1、Ratio of personal saving to disposable personal income. Disposable personal income is personal income less personal tax and nontax payments. Personal saving is disposable personal income less personal outlays.? 5 = 50% ， ? = 2.5 ， 300 (2.5 12) = 10(2)(1)(4)A = (5-3)/20 = 0.2B = (8-3)/5 = 1(2)60000 年
2、金終值的利息因子= 60000 27.152 = 1629120債)1()(1rtFCPrFttnn ttrFCrC)1()(.)(2(3)(300) (1+ 2%)7= 300 1.149= 344.7(60 (1+2%) + 60) (1+2%) + = 60 1+(1+2%) + (1+2%)2+ (1+2%)3+ (1+2%)4+ + (1+2%)6 = 60 (1+1.02+ 1.04 + 1.061 + 1.082+ 1.104 + 1.126 ) = 445.98 或 60 年金終值的利息因子 = 60 7.434 = 446.04344.7 + 446.04 = 790.74(
3、2)財務自由度=非工資收入支出 = (400 8%) 200 = 16%(3)負債比重=負債總資產= (600 70% + 400 40%) 1000 = 580 1000 = 58%(3)生息資產權數=生息資產/總資產800 2000 = 40%(1)120 (1+3%)5= 120 1.159 = 139.08139.08 50% = 69.54年金現值 = 每年支付額 年金現值利率因子 = 69.54 13.590 = 945.049(4)500 = 每年支付額 13.590 ，每年支付額 = 500 13.59 = 36.7918第一年應付利息金額本金餘額 年利率 = 500 4% =
4、 20第一年應還本金金額平均每年應攤付本息金額每年應付利息金額 = 36.7918 20 = 16.7918第二年應付利息金額本金餘額 年利率 = (500 16.7918) 4% = 19.3283第二年應還本金金額平均每年應攤付本息金額每年應付利息金額 = 36.7918 19.3283 = 17.4635第三年應付利息金額本金餘額 年利率 = (500 16.7918 - 17.4635) 4% = 18.6298第三年應還本金金額平均每年應攤付本息金額每年應付利息金額 = 36.7918 18.6298 = 18.162本金餘額 = (500 -16.7918 - 17.4635 18
5、.162) = 447.583447.583 =每年支付額 年金現值利率因子 =每年支付額 13.166每年支付額 = 33.9954(2)500 =每年支付額 13.59每年支付額增加 = (500 13.59) (500 11.118) = 500 (1/13.59) (1/11.118) = -8.18036(3)160 = 教育準備金 (1+2%)3 = 教育準備金 1.061教育準備金 = 160 1.061 = 150.801150.801 800 = 0.188501(3)150 21% = 31.5 10.5(累進差額) = 21.5 ;此處有修正150 (4 12) 21.5
6、 = 80.580.5 30 500 = 4.83(1)12 年後總教育資金 = 8 年金終值的利息因子 = 8 14.192 = 113.536120 113.536 = 6.464(1)200 (1+?%)60 40 = 200 複利終值的利息因子 = 1345.4複利終值的利息因子 = 6.727(1+?%)20 = 6.727 = 預期報酬率 = 10%(160+?) (1+10%)17 = 1345.4160+? = 1345.4 5.054 = 266.205? = 106.205(4)投資於風險性資產的部位 = 乘數 (擬保險資組合總價值-保險額度) =3 (120 120 80
7、%) = 72 120 72 = 48 投資於無風險資產股票上漲總資產為 120 20 = 140因此，投資於風險性資產的部位 = 3 (140 96) = 132(2)100 複利終值的利息因子(5%, 20) = 100 2.653 = 265.31000 265.3 = 734.7 = ? 年金終值的利息因子(3%, 20) = ? 26.87 ? = 734.7 26.87 = 27.3428(1)1000 2% 20 365 = 1.09589(3)財務自由度=非工資收入支出 = (1000+200+500) 5% 8 12 = 0.885417(2)(1000 50400 10%) 1000) 1000 = 9%(4)2412(10-6) = 50%(1)(100+300)(1+10%) (3005%) 400)100 = 25%(3) (2)5 年金終值的利息因子(12%12, 13) = 5 13.809 - 5= 64.045期滿總共領取 = 50000 (1+12%12) + (1+12%12)2+ (1+12%12)3+ (1+12%12)4+ + (1+12%12)12 =(4)(4)(1)(2)
