In: Finance
Mystic Beverage Company is considering purchasing a new bottling machine. The new machine costs $230,000, plus installation fees of $10,000 and will generate earning before interest and taxes of $60,000 per year over its 6-year life. The machine will be depreciated on a straight-line basis over its 6-year life to an estimated salvage value of 0. Mystic's marginal tax rate is 40%. Mystic will require $50,000 in NWC if the machine is purchased.
(a) determine the initial outlay
(b) determine the annual cash flows in years 1-6
(c) assume the discount rate is 7%, what is the NPV of this
project?
(d) What is the IRR of this project
€ should the project be accepted or rejected?
Ans a) | Computation of initial investment | ||||||||
Cost of machine | 230000 | ||||||||
add | installation cost | 10000 | |||||||
Total Cost of machine | 240000 | ||||||||
add | working capital | 50000 | |||||||
Total initial investment | 290000 | ||||||||
Ans = | -290000 | ||||||||
Ans b) | Annual cash flow | ||||||||
year | 1 | 2 | 3 | 4 | 5 | 6 | |||
i | EBIT = | 60000 | 60000 | 60000 | 60000 | 60000 | 60000 | ||
ii | Depreciation = 240000/6 | 40000 | 40000 | 40000 | 40000 | 40000 | 40000 | ||
iii=i-ii | EBT | 20000 | 20000 | 20000 | 20000 | 20000 | 20000 | ||
iv=iii*40% | Tax @ 40% | 8000 | 8000 | 8000 | 8000 | 8000 | 8000 | ||
v=iii-iv | Earning after tax | 12000 | 12000 | 12000 | 12000 | 12000 | 12000 | ||
vi=v+ii | Operating cash flow | 52000 | 52000 | 52000 | 52000 | 52000 | 52000 | ||
vii | Working capital release | 50000 | |||||||
viii=vii+vi | Net cash flow | 52000 | 52000 | 52000 | 52000 | 52000 | 102000 | ||
Ans c) | Computation of NPV | ||||||||
year | Cash flow | PVIF @ 7% | present value | ||||||
0 | -290000 | 1 | (290,000.00) | ||||||
1 | 52000 | 0.934579439 | 48,598.13 | ||||||
2 | 52000 | 0.873438728 | 45,418.81 | ||||||
3 | 52000 | 0.816297877 | 42,447.49 | ||||||
4 | 52000 | 0.762895212 | 39,670.55 | ||||||
5 | 52000 | 0.712986179 | 37,075.28 | ||||||
6 | 102000 | 0.666342224 | 67,966.91 | ||||||
(8,822.83) | |||||||||
NPV = | (8,822.83) | ||||||||
Ans d) | IRR = | 6.09% | << using excel formula>> | ||||||
Project should not be accepted and should be REJECTED as NPV is negative |