X Company must replace one of its current machines with either Machine A or Machine B. The useful life of both machines is seven years. Machine A costs $51,000, and Machine B costs $70,000. Estimated annual cash flows with the two machines are as follows:
Year | Machine A | Machine B |
1 | $-6,000 | $-7,000 |
2 | -8,000 | -4,000 |
3 | -8,000 | -3,000 |
4 | -8,000 | -3,000 |
5 | -6,000 | -3,000 |
6 | -5,000 | -2,000 |
7 | -4,000 | -2,000 |
If X Company buys Machine B instead of Machine A, what is the
payback period (in years)?
Additional cost to Buy Machine B = $70000 - 51000 = $19,000
Year | Cash Flow(Machine A ) | Cash Flow(Machine B ) | Incremental Cash flows | Cumulative Cash flows |
a | b | c | d =c-b | e |
0 | -19000 | -19000 | ||
1 | -6000 | -7000 | -1000 | -20000 |
2 | -8000 | -4000 | 4000 | -16000 |
3 | -8000 | -3000 | 5000 | -11000 |
4 | -8000 | -3000 | 5000 | -6000 |
5 | -6000 | -3000 | 3000 | -3000 |
6 | -5000 | -2000 | 3000 | 0 |
7 | -4000 | -2000 | 2000 | 2000 |
Payback period is 6 years.
X Company must replace one of its current machines with either Machine A or Machine B....
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