The NPV of a project decreases with discount rate r. When r=10%, NPV=$10 million; when r=11%, NPV= -$5 million. The IRR of this project must be ________.
Group of answer choices
a. Above 11%.
b. Below 10%.
c. Not enough information.
d. Between 10% and 11%.
Answer: | |||||
Calculation of IRR |
|||||
Formula = | Lower rate + | NPV at lower rate | x (Higher rate - Lower rate) | ||
NPV at lower rate - NPV at higher rate | |||||
NPV at Lower rate | 0.10000 | NPV at higher rate | 0.11000 | ||
NPV | 10.00 | (in $, million) | NPV | -5.00 | (in $, million) |
IRR= | 10% + | 10.0000 | x (10-11)% | ||
15.0000 | |||||
IRR= | 10% + | 0.6667*1% | |||
IRR= | 10% + | 0.6667% | |||
IRR= | 10.67% | ||||
So, from the above calculation, it can seen that the IRR of the project must be d. between 10% and 11%. |
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