In: Finance
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 Compute the IRR static for Project E. The appropriate cost of capital is 7 percent. (Do not round intermediate calculations and round your final answer to 2 decimal places.)  | 
| Project E | ||||||
| Time: | 0 | 1 | 2 | 3 | 4 | 5 | 
| Cash flow | –$2,000 | $750 | $780 | $720 | $500 | $300 | 
| IRR | % | 
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 Should the project be accepted or rejected?  | 
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| a. | IRR | 18.85% | |||||
| b. | Accepted | ||||||
| Working: | |||||||
| IRR is the rate at which Net Present Value is zero. | |||||||
| Calculate NPV at 7% | |||||||
| Time | Cash flow | Discount factor | Present Value | ||||
| 0 | $ -2,000 | 1.0000 | $ -2,000 | ||||
| 1 | $ 750 | 0.9346 | $ 701 | ||||
| 2 | $ 780 | 0.8734 | $ 681 | ||||
| 3 | $ 720 | 0.8163 | $ 588 | ||||
| 4 | $ 500 | 0.7629 | $ 381 | ||||
| 5 | $ 300 | 0.7130 | $ 214 | ||||
| Total | $ 565 | ||||||
| Calculate NPV at 20% | |||||||
| Time | Cash flow | Discount factor | Present Value | ||||
| 0 | $ -2,000 | 1.0000 | $ -2,000 | ||||
| 1 | $ 750 | 0.8333 | $ 625 | ||||
| 2 | $ 780 | 0.6944 | $ 542 | ||||
| 3 | $ 720 | 0.5787 | $ 417 | ||||
| 4 | $ 500 | 0.4823 | $ 241 | ||||
| 5 | $ 300 | 0.4019 | $ 121 | ||||
| Total | $ -55 | ||||||
| IRR | = | 7%+(20%-7%)*(565/(565+55)) | |||||
| = | 18.85% | ||||||
| Since IRR is more than cost of capital, project is to be Accepted. | |||||||