On life insurance reserves in a stochastic mortality and interest rates environment
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- 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.
- 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.
- 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..
- Milevsky, Moshe Arye & Posner, Steven E., 1998. "Asian Options, the Sum of Lognormals, and the Reciprocal Gamma Distribution," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(3), pages 409-422, September.
- Devolder, Pierre, 1986. "Operations Stochastiques de Capitalisation," ASTIN Bulletin, Cambridge University Press, vol. 16(S1), pages 5-30, April.
- Dhaene, Jan, 1989.
"Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes,"
ASTIN Bulletin, Cambridge University Press, vol. 19(S1), pages 43-50, November.
- Dhaene, Jan, 1989. "Stochastic Interest Rates and Autoregressive Integrated Moving Average Processes," ASTIN Bulletin, Cambridge University Press, vol. 19(2), pages 131-138, November.
- Parker, Gary, 1994. "Limiting Distribution of the Present Value of a Portfolio," ASTIN Bulletin, Cambridge University Press, vol. 24(1), pages 47-60, May.
- 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.
- 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.
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Cited by:
- Nolde, Natalia & Parker, Gary, 2014. "Stochastic analysis of life insurance surplus," Insurance: Mathematics and Economics, Elsevier, vol. 56(C), pages 1-13.
- 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.
- 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.
- 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.
- Jarraya, Bilel & Bouri, Abdelfettah, 2013. "A Theoretical Assessment on Optimal Asset Allocations in Insurance Industry," MPRA Paper 53534, University Library of Munich, Germany, revised 2013.
- 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.
- 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.
- 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.
- Matheus R Grasselli & Sebastiano Silla, 2009. "A policyholder's utility indifference valuation model for the guaranteed annuity option," Papers 0908.3196, arXiv.org.
- 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.
- 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.
- 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.
- 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.
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