题目
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.
答案
B
解析
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:「huixue_img/importSubject/1564548693162594304.png」Alternatively, the PV of a 10-year annuity due is simply the PV of the ordinary annuity multiplied by 1.05:「huixue_img/importSubject/1564548693229703168.png」 原版书的公式比较复杂，如果计算器在手边的话，可以用计算器求解：N=10, I/Y=5, FV=0, PMT=-2,000 [END] CPT PV=15,443.46986 N=10, I/Y=5, FV=0, PMT=-2,000 [BGN] CPT PV=16,215.64335 15,443.46986*1.05=16,215.64335