In: Finance
■Machine A
–Initial Cost = $150,000
–Pre-tax operating cost = $65,000
Expected life is 8 years
■Machine B
–Initial Cost = $100,000
–Pre-tax operating cost = $57,500
–Expected life is 6 years
The machine chosen will be replaced indefinitely and neither machine will have a differential impact on revenue. No change in NWC is required.
The required return is 10%, the applicable CCA rate is 20% and the tax rate is 40%.
Which machine should you buy?
Calculation for Machine A
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
initial cost | 150000 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
Depreciation | 30000 | 24000 | 19200 | 15360 | 12288 | 9830.4 | 7864.32 | 6291.46 | |
Pre tax operating cost | 65000 | 65000 | 65000 | 65000 | 65000 | 65000 | 65000 | 65000 | |
Post tax operating cost | 39000 | 39000 | 39000 | 39000 | 39000 | 39000 | 39000 | 39000 | |
Residual value | 30828.1 | ||||||||
Total CF | -150000 | -39000 | -39000 | -39000 | -39000 | -39000 | -39000 | -39000 | -8171.87 |
PV | -150000 | -35455 | -32231 | -29301 | -26638 | -24216 | -22015 | -20013 | -3812.24 |
Total CF | -343681 |
Machine B
0 | 1 | 2 | 3 | 4 | 5 | 6 | |
initial cost | 100000 | 0 | 0 | 0 | 0 | 0 | 0 |
Depreciation | 20000 | 16000 | 12800 | 10240 | 8192 | 6553.6 | |
Pre tax operating cost | 57500 | 57500 | 57500 | 57500 | 57500 | 57500 | |
Post tax operating cost | 34500 | 34500 | 34500 | 34500 | 34500 | 34500 | |
Residual value | 26214.4 | ||||||
Total CF | -100000 | -34500 | -34500 | -34500 | -34500 | -34500 | -8285.6 |
PV | -150000 | -31363.6 | -28512.4 | -25920.4 | -23564 | -21421.8 | -4677.01 |
Total CF | -285459 |
So, Machine A is should be purchased. As yearly expenses is 42K but in Machine B is 47K.