學術產出-學位論文

題名 確定提撥制下退休基金之最適提撥率與最適資產配置
作者 林昆亭
貢獻者 黃泓智
林昆亭
關鍵詞 確定提撥計畫
最適投資策略
下跌風險
生命週期型態
defined-contribution plans
optimal investment strategy
downside risk
lifestyle investment strategy
日期 2005
上傳時間 2009-09-18
摘要 現行各國的退休金計畫逐漸地由確定給付制轉變為確定提撥制。這表示投資的風險由原本退休金計畫的發起者(雇主)轉移到了參與者(員工)的身上。為了減少每個確定提撥制計畫參與者的投資風險,本文中採用退休時所得替代率為預估的目標,藉由模擬與最適化的方法找到最適投資策略與最適提撥率。

能反映出時間性的隨機模型在精算科學的領域是日漸重要,本文試著藉由隨機性的變化來估計代替以往精算上各種假設下所求得的負債。本文藉由隨機模擬的方式,得到各種資產在市場上或者是經濟上的價值來建構相關投資標的之報酬率,並利用動態隨機規劃模型去改善財務上避險以及資產負債管理。此外,為了避免模擬分析時間過長的問題,本文採用了情境抽樣的方法去改善電腦模擬分析計算時的效率。

我們主要得到以下結論:

(一)確定提撥制下的負債受薪資水準波動的影響,所以此時會持有較
多的指數連結型債券以反應薪資水準及通貨膨脹的影響。整體投
資的結果與Vigna & Haberman (2001) 文中的結果及實務上生命
週期型態(lifestyle)投資方式呈現相同的現象。

(二)考慮每期下跌風險(downside risk)時,期中的投資可能會偏向
於投資風險較高的股票。在每年觀察下跌風險的情況下其投資因
為必須考慮避免每一年的下跌風險,需要比每五年觀察下跌風險
的情況做風險較大的投資,以達到其目標。

(三)在本文的調整投資組合策略下,因為調整次數不多,所以在考慮
交易成本的情況,當交易成本很小時對於整體的最適化資產配置
與最適化提撥率的影響是很小的。在本文的調整投資組合策略
下,交易成本的影響只有在交易成本非常大的情況下才能看得出
來。

(四)均勻抽樣法抽出的400組情境幾乎可以完全的代替4000組情境,
其結果可以看出與未抽樣相同的生命週期型態(lifestyle)投資
方式。而隨機抽樣法的結果雖然也可看出趨勢,但準確性相對於
均勻抽樣法仍稍嫌不足,並不適合用來代替原先的4000組情境。
A shift from defined-benefit pension plan towards defined-contribution pension plan is currently popular around the world. This means that a serious investment risk transfers from defined-benefit sponsors to the individual members of defined-contribution plans. In order to reduce the risk of individual DC member, we investigate the methodology of finding the optimal contribution rate and asset allocation to reach a certain target of the retirement replacement rate in this paper.

Stochastic processes are getting more important to the field of actuarial science. Instead of trying to approximate liabilities by a single deterministic set of actuarial assumption, we seek to take account of market or economic valuation for both assets and liabilities using stochastic simulation. We applied dynamic stochastic programming models to improve financial hedging and asset liability management. Moreover, in order to avoid the problem of time-consuming, we use scenario sampling method to improve the efficiency of computer calculation.

We draw four conclusions from our investigations:

(1)We will hold more assets in indexed-linked bonds because
the pension liability is highly related to the wage-
index and inflation rate. The optimal investment
strategy is very like the so called "lifestyle"
investment strategy.

(2)When we consider downside risk, we should hold more
risky equities. The investment strategy is more risky
when we consider downside risk every year than every 5
years.

(3)Under our rebalancing strategy, if the transaction cost
is small, the influence on the investment strategy and
contribution rate is small. We can see the influence of
the transaction cost in a situation that the transaction
cost is very big only.

