题目
Grandparents are funding a newborn’s future university tuition costs, estimated at $50,000/year for four years, with the first payment due as a lump sum in 18 years. Assuming a 6% effective annual rate, the required deposit today is closest to:
选项
A.$60,699.
B.$64,341.
C.$68,201.
答案
B
解析
B is correct. First, find the present value (PV) of an ordinary annuity in Year 17 that represents the tuition costs:「huixue_img/importSubject/1564548691832999936.png」Then, find the PV of the annuity in today’s dollars (where FV is future value):「huixue_img/importSubject/1564548691900108800.png」 B正确。 在BNG模式下，计算4笔学费在t=18时间点上的PV18： FV=0，N=4，I/Y=6，PMT=-50,000，CPT PV18=183,650.5975 在END模式下，将PV18折现到t=0时间点： FV18=PV18=183,650.5975，N=18，I/Y=6，PMT=0，CPT PV=64,340.8456