Q2- Data for two very expensive printers are listed below. If the interest rate is 12%, based on equivalent uniform annual cost (EUAC), which printer should be bought?
please explain all steps and show equations. thank you.
A |
B |
|
First Cost |
$30,000 |
$36,000 |
Annual Maintenance |
1,500 |
2,000 |
Salvage value |
5,000 |
8,000 |
Useful life |
6 years |
6 years |
Project A: | |||||
Annual maintenance cost | -1500 | ||||
Annutiy PVF at 12% for 6 years | 4.11141 | ||||
Present value of Annual Maintenance cost | -6167.12 | ||||
First cost | -30000 | ||||
Total cash outflows | -36167.1 | ||||
Less: Present value of Salvage | 2533.155 | ||||
(5000*0.506631) | |||||
Net present value | -33634 | ||||
Divide: Anuity PVF | 4.11141 | ||||
Equiavalent Annual cashflows | -8180.64 | ||||
Project B | |||||
Annual maintenance cost | -2000 | ||||
Annutiy PVF at 12% for 6 years | 4.11141 | ||||
Present value of Annual Maintenance cost | -8222.82 | ||||
First cost | -36000 | ||||
Total cash outflows | -44222.8 | ||||
Less: Present value of Salvage | 4053.048 | ||||
(8000*0.506631) | |||||
Net present value | -40169.8 | ||||
Divide: Anuity PVF | 4.11141 | ||||
Equiavalent Annual cashflows | -9770.32 | ||||
Project A shall be Accepted | |||||
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