题名

從保險資本資產定價模式推估車險模糊損失率之分析

并列篇名

Fuzzy Loss Ratio in Fuzzy Insurance Capital Asset Pricing Model-Automobile Physical Damage Insurance

DOI

10.29836/LMR.200704.0004

作者

賴麗華(Li-Hua Lai);盧雋翔(Chun-Hsiang Lu)

关键词

核保邊際利潤率 ; 預期損失率 ; 模糊排序 ; Underwriting Profit Margin ; Expected Loss Ratio ; Fuzzy Ranking

期刊名称

運籌管理評論

卷期/出版年月

2卷1期(2007 / 04 / 01)

页次

27 - 36

内容语文

繁體中文

中文摘要

運籌營運供給鏈的不確定,同時亦衝擊產物保險產業的汽車保險的損失率高低。本文建構模糊保險資本資產定價模式並應用模糊分析法,主要探討與中較產險產業模糊損失率。結果發現國內產險公司的模糊損失率均超過預期損失率,各產險公司自留損失率與模糊自留損失率之排序有所差異;同時,決策者對風險的態度將左右了模糊損失率的推估,直接影響釐定車險保險價格的水準。

英文摘要

In industry, especially those activities moving towards longer transportation chains and facing increasingly uncertain, the issue of loss ratio sharing under the automobile physical damage is an important topic. Thin study constructs evidence linking insurance capital asset pricing model and fuzzy analysis, which be useful to evaluate the lost ratio of the automobile physical damage from Taiwan's data. Oar results show that the fuzzy lost ratio is higher than the expected loan ratio in the automobile physical damage. We determine the rank levels therein and find that the retained loan ratios and fuzzy loss ration in each insurer are different. It is found that the fuzzy qualitative of loss ratio does depend on the evaluator's attitude. These results also have directly effects on the determining insurance cost.