(4)There are almost no different between uniform sampling
scenarios and original simulation scenarios, so uniform
sampling scenarios may replace the original simulation
scenarios perfectly. And random sampling method is
unsuitable to replace the original simulation scenarios.
參考文獻 中文部分
1.黃泓智、余淸祥、楊曉文、黃彥富(2005),「隨機投資模型與長期負
債投資避險策略之研究」,證券市場發展季刊,第十七卷,第四期(將
刊登)(TSSCI)。
2.吳青峰(2002),「最適資產配置:投資模型建構及基因演算法之應
用」,國立政治大學風險管理與保險學系碩士論文。
3.蔡秉寰(2001),「資產配置之動態規劃」,國立政治大學金融系碩士論
文。
4.閔志清(1997),「台灣基金資產配置之研究」,國立台灣大學財務金融
學系碩士論文。
5.張智星(2000),「MATLAB 程式設計與應用」,清蔚科技出版。
英文部分
1.Berketi, A., (1998), "Allowing for insurance companies’
liabilities in mean - variance models." Ph.D. Thesis, Heriot-
Watt University.
2.Brianton, G., (1998), "Portfolio optimization " Risk
Management and Financial Derivatives: A Guide to the
Mathematics, 1st edition, Palgrave(trade).
3.Black, F., and Litterman, (1991), "Asset allocation :Combing
Investors View with Market Equilbrium", Journal of Fixed
Income, September.
4.Boyle, P.P., and Yang, H., (1997), "Asset allocation with
time variation in expected returns." Insurance mathematics
and Economics, Vol. 21 Iss.3, p201-218.
5.Brinson, G.P., and Singer, B.D., and Beebower, G.L.,
(1991), "Determinants of Portfolio Performance II:An
Update." Financial Analyst Journal, Vol. 47, Iss. 3, p40-48.
6.Brennan, M.J., and Schwartz, E.S., and Lagnado, R.,
(1997), "Strategic asset allocation." Journal of Economic
Dynamics and Control, 21, p1377-1403.
7.Carter, J., (1991), "The derivation and application of an
Australian stochastic investment model" Transactions of the
Institute of Actuaries of Australia, I, p315-428.
8.Chang, S.C., (1999), "Optimal Pension Funding Through Dynamic
Simulations: the Case of Taiwan Public Employees Retirement
System." Insurance: Mathematics and Economics, 24, 187-199.
9.Chopra, V.K., and Ziemba, W.T., (1993), "The effect of errors
in Means ,Variances and Covariances on Optimal portfolio
Choice" Journal of Portfolio Management, Vol. 19, Iss. 2, p6-
12.
10.Donohue, C., and Yip, K., (2003), "Optimal portfolio
rebalancing with transaction costs" Journal of Portfolio
Management, Vol. 29, Iss. 4, p49-92.
11.Edesess, Michael, and Hambrecht, George A.,
(1980), "Scenario Forecasting: Necessity, Not Choice ",
Journal of Portfolio Management, Vol. 6, Iss. 3, p10.
12.Farrell, James L., Jr. (1989), "A Fundamental Forecast
Approach Superior AssetAllocation. " Financial Analysts
Journal, Vol. 45, Iss. 3, p32-38.
13.Fong, H.G., and Fabozzi, F.J., (1988), "Asset Allocation
Optimization Models" In Arnott, Robert D., Frnak J,
Fabozzi,eds., Asset allocation :A Handbook of Portfolio
Policies, Strategies & Tactics, Chicago: Probus.
14.Gerald W. Buetow Jr., and Ronald Sellers, and Donald
Trotter, and Elaine Hunt, and Willie A. Whipple Jr.,
(2002), "The Benefits of Rebalancing." Journal of Portfolio
Management, Vol. 28, Iss. 2, p23-32.
15.Hardy, M.R., (1993), "Stochastic simulation in life office
solvency. " Journal of the Institute of Actuaries,
(120):p131-152.
16.Haberman, S., and Sung, J.H., (1994), "Dynamic Approaches to
Pension Funding" Insurance: Mathematics and Economics, 15,
p151-162.
17.Haberman, S., and Vigna, E., (2002), "Optimal Investment
Strategies and risk measures in defined contribution pension
schemes." Insurance mathematics and Economics, 31, p35-69.
18.Hammer,D.A., (1991), "Dynamic Asset Allocation :Strategies
for the Stock Bond, and Money Markets" John Wiley & Sons,Inc.
19.Hensel, C.R., and Ezra, D.D., and Ilkiw, J.H., (1991), "The
Importance of the Asset Allocation Decision." Financial
