题目
A homeowner has a 30-year, 5% fixed rate mortgage with a current balance of USD 250,000. Mortgage rates have been decreasing. Which of the following is closest to the amount that the homeowner would save in monthly mortgage payments if the existing mortgage was refinanced into a new 30-year, 4% fixed rate mortgage?
选项
A.USD 145
B.USD 150
C.USD 155
D.USD 160
答案
B
解析
Calculate the mortgage payment factors for the 30-year, 5% and 4% fixed rate mortgages, then calculate the mortgage payment savings.N=30×12, I/Y=5/12, PV=250,000, FV=0, CPT PMT=-1342; N=30×12, I/Y=4/12, PV=250,000, FV=0, CPT PMT=-1194; Save: 1342 – 1194 = 148.5%的固定利率抵押贷款：N=30×12=360，I/Y=5/12，PV=-250,000，FV=0，可得PMT=-1,342.05。 4%的固定利率抵押贷款：N=30×12=360，I/Y=4/12，PV=-250,000，FV=0，可得PMT=-1,193.54所以，每个月节省1,342.05-1,193.54=148.51.