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 |