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 |