Analysts Journal, Vol. 47, Iss. 4, p65-72.
20.Huang, H.C., (2000), "Stochastic modeling and control of
pension plans. " Ph.D. Thesis, Heriot-Watt University.
21.Wang, J.L., (2002), "The Impact of Employer Pension System
on Retirement Income:the Analysis of the Revolutions in the
United State and Taiwan." Insurance Issues and Practices,
Vol. 1, p27-55.
22.Koskosidis, Y.A., and Duarte, A.M., (1997), "A Scenario-
Based Approach to Active Asset Allocation." The Journal of
Portfolio Management, Vol. 23 Iss. 2, p74-85.
23.Leibowitz, M.L., and Henriksson, R.D., (1988), "Portfolio
Optimization Within a Surplus Framework." Financial Analysts
Journal, Vol. 44 Iss. 2, p43-51.
24.Macdonald, A., (1994), "A Stochastic evaluation of solvency
valuations for life officies. " PH.D. Thesis, Heriot-Watt
University.
25.Markowitz, H.M., (1952), "Portfolio Selection". Journal of
Finance, March, p77-91.
26.Plaxco, L.M., and Arnott, R.D., (2002), "Rebalancing a
Global Policy Benchmark." Journal of Portfolio Management,
Vol. 28 Iss. 2, p9-22.
27.Pollin, R., and Schaberg, M., and Baker, D., (2003), "
Security Transactions Taxes for U.S. Financial Markets "
Political Economy Research Institute, Eastern Economic
Review, October 2003.
28.Sharpe, W. F., (1994), "The Sharpe Ratio." Journal of
Portfolio Management, Vol. 21, Iss. 1, p49-59.
29.Tanaka, S., and Inui, K., (1995), "Modelling Japanese
financial markets for pension ALM simulations" 5th AFIR
colloquium, p563-584.
30.Tobin, James, (1996), "Prologue" The Tobin Tax:Coping with
Financial Volatility, New York: Oxford University Press,
ix – xviii.
31.Thomson, R.J., (1994), "A stochastic investment model for
actuarial use in South Africa" Convention of the Actuarial
Society of South Africa.
32.Venables, W.N., and Ripley, B.D., (2002), Modern Applied
Statistics with S-Plus, 3rd edition, Springer, N.Y., N.Y.
33.Vigna, E., and Haberman, S., (2001), "Optimal Investment
Strategy for defined contribution pension schemes."
Insurance mathematics and Economics, 28, p233-262.
34.Williams, J.O., (1997), "Maximizing the Probability of
Achieving Investment Goals" The Journal of Portfolio
Management, Vol. 24, Iss. 1, p77-82.
35.Wilkie, A.D., (1986), "A Stochastic Investment Model for
Actuarial Use." Transactions of the Faculty of Actuaries,
39, p341-403.
36.Wilkie, A.D., (1995), "More on a stochastic asset model for
actuarial use." British Actuarial Jouranl, 1, p777-964.
37.Yvonne, C., (2002), "Efficient Stochastic Modeling For Large
and Consolidated Insurance Business:Interest Rate Sampling
Algorithms." North American Actuarial Journal, Vol.6 Iss. 3,
p88-103.
38.Yvonne, C., (2003), " Efficient Stochastic Modeling:From
Scenario Sampling To Parametric Model Fitting Utilizing ASEM
as an Exampling." International Professional Development
Symposium Co-sponsored by Canadian Institute of Actuaries,
Actuarial Foundation, and Society of Actuaries, Toronto,
Canada.
描述 碩士
國立政治大學
風險管理與保險研究所
92358024
94
資料來源 http://thesis.lib.nccu.edu.tw/record/#G0923580241
資料類型 thesis
dc.contributor.advisor 黃泓智zh_TW
dc.contributor.author (作者) 林昆亭zh_TW
dc.creator (作者) 林昆亭zh_TW
dc.date (日期) 2005en_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) G0923580241en_US
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/34172-
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) 92358024zh_TW
dc.description (描述) 94zh_TW
dc.description.abstract (摘要) 現行各國的退休金計畫逐漸地由確定給付制轉變為確定提撥制。這表示投資的風險由原本退休金計畫的發起者(雇主)轉移到了參與者(員工)的身上。為了減少每個確定提撥制計畫參與者的投資風險,本文中採用退休時所得替代率為預估的目標,藉由模擬與最適化的方法找到最適投資策略與最適提撥率。

