Document Type : Research Article
Authors
1 Insurance research center, Tehran, Iran
2 Department of Economic, Faculty of Social and Economics, Alzahra University, Tehran, Iran.
Abstract
In this article, fuzzy random variables are used to model interest rate uncertainty used in the calculation of whole life insurance premiums, and calculate the effect of this uncertainty on the price of life settlements. The fuzzy results obtained from deterministic and probabilistic pricing approaches have been compared with the results of the stochastic approach. Also, the results have been analyzed for Iran life table, which has been issued to insurance companies since 1400, and for France life table, which was previously used by insurance companies. In addition, since 5-year survival probability for each cancers in Iran was lower than in the United States, the probability adjustment coefficient for Iran was higher than that of the United States. In addition, the interval obtained for the fuzzy probability price and the stochastic price for both Iran and France life tables are close to each other. But in most cases, the fuzzy price obtained based on the deterministic approach has a significant distance from the stochastic and fuzzy probability approaches. Also, the findings of the research indicate that the price calculated using the fuzzy deterministic approach for Iran life table is higher than France life table. While the results for fuzzy probabilistic approach and stochastic approach are completely opposite. In the other words, the price calculated for the Iran life table is lower than the France life table. This difference comes from the fact that the adjustment coefficients for these life tables are calculated for each person separately from related life tables.
Keywords
of Insurance Research, 37(1) (2022), pp. 43-78.
[2] M. Aalaei, The Impact of Using Iranian Life Table on Standard and Modified Premium of
Various Life Insurance Products, Journal of Population Association of Iran, 17(33) (2022),
pp. 159-177. (In Persian)
[3] M. Aalaei, Pricing life settlements in the secondary market using fuzzy internal rate of
return, J. Math. Model. Financ. 2 (2) (2022), pp. 53-62.
[4] M. Aalaei, E. Safarzadeh, k. Ebrahimnejad, Life Settlements Pricing in Irans Secondary
Market Using Deterministic, Probabilistic, and Stochastic Approaches, Financial Research
Journal, 25 (2), pp. 255-274. (In Persian)
[5] American Cancer Society, Survival Rates for Laryngeal and Hypopharyngeal Cancers,
(2023).
[6] V. Dedes, How to determine fair value for life insurance policies in a secondary market,
(2011).
[7] D. C. M. Dickson, M. R. Hardy and H. R. Waters, Actuarial mathematics for life contingent risks, Cambridge university press, Third edition, (2020).
[8] N. A. Doherty and H. J. Singer, The benefits of a secondary market for life insurance
policies, Real Property, Probate and Trust Journal, 38 (2003), pp. 449-478.
[9] H. G. Ingraham and S. S. Salani, Life settlements as a viable option, Journal of Financial
Service Professionals, 58(5) (2004), pp. 72-76.
[10] A. Komijani, S. Mohammadi, M. Kousheshi and L. Niakan, Life annuity pricing based on
fuzzy technical interest rates, Iran. J. insur. Res., 3(4) (2014), pp. 33-60. (In Persian)
[11] S. Nemati, S., E. Saeedi, F. Lotfi, A. Nahvijou, E. Mohebbi, Z. Ravankhah, A. Rezaeianzadeh, M. Yaghoobi-Ashrafi, H. Pirnejad, A. Golpazir, R. Dolatkhah, S. Alvand,
S.V. Ahmadi-Tabatabaei, M. Cheraghi, E. Weiderpass, F. Bray, M.P. Coleman, A.
Etemadi, A. Khosravi, F. Najafi, M.A. Mohagheghi, G. Roshandel, R. Malekzadeh,K.
Zendehdel, National surveillance of cancer survival in Iran (IRANCANSURV): Analysis
of data of 15 cancer sites from nine populationbased cancer registries, International Journal
of Cancer, 151(12) (2022), pp. 2128-2135.
[12] J.A. Sanchez, Fuzzy Claim Reserving In Non-Life Insurance, Computer Science and Information Systems, 11(2) (2014), pp. 825838.
[13] J.A. Sanchez and L.G. Puchades, Life settlements: descriptive analysis and quantitative
aspects, Management Letters, 21(2) (2021), pp. 19-34. (In Spain)
[14] J.A. Sanchez, L.G. Puchades and A. Zhang, Incorporating Fuzzy Information in Pricing
Substandard Annuities, Computers Industrial Engineering, 145 (2020), pp. 106475.
[15] J.A. Sanchez and L.G. Puchades, Life settlement pricing with fuzzy parameters, Applied
Soft Computing Journal, 148 (2023), pp. 110924.
[16] J. Xu, Dating death: An empirical comparison of medical underwriters in the US life settlements market, North American Actuarial Journal, 24(1) (2020), pp. 36-56.
[17] D. Wang, A net premium model for life insurance under a sort of generalized uncertain
interest rates, In uncertainty model ling in data science, (2019), pp. 224-232.
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