In: Finance
Please see answer below. Can someone please explain how to get the answer with excel?
Company C is seeking for help to decide this option to choose to upgrade their current bottleneck equipment. There are two vendors and one rental option. The cost details are shown in the table below.
Option |
Vender R |
Vender T |
Rental |
Initial Cost |
75000 |
125000 |
0 |
Annual Operation Cost |
28000 |
12000 |
52000 |
Salvage Value |
0 |
30000 |
0 |
Estimated Life in Year |
2 |
3 |
Maximum 3 years |
MARR = 10% per year compounded monthly.
P3 | ||||
PP - Year | ||||
CP- Month | ||||
Time Window - Year | ||||
Year | R | T | ||
PMT | ($71,487.79) | ($53,659.67) | ||
Winner | ||||
2 | T vs. Rental | |||
T | Rental | |||
PMT | ($71,487.79) | AW= | $ (52,000.00) | |
Winner |
Year | Amount | PV factor 10% [1/(1+r)^n] | PV | |||
Vendor R | 0 | (75,000.00) | 1.000 | (75,000.00) | ||
Initial cost | 75,000.00 | $ | 1 | (28,000.00) | 0.909 | (25,454.55) |
Annual cost | 28,000.00 | $ | 2 | (28,000.00) | 0.826 | (23,140.50) |
Salvage value | - | $ | Total | 1.736 | (123,595.041) | |
Life | 2 | Years | ||||
Rate | 10 | % | AW= | (71,195.30) |
Year | Amount | PV factor 10% [1/(1+r)^n] | PV | |||
Vendor T | 0 | (125,000.00) | 1.000 | (125,000.00) | ||
Initial cost | 125,000.00 | $ | 1 | (12,000.00) | 0.909 | (10,909.09) |
Annual cost | 12,000.00 | $ | 2 | (12,000.00) | 0.826 | (9,917.36) |
Salvage value | 30,000.00 | $ | 3 | 18,000.00 | 0.751 | 13,523.67 |
Life | 3 | Years | Total | 2.487 | (132,302.78) | |
Rate | 10 | % | ||||
AW= | (53,200.91) |
Year | Amount | PV factor 10% [1/(1+r)^n] | PV | |||
Rental | 1 | (52,000.00) | 0.909 | (47,272.73) | ||
Annual cost | 52,000.00 | $ | 2 | (52,000.00) | 0.826 | (42,975.21) |
Life | 3 | Years | 3 | (52,000.00) | 0.751 | (39,068.37) |
Rate | 10 | % | Total | 2.487 | (129,316.30) | |
AW= | (52,000.00) |
Alternative | AW | |
Vendor R | (71,195.30) | |
Vendor T | (53,200.91) | |
Rental | (52,000.00) | |
Conclusion | ||
1 | While considering only vendors, vendor T is having lowest AW. SO vendor T should be selected | |
2 | While considering 3 options, rental provides low AW. So rental should be selected |
Notes: |
1. Salvage value is adjusted with last year cash outflow |
2. AW = Total discounted outflow / total pv factor |
3. In total PV factor, 0th year factor will not be considered |