Question

In: Finance

A new server system costs $450,000, plus $50,000 for installation. The server will have a useful...

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?

Solutions

Expert Solution

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

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