题目
Bennett Bank extends a 5% APR (annual percentage rate) USD 100,000 30-year mortgage requiring monthly payments. If the mortgage is structured so that it requires interest-only payments for the first 5 years, after which point it becomes a self-amortizing mortgage, what would be the portion of the monthly payment applied to the principal in the 61st month?
选项
A.USD 167.92
B.USD 174.60
C.USD 584.59
D.USD 591.27
答案
A
解析
N=25×12=300,I/Y=5/12=0.4167,PV=100,000,FV=0,PMT=-584.59Interest in the 61st month =100,000×5%/12=416.67Principal in the 61st month =584.59–416.67=167.92 这里的前5年，只支付利息，本金的支付在第61个月开始的，其实相当于前5年我付的这个钱是房租。然后就是正常的计算了。 N=25×12=300, I/Y=5/12=0.4167, PV=100,000, FV=0,PMT=?584.59 第61个月的应还利息=100,000×5%/12=416.67 第61个月的应还本金 =584.59–416.67=167.92