Question

The council members of a small town have decided that the earth levee that protects the town from flooding should be rebuilt and strengthened. The town engineer estimates that the cost of the work at the end of the first year will be $68,000. He estimates that in subsequent years the annual repair costs will decline by $7000, making the second-year cost $61,000; the third-year $54,000, and so forth. The council members want to know what the equivalent present cost is for the first 5 years of repair work if interest is 6%.

Answer 1

$230,899

Step-by-step explanation:

Calculation for what the equivalent present cost is for the first 5 years

Present cost of the repair work = 68,000 * (P/A, 6%,5) - 7,000 * (P/G, 6%,5)

Present cost of the repair work= 68,000 * 4.212364 - 7,000 * 7.934549

Present cost of the repair work= $230,898.90 Approximately $230,899

Therefore the Present cost of the repair work will be $230,899