本文主要在探討確定提撥退休金計劃下，投資決策對所得替代率之影響，以提供員工退休規劃及政府政策擬定之參考。首先，我們建構退休金累積模型及所得替代率模型，其中所得替代率之計算是以含通貨膨脹率因子的年金方式給付退休金。然後，將影響退休金累積模型的精算因子：累積期間的投資報酬率，依據過去的月資料配適出其母體分配，以模擬員工未來退休時，使用年金方式給付退休金的所得替代率。本文進一步，提供員工在不同投資報酬下應相對提撥多少百分比，以達到適當的所得替代率水準的參考標準，以滿足員工未來退休時的生活所需。我們以民國87年「勞工退休金條例草案」及台灣投資市場的實証資料進行研究，本研究結果如右：當僱主提撥6%月薪資時，(一)若員工可選擇投資標的，女性、男性員工所得替代率分均值分別介於48%~70%、52%~75%，而且選擇高度風險基金之所得替代率平均值皆較低度風險基金高出45 %，但為了使所得替代率小於60%的機率低於10%，女性、男性員工選擇高度風險基金需較低度風險基金分別多提撥3 %、2 %。(二)若退休基金由勞委會統籌管理，以過去實証平均報酬率8%，計算女性、男性員工所得替代率分別為50%、54%，但為達到60%所得替代率，女性、男性員工需分別相對提撥2%、1%。(三)比較「員工可選擇投資標的」與「勞委會統籌分配管理」兩種退休基金管理方式，若員工可選擇投資標的亦有最低保証收益，結果發現員工可選擇投資標的之投資績效及所得替代率皆優於勞委會統籌分配管理。 / The thesis investigates the impacts of the employee’s investment decision making on income replacement rate for defined contribution plan. We first construct the pension accumulation model to compute the final retirement benefit under defined contribution plan. Furthermore, the empirical data of the investment returns from mutual fund market and that from Labor Insurance Bureau are utilized to simulate the possible investment returns distribution for employee before retirement. The replacement rate is then calculated by assuming the employee will use his/her final retirement benefit to buy a single premium annuity with inflation index adjustment from the insurance company. Finally, based on simulation results from different scenarios, we suggest a relative employee contribution rate in order for employee to reach his/her objective replacement rate under different risk aversion levels. Our results show: 1. If the employee can make investment decision by investing in the mutual fund market, in average, female employee can have 48~70% replacement rate, while male employee can have 52~75%. We also find the replacement rate for employee selecting the high-risk mutual fund is 45% higher than those for selecting the low-risk mutual fund. 2. If the employee can not make investment decision and Labor Insurance Bureau allocate the pension asset, female employee can have 50% replacement rate, while male employee can have 54%. 3. Comparing the above two alternatives under the assumption that the employee has minimum guarantee return in both case, we find the first option can generate higher replacement rate for employee.

隨著醫療技術進步及生活水準的提高，使得人類平均壽命延長，人口結構有逐漸高齡化的趨勢，促使人們開始關切未來老年生活的財源。因此，本研究以金錢價值比率及所得替代率，來建構退休金所得規劃模型，探討在台灣各種不同的退休金制度及商業年金保險下，個人所擁有的金錢價值及所得替代率到底為何？利用過去25年的實證資料，採用66年到90年的各項實證資料，以模擬分析的方式，分析退休金制度及商業年金保險之現金流量，求算其金錢價值比率及所得替代率，並與澳洲、加拿大等國家的年金商品金錢價值比率，及退休金所得替代率相比較，分析造成其中差異的因素。 　　研究結果發現：(1)台灣退休金制度之金錢價值比率遠高於商業年金保險之比率；(2)在商業年金保險中，男性的金錢價值比率比女性的金錢價值比率高；(3)附加費用的多寡，使得即期年金之金錢價值比率高於遞延年金之比率約10%左右；(4)國內外的大多數年金商品金錢價值比率，大約都在90%到98%之間，表示其附加費用率大致相同；(5)在台灣退休金制度中，公務人員擁有較充足的退休金，而勞工退休金卻遠遠的不足；且相較於其他國家的退休金所得替代率，台灣除了公務人員退撫基金較為充足外，勞工退休金及社會福利支出方面是相當不夠的。 / Owing to the improvement of medical technology and living standard, the average life of human is extending and the structure of population is aging. It makes people to worry about the financial soundness of future life. This paper has following two objectives. First, we construct a evaluation model of pension value by using money's worth ratio and replacement rate. Second, we compare the money's worth ratio and replacement rates of different pension plans and annuities between different individuals. We use the empirical data from 1977 to 2001 in Taiwan for this study. We calculate the money's worth ratio and replacement rate of different pension plans and annuities and analyze the cash flow of them by using the simulated method. We also compare the money's worth ratio of annuities and replacement rate of pension plans between Taiwan, and the other countries, such as Australia, and Canada, and analyze the reasons causing these differences. 　　The empirical results are as follow. First, the money's worth ratio of pension plan is higher than that of the commercial annuity in Taiwan. Second, in commercial annuity, the money's worth ratio of male is higher than that of the female. Third, the money's worth ratio of immediate annuity is higher than that of the deferred annuity about 10% because of the expense loading. Fourth, the money's worth ratio of domestic or overseas annuities is between 90% and 98%. It means the loadings of them are not much difference. Fifth, the public officers have sufficient pension annuity, whereas the laborers have insufficient pension annuity. Finally, from the comparison of replacement rates of between Taiwan and other countries, we find that replacement rate of laborers in both private pension and public pension are insufficient except for the public officers.

