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IRR

MMissy5y ago
Using an interest rate of 10% per year the net present value (NPV) of a project has been correctly calculated as $50. If the interest rate is increased by 1% the NPV of the project falls by $20. What is the internal rate of return of the project? sir im confused. At 13% NPV should be –10 Using interpolation: 10% + (50/60)(13% – 10%) = 12·5% how this?
John MoffatJohn MoffatTutor5y ago#1
12.5% is correct. Perhaps quicker is to say that we need the NPV to fall by $50. $50 = 2.5 x $20, therefore the interest rate needs to increase by 2.5 x 1% = 2.5% Therefore the IRR = 10 + 2.5 = 12.5% I assume that you have watched my free lectures on the IRR? The lectures are a complete free course for Paper MA and cover everything needed to be able to pass the exam well.
MMissy5y ago#2
sir i dont get how 13% have come? yes sir i have watched ur lectures
MMissy5y ago#3
and how is it -10?
John MoffatJohn MoffatTutor5y ago#4
13% is just a guess. They could just as easily have chosen 14% in which case the NPV would be 50 - (4x20) = -30. Approximating between 10% and 14% in the way I show in my lectures would still give 12.5%.
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