In: Finance
ManBearPig TV project has annual cash flows of $8000 for the next 8 years and then $12,000 each year for the following 5 years. The IRR of this 13-year project is 14%. If the firm's WACC is 12%, what is the project's NPV?
Year | Discounting
Factor [1/(1.13^year)] |
Cash Flow | PV of Cash
Flows (cash flow*discounting factor) |
1 | 0.884955752 | 8000 | 7079.646018 |
2 | 0.783146683 | 8000 | 6265.173467 |
3 | 0.693050162 | 8000 | 5544.401298 |
4 | 0.613318728 | 8000 | 4906.549821 |
5 | 0.542759936 | 8000 | 4342.079488 |
6 | 0.480318527 | 8000 | 3842.548219 |
7 | 0.425060644 | 8000 | 3400.48515 |
8 | 0.376159862 | 8000 | 3009.278894 |
9 | 0.332884833 | 12000 | 3994.618001 |
10 | 0.294588348 | 12000 | 3535.060178 |
11 | 0.260697653 | 12000 | 3128.371839 |
12 | 0.230705888 | 12000 | 2768.470654 |
13 | 0.204164502 | 12000 | 2449.97403 |
Initial
Investment = Sum of PVs |
54266.65706 |
Year | Discounting
Factor [1/(1.12^year)] |
Cash Flow | PV of Cash
Flows (cash flow*discounting factor) |
0 | 1 | -54266.6571 | -54266.65706 |
1 | 0.892857143 | 8000 | 7142.857143 |
2 | 0.797193878 | 8000 | 6377.55102 |
3 | 0.711780248 | 8000 | 5694.241983 |
4 | 0.635518078 | 8000 | 5084.144627 |
5 | 0.567426856 | 8000 | 4539.414846 |
6 | 0.506631121 | 8000 | 4053.048969 |
7 | 0.452349215 | 8000 | 3618.793723 |
8 | 0.403883228 | 8000 | 3231.065824 |
9 | 0.360610025 | 12000 | 4327.3203 |
10 | 0.321973237 | 12000 | 3863.678839 |
11 | 0.287476104 | 12000 | 3449.713249 |
12 | 0.256675093 | 12000 | 3080.101115 |
13 | 0.22917419 | 12000 | 2750.090282 |
NPV
= Sum of PVs |
2945.36486 |