臺灣博碩士論文加值系統

本研究探討於不同投資策略下，確定提撥制之保證給付成本與所得替代率之影響。文中所論及之投資策略包含買入持有、固定比例混合、生命週期配置、固定比率投資組合保險與時間不變性投資組合保護等投資策略，並配合不同之投資權重、風險乘數與保障比率設定等，以蒙地卡羅模擬法進行股價、債券價格與利率模擬，以推算保證給付之成本與所得替代率。股價之模型本文設定為符合幾何布朗寧運動模式，而於債券報酬與利率走勢模擬則主要採用CIR模型以加以模擬，並輔以幾何布朗寧法模擬債券指數走勢，著以對照。依據模擬之結果，建議政府與保險公司以發行時間不變性投資組合保護或生命週期配置商品為首選，以減輕保證給付成本。

The paper focuses on evaluating interest rate guarantee cost and income replacement ratio for a defined contribution (DC) pension within different investment strategies. We investigated the guarantee cost with different investing strategies, including Buy and hold (BH) Constant Mixture (CM), Deterministic Lifestyle (DL), Constant Portion Portfolio Insurance (CPPI) and Time Invariant Portfolio Protection (TIPP) strategies. We used the Monte Carlo simulation to evaluate stock prices, bond prices and interest rates. We also assumed that the stochastic process can be applied to our model where we use Geometric Brownian Motion to execute the stock and bond value simulations. We also apply the CIR model to simulate bond prices and interest rates as another bond price simulation method for comparison purposes. Additionally, in this paper, we also enlarged the parameters on different pre-set weightings, risk multiples and floor rates to understand the latent impacts on guarantee cost and income replacement ratio in the sensitive analysis section. According to simulation results, we conclude by suggesting that government and insurance companies to design products with TIPP and DL traits rather than CIPP trait to lower the guarantee cost.

CONTENTS
1. INTRODUCTION 1
2. THE MODEL AND ASSUMPTIONS 2
2.1 Evaluation of Guarantee Cost and Income Ratio 2
2.2 Asset Dynamic 3
Stock Simulation Model 3
Interest Rate and Bond Market Simulation Models 4
2.3 Investment strategies 8
2.4 Income Replacement Ratio 14
3. NUMERICAL RESULTS 15
3.1 The Effects of Buy and Hold 15
3.2 The Effects of Constant Mixture 18
3.3 The Effects of Deterministic Lifestyle 19
3.4 The Effects of Constant Portion Portfolio Insurance 21
3.5 The Effects of Time Invariant Portfolio Protection 23
3.6 Sensitive Analysis on DL, CPPI and TIPP Methods and Stock Volatilities 25
Target Weighting Effects on DL Method 25
Changing Risk Multiples on CIPP and TIPP Methods 26
3.7 Impacts of Income Replacement Ratio on using Different Strategies 32
4. CONCLUSIONS 35
5. REFERENCE 36
6. APPENDIX 37

Alistair, Byrne, 2004, Investment decision making in defined contribution pension plans, Henry Stewart Publications, Vol. 10, 1, 37–49 Pensions

Anders, Grosen and Peter Løchte Jørgensen, 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

Baccinello, A.R., and Ortu F., 1993b., Pricing equity-linked life insurance with endogenous minimum guarantees: a corrigendum, Insurance: Mathematics and Economics 13, 303–304.

Baccinello, A.R.and Ortu F., 1993a., Pricing equity-linked life insurance with endogenous minimum guarantees, Insurance: Mathematics and Economics 12 (3), 245–258

Bacinello, A. R., 2001, Fair Pricing of Life Insurance Participating Policies with a Minimum Interest Rate Guaranteed, Astin Bulletin, 31:275-297

Bacinello, A.R., 2003a, Fair Valuation of a Guaranteed Life Insurance Participating Contract Embedding a Surrender Option, Journal of Risk and Insurance, 70(3):461-487

Bacinello, A. R. 2003b, Pricing Guaranteed Life Insurance Participating Policies with Annual Premiums and Surrender Options, North American Actuarial Journal 7 (3):1-17

Black, Fisher and Jones Robert, 1987 fall, Simplifying Portfolio Insurance, the Journal of Portfolio Management, 48-51

Black, Fisher and Perold Andre F., Jul/Oct 1992, Theory of Constant Proportion Portfolio Insurance, Journal of Economic Dynamic and Control, 403-426

Bodie, Z., 2003 Jan/Feb, Thoughts on the Future: Lifecycle Investing in Theory and Practice, Financial Analysts Journal, 24–29

Christopher, Donohue and Kenneth Yip, Summer 2003, Optimal Portfolio Rebalancing with Transaction Costs, the Jouranl of Portfolio Management, 49-63

D. F., Schrager and A. A. Pelsser, 2004, Pricing Rate of Return Guarantees in Regular Premium Unit Linked Insurance, Insurance: Mathematics and Economics, No.35, 369-398

Gordon J., Alexander and Alexandre M. Baptista, Portfolio Performance Evaluation Using Value at Risk, the Jouranl of Portfolio Management, 93-102

Longstaff, F.A. and, Schwartz E.S., 2001, Valuing American Options by Simulation：A Simple Least-Squares Approach, the Review of Financial Studies Spring 2001 Vol. 14, No. 1, 113-147

Luca, Torosantucci, Adamo Uboldi, and Massimo Bernaschi, Empirical evaluation of the market price of risk using the CIR model, International Journal of Theoretical and Applied Finance

M., Hansen and K. R. Miltersen, 2002, Minimum Rate of Return Guarantees: the Danish Case, Scandinavian Actuarial Journal, No.4, 280-318

Mare-Eve, Lachance, Olivia S. Mitchell and Kent Smetters, 2003, Guaranteeing Defined Contribution Pension: The Option to Buy a Defined Benefit Promise, the Journal of Risk and Insurance, Vol. 70, No.1, 1-16

Markowitz, Harry M., Summer 2003, Portfolio Selection, Journal of Finance, 7 (1), 77-91.

Olivia S., Mitchell and James F. Moore, Sep. 1998, Can Americans Afford to Retire? New Evidence on Retirement Saving Adequancy, the Journal of Risk and Insurance, Vol. 65, No.3, 371-400, Portfolio Management, Summer, 33-37

Tongxuan, Yang, PRC WP 2005-4, Understanding the Defined Benefit versus Defined Contribution Choice, Pension Research Council Working Paper, Pension Research Council

Vicky, Henderson (University of Oxford) and Rafal Wojakowski,(Lancaster University), On The Equivalence Of Floating And Fixed-Strike Asian Options