Internal rate of return. For each of the projects shown in the following table, calculate the internal rate of return (IRR). Then indicate, for each project, the maximum cost of capital that the firm could have and still find the IRR acceptable. |
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Project A | Project B | Project C | Project D | ||||||||||
Initial investment | -$90,000 | -$490,000 | -$20,000 | -$240,000 | |||||||||
Year | Cash inflows | ||||||||||||
1 | $20,000 | $150,000 | $7,500 | $120,000 | |||||||||
2 | 25,000 | 150,000 | 7,500 | 100,000 | |||||||||
3 | 30,000 | 150,000 | 7,500 | 80,000 | |||||||||
4 | 35,000 | 150,000 | 7,500 | 60,000 | |||||||||
5 | 40,000 | 7,500 | |||||||||||
Solution | |||||||||||||
Project A | |||||||||||||
CF0 | -$90,000 | ||||||||||||
CF1 | $20,000 | ||||||||||||
CF2 | $25,000 | ||||||||||||
CF3 | $30,000 | ||||||||||||
CF4 | $35,000 | ||||||||||||
CF5 | $40,000 | ||||||||||||
IRR | |||||||||||||
If the firm’s cost of capital is below | the project would be acceptable. | ||||||||||||
Project B | |||||||||||||
CF0 | -$490,000 | ||||||||||||
CF1 | $150,000 | ||||||||||||
CF2 | $150,000 | ||||||||||||
CF3 | $150,000 | ||||||||||||
CF4 | $150,000 | ||||||||||||
CF5 | $ 0 | ||||||||||||
IRR | |||||||||||||
If the firm’s cost of capital is below | the project would be acceptable. | ||||||||||||
Project C | |||||||||||||
CF0 | -$20,000 | ||||||||||||
CF1 | $7,500 | ||||||||||||
CF2 | $7,500 | ||||||||||||
CF3 | $7,500 | ||||||||||||
CF4 | $7,500 | ||||||||||||
CF5 | $7,500 | ||||||||||||
IRR | |||||||||||||
If the firm’s cost of capital is below | the project would be acceptable. | ||||||||||||
Project D | |||||||||||||
CF0 | -$240,000 | ||||||||||||
CF1 | $120,000 | ||||||||||||
CF2 | $100,000 | ||||||||||||
CF3 | $80,000 | ||||||||||||
CF4 | $60,000 | ||||||||||||
CF5 | $ 0 | ||||||||||||
IRR | |||||||||||||
If the firm’s cost of capital is below | the project would be acceptable |
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