強積金的行政費?

2007-07-18 4:50 am
http://hk.news.yahoo.com/070716/60/2bls6.html
今天報紙有以下關於強積金的報導:
[消委會舉例指,計畫成員及其僱主每月共供款二千元,總投資回報率每年百分之五,供款四十年後,退休時實收的累算權益有三百零五萬元;但若費用為百分之一,成員四十年的累算權益便會減少兩成三,即約六十九萬元付予受託人作行政費;若費用增加到百分之二,累算權益便再跌三成九至一百八十五萬元。]
我想問[減少兩成三,即約六十九萬元]是用那一條 formula 計出來的?請將整條 formula 列出來才有分數20分!
更新1:

Excellent! Your Excel formula works. However, what about if I do not use Excel because I do not have any computer. Do you have another formula for me if by using a calculator, like I am doing a homework in class?

回答 (1)

2007-07-18 7:38 pm
✔ 最佳答案
Use Excel Formula to calculate using the function FV(rate,nper,pmt,pv,type) as below:

Type the following in column A and B of Excel worksheet:

Payment per Month (PMT)-------------------------2000
Number of Years---------------------------------------40
Total No. of Pmt.-------------------------------------- =$B$2*12
Return per year (IRR)---------------------------------=(0.05)/12
Admin Fee in %-----------------------------------------0.01
Return per year (IRR)-Admin Fee----------------=(0.05-$B$5)/12

Future value (FV) (no admin fee)---------------- =FV($B$4,$B$3,$B$1)
Future value (FV) (with admin fee)---------------=FV($B$6,$B$3,$B$1)
Difference-------------------------------------------------=B8-B9

***********************************************************************************
You will find the results as below:

Payment per Month (PMT)-------------------------2000
Number of Years---------------------------------------40
Total No. of Pmt.---------------------------------------480
Return per year (IRR)---------------------------------0.4167%
Admin Fee in %-----------------------------------------1%
Return per year (IRR)-Admin Fee----------------0.3333%

Future value (FV) (no admin fee)-----------------(HK$3,052,040.31)
Future value (FV) (with admin fee)---------------(HK$2,363,922.68)
Difference--------------------------------------------------(HK$688,117.63)

2007-07-20 00:34:19 補充:
Future Value (Annuity) = (2000) * [(1+r)^n-1]/(r) where r is the return rate with or without admin fee, i.e. 5%/12 or (5-1)%/12;n is the number of payment.


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