In: Accounting
Expand Your Critical Thinking 25-02 a-c
Hawke Skateboards is considering building a new plant. Bob
Skerritt, the company’s marketing manager, is an enthusiastic
supporter of the new plant. Lucy Liu, the company’s chief financial
officer, is not so sure that the plant is a good idea. Currently,
the company purchases its skateboards from foreign manufacturers.
The following figures were estimated regarding the construction of
a new plant.
Cost of plant | $3,360,000 | Estimated useful life | 15 years | ||||
Annual cash inflows | 3,360,000 | Salvage value | $1,680,000 | ||||
Annual cash outflows | 2,974,000 | Discount rate | 11% |
Bob Skerritt believes that these figures understate the true
potential value of the plant. He suggests that by manufacturing its
own skateboards the company will benefit from a “buy American”
patriotism that he believes is common among skateboarders. He also
notes that the firm has had numerous quality problems with the
skateboards manufactured by its suppliers. He suggests that the
inconsistent quality has resulted in lost sales, increased warranty
claims, and some costly lawsuits. Overall, he believes sales will
be $168,000 higher than projected above, and that the savings from
lower warranty costs and legal costs will be $50,000 per year. He
also believes that the project is not as risky as assumed above,
and that a 9% discount rate is more reasonable.
1: Compute the net present value of the project based on the original projections
2: Compute the net present value incorporating Bob’s estimates of the value of the intangible benefits, but still using the 11% discount rate
3:Compute the net present value using the original estimates, but employing the 9% discount rate that Bob suggests is more appropriate.
Part 1
Year | PV factor @ 11% | Remarks |
1 | 0.90090 | = 1 / 1.11 |
2 | 0.81162 | = 0.9009 / 1.11 |
3 | 0.73119 | = 0.81162 / 1.11 |
4 | 0.65873 | = 0.73119 / 1.11 |
5 | 0.59345 | = 0.65873 / 1.11 |
6 | 0.53464 | = 0.59345 / 1.11 |
7 | 0.48166 | = 0.53464 / 1.11 |
8 | 0.43393 | = 0.48166 / 1.11 |
9 | 0.39092 | = 0.43393 / 1.11 |
10 | 0.35218 | = 0.39092 / 1.11 |
11 | 0.31728 | = 0.35218 / 1.11 |
12 | 0.28584 | = 0.31728 / 1.11 |
13 | 0.25751 | = 0.28584 / 1.11 |
14 | 0.23199 | = 0.25751 / 1.11 |
15 | 0.20900 | = 0.23199 / 1.11 |
Total | 7.19087 |
Annual cash inflows | 3,360,000 | ||
Less: Annual cash outflows | 2,974,000 | ||
Net annual cash flows | 386,000 | ||
Amount | Multiply: PV factor | Present value | |
Cost of plant | (3,360,000) | 1.00000 | (3,360,000) |
Net annual cash flows | 386,000 | 7.19087 | 2,775,676 |
Salvage value | 1,680,000 | 0.20900 | 351,120 |
Net present value | (233,204) | ||
This project should be rejected. | Rejected | ||
[Negative NPV is rejected] |
Part 2
Annual cash inflows (3360000+168000) | 3,528,000 | ||
Less: Annual cash outflows (2974000-50000) | 2,924,000 | ||
Net annual cash flows | 604,000 | ||
Amount | Multiply: PV factor | Present value | |
Cost of plant | (3,360,000) | 1.00000 | (3,360,000) |
Net annual cash flows | 604,000 | 7.19087 | 4,343,285 |
Salvage value | 1,680,000 | 0.20900 | 351,120 |
Net present value | 1,334,405 | ||
This project should be Accepted | Accepted | ||
[Positive NPV is accepted] |
Part 3
Year | PV factor @ 9% | Remarks |
1 | 0.91743 | = 1 / 1.09 |
2 | 0.84168 | = 0.91743 / 1.09 |
3 | 0.77218 | = 0.84168 / 1.09 |
4 | 0.70843 | = 0.77218 / 1.09 |
5 | 0.64993 | = 0.70843 / 1.09 |
6 | 0.59627 | = 0.64993 / 1.09 |
7 | 0.54703 | = 0.59627 / 1.09 |
8 | 0.50187 | = 0.54703 / 1.09 |
9 | 0.46043 | = 0.50187 / 1.09 |
10 | 0.42241 | = 0.46043 / 1.09 |
11 | 0.38753 | = 0.42241 / 1.09 |
12 | 0.35553 | = 0.38753 / 1.09 |
13 | 0.32618 | = 0.35553 / 1.09 |
14 | 0.29925 | = 0.32618 / 1.09 |
15 | 0.27454 | = 0.29925 / 1.09 |
Total | 8.06069 |
Annual cash inflows | 3,360,000 | ||
Less: Annual cash outflows | 2,974,000 | ||
Net annual cash flows | 386,000 | ||
Amount | Multiply: PV factor | Present value | |
Cost of plant | (3,360,000) | 1.00000 | (3,360,000) |
Net annual cash flows | 386,000 | 8.06069 | 3,111,426 |
Salvage value | 1,680,000 | 0.27454 | 461,227 |
Net present value | 212,654 | ||
This project should be Accepted | Accepted | ||
[Positive NPV is accepted] |