In: Accounting
Quantitative Problem: Sunshine Smoothies Company (SSC) manufactures and distributes smoothies. SSC is considering the development of a new line of high-protein energy smoothies. SSC's CFO has collected the following information regarding the proposed project, which is expected to last 3 years:
The project can be operated at the company's Charleston plant, which is currently vacant.
The project will require that the company spend $4.9 million today (t = 0) to purchase additional equipment. For tax purposes the equipment will be depreciated on a straight-line basis over 5 years. Thus, the firm's annual depreciation expense is $4,900,000/5 = $980,000. The company plans to use the equipment for all 3 years of the project. At t = 3 (which is the project's last year of operation), the equipment is expected to be sold for $2,300,000 before taxes.
The project will require an increase in net operating working capital of $650,000 at t = 0. The cost of the working capital will be fully recovered at t = 3 (which is the project's last year of operation).
Expected high-protein energy smoothie sales are as follows:
Year | Sales |
1 | $3,200,000 |
2 | 7,900,000 |
3 | 2,950,000 |
The project's annual operating costs (excluding depreciation) are expected to be 60% of sales.
The company's tax rate is 40%.
The company is extremely profitable; so if any losses are incurred from the high-protein energy smoothie project they can be used to partially offset taxes paid on the company's other projects. (That is, assume that if there are any tax credits related to this project they can be used in the year they occur.)
The project has a WACC = 10.0%.
What is the project's expected NPV and IRR? Round your answers to 2 decimal places. Do not round your intermediate calculations.
NPV | $ |
IRR | % |
Should the firm accept the project?
-Select-The firm should accept the project.The firm should not
accept the project.Correct 7 of Item 1
SSC is considering another project: the introduction of a
"weight loss" smoothie. The project would require a $3 million
investment outlay today (t = 0). The after-tax cash flows would
depend on whether the "weight loss" smoothie is well received by
consumers. There is a 40% chance that demand will be good, in which
case the project will produce after-tax cash flows of $1.86 million
at the end of each of the next 3 years. There is a 60% chance that
demand will be poor, in which case the after-tax cash flows will be
$0.52 million for 3 years. The project is riskier than the firm's
other projects, so it has a WACC of 11%. The firm will know if the
project is successful after receiving the cash flows the first
year, and after receiving the first year's cash flows it will have
the option to abandon the project. If the firm decides to abandon
the project the company will not receive any cash flows after t =
1, but it will be able to sell the assets related to the project
for $2.8 million after taxes at t = 1. Assuming the company has an
option to abandon the project, what is the expected NPV of the
project today? Round your answer to 2 decimal places. Do not round
your intermediate calculations. Use the values in "millions of
dollars" to ascertain the answer.
$ millions of dollars
Computation of NPV and IRR:
Year |
0 |
1 |
2 |
3 |
Sales |
3,200,000 |
7,900,000 |
2,950,000 |
|
Less: operating cost 60% |
(1,920,000) |
(4,740,000) |
(1,770,000) |
|
Less: depreciation |
(980,000) |
(980,000) |
(980,000) |
|
Add: salvage value |
2,300,000 |
|||
Profit before tax |
300,000 |
2,180,000 |
2,500,000 |
|
Less: tax at 40% |
(120,000) |
(872,000) |
(1,000,000) |
|
Profit after tax |
180,000 |
1,308,000 |
1,500,000 |
|
Cash flows |
(4,900,000) |
1,160,000 |
2,288,000 |
2,480,000 |
Working capital |
(650,000) |
650,000 |
||
Total cash flows |
(5,550,000) |
1,160,000 |
2,288,000 |
3,130,000 |
Discounting factor at 10% |
1 |
0.909091 |
0.826446 |
0.751315 |
PV of cash flows |
(5,550,000) |
1,054,545.45 |
1,890,909.09 |
2,351,615.33 |
NPV |
(252,930.13) |
|||
IRR |
7.74% |
Here, we can see the NPV is negative,
thus, the firm cannot accept the project.
2. Assuming that the project has abandon the project (since, firm
will know if the project is successful after receiving the cash
flows the first year, and after receiving the first year's cash
flows it will have the option to abandon the project, thus the
successful is nothing but the chance of 40% demand will be
good)
Year |
0 |
1 |
Cash flows |
(3,000,000) |
1,860,000 |
Add: salvage value |
2,800,000 |
|
Total cash flows |
(3,000,000) |
4,660,000 |
Discounting factor at 11% |
1 |
0.90090 |
PV of cash flows |
(3,000,000) |
4,198,198.20 |
NPV |
1,198,198.20 |