能反映出時間性的隨機模型在精算科學的領域是日漸重要,本文試著藉由隨機性的變化來估計代替以往精算上各種假設下所求得的負債。本文藉由隨機模擬的方式,得到各種資產在市場上或者是經濟上的價值來建構相關投資標的之報酬率,並利用動態隨機規劃模型去改善財務上避險以及資產負債管理。此外,為了避免模擬分析時間過長的問題,本文採用了情境抽樣的方法去改善電腦模擬分析計算時的效率。

我們主要得到以下結論:

(一)確定提撥制下的負債受薪資水準波動的影響,所以此時會持有較
多的指數連結型債券以反應薪資水準及通貨膨脹的影響。整體投
資的結果與Vigna & Haberman (2001) 文中的結果及實務上生命
週期型態(lifestyle)投資方式呈現相同的現象。

(二)考慮每期下跌風險(downside risk)時,期中的投資可能會偏向
於投資風險較高的股票。在每年觀察下跌風險的情況下其投資因
為必須考慮避免每一年的下跌風險,需要比每五年觀察下跌風險
的情況做風險較大的投資,以達到其目標。

(三)在本文的調整投資組合策略下,因為調整次數不多,所以在考慮
交易成本的情況,當交易成本很小時對於整體的最適化資產配置
與最適化提撥率的影響是很小的。在本文的調整投資組合策略
下,交易成本的影響只有在交易成本非常大的情況下才能看得出
來。

(四)均勻抽樣法抽出的400組情境幾乎可以完全的代替4000組情境,
其結果可以看出與未抽樣相同的生命週期型態(lifestyle)投資
方式。而隨機抽樣法的結果雖然也可看出趨勢,但準確性相對於
均勻抽樣法仍稍嫌不足,並不適合用來代替原先的4000組情境。
zh_TW
dc.description.abstract (摘要) A shift from defined-benefit pension plan towards defined-contribution pension plan is currently popular around the world. This means that a serious investment risk transfers from defined-benefit sponsors to the individual members of defined-contribution plans. In order to reduce the risk of individual DC member, we investigate the methodology of finding the optimal contribution rate and asset allocation to reach a certain target of the retirement replacement rate in this paper.

Stochastic processes are getting more important to the field of actuarial science. Instead of trying to approximate liabilities by a single deterministic set of actuarial assumption, we seek to take account of market or economic valuation for both assets and liabilities using stochastic simulation. We applied dynamic stochastic programming models to improve financial hedging and asset liability management. Moreover, in order to avoid the problem of time-consuming, we use scenario sampling method to improve the efficiency of computer calculation.

We draw four conclusions from our investigations:

(1)We will hold more assets in indexed-linked bonds because
the pension liability is highly related to the wage-
index and inflation rate. The optimal investment
strategy is very like the so called "lifestyle"
investment strategy.

(2)When we consider downside risk, we should hold more
risky equities. The investment strategy is more risky
when we consider downside risk every year than every 5
years.

(3)Under our rebalancing strategy, if the transaction cost
is small, the influence on the investment strategy and
contribution rate is small. We can see the influence of
the transaction cost in a situation that the transaction
cost is very big only.

(4)There are almost no different between uniform sampling
scenarios and original simulation scenarios, so uniform
sampling scenarios may replace the original simulation
scenarios perfectly. And random sampling method is
unsuitable to replace the original simulation scenarios.
en_US
dc.description.tableofcontents 第一章、緒論……………………………………………………………….-1-
第一節 研究動機與目的………………………………………………….-1-
第二節 文獻回顧………………………………………………………….-3-
第二章、投資模型與最適化目標建構……………………………………-16-
第一節 Wilkie投資模型…………………………………………………-16-
第二節 最適化目標函數………………………………………………..-19-
第三章、資產模型建構……………………………………………………-24-
第一節 未考慮交易成本之資產模型……………………………………-24-
第二節 考慮交易成本之資產模型………………………………………-28-
第四章、均勻抽樣法之應用………………………………………………-30-
第五章、數值結果分析……………………………………………………-32-
第一節 績效評估…………………………………………………………-33-
第二節 四種目標函數下之最適資產配置與最適提撥率………………-36-
第三節 考慮交易成本下之最適資產配置與最適提撥率………………-48-
第四節 抽樣法之應用……………………………………………………-53-
第六章、結論與建議………………………………………………………-55-
參考文獻……………………………………………………………………-58-
附錄…………………………………………………………………………-63-

