In: Finance
Project L costs $64,749.69, its expected cash inflows are $13,000 per year for 10 years, and its WACC is 14%. What is the project's IRR? Round your answer to two decimal places.
Ans 15.20%
Year | Project Cash Flows (i) | DF@ 12% | DF@ 12% (ii) | PV of Project ( (i) * (ii) ) | DF@ 22% (iii) | PV of Project ( (i) * (iii) ) |
0 | -64749.69 | 1 | 1 | (64,749.69) | 1 | (64,749.69) |
1 | 13000 | 1/((1+12%)^1) | 0.893 | 11,607.14 | 0.820 | 10,655.74 |
2 | 13000 | 1/((1+12%)^2) | 0.797 | 10,363.52 | 0.672 | 8,734.21 |
3 | 13000 | 1/((1+12%)^3) | 0.712 | 9,253.14 | 0.551 | 7,159.19 |
4 | 13000 | 1/((1+12%)^4) | 0.636 | 8,261.74 | 0.451 | 5,868.19 |
5 | 13000 | 1/((1+12%)^5) | 0.567 | 7,376.55 | 0.370 | 4,809.99 |
6 | 13000 | 1/((1+12%)^6) | 0.507 | 6,586.20 | 0.303 | 3,942.61 |
7 | 13000 | 1/((1+12%)^7) | 0.452 | 5,880.54 | 0.249 | 3,231.65 |
8 | 13000 | 1/((1+12%)^8) | 0.404 | 5,250.48 | 0.204 | 2,648.89 |
9 | 13000 | 1/((1+12%)^9) | 0.361 | 4,687.93 | 0.167 | 2,171.23 |
10 | 13000 | 1/((1+12%)^10) | 0.322 | 4,185.65 | 0.137 | 1,779.69 |
15.20% | NPV | 8,703.21 | NPV | (13,748.29) | ||
IRR = | Ra + NPVa / (NPVa - NPVb) * (Rb - Ra) | |||||
12% + 8703.21 / (8703.21 + 13748.29)*10% | ||||||
15.20% |