题目
A client requires ￡100,000 one year from now. If the stated annual rate is 2.50% compounded weekly, the deposit needed today is closest to:
选项
A.￡97,500.
B.￡97,532.
C.￡97,561.
答案
B
解析
B is correct because ￡97,531 represents the present value (PV) of ￡100,000 received one year from today when today’s deposit earns a stated annual rate of 2.50% and interest compounds weekly, as shown in the following equation (where FV is future value):「huixue_img/importSubject/1564548693305200640.png」
B正确。 年利率为2.50%，每年按周计息，￡97,531表示一年后收到的这￡100,000钱现值(PV): 方法一：PV=FV(1＋rs/m)^(-mN), PV=￡100,000(1＋0.025/52)^(-52)= ￡97,531.58 方法二：FV=100,000，N=52，I/Y=2.5/52，PMT=0，CPT PV=-97,531.58