Question

In: Finance

■Machine A –Initial Cost = $150,000 –Pre-tax operating cost = $65,000 Expected life is 8 years...

■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?

Solutions

Expert Solution

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.


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