學術產出-學位論文

題名 附保證給付投資型商品之收費定價
A Framework to Charge for Unit-linked Contracts when Considering Guaranteed Risk
作者 李永琮 
貢獻者 黃泓智<br>楊曉文
<br>
李永琮 
關鍵詞 投資型商品
收費
隨機現金流量
Unit-linked policy
Charging
Stochastic cash flows
日期 2003
上傳時間 2009-09-18
摘要 保險人發行投資型商品之收費主要來自於基金管理費用。本研究旨在提供一個架構,以作為此基金管理費用定價之依據。在此一架構下,保險人提撥準備金以因應附保證給付所帶來的風險;並可區分因保證給付所衍生之收費以及非因保證給付所衍生之收費。
簡單的說,我們的步驟如下:首先模擬未來的投資報酬率,藉以建構保險人發行投資型商品之現金流量分配。其次,在既定的內部報酬率(Internal Rate of Return)以及規範之準備金提存標準下,計算相對應之費率。
在本研究中,我們提供以滿期保證給付為例之相關數值結果。任何保證形態之投資型商品其基金管理費用皆可依此架構定價。
This paper proposes a framework to charge for unit-linked contracts when considering guaranteed risk. The charge is determined by two criteria of meeting the target internal rate of return and simultaneously reserving standard. The framework is built on the stochastic cash-flow analysis. Thus, we first model the cash flow for unit-linked contracts by means of simulation, using a stochastic model for future dynamics of the rate of return. In the cash flow model, we consider the reserves for the guaranteed risk. The reserving standard for the guaranteed risk is based on quantile risk measure. In our framework, we work out the charges in reverse.

