NO.PZ2017092702000013
问题如下:
At a 5% interest rate per year compounded annually, the present value (PV) of a 10-year ordinary annuity with annual payments of $2,000 is $15,443.47. The PV of a 10-year annuity due with the same interest rate and payments is closest to:
选项:
A.
$14,708.
B.
$16,216.
C.
$17,443.
解释:
B is correct.
The present value of a 10-year annuity (A) due with payments of $2,000 at a 5% discount rate is calculated as follows: PV = $16,215.64.
PV = $16,215.64. Alternatively, the PV of a 10-year annuity due is simply the PV of the ordinary annuity multiplied by 1.05: PV = $15,443.47 × 1.05 PV = $16,215.64.
无论是求PV还是FV,Annuity due的值都相当于对应期数的Ordinary Annuity的值再往后复利一期。即可以先求出Ordinary Annuity的PV,在乘以1+r,就是对应的Annuity due的PV。
对于本题而言,Ordinary Annuity的PV直接给出,所以就用给出的15,443.47*(1+0.05)即可得到对应annuity due的PV。即答案B。
这道题如何使用计算器啊