单选题 A consumer is shopping for a home. His budget will support a monthly payment of $1 300 on a 30-year mortgage with an annual interest rate of 7.2 percent. If the consumer puts a 30 percent down on the home, the most he can pay for his new home is closest to:

A、

A. $191518.
B、

B. $210840.
C、

C. $273597.

【正确答案】 C

【答案解析】
[分析] 该消费者的30年期贷款的现值PV为：
PV=13000×(1+0.6%)^-1+13000×(1+0.6%)^-2+…+13000×(1+0.6%)^-360。
=191517.76美元
如果该消费者提供30%的预付定金，则他可以购买的新住房的最高价格为191517.76/(1-30%)=273596.80美元。
[考点] 终值和现值的概念和计算方法