For illustrative purposes, we investigate a unit-linked policy with maturity guarantees. However, our framework would apply to other types of contacts and guarantees. Some sensitivity analyses are also carried out in this research.
參考文獻 Boyle, P. P., and Schwartz, E. S. (1977): ”Equilibrium Prices of Guarantees under Equity-Linked Contracts” Journal of Risk and Insurance 44(4): 639-660.
Boyle, P. P., and Hardy, M. R. (1997): ”Reserving for Maturity Guarantees: Two approaches” Insurance: Mathematics and Economics 21:113-127.
Boyle, P. P., and Hardy, M. R. (2003): “Guaranteed Annuity Options”, Astin Bulletin, 33, 2, 125-152.
Brennan, M.J., and Schwartz, E. S. (1976): ”The Pricing of Equity-Linked Life Insurance Policies with an Asset Value Guarantee” Journal of Financial Economics 3: 195-213.
Grosen, A. and J&oslash;rgensen, P.L. (2000): ”Fair Valuation of Life Insurance Liabilities: The Impact of Interest Rate Guarantees, Surrender Options, and Bonus Policies” Insurance: Mathematics and Economics, 26, 37-57
Hansen, M and K. R. Miltersen (2002): “Minimum Rate of Return Guarantees: The Danish Case” Scandinavian Actuarial Journal, 4, 280-318.
Hardy, M. R. (2000): ”Hedging and Reserving for Single-Premium Segregated Fund Contracts” North American Actuarial Journal, 4, 2, 63-74.
Hardy, M. R. (2003): Investment Guarantees: The Science Modeling and Risk Management for Equity-Linked Life Insurance, Wiley.
Hare D .J. P., Dickson J. A., Mcdade P. A. P., Morrison D., Priestley R. P. and Wilson G. J. (1999): “A market-based approach to pricing with-profits guarantees” Presented to the Faculty of Actuaries.
Maturity Guarantees Working Party (MGWP) (1980): ”Report of the Maturity Guarantees Working Party” Journal of the Institute of Actuaries, 107, 102-212.
Miltersen, K.R. and Persson, S. -A. (1999): “Pricing Rate of Return Guarantees in a Health-Jarrow-Morton Framework” Insurance: Mathematics and Economics, 25(3), 307-325.
Pelsser, A. (2002): “Pricing and Hedging Guaranteed Annuity Options via Static option Replication” Working Paper, Erasmus University at Rotterdam, Netherlands.
Persson, S. -A. and Aase, K.K. (1997): ”Valuation of the Minimum Guaranteed Return Embedded in Life Insurance Contracts” Journal of Risk and Insurance, 64, 4, 599-617.
Wilkie, A.D., (1986): “A Stochastic Investment Model for Actuarial use” Transactions of the Faculty of Actuaries 39:341-391.
Wilkie, A.D., (1995): “More on a Stochastic Asset Model for Actuarial Use” British Actuarial Journal 1(V):777-964.
Wilkie, A.D., Waters, H. R., and Yang, S. (2003): “Reserving, Pricing and Hedging for Policies with Guaranteed Annuity Options” British Actuarial Journal, Vol. 9, 2, 263-391.
Wirch, J.L. and Hardy, M. R.(1999), “A synthesis of risk measures for capital adequacy”, Insurance: Mathematics and Economics, 25:337-347
描述 碩士
國立政治大學
風險管理與保險研究所
91358023
92
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0091358023
資料類型 thesis
dc.contributor.advisor 黃泓智<br>楊曉文zh_TW
dc.contributor.advisor <br>en_US
dc.contributor.author (作者) 李永琮 zh_TW
dc.creator (作者) 李永琮 zh_TW
dc.date (日期) 2003en_US
dc.date.accessioned 2009-09-18-
dc.date.available 2009-09-18-
dc.date.issued (上傳時間) 2009-09-18-
dc.identifier (其他 識別碼) G0091358023en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/34120-
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) 91358023zh_TW
dc.description (描述) 92zh_TW
dc.description.abstract (摘要) 保險人發行投資型商品之收費主要來自於基金管理費用。本研究旨在提供一個架構,以作為此基金管理費用定價之依據。在此一架構下,保險人提撥準備金以因應附保證給付所帶來的風險;並可區分因保證給付所衍生之收費以及非因保證給付所衍生之收費。
簡單的說,我們的步驟如下:首先模擬未來的投資報酬率,藉以建構保險人發行投資型商品之現金流量分配。其次,在既定的內部報酬率(Internal Rate of Return)以及規範之準備金提存標準下,計算相對應之費率。
在本研究中,我們提供以滿期保證給付為例之相關數值結果。任何保證形態之投資型商品其基金管理費用皆可依此架構定價。
zh_TW
dc.description.abstract (摘要) This paper proposes a framework to charge for unit-linked contracts when considering guaranteed risk. The charge is determined by two criteria of meeting the target internal rate of return and simultaneously reserving standard. The framework is built on the stochastic cash-flow analysis. Thus, we first model the cash flow for unit-linked contracts by means of simulation, using a stochastic model for future dynamics of the rate of return. In the cash flow model, we consider the reserves for the guaranteed risk. The reserving standard for the guaranteed risk is based on quantile risk measure. In our framework, we work out the charges in reverse.

For illustrative purposes, we investigate a unit-linked policy with maturity guarantees. However, our framework would apply to other types of contacts and guarantees. Some sensitivity analyses are also carried out in this research.
en_US
dc.description.tableofcontents 1. Introduction 1

2. Profit Testing of Unit-linked Contracts 4
2.1 Assumptions and Notation 4
2.2 Cash Flows 5
2.3 Profit Measures 7

3. A framework of charging for Unit-linked contracts when considering guaranteed risk 7
3.1 Optimal charging criteria 7
3.2 The procedure of our framework 11

4. Numerical Illustration 13

5. Sensitivity Analysis 18
5.1 The sensitivity of reserving standards 18
5.2 The investment return of sterling fund and the target profitability 21
5.3 The impact of policy period 23
5.4 The optimal investment proportion of sterling fund 24

