chapters, in: Marco Avellaneda (ed.), Quantitative Analysis In Financial Markets Collected Papers of the New York University Mathematical Finance Seminar, chapter 7, pages 203-218, World Scientific Publishing Co. Pte. Ltd..
    4. Devolder, Pierre, 1986. "Operations Stochastiques de Capitalisation," ASTIN Bulletin, Cambridge University Press, vol. 16(S1), pages 5-30, April.
    5. Dhaene, Jan, 1989. "Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes," ASTIN Bulletin, Cambridge University Press, vol. 19(S1), pages 43-50, November.
    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. 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.
    8. 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. Nolde, Natalia & Parker, Gary, 2014. "Stochastic analysis of life insurance surplus," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 1-13.
    2. 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.
    3. 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.
    4. 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.
    5. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Methodology and Computing in Applied Probability, Springer, vol. 21(2), pages 423-448, June.
    6. Masahiko Egami & Hideki Iwaki, 2007. "An optimal life insurance policy in the investment-consumption problem in an incomplete market," Papers 0801.0195, arXiv.org, revised May 2011.
    7. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2016. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Working Papers hal-01258645, HAL.
    8. Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
    9. Jennifer L. Wang & H.C. Huang & Sharon S. Yang & Jeffrey T. Tsai, 2010. "An Optimal Product Mix for Hedging Longevity Risk in Life Insurance Companies: The Immunization Theory Approach," Journal of Risk & Insurance, The American Risk and Insurance Association, vol. 77(2), pages 473-497, June.
    10. 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.
    11. 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.
    12. Christophette Blanchet-Scalliet & Diana Dorobantu & Yahia Salhi, 2019. "A Model-Point Approach to Indifference Pricing of Life Insurance Portfolios with Dependent Lives," Post-Print hal-01258645, HAL.

    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. 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.
    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. 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.
    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. 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.
    6. Cairns, Andrew J. G. & Parker, Gary, 1997. "Stochastic pension fund modelling," Insurance: Mathematics and Economics, Elsevier, vol. 21(1), pages 43-79, October.
    7. Nolde, Natalia & Parker, Gary, 2014. "Stochastic analysis of life insurance surplus," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 1-13.
    8. 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.
    9. 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.
    10. 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.
    11. Dinabandhu Bag & Saurabh Goel, 2023. "Weak Form of Call Auction Prices: Simulation Using Monte Carlo Variants," Capital Markets Review, Malaysian Finance Association, vol. 31(1), pages 59-71.
    12. Jean-Yves Datey & Genevieve Gauthier & Jean-Guy Simonato, 2003. "The Performance of Analytical Approximations for the Computation of Asian Quanto-Basket Option Prices," Multinational Finance Journal, Multinational Finance Journal, vol. 7(1-2), pages 55-82, March-Jun.
    13. Ting He, 2020. "Nonparametric Predictive Inference for Asian options," Papers 2008.13082, arXiv.org.
    14. Zdravko I. Botev & Robert Salomone & Daniel Mackinlay, 2019. "Fast and accurate computation of the distribution of sums of dependent log-normals," Annals of Operations Research, Springer, vol. 280(1), pages 19-46, September.
    15. Alessandra Cretarola & Gianna Fig`a-Talamanca & Marco Patacca, 2017. "A sentiment-based model for the BitCoin: theory, estimation and option pricing," Papers 1709.08621, arXiv.org.
    16. Cocozza, R & Di Lorenzo, E & Sibillo, M, 2004. "Methodological problems in solvency assessment of an insurance company," MPRA Paper 27980, University Library of Munich, Germany.
    17. Georges Dionne & Genevieve Gauthier & Nadia Ouertani & Nabil Tahani, 2011. "Heterogeneous Basket Options Pricing Using Analytical Approximations," Multinational Finance Journal, Multinational Finance Journal, vol. 15(1-2), pages 47-85, March - J.
    18. Griselda Deelstra, 2000. "Long-term returns in stochastic interest rate models: applications," ULB Institutional Repository 2013/7590, ULB -- Universite Libre de Bruxelles.
    19. Nielsen, J. Aase & Sandmann, Klaus, 2003. "Pricing Bounds on Asian Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(2), pages 449-473, June.
    20. Cairns, Andrew J. G., 2000. "A discussion of parameter and model uncertainty in insurance," Insurance: Mathematics and Economics, Elsevier, vol. 27(3), pages 313-330, December.

    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:25:y:1999:i:3:p:261-280. 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.