Excel and written paper for business finance
Question 1
| Your power plant on Gilligan's Island is producing too much air pollution. You have three choices for dealing with this problem. | ||||||||||
| 1. You can pay a pollution tax (one time) of $10m immediately. | ||||||||||
| 2. You can close the plant and install a power cable from the mainland. That will cost you $1m at the end of this year, $3m at the end of next year (construction costs) and then $.05m forever after that for maintenance. | ||||||||||
| 3. You can retrofit the plant switch scrubbers to reduce the emissions. That will cost $9m at the end of this year and $.01m forever after that for maintenance. | ||||||||||
| Assume that the cost of generating power on the mainland is approximately the same as the cost of generating power at your Gilligan's Island plant and assume your cost of capital (WACC) is 10%. Which alternative world you choose? | ||||||||||
| 1 | 10m | |||||||||
| 2 | ||||||||||
| Years | 0 | 1 | 2 | 3 | 4 | …. | ||||
| Payments | 0 | 1m | 3m | .5m | .5m | …. | ||||
| r | = | 0.5 | = | 5m | ||||||
| 0.1 | ||||||||||
| Gilligan's Island will run a cable from the mainland for power and shut down the coconut power plant on the Island. This is a sad day for the island, but it’s the cost of going green here at Gilligan's Island. (You have to make sure you sing "Here at Gilligan's Island.") | ||||||||||
| 1.m | + | 3.m | + | 5.m | = | 7,145,004 | ||||
| 1.1 | 1.1^2 | 1.3^3 | ||||||||
| 3 | ||||||||||
| Years | 0 | 1 | 2 | 3 | …. | |||||
| Payments | 0 | 9m | 0.1m | .1m | …. | |||||
| r | = | 0.1 | = | 1m | ||||||
| 0.1 | ||||||||||
| 9.m | + | 1m | = | 9,008,264 | ||||||
| 1.1 | 1.1^2 |
Question 2
| Start Up | Year's | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | ||
| Locations | 25 | Fixed Assets | (20,000,000) | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | 7,000,000 | 0 | |
| Start Up | 20,000,000 | Rev | - | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | 50,000,000 | ||
| Land | 1/4 of Startup | Cost | - | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | (45,000,000) | ||
| Depreciation | 750,000 | Wage Cost | - | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | (250,000) | ||
| Land in 20 years | 7,000,000 | Deprication | - | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | (750,000) | ||
| Expected Sales and Cost | EBIT | - | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | 4,000,000 | |||
| Average Sales | 2,000,000 | Interest | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | - | ||
| Operating Costs | 1,800,000 | Tax | - | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | (1,320,000) | ||
| Working Capital Need | Net Income | - | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | 2,680,000 | |||
| First Year | 1,000,000 | Deprication | - | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | 750,000 | ||
| frist five years | 100,000 | Operation Captial | - | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | ||
| Final Two Years | -750,000 | Working Capital | (1,000,000) | (1,100,000) | (1,200,000) | (1,300,000) | (1,400,000) | (1,500,000) | - | - | - | - | - | - | - | - | - | - | - | - | - | (750,000) | (750,000) | ||
| Wages | Change in WC | 1,000,000 | 100,000 | 100,000 | 100,000 | 100,000 | 100,000 | - | - | - | - | - | - | - | - | - | - | - | - | - | (750,000) | (750,000) | |||
| Brother-n-Law | 100,000 | Project Cash Flow | (21,000,000) | 3,330,000 | 3,330,000 | 3,330,000 | 3,330,000 | 3,330,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 3,430,000 | 2,680,000 | 9,680,000 | ||
| Real workers | 250,000 | Discount Factor | 1 | 0.906 | 0.820 | 0.743 | 0.673 | 0.610 | 0.552 | 0.500 | 0.453 | 0.410 | 0.372 | 0.337 | 0.305 | 0.276 | 0.250 | 0.227 | 0.205 | 0.186 | 0.168 | 0.153 | 0.138 | ||
| WACC and Tax Rate | PV | (21,000,000) | 3,016,304 | 2,732,160 | 2,474,782 | 2,241,651 | 2,030,481 | 1,894,435 | 1,715,974 | 1,554,324 | 1,407,902 | 1,275,274 | 1,155,139 | 1,046,322 | 947,755 | 858,474 | 777,603 | 704,351 | 637,999 | 577,897 | 408,999 | 1,338,116 | |||
| Firm's WACC | 10% | NPV | 7,795,942 | ||||||||||||||||||||||
| Dount's WACC | 0.1040 | ||||||||||||||||||||||||
| Tax Rate | 33% | ||||||||||||||||||||||||
| 1 | 1,000,000 | 6.7274999493 | 6727499.94932561 | ||||||||||||||||||||||
| 2 | 100,000 | 6.1159090448 | 611590.904484146 | ||||||||||||||||||||||
| 3 | 100,000 | 5.5599173135 | 555991.731349224 | ||||||||||||||||||||||
| 4 | 100,000 | 5.054470285 | 505447.028499294 | ||||||||||||||||||||||
| 5 | 100,000 | 4.5949729864 | 459497.298635722 | ||||||||||||||||||||||
| 5559917.31349224 | |||||||||||||||||||||||||
| 2,663,637 | |||||||||||||||||||||||||
| $8,223,554 | |||||||||||||||||||||||||
| 2 | |||||||||||||||||||||||||
| $4,111,777.16 | |||||||||||||||||||||||||
| $4,522,954.87 |