问题求解

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大家好。一个问题我一时没法明白，能否请高人指点一下？

Investment Science by David Luenberger
Chapter 2 P.36
#9 (An appraisal) You are considering the purchase of a nice home. It is in every way perfect for you and in excellent condition, except for the roof. The roof has only 5 years of life remaining. A new roof would last 20 years, but would cost $20,000. The house is expected to last forever. Assuming that costs will remain constant and tht the interest rate is 5%, what value would you assign to the existing roof?

书后的答案是 $6,948. 请问这个数字是怎么来的？

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关键词：问题求解 Considering Investment Luenberger investmen 问题求解

先从一个新的屋顶可以用20年，推出每年这个屋顶折旧多少钱
由PV=20000, N=20, i=5%,得PMT =1604.852

再由每年屋顶折旧1604.852，旧屋顶还剩5年可用，推出旧屋顶的现值
PMT=1604.852, N=5, i=5%, 得PV=6948

2# killer1832 非常感谢！