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題名 投資型人壽保險於脫退模型下之風險價差
Risk bearing spreads of unit liked life insurance incorporating lapse rate modeling
作者 吳湘媛
貢獻者 張士傑
吳湘媛
關鍵詞 附保證年金型投資商品
脫退因素
隨機波動模型
guaranteed annuity-type investment products
lapse rates
withdrawal rates
日期 2010
上傳時間 29-Sep-2011 16:53:34 (UTC+8)
摘要 本文針對附保證年金型投資商品進行評價,其中被保險人脫退因素除受到死亡解約因素之外,對經濟環境影響因素產生解約問題,如利率攀升、經濟成長率、失業率等亦須考慮。附保證年金型投資商品公帄價值為保險公司販賣投資型年金商品須對負債面進行評價,以確保被保險人之權益,保險商品價值除因投資市場環境變動造成投資商品價值累積變動之外,對於被保險人因應市場環境轉變造成脫退問題亦影響保險公司對於投資型商品準備金價值評估,本篇依照Kolkiewicz & Tan(2006)之研究,假設附保證年金型投資商品評價方式,除投資標的受到市場變動影響外,對於經濟環境變動造成被保險人解約狀況亦考慮於核保模型中,因脫退因素考慮層面過廣,故本篇主要以死亡、經濟環境變動劇烈與利率上升導致解約因素為主要考慮狀態。
本研究推導之模型主要得出下列結果:(1)附保證年金型商品的公帄價格以保險年期的影響最大,其次為風險性資本市場長期帄均波動,而死亡率影響附保證投資年金型商品主要由風險性資本市場價值決定。(2)契約初始為主要解約期間,當解約力持續增加至一定值,契約後期解約率將趨於帄坦,本研究推估契約前期經濟市場波動易造成被保險人解約狀況,故解約程度增加。(3)主要投資型商品風險價差問題影響因素為長期市場波動程度,因風險價差之衡量主要考慮風險因子變動因素導致與公帄價值或期初保費差距,依照模型假設變動因子以風險性資產價值波動程度影響最巨,其次為保險期間,因此歸納出風險價差因子主要變動來源為風險性資產價值。
In this paper, the goal is to evaluate fair value of guaranteed annuity-type investment products. In addition to death factors, the insured terminate by other reasons, such as interest rates raising, economic growth rate, and unemployment rate. Accordance with the liabilities side, the reserve of guaranteed annuity-type investment products must match it’s fair value. There is a question how to accurately evaluate fair value of guaranteed annuity-type investment products. The price of guaranteed annuity-type investment products is affected by two parts. One is cumulative index price change in value of investment goods, the other one is withdrawal rates. Kolkiewicz & Tan’s research assume guaranteed annuity-type investment products evaluation methods which is affected by market environment and termination status of the insured.
The results show that (1) The major impact on fair value of guaranteed annuity-type investment products is mainly from the period of the insurance contracts. The secondary effect is long-term average risk capital market volatility. (2) The main terminate time is the beginning of the contracts. When the lapse rates continued to increase to a certain value, lapse rate tends to smooth.(3) The major impact on risk spread of guaranteed annuity-type investment products is mainly from long-term market volatility. To sum up, the major changes in sources of risk spreads factor are from asset value.
參考文獻 Brennan, M. J., & Schwartz, E. S. (1976). The pricing of equity-linked life insurance policies with an asset value guarantee. Journal of Financial Economics, 3(3), 195-213.
Chang, M. C., & Jiang, S.-j. (2010). Surrender effects on policy reserves: a simulation analysis of investment guarantee contracts. Global Journal of Business Research, Vol. 4, No. 4, pp. 11-21, 2010.
Coleman, T. F., Levchenkov, D., & Li, Y. (2007). Discrete hedging of American-type options using local risk minimization. Journal of Banking & Finance, 31(11).
Föllmer, H., & Schweizer, M. (1988). Hedging by sequential regression: An introduction to the mathematics of option trading. ASTIN Bulletin, 18(2), 147-160.
Föllmer, H., & Sondermann, D. (1985). Hedging of non-redundant contingent claims. [Discussion Paper Serie B].
Hardy, M. (2003). Investment guarantees: modeling and risk management for equity-linked life insurance: John Wiley & Sons.
Kim, C. (2005). Modeling surrender and lapse rates with economic variables. North American Actuarial Journal, 9(4), 56-70.
Kolkiewicz, A. W., & Tan, K. S. (2006). Unit-linked life insurance contracts with lapse rates dependent on economic factors. Annals of Actuarial Science, 1, 49-78.
Møller, T. (1998). Risk-minimizing hedging strategies for unit-linked life insurance contracts. ASTIN Bulletin, 28(1), 17-47.
