In: Finance
Machine A 0 1 2 3 4
-10,000 4000 4000 4,000 4000
Machine B 0 1 2 3
-5,000 3,000 3,000 3,000
Which machine should Campbell choose? Assume the cost of capital is 9%.
To decide which machine should Campbell choose we need to find out the Net Present Value or NPV of the machine. Machine with the higher NPV will be selected.
Calculation of Net Present Value
MACHINE A | |||
Years | Cash inflows ($) | Discounting Factor @ 9% | Present Value($) |
1 | 4,000 | 0.9174 | 3669.7248 |
2 | 4,000 | 0.8417 | 3366.7200 |
3 | 4,000 | 0.7722 | 3088.7339 |
4 | 4,000 | 0.7084 | 2833.7008 |
Total Present Value (A) | 12,958.8795 | ||
Initial Investment (B) | 10,000.00 | ||
Net Present Value (A-B) | 2,958.8795 |
MACHINE B | |||
Years | Cash inflows ($) | Discounting Factor @ 9% | Present Value($) |
1 | 3,000 | 0.9174 | 2752.2936 |
2 | 3,000 | 0.8417 | 2525.0400 |
3 | 3,000 | 0.7722 | 2316.5504 |
Total Present Value (A) | 7,593.8840 | ||
Initial Investment (B) | 5,000.00 | ||
Net Present Value (A-B) | 2,593.8840 |
Since Machine A has higher Net Present Value than Machine B, it should be selected.