In: Accounting
Los Dangles is considering a new machine which will reduce net cash inflow by $40 000 in the current year, but increase net cash inflow by $8000, $12000, $16000, $20 000, $24 000 and $28 000 in the following six years.
a. If Los Dangles’ cost of capital is 10 per cent, should it buy the machine?
b. If Los Dangles’ cost of capital is 20 per cent, should it buy the machine?
c. What is the IRR for the machine?
d. Advise management on the purchase of the machine.
a) | |||
Year | Cash Flow | Discount Rate @10% | Present Value |
0 | $ (40,000.00) | 1.0000 | $ (40,000.00) |
1 | $ 8,000.00 | 0.9091 | $ 7,272.73 |
2 | $ 12,000.00 | 0.8264 | $ 9,917.36 |
3 | $ 16,000.00 | 0.7513 | $ 12,021.04 |
4 | $ 20,000.00 | 0.6830 | $ 13,660.27 |
5 | $ 24,000.00 | 0.6209 | $ 14,902.11 |
6 | $ 28,000.00 | 0.5645 | $ 15,805.27 |
NPV | $ 33,578.77 | ||
It should buy the machine because NPV is positive. | |||
b) | |||
Year | Cash Flow | Discount Rate @20% | Present Value |
0 | $ (40,000.00) | 1.0000 | $ (40,000.00) |
1 | $ 8,000.00 | 0.8333 | $ 6,666.67 |
2 | $ 12,000.00 | 0.6944 | $ 8,333.33 |
3 | $ 16,000.00 | 0.5787 | $ 9,259.26 |
4 | $ 20,000.00 | 0.4823 | $ 9,645.06 |
5 | $ 24,000.00 | 0.4019 | $ 9,645.06 |
6 | $ 28,000.00 | 0.3349 | $ 9,377.14 |
NPV | $ 12,926.53 | ||
It should buy the machine because NPV is positive. | |||
c) | |||
Year | Cash Flow | ||
0 | $ (40,000.00) | ||
1 | $ 8,000.00 | ||
2 | $ 12,000.00 | ||
3 | $ 16,000.00 | ||
4 | $ 20,000.00 | ||
5 | $ 24,000.00 | ||
6 | $ 28,000.00 | ||
IRR | 29.82% | ||
d) The management should buy the machine as NPV is positive and IRR is greater than the cost of capital. |