Mercurio, F. (2001). Claim pricing and hedging under market incompleteness and "mean-variance" preferences. European Journal of Operational Research, 133(3), 635-652.
Schal, M. (1994). On quadratic cost criteria for option hedging. Mathematics of Operations Research, 19(1), 121-131.
Schweizer, M. (1988). Hedging of options in a general semimartingale mode. [Ph.D. dissertation].
Schweizer, M. (1991). Option hedging for semimartingales. Stochastic Processes and their Applications, 37, 339-363.
Schweizer, M. (1994a). Risk-minimizing medging strategies under restricted information. Mathematical Finance, 4, 327-342.
Schweizer, M. (1995b). On the Minimal Martingale Measure and the Föllmer-Schweizer Decomposition. Stochastic Analysis and Applications, 13, 573-599.
Schweizer, M., & Föllmer, H. (1988). Hedging by Sequential Regression: an Introduction to the Mathematics of Option Trading. ASTIN Bulletin, 18(2), 147-160.
描述 碩士
國立政治大學
風險管理與保險研究所
98358022
99
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0098358022
資料類型 thesis
dc.contributor.advisor 張士傑zh_TW
dc.contributor.author (Authors) 吳湘媛zh_TW
dc.creator (作者) 吳湘媛zh_TW
dc.date (日期) 2010en_US
dc.date.accessioned 29-Sep-2011 16:53:34 (UTC+8)-
dc.date.available 29-Sep-2011 16:53:34 (UTC+8)-
dc.date.issued (上傳時間) 29-Sep-2011 16:53:34 (UTC+8)-
dc.identifier (Other Identifiers) G0098358022en_US
dc.identifier.uri (URI) http://nccur.lib.nccu.edu.tw/handle/140.119/50860-
dc.description (描述) 碩士zh_TW
dc.description (描述) 國立政治大學zh_TW
dc.description (描述) 風險管理與保險研究所zh_TW
dc.description (描述) 98358022zh_TW
dc.description (描述) 99zh_TW
dc.description.abstract (摘要) 本文針對附保證年金型投資商品進行評價,其中被保險人脫退因素除受到死亡解約因素之外,對經濟環境影響因素產生解約問題,如利率攀升、經濟成長率、失業率等亦須考慮。附保證年金型投資商品公帄價值為保險公司販賣投資型年金商品須對負債面進行評價,以確保被保險人之權益,保險商品價值除因投資市場環境變動造成投資商品價值累積變動之外,對於被保險人因應市場環境轉變造成脫退問題亦影響保險公司對於投資型商品準備金價值評估,本篇依照Kolkiewicz & Tan(2006)之研究,假設附保證年金型投資商品評價方式,除投資標的受到市場變動影響外,對於經濟環境變動造成被保險人解約狀況亦考慮於核保模型中,因脫退因素考慮層面過廣,故本篇主要以死亡、經濟環境變動劇烈與利率上升導致解約因素為主要考慮狀態。
本研究推導之模型主要得出下列結果:(1)附保證年金型商品的公帄價格以保險年期的影響最大,其次為風險性資本市場長期帄均波動,而死亡率影響附保證投資年金型商品主要由風險性資本市場價值決定。(2)契約初始為主要解約期間,當解約力持續增加至一定值,契約後期解約率將趨於帄坦,本研究推估契約前期經濟市場波動易造成被保險人解約狀況,故解約程度增加。(3)主要投資型商品風險價差問題影響因素為長期市場波動程度,因風險價差之衡量主要考慮風險因子變動因素導致與公帄價值或期初保費差距,依照模型假設變動因子以風險性資產價值波動程度影響最巨,其次為保險期間,因此歸納出風險價差因子主要變動來源為風險性資產價值。
zh_TW
dc.description.abstract (摘要) In this paper, the goal is to evaluate fair value of guaranteed annuity-type investment products. In addition to death factors, the insured terminate by other reasons, such as interest rates raising, economic growth rate, and unemployment rate. Accordance with the liabilities side, the reserve of guaranteed annuity-type investment products must match it’s fair value. There is a question how to accurately evaluate fair value of guaranteed annuity-type investment products. The price of guaranteed annuity-type investment products is affected by two parts. One is cumulative index price change in value of investment goods, the other one is withdrawal rates. Kolkiewicz & Tan’s research assume guaranteed annuity-type investment products evaluation methods which is affected by market environment and termination status of the insured.