表目錄
表 一:目標函數(一)之最適資產配置與最適提撥率…………………- 36-
表 二:目標函數(一)固定提撥率(12 %)下之最適資產配置………….-37-
表 三:目標函數(二)之最適資產配置與最適提撥率,………………- 37-
表 四:目標函數(二)之最適資產配置與最適提撥率,………………- 38-
表 五:目標函數(二)之最適資產配置與最適提撥率,………………- 38-
表 六:目標函數(三)之最適資產配置與最適提撥率,每5年考慮下跌風險………- 40-
表 七:目標函數(三)之最適資產配置與最適提撥率,每年考慮下跌風險…………- 41-
表 八:目標函數(三)之最適資產配置與最適提撥率,每5年考慮下跌風險……- 41-
表 九:目標函數(三)之最適資產配置與最適提撥率,每年考慮下跌風險………- 42-
表 十:目標函數(三)之最適資產配置與最適提撥率,每5年考慮下跌風險……- 42-
表 十一:目標函數(三)之最適資產配置與最適提撥率,每年考慮下跌風險……- 43-
表 十二:目標函數(四)之最適資產配置與最適提撥率…………….- 44-
表 十三:目標函數(四)之最適資產配置,使用目標函數(一)之提撥率…………………….- 44-
表 十四:各目標函數間之績效評估………………………………….- 47-
表 十五:世界各國證券交易稅徵收標準………………………………- 48-
表 十六:目標函數(一)考慮交易成本下之最適資產配置…………….-49-
表 十七:目標函數(一)考慮交易成本下之最適資產配置……………- 49-
表 十八:目標函數(一)考慮交易成本下之最適資產配置……………- 50-
表 十九:目標函數(一)考慮交易成本下之最適資產配置…………….-51-
表 二十:目標函數(一)考慮交易成本下之最適資產配置…………….-51-
表 二十一:目標函數(一)使用均勻抽樣法下之最適資產配置……….-53-
表 二十二:目標函數(一)使用隨機抽樣法下之最適資產配置……….-54-

