Question

The pumping cost for delivering water from the Ohio River to Wheeling Steel for cooling hot rolled steel was $1.8 million for the first 4 years. An effective energy conservation program resulted in a reduced cost of $1.77 million in year 5, and $1.74 million in year 6, and amounts decreasing by $30,000 each year through year 10. What is the present worth of the pumping costs in year 0 at an interest rate of 6% per year

Answer 1

Year Annual cost PV factor at 12% Present value
1 $1,800,000 0.893 $1.607,400
2 $1,800,000 0.797 $1,434,600
3 $1,800,000 0.712 $1,281,600
4 $1,800,000 0.636 $1,144,800
5 $1,770,000 0.567 $1,003,590
6 $1,740,000 0.507 $882,180
7 $1,710,000 0.452 $772,920
8 $1,680,000 0.404 $678,720
9 $1,650,000 0.361 $595,650
10 $1,620,000 0.322 $521,640
Present worth $9,923,100