Abstract
In this paper, some basic concepts of uncertainty theory are introduced and arithmetic of the trapezoidal fuzzy variable are discussed. Next, we establish the discrete-life-insurance model with the uncertain interest rates which is descripted by the trapezoidal fuzzy variable, moreover, the formulas of level-net-premium and reserve are gained. At last, an example is presented to illustrate the application of the model.
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References
Beekman, J.A., Fuelling, c.p.: Interest and mortality randomness in some annuities. Insurance: Mathematics Economics 9, 185–196 (1990)
Beekman, J.A., Fuelling, c.p.: Extra randomness in certain annuity models. Insurance: Mathematics Economics 10, 275–287 (1991)
De Scheppe: Interest randomness in annuities certain. Insurance: Mathematics Economics 11, 271–281 (1992)
Wenjiong, H., Qingrong, J.: Increasing life insurance with interest randomness. Applied Mathematics a Journal of Chinese Universities 13(2), 145–152 (1998)
Wu, X.w., Xie, C.: Evolution of Common Structure of Continuous-Time Interest Rate Models and a New Development. Applied Mathematics a Journal of Chinese Universities 13(2), 145–152 (1998)
Lijuan, W., Deli, Y.: Increasing Life Insurance Model under Random Rates of Interest. Or Transactions 10(4), 39–48 (2006)
Liu, B., Liu, Y.K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Trancactions on Fuzzy System 10(4), 445–450 (2002)
Liu, B.: A survey of credibility theory. Fuzzy Optimization And Decision Making 5(4), 387–408 (2006)
Liu, B.: Uncertainty Theory. TsingHua University Press, Beijing (2005)
Yan, W.-Z.: Decision-making of Loan Portfolio Optimization with Fuzzy Return Rates. Journal of Systems Engineering 4(2), 168–173 (2008)
Gaillardetz, P.: Valuation of life insurance products under stochastic interest rates. Insurance: Mathematics and Economics 42, 212–226 (2008)
Gaillardetz, P., Lin, P., Sheldon, X.: Valuation of equity-linked insurance and annuity products with binomial models. North American Actuarial Journal 10(4), 117–144 (2006)
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Gao, Jg., Zhao, Xy., Zhao, Mq. (2009). The Life Insurance Model under Fuzzy Rates of Interest. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_172
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DOI: https://doi.org/10.1007/978-3-642-03664-4_172
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03663-7
Online ISBN: 978-3-642-03664-4
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