圖目錄
圖 一:Wilkie 投資模型關係……………………………………………-16-
圖 二:兩種抽樣法與未抽樣之股票顯著測度機率分配圖…………….-31-
zh_TW
dc.format.extent 11749 bytes-
dc.format.extent 12961 bytes-
dc.format.extent 86082 bytes-
dc.format.extent 69347 bytes-
dc.format.extent 185353 bytes-
dc.format.extent 122526 bytes-
dc.format.extent 95529 bytes-
dc.format.extent 89918 bytes-
dc.format.extent 198629 bytes-
dc.format.extent 90030 bytes-
dc.format.extent 70727 bytes-
dc.format.extent 85513 bytes-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.format.mimetype application/pdf-
dc.language.iso en_US-
dc.source.uri (資料來源) http://thesis.lib.nccu.edu.tw/record/#G0923580241en_US
dc.subject (關鍵詞) 確定提撥計畫zh_TW
dc.subject (關鍵詞) 最適投資策略zh_TW
dc.subject (關鍵詞) 下跌風險zh_TW
dc.subject (關鍵詞) 生命週期型態zh_TW
dc.subject (關鍵詞) defined-contribution plansen_US
dc.subject (關鍵詞) optimal investment strategyen_US
dc.subject (關鍵詞) downside risken_US
dc.subject (關鍵詞) lifestyle investment strategyen_US
dc.title (題名) 確定提撥制下退休基金之最適提撥率與最適資產配置zh_TW
dc.type (資料類型) thesisen
dc.relation.reference (參考文獻) 中文部分zh_TW
dc.relation.reference (參考文獻) 1.黃泓智、余淸祥、楊曉文、黃彥富(2005),「隨機投資模型與長期負zh_TW
dc.relation.reference (參考文獻) 債投資避險策略之研究」,證券市場發展季刊,第十七卷,第四期(將zh_TW
dc.relation.reference (參考文獻) 刊登)(TSSCI)。zh_TW
dc.relation.reference (參考文獻) 2.吳青峰(2002),「最適資產配置:投資模型建構及基因演算法之應zh_TW
dc.relation.reference (參考文獻) 用」,國立政治大學風險管理與保險學系碩士論文。zh_TW
dc.relation.reference (參考文獻) 3.蔡秉寰(2001),「資產配置之動態規劃」,國立政治大學金融系碩士論zh_TW
dc.relation.reference (參考文獻) 文。zh_TW
dc.relation.reference (參考文獻) 4.閔志清(1997),「台灣基金資產配置之研究」,國立台灣大學財務金融zh_TW
dc.relation.reference (參考文獻) 學系碩士論文。zh_TW
dc.relation.reference (參考文獻) 5.張智星(2000),「MATLAB 程式設計與應用」,清蔚科技出版。zh_TW
dc.relation.reference (參考文獻) 英文部分zh_TW
dc.relation.reference (參考文獻) 1.Berketi, A., (1998), "Allowing for insurance companies’zh_TW
dc.relation.reference (參考文獻) liabilities in mean - variance models." Ph.D. Thesis, Heriot-zh_TW
dc.relation.reference (參考文獻) Watt University.zh_TW
dc.relation.reference (參考文獻) 2.Brianton, G., (1998), "Portfolio optimization " Riskzh_TW
dc.relation.reference (參考文獻) Management and Financial Derivatives: A Guide to thezh_TW
dc.relation.reference (參考文獻) Mathematics, 1st edition, Palgrave(trade).zh_TW
dc.relation.reference (參考文獻) 3.Black, F., and Litterman, (1991), "Asset allocation :Combingzh_TW
dc.relation.reference (參考文獻) Investors View with Market Equilbrium", Journal of Fixedzh_TW
dc.relation.reference (參考文獻) Income, September.zh_TW
dc.relation.reference (參考文獻) 4.Boyle, P.P., and Yang, H., (1997), "Asset allocation withzh_TW
dc.relation.reference (參考文獻) time variation in expected returns." Insurance mathematicszh_TW
dc.relation.reference (參考文獻) and Economics, Vol. 21 Iss.3, p201-218.zh_TW
dc.relation.reference (參考文獻) 5.Brinson, G.P., and Singer, B.D., and Beebower, G.L.,zh_TW
dc.relation.reference (參考文獻) (1991), "Determinants of Portfolio Performance II:Anzh_TW
dc.relation.reference (參考文獻) Update." Financial Analyst Journal, Vol. 47, Iss. 3, p40-48.zh_TW
dc.relation.reference (參考文獻) 6.Brennan, M.J., and Schwartz, E.S., and Lagnado, R.,zh_TW
dc.relation.reference (參考文獻) (1997), "Strategic asset allocation." Journal of Economiczh_TW
dc.relation.reference (參考文獻) Dynamics and Control, 21, p1377-1403.zh_TW
dc.relation.reference (參考文獻) 7.Carter, J., (1991), "The derivation and application of anzh_TW
dc.relation.reference (參考文獻) Australian stochastic investment model" Transactions of thezh_TW
dc.relation.reference (參考文獻) Institute of Actuaries of Australia, I, p315-428.zh_TW
dc.relation.reference (參考文獻) 8.Chang, S.C., (1999), "Optimal Pension Funding Through Dynamiczh_TW
dc.relation.reference (參考文獻) Simulations: the Case of Taiwan Public Employees Retirementzh_TW
dc.relation.reference (參考文獻) System." Insurance: Mathematics and Economics, 24, 187-199.zh_TW
dc.relation.reference (參考文獻) 9.Chopra, V.K., and Ziemba, W.T., (1993), "The effect of errorszh_TW