論文摘要: 本研究以現金餘額計劃（Cash Balance Plan）及確定提撥退休金計劃（Defined Contribution Pension Plan）建構出公務人員退撫基金之建議機制，建構之主要目的在於透過第一層現金餘額計劃之利息給付機制降低退休基金利率風險，同時由第二層確定提撥計劃獲取額外退休所得，使雇主與員工在双層式退休金計劃下，同時承擔投資風險，以降低基金利率風險並同時滿足適當退休所得保障。本文在現金餘額計劃不同控管年限及利息給付假設下，模擬超額積蓄（Overfunded）基金與不足額積蓄（Underfunded）基金執行資產負債管理（Asset Liability Management）所需存續期間，同時模擬双層式退休金計劃提供員工之退休所得替代率，研究結果發現： 1、超額積蓄基金及不足額積蓄基金均可以在目前資本市場中找到符合所需存續期間之資產投資。在控管20年限內，超額積蓄基金所需存續期間在-1.71年到0.39年之間；不足額積蓄基金所需存續期間在4.68年到8.31年之間。 2、退休基金越接近超額狀態越有利於資產負債管理。當基金積蓄狀態越接近超額積蓄時，基金負債與資產的比例較不足額積蓄基金低，故資產負債管理所需存續期間較短，對於基金能夠控管的年限也越長。 3、雇主可透過現金餘額計劃利息給付機制執行百分之百免疫策略。雇主可利用現金餘額計劃利息給付依據外部債券利率為參考依據的特性，鎖定債券利率，達到資產負債管理百分之百免疫效果。 4、現金餘額計劃執行百分之百免疫策略情況下，45歲以下公務人員採行自動選擇投資基金（Default Fund）為高風險投資基金，自動選擇提撥率（Default Rate）為每月薪資5.08﹪，可使員工達到適當所得替代率保障水準。 / Abstract This thesis proposes an new alternative two-tier pension composed of Cash Balance Plan (CBP ) and defined contribution pension plan to the traditional defined benefit pension plan of Taiwan Public Employee Retirement System(TPERS). In order to decrease the interest-rate risk of the pension fund and to provide additional retirement income protection, we utilize the credit rate mechanism of CBP and supplement CBP with additional defined contribution plan. We investigate the Asset-Liability Management (ALM) for TPERS and calculate the liability duration under different time horizons, interest credits of CBP. We also simulate the replacement rate of the two-tier pension plan under different contribution rates, and investment returns. The results are as follows: 1、Given the twenty-year time horizons, the asset duration of overfunded plan ranges between –1.71 years and 0.39 years, whereas that of underfunded plan varies from 4.68 years to 8.31 years. In this case, the requirements of asset duration can be satisfied in the Taiwan Capital Market. 2、The overfunded pension plan has higher probabilities to meet the requirements of asset duration. Therefore, we suggest that the fund manager can increase the asset allocation percentage of external fund management in order to improve the long-term returns. 3、Perfect matching of pension fund can be achieved by matching the yield of securities to interest credit under CBP . In addition, we suggest that the interest credit of the new labor contracts should take the trend of the current interest rate into consideration. 4、Replacement rates provided by CBP for woman range from 19.05﹪ to 45.70﹪and from 20.86﹪to 50.05﹪for man assuming the interest credit rate is 5.2%. To increase the retirement income, the defined contribution plan provide additional replacement rate between 13.56﹪and 162.96﹪for woman and between 14.85﹪and 178.42﹪for man assuming the employee can contribute 3.08 percent to 13.37 percent of regular salaries and investment returns are from 4 percent to 8 percent .