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APV and WACC

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA AFM Exams › APV and WACC

  • This topic has 3 replies, 2 voices, and was last updated 4 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • August 22, 2020 at 8:15 pm #581546
    ACCA_procrastinator
    Member
    • Topics: 9
    • Replies: 11
    • ☆

    Hello, sir!

    A question about APV. We usually use the NPV if all equity finance + tax shield technique.
    Could we use the MM formula and WACC to get the APV?

    For example:
    A project costing $100,000 is to be finance by $60,000 of irredeemable 12% loan stock and $40,000 of new equity. The project will yield an after-tax annual cash flow of $21,000 in perpetuity. If it were all equity financed, an appropriate cost of capital would be 15%. The tax rate is 30%. What is the project`s APV?

    My calculations are:

    Ke = 15% + (1-30%)*(15%-12%)60/40 = 18,15%

    WACC = 40/100*18,15% + 60/100*12%*0,7 = 12,3%

    APV = $21000/12,3% – $100000 = $70 731.

    Wich does not equal to the correct answer, using the NPV if all equity finance + tax shield technique:
    NPV if all equity finance = $21,000/0,15-100000 = 40,000
    PV of tax shield = $60,000*12%*30%/0,12 = 18,000
    APV = 58,000

    Thank you in advance!

    August 23, 2020 at 9:20 am #581584
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54656
    • ☆☆☆☆☆

    We always (not just usually) take the NPV if all equity financed + the tax shield to get the APV.

    The reason what you are doing will not give the same answer is that any gain from the project will go to equity and that will change the gearing which in turn will change the WACC and the gain. You end up going round in a circle.

    August 23, 2020 at 5:01 pm #581652
    ACCA_procrastinator
    Member
    • Topics: 9
    • Replies: 11
    • ☆

    Thank you!

    You explanations always make it so clear!

    August 24, 2020 at 7:34 am #581701
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54656
    • ☆☆☆☆☆

    You are welcome 🙂

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    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘APV and WACC’ is closed to new replies.

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