dc.relation.reference (參考文獻) in Means ,Variances and Covariances on Optimal portfoliozh_TW
dc.relation.reference (參考文獻) Choice" Journal of Portfolio Management, Vol. 19, Iss. 2, p6-zh_TW
dc.relation.reference (參考文獻) 12.zh_TW
dc.relation.reference (參考文獻) 10.Donohue, C., and Yip, K., (2003), "Optimal portfoliozh_TW
dc.relation.reference (參考文獻) rebalancing with transaction costs" Journal of Portfoliozh_TW
dc.relation.reference (參考文獻) Management, Vol. 29, Iss. 4, p49-92.zh_TW
dc.relation.reference (參考文獻) 11.Edesess, Michael, and Hambrecht, George A.,zh_TW
dc.relation.reference (參考文獻) (1980), "Scenario Forecasting: Necessity, Not Choice ",zh_TW
dc.relation.reference (參考文獻) Journal of Portfolio Management, Vol. 6, Iss. 3, p10.zh_TW
dc.relation.reference (參考文獻) 12.Farrell, James L., Jr. (1989), "A Fundamental Forecastzh_TW
dc.relation.reference (參考文獻) Approach Superior AssetAllocation. " Financial Analystszh_TW
dc.relation.reference (參考文獻) Journal, Vol. 45, Iss. 3, p32-38.zh_TW
dc.relation.reference (參考文獻) 13.Fong, H.G., and Fabozzi, F.J., (1988), "Asset Allocationzh_TW
dc.relation.reference (參考文獻) Optimization Models" In Arnott, Robert D., Frnak J,zh_TW
dc.relation.reference (參考文獻) Fabozzi,eds., Asset allocation :A Handbook of Portfoliozh_TW
dc.relation.reference (參考文獻) Policies, Strategies & Tactics, Chicago: Probus.zh_TW
dc.relation.reference (參考文獻) 14.Gerald W. Buetow Jr., and Ronald Sellers, and Donaldzh_TW
dc.relation.reference (參考文獻) Trotter, and Elaine Hunt, and Willie A. Whipple Jr.,zh_TW
dc.relation.reference (參考文獻) (2002), "The Benefits of Rebalancing." Journal of Portfoliozh_TW
dc.relation.reference (參考文獻) Management, Vol. 28, Iss. 2, p23-32.zh_TW
dc.relation.reference (參考文獻) 15.Hardy, M.R., (1993), "Stochastic simulation in life officezh_TW
dc.relation.reference (參考文獻) solvency. " Journal of the Institute of Actuaries,zh_TW
dc.relation.reference (參考文獻) (120):p131-152.zh_TW
dc.relation.reference (參考文獻) 16.Haberman, S., and Sung, J.H., (1994), "Dynamic Approaches tozh_TW
dc.relation.reference (參考文獻) Pension Funding" Insurance: Mathematics and Economics, 15,zh_TW
dc.relation.reference (參考文獻) p151-162.zh_TW
dc.relation.reference (參考文獻) 17.Haberman, S., and Vigna, E., (2002), "Optimal Investmentzh_TW
dc.relation.reference (參考文獻) Strategies and risk measures in defined contribution pensionzh_TW
dc.relation.reference (參考文獻) schemes." Insurance mathematics and Economics, 31, p35-69.zh_TW
dc.relation.reference (參考文獻) 18.Hammer,D.A., (1991), "Dynamic Asset Allocation :Strategieszh_TW
dc.relation.reference (參考文獻) for the Stock Bond, and Money Markets" John Wiley & Sons,Inc.zh_TW
dc.relation.reference (參考文獻) 19.Hensel, C.R., and Ezra, D.D., and Ilkiw, J.H., (1991), "Thezh_TW
dc.relation.reference (參考文獻) Importance of the Asset Allocation Decision." Financialzh_TW
dc.relation.reference (參考文獻) Analysts Journal, Vol. 47, Iss. 4, p65-72.zh_TW
dc.relation.reference (參考文獻) 20.Huang, H.C., (2000), "Stochastic modeling and control ofzh_TW
dc.relation.reference (參考文獻) pension plans. " Ph.D. Thesis, Heriot-Watt University.zh_TW
dc.relation.reference (參考文獻) 21.Wang, J.L., (2002), "The Impact of Employer Pension Systemzh_TW
dc.relation.reference (參考文獻) on Retirement Income:the Analysis of the Revolutions in thezh_TW
dc.relation.reference (參考文獻) United State and Taiwan." Insurance Issues and Practices,zh_TW
dc.relation.reference (參考文獻) Vol. 1, p27-55.zh_TW
dc.relation.reference (參考文獻) 22.Koskosidis, Y.A., and Duarte, A.M., (1997), "A Scenario-zh_TW
dc.relation.reference (參考文獻) Based Approach to Active Asset Allocation." The Journal ofzh_TW
dc.relation.reference (參考文獻) Portfolio Management, Vol. 23 Iss. 2, p74-85.zh_TW
dc.relation.reference (參考文獻) 23.Leibowitz, M.L., and Henriksson, R.D., (1988), "Portfoliozh_TW
dc.relation.reference (參考文獻) Optimization Within a Surplus Framework." Financial Analystszh_TW