6. Conclusion 25

References 27
zh_TW
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dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0091358023en_US
dc.subject (關鍵詞) 投資型商品zh_TW
dc.subject (關鍵詞) 收費zh_TW
dc.subject (關鍵詞) 隨機現金流量zh_TW
dc.subject (關鍵詞) Unit-linked policyen_US
dc.subject (關鍵詞) Chargingen_US
dc.subject (關鍵詞) Stochastic cash flowsen_US
dc.title (題名) 附保證給付投資型商品之收費定價zh_TW
dc.title (題名) A Framework to Charge for Unit-linked Contracts when Considering Guaranteed Risken_US
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) Boyle, P. P., and Schwartz, E. S. (1977): ”Equilibrium Prices of Guarantees under Equity-Linked Contracts” Journal of Risk and Insurance 44(4): 639-660.zh_TW
dc.relation.reference (參考文獻) Boyle, P. P., and Hardy, M. R. (1997): ”Reserving for Maturity Guarantees: Two approaches” Insurance: Mathematics and Economics 21:113-127.zh_TW
dc.relation.reference (參考文獻) Boyle, P. P., and Hardy, M. R. (2003): “Guaranteed Annuity Options”, Astin Bulletin, 33, 2, 125-152.zh_TW
dc.relation.reference (參考文獻) Brennan, M.J., and Schwartz, E. S. (1976): ”The Pricing of Equity-Linked Life Insurance Policies with an Asset Value Guarantee” Journal of Financial Economics 3: 195-213.zh_TW
dc.relation.reference (參考文獻) Grosen, A. and J&oslash;rgensen, P.L. (2000): ”Fair Valuation of Life Insurance Liabilities: The Impact of Interest Rate Guarantees, Surrender Options, and Bonus Policies” Insurance: Mathematics and Economics, 26, 37-57zh_TW
dc.relation.reference (參考文獻) Hansen, M and K. R. Miltersen (2002): “Minimum Rate of Return Guarantees: The Danish Case” Scandinavian Actuarial Journal, 4, 280-318.zh_TW
dc.relation.reference (參考文獻) Hardy, M. R. (2000): ”Hedging and Reserving for Single-Premium Segregated Fund Contracts” North American Actuarial Journal, 4, 2, 63-74.zh_TW
dc.relation.reference (參考文獻) Hardy, M. R. (2003): Investment Guarantees: The Science Modeling and Risk Management for Equity-Linked Life Insurance, Wiley.zh_TW
dc.relation.reference (參考文獻) Hare D .J. P., Dickson J. A., Mcdade P. A. P., Morrison D., Priestley R. P. and Wilson G. J. (1999): “A market-based approach to pricing with-profits guarantees” Presented to the Faculty of Actuaries.zh_TW
dc.relation.reference (參考文獻) Maturity Guarantees Working Party (MGWP) (1980): ”Report of the Maturity Guarantees Working Party” Journal of the Institute of Actuaries, 107, 102-212.zh_TW
dc.relation.reference (參考文獻) Miltersen, K.R. and Persson, S. -A. (1999): “Pricing Rate of Return Guarantees in a Health-Jarrow-Morton Framework” Insurance: Mathematics and Economics, 25(3), 307-325.zh_TW
dc.relation.reference (參考文獻) Pelsser, A. (2002): “Pricing and Hedging Guaranteed Annuity Options via Static option Replication” Working Paper, Erasmus University at Rotterdam, Netherlands.zh_TW
dc.relation.reference (參考文獻) Persson, S. -A. and Aase, K.K. (1997): ”Valuation of the Minimum Guaranteed Return Embedded in Life Insurance Contracts” Journal of Risk and Insurance, 64, 4, 599-617.zh_TW
dc.relation.reference (參考文獻) Wilkie, A.D., (1986): “A Stochastic Investment Model for Actuarial use” Transactions of the Faculty of Actuaries 39:341-391.zh_TW
dc.relation.reference (參考文獻) Wilkie, A.D., (1995): “More on a Stochastic Asset Model for Actuarial Use” British Actuarial Journal 1(V):777-964.zh_TW
dc.relation.reference (參考文獻) Wilkie, A.D., Waters, H. R., and Yang, S. (2003): “Reserving, Pricing and Hedging for Policies with Guaranteed Annuity Options” British Actuarial Journal, Vol. 9, 2, 263-391.zh_TW
dc.relation.reference (參考文獻) Wirch, J.L. and Hardy, M. R.(1999), “A synthesis of risk measures for capital adequacy”, Insurance: Mathematics and Economics, 25:337-347zh_TW