In: Finance
A new server system costs $450,000, plus $50,000 for installation. The server will have a useful life of 6 years, but you need to know its most economic life. Assume straight line depreciation will result in $150,000 salvage value at the end of 6 years. Installation costs cannot be depreciated. Operating and maintenance costs are expected to be $40,000 the first year, increasing by $15,000 each year thereafter. Your MARR is 8%.
What is EAC (Capital) when n = 4 years?
Calculation of present value of operating and maintenance Cost :
Year | Operating and maintenance Cost | PV @ 8% | Present value |
1 | 40,000.00 | 0.9259 | 37,036.00 |
2 | 55,000.00 | 0.8573 | 47,151.50 |
3 | 70,000.00 | 0.7938 | 55,566.00 |
4 | 85,000.00 | 0.735 | 62,475.00 |
Total | 202,228.50 |
Cost of System | 450,000.0000 | |
Add | Installation | 50,000.0000 |
Initial outlay | 500,000.0000 | |
Add | PV of annual operating cost | 202,228.5000 |
Less | Present value of salvage value | |
(150000*1/1.08^6) | 94,515.0000 | |
607,713.5000 | ||
PVAF ( 8%,4) | 3.3121 | |
EAC ( Total/PVAF) | 183,482.8357 |
Present value Annuity Factor ( 8%,4) = | 1/(1.08)^1 +…………... 1/(1.08)^4 | ||
Present valueFactor(8%,n) = | 1/(1.08)^n |