dc.relation.reference (參考文獻) Journal, Vol. 44 Iss. 2, p43-51.zh_TW
dc.relation.reference (參考文獻) 24.Macdonald, A., (1994), "A Stochastic evaluation of solvencyzh_TW
dc.relation.reference (參考文獻) valuations for life officies. " PH.D. Thesis, Heriot-Wattzh_TW
dc.relation.reference (參考文獻) University.zh_TW
dc.relation.reference (參考文獻) 25.Markowitz, H.M., (1952), "Portfolio Selection". Journal ofzh_TW
dc.relation.reference (參考文獻) Finance, March, p77-91.zh_TW
dc.relation.reference (參考文獻) 26.Plaxco, L.M., and Arnott, R.D., (2002), "Rebalancing azh_TW
dc.relation.reference (參考文獻) Global Policy Benchmark." Journal of Portfolio Management,zh_TW
dc.relation.reference (參考文獻) Vol. 28 Iss. 2, p9-22.zh_TW
dc.relation.reference (參考文獻) 27.Pollin, R., and Schaberg, M., and Baker, D., (2003), "zh_TW
dc.relation.reference (參考文獻) Security Transactions Taxes for U.S. Financial Markets "zh_TW
dc.relation.reference (參考文獻) Political Economy Research Institute, Eastern Economiczh_TW
dc.relation.reference (參考文獻) Review, October 2003.zh_TW
dc.relation.reference (參考文獻) 28.Sharpe, W. F., (1994), "The Sharpe Ratio." Journal ofzh_TW
dc.relation.reference (參考文獻) Portfolio Management, Vol. 21, Iss. 1, p49-59.zh_TW
dc.relation.reference (參考文獻) 29.Tanaka, S., and Inui, K., (1995), "Modelling Japanesezh_TW
dc.relation.reference (參考文獻) financial markets for pension ALM simulations" 5th AFIRzh_TW
dc.relation.reference (參考文獻) colloquium, p563-584.zh_TW
dc.relation.reference (參考文獻) 30.Tobin, James, (1996), "Prologue" The Tobin Tax:Coping withzh_TW
dc.relation.reference (參考文獻) Financial Volatility, New York: Oxford University Press,zh_TW
dc.relation.reference (參考文獻) ix – xviii.zh_TW
dc.relation.reference (參考文獻) 31.Thomson, R.J., (1994), "A stochastic investment model forzh_TW
dc.relation.reference (參考文獻) actuarial use in South Africa" Convention of the Actuarialzh_TW
dc.relation.reference (參考文獻) Society of South Africa.zh_TW
dc.relation.reference (參考文獻) 32.Venables, W.N., and Ripley, B.D., (2002), Modern Appliedzh_TW
dc.relation.reference (參考文獻) Statistics with S-Plus, 3rd edition, Springer, N.Y., N.Y.zh_TW
dc.relation.reference (參考文獻) 33.Vigna, E., and Haberman, S., (2001), "Optimal Investmentzh_TW
dc.relation.reference (參考文獻) Strategy for defined contribution pension schemes."zh_TW
dc.relation.reference (參考文獻) Insurance mathematics and Economics, 28, p233-262.zh_TW
dc.relation.reference (參考文獻) 34.Williams, J.O., (1997), "Maximizing the Probability ofzh_TW
dc.relation.reference (參考文獻) Achieving Investment Goals" The Journal of Portfoliozh_TW
dc.relation.reference (參考文獻) Management, Vol. 24, Iss. 1, p77-82.zh_TW
dc.relation.reference (參考文獻) 35.Wilkie, A.D., (1986), "A Stochastic Investment Model forzh_TW
dc.relation.reference (參考文獻) Actuarial Use." Transactions of the Faculty of Actuaries,zh_TW
dc.relation.reference (參考文獻) 39, p341-403.zh_TW
dc.relation.reference (參考文獻) 36.Wilkie, A.D., (1995), "More on a stochastic asset model forzh_TW
dc.relation.reference (參考文獻) actuarial use." British Actuarial Jouranl, 1, p777-964.zh_TW
dc.relation.reference (參考文獻) 37.Yvonne, C., (2002), "Efficient Stochastic Modeling For Largezh_TW
dc.relation.reference (參考文獻) and Consolidated Insurance Business:Interest Rate Samplingzh_TW
dc.relation.reference (參考文獻) Algorithms." North American Actuarial Journal, Vol.6 Iss. 3,zh_TW
dc.relation.reference (參考文獻) p88-103.zh_TW
dc.relation.reference (參考文獻) 38.Yvonne, C., (2003), " Efficient Stochastic Modeling:Fromzh_TW
dc.relation.reference (參考文獻) Scenario Sampling To Parametric Model Fitting Utilizing ASEMzh_TW
dc.relation.reference (參考文獻) as an Exampling." International Professional Developmentzh_TW
dc.relation.reference (參考文獻) Symposium Co-sponsored by Canadian Institute of Actuaries,zh_TW
dc.relation.reference (參考文獻) Actuarial Foundation, and Society of Actuaries, Toronto,zh_TW
dc.relation.reference (參考文獻) Canada.zh_TW