In: Finance
Air conditioning for a college dormitory will cost $2.8 million to install and $135,000 per year to operate at current prices. The system should last 12 years. The real cost of capital is 8%, and the college pays no taxes. What is the equivalent annual cost? (Enter your answer in dollars not in millions and round your answer to 2 decimal places.)
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First, we will calculate the Net Present value of cash outflows:
Year | Cash Flows ($) | PV Factor @8.00% | Present Value ($) |
0 | 2,800,000.00 | 1.0000 | 2,800,000.00 |
1 | 135,000.00 | 0.9259 | 125,000.00 |
2 | 135,000.00 | 0.8573 | 115,740.74 |
3 | 135,000.00 | 0.7938 | 107,167.35 |
4 | 135,000.00 | 0.7350 | 99,229.03 |
5 | 135,000.00 | 0.6806 | 91,878.73 |
6 | 135,000.00 | 0.6302 | 85,072.90 |
7 | 135,000.00 | 0.5835 | 78,771.20 |
8 | 135,000.00 | 0.5403 | 72,936.30 |
9 | 135,000.00 | 0.5002 | 67,533.61 |
10 | 135,000.00 | 0.4632 | 62,531.12 |
11 | 135,000.00 | 0.4289 | 57,899.19 |
12 | 135,000.00 | 0.3971 | 53,610.36 |
NPV | 3,817,370.53 |
Calculating Equivalent annual cost using the formula:
Where, NPV = $3817,370.53
r = Cost of Capital = 8%
n = no of years = 12
EAC = $ 506546.05
So, Equivalent Annual Cost = $ 506,546.05