主题分类 社會科學 > 經濟學
社會科學 > 管理學
参考文献
  1. Bector, C. R.,Bhatt, S. K.,Appadoo, S.S.(2003).Capital Asset Pricing Model under Fuzzy Information.ASAC Conference, Nova Scotia
  2. Biger, N.,Kahane, Y.(1978).Risk Considerations in Insurance Ratemaking.Journal of Risk and Insurance,45(1),121-132.
  3. Blaine, N.,Jane, N.(1995).Underwriting Profit Margin for Insurance under CAPM.Stanford Consulting Group, Inc..
  4. Buckley, J. J.(1990).Solving Linear and Quadratic Fuzzy Equations.Fuzzy Sets and Systems,38(1),43-59.
  5. Chen, S. H.(1985).Ranking Fuzzy Numbers with Maximizing Set and Minimizing Set.Fuzzy Sets and Systems,17(2),113-129.
  6. Chen, S. J.,Hwang, C. L.(1992).Fuzzy Multiple Attribute Decision Making: Methods and Applications.New York:Springer.
  7. Cox, L. A.,Griepentrog, G. L.(1988).Systematic Risk, Unsystematic Risk and Property-Liability Rate Regulation.Journal of Risk and Insurance,55,606-627.
  8. Cummins, J. D.(1991).Statistical and Financial Models of Insurance Pricing and the Insurance Finn.Journal of Risk and Insurance,58(2),261-302.
  9. Cummins, J. D.,Harrington, S. E.(1985).Property-Liability Insurance Rate Regulation: Estimation of Underwriting Betas Using Quarterly Profit Data.Journal of Risk and Insurance,52,16-43.
  10. Cummins, J. D.,Phillips, R. D.(1999).Applications of Financial Pricing Models in Property-Liability Insurance-Working Paper.
  11. Cummins, J. D,Derrig, R. A.(1997).Fuzzy Financial Pricing of Property-Liability Insurance.North American Actuarial Journal,1(4),21-40.
  12. D''Arcy, S. P.,Garven, J. R.(1990).Property-Liability Insurance Pricing Models: An Empirical Evaluation.Journal of Risk and Insurance,57(3),391-430.
  13. D''Arcy, S. P.,Gorvett, R.W.(1998).Comparison of Casualty Insurance Financial Pricing models.Proceeding of the Casualty Actuarial Society,85,1-88.
  14. Fairley, W. B.(1979).Investment Income and Profit Margins in Property Liability Insurance: Theory and Empirical Results.Bell Journal of Economics,10(1),192-210.
  15. Ferrari, J. R.(1968).The Relationship of Underwriting, Investment, Leverage, and Exposure to Total Return on Owners' Equity.Proceeding of the Casualty Actuarial Society,55,295-302.
  16. Heilpern, S.(1992).The expected value of a fuzzy number.Fuzzy Sets and Systems,47(1),81-86.
  17. Hill, R. D.(1979).Profit Regulation in Property-Liability Insurance.Bell Journal of Economics,10,172-191.
  18. Hill, R. D.,Modigliani, F.,Cummins, J. D. (eds.),Harrington, S. A. (eds.)(1981).The Massachusetts Model of Profit Regulation in Non-life Insurance: An Appraisal and Extensions.Fair Rate of Return in Property-Liability Insurance.
  19. Jain, R.(1977).A Procedure for Multiple Aspect Decision Making Using Fuzzy Sets.International Journal of System Science,8,1-7.
  20. Jain, R.(1976).Decision Making in the Presence of Fuzzy Variable.IEEE Trans. Syst. Man Cybernet.,6,698-703.
  21. Kahane, Y.(1979).The Theory of Insurance Risk Premiums-A Re-Examination in the Light of Recent Developments in Capital Market Theory.ASTIN Bulletin,10,223-239.
  22. Kevin, J. O.(2001).Surplus Allocation: A DFA Application.Forum of the Casualty Actuarial Society.
  23. Kraus, A.,Ross S.(1982).The Determination of Fair Profits for the Property-Liability Insurance Firm.Journal of Finance,33,1015-1028.
  24. Lai, L.H.(2006).Underwriting Profit Margin of P/L Insurance in the Fuzzy-ICAPM.Geneva Risk and Insurance Review,31,23-34.
  25. Leng, C.C.,Meier, U.B.(2002).Analysis of Multi-National Underwriting Cycles in Property-Liability Insurance.29th Seminar of the Europcan Group of Risk and Insurance Economists, the Huebner Foundation and Geneva Association.
  26. Liou, T.S.,Wang, M.J.(1992).Ranking Fuzzy Numbers with Integral value.Fuzzy Sets and systems,50,247-255.
  27. Troxel, T.E.,Bouchie, G.E.(1995).Property Liability Insurance Accounting and Finance.American Institute for CPCU.
  28. Urrutia, J.L.(1986).The Capital Asset Pricing Model and the Determination of Fair Underwriting Returns for the Property-Liability Insurance Industry.Geneva Papers on Risk and Insurance,11,44-60.
  29. Zadeh, L.A.(1965).Information and Control.
  30. Zhu, Q.,Lee, E.S.,Kacprzyk J. (eds.),Fedrizi, M. (eds.)(1992).Fuzzy Regression Analysis.Heidelberg:Omnitech Press, Warsaw and Physica Verlag.
  31. 吳佳曄(2000)。碩士論文(碩士論文)。逢甲大學統計與精算研究所。
  32. 凌氤寶(1997)。台灣產物保險業最適資本及盈餘之研究。保險專利,47,50-62。
  33. 凌氤寶(1996)。產物保險費率自由化的監理政策。保險專利,45,31-55。
  34. 陳玟琪(1997)。碩士論文(碩士論文)。國立台灣大學財務金融研究所。
  35. 黃清榮(1999)。碩士論文(碩士論文)。逢甲大學統計與精算研究所。
  36. 劉文菁(2002)。碩士論文(碩士論文)。國立高雄第一科技大學風險管理與保險研究所。
  37. 蔡裕琪(2003)。碩士論文(碩士論文)。朝陽科技大學保險金融管理研究所。
  38. 盧雋翔、賴麗華(2005)。車體損失險模糊系統風險之研究。第十三屆全國模糊理論與其應用研討會論文集
  39. 賴麗華(2005)。The Fuzzy Underwriting Systematic Risk of P/L Insurance in the Fuzzy-ICAPM。第十三屆全國模糊理論與其應用研討會論文集