The results show that (1) The major impact on fair value of guaranteed annuity-type investment products is mainly from the period of the insurance contracts. The secondary effect is long-term average risk capital market volatility. (2) The main terminate time is the beginning of the contracts. When the lapse rates continued to increase to a certain value, lapse rate tends to smooth.(3) The major impact on risk spread of guaranteed annuity-type investment products is mainly from long-term market volatility. To sum up, the major changes in sources of risk spreads factor are from asset value.
en_US
dc.description.tableofcontents 第一章 緒論............................................................................................................ 1
第一節 研究問題與背景................................................................................ 1
第二節 研究目的與架構................................................................................ 4
第二章 文獻探討.................................................................................................... 6
第一節 投資型商品........................................................................................ 6
第二節 投資型商品與解約率關係................................................................ 9
第三節 風險評價與均變異數準則.............................................................. 14
第三章 研究方法.................................................................................................. 22
第一節 模型背景.......................................................................................... 22
第二節 模型架構.......................................................................................... 28
第四章 研究結果.................................................................................................. 35
第一節 投資型商品與情境假設.................................................................. 35
第二節 投資型商品公帄價值與風險變異價差表示.................................. 37
第三節 模擬結果解釋.................................................................................. 43
第五章 結論與建議.............................................................................................. 46
參考資料...................................................................................................................... 49
zh_TW
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0098358022en_US
dc.subject (關鍵詞) 附保證年金型投資商品zh_TW
dc.subject (關鍵詞) 脫退因素zh_TW
dc.subject (關鍵詞) 隨機波動模型zh_TW
dc.subject (關鍵詞) guaranteed annuity-type investment productsen_US
dc.subject (關鍵詞) lapse ratesen_US
dc.subject (關鍵詞) withdrawal ratesen_US
dc.title (題名) 投資型人壽保險於脫退模型下之風險價差zh_TW
dc.title (題名) Risk bearing spreads of unit liked life insurance incorporating lapse rate modelingen_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Brennan, M. J., & Schwartz, E. S. (1976). The pricing of equity-linked life insurance policies with an asset value guarantee. Journal of Financial Economics, 3(3), 195-213.zh_TW
dc.relation.reference (參考文獻) Chang, M. C., & Jiang, S.-j. (2010). Surrender effects on policy reserves: a simulation analysis of investment guarantee contracts. Global Journal of Business Research, Vol. 4, No. 4, pp. 11-21, 2010.zh_TW
dc.relation.reference (參考文獻) Coleman, T. F., Levchenkov, D., & Li, Y. (2007). Discrete hedging of American-type options using local risk minimization. Journal of Banking & Finance, 31(11).zh_TW
dc.relation.reference (參考文獻) Föllmer, H., & Schweizer, M. (1988). Hedging by sequential regression: An introduction to the mathematics of option trading. ASTIN Bulletin, 18(2), 147-160.zh_TW
dc.relation.reference (參考文獻) Föllmer, H., & Sondermann, D. (1985). Hedging of non-redundant contingent claims. [Discussion Paper Serie B].zh_TW
dc.relation.reference (參考文獻) Hardy, M. (2003). Investment guarantees: modeling and risk management for equity-linked life insurance: John Wiley & Sons.zh_TW
dc.relation.reference (參考文獻) Kim, C. (2005). Modeling surrender and lapse rates with economic variables. North American Actuarial Journal, 9(4), 56-70.zh_TW
dc.relation.reference (參考文獻) Kolkiewicz, A. W., & Tan, K. S. (2006). Unit-linked life insurance contracts with lapse rates dependent on economic factors. Annals of Actuarial Science, 1, 49-78.zh_TW
dc.relation.reference (參考文獻) Møller, T. (1998). Risk-minimizing hedging strategies for unit-linked life insurance contracts. ASTIN Bulletin, 28(1), 17-47.zh_TW
dc.relation.reference (參考文獻) Mercurio, F. (2001). Claim pricing and hedging under market incompleteness and "mean-variance" preferences. European Journal of Operational Research, 133(3), 635-652.zh_TW
dc.relation.reference (參考文獻) Schal, M. (1994). On quadratic cost criteria for option hedging. Mathematics of Operations Research, 19(1), 121-131.zh_TW
dc.relation.reference (參考文獻) Schweizer, M. (1988). Hedging of options in a general semimartingale mode. [Ph.D. dissertation].zh_TW
dc.relation.reference (參考文獻) Schweizer, M. (1991). Option hedging for semimartingales. Stochastic Processes and their Applications, 37, 339-363.zh_TW
dc.relation.reference (參考文獻) Schweizer, M. (1994a). Risk-minimizing medging strategies under restricted information. Mathematical Finance, 4, 327-342.zh_TW
dc.relation.reference (參考文獻) Schweizer, M. (1995b). On the Minimal Martingale Measure and the Föllmer-Schweizer Decomposition. Stochastic Analysis and Applications, 13, 573-599.zh_TW
dc.relation.reference (參考文獻) Schweizer, M., & Föllmer, H. (1988). Hedging by Sequential Regression: an Introduction to the Mathematics of Option Trading. ASTIN Bulletin, 18(2), 147-160.zh_TW