NO.PZ2015120604000011
问题如下:
An investor purchased an annuity many years ago. The first payment of the annuity is to be received today. Assume the payment of the annuity is $5,000 constanly , the period the payment is 20 years. and the discount rate is 12%, calculate the today' value of the annuity:
选项:
A.$37,347.
B.$403,493.
C.$41,829.
解释:
C is correct.
Under the BGN mode.
N = 20; PMT = -5,000; I/Y =12; FV = 0; CPT PV = 41,828.89.
应该是FV=0 PMT=5000 N=20 R=12 CPT PV(根据答案倒推) 然后把结果乘以1+r得出了正确答案
但我一开始的理解其实是PV=0 PMT=5000 N=20 R=12 CPT FV
因为虽然在这一时点上(即0时刻是PV)但是站在整个过去年金投资的角度来看这个时刻,不应该是求FV吗?(相当于有了之前的payment才有了此刻FV的回报)