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IRR

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › IRR

  • This topic has 4 replies, 2 voices, and was last updated 5 years ago by John Moffat.
Viewing 5 posts - 1 through 5 (of 5 total)
  • Author
    Posts
  • September 3, 2020 at 7:08 am #583199
    yusra97
    Participant
    • Topics: 66
    • Replies: 61
    • ☆☆

    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?

    September 3, 2020 at 10:41 am #583236
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54835
    • ☆☆☆☆☆

    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.

    September 3, 2020 at 12:47 pm #583254
    yusra97
    Participant
    • Topics: 66
    • Replies: 61
    • ☆☆

    sir i dont get how 13% have come? yes sir i have watched ur lectures

    September 3, 2020 at 12:57 pm #583256
    yusra97
    Participant
    • Topics: 66
    • Replies: 61
    • ☆☆

    and how is it -10?

    September 3, 2020 at 12:58 pm #583257
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54835
    • ☆☆☆☆☆

    13% is just a guess. They could just as easily have chosen 14% in which case the NPV would be 50 – (4×20) = -30. Approximating between 10% and 14% in the way I show in my lectures would still give 12.5%.

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