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ROI and RI

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › ROI and RI

  • This topic has 3 replies, 2 voices, and was last updated 2 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • March 13, 2023 at 2:23 am #681201
    MelodyC
    Participant
    • Topics: 14
    • Replies: 20
    • ☆

    A division currently earns a return on investment (ROI) of 20%. It is considering investing in a project which has a residual income (RI) of $1,000 at an imputed interest charge of 20%.
    What is the effect on the division’s ROI if the project is undertaken?

    Increase
    Decrease
    Remain the same
    No possible to tell from this information

    A useful way of answering many ratio analysis questions is to substitute some simple
    numbers into the problem. For example, if the division currently earns an ROI (operating profit
    over net assets) of 20%, this could be represented by operating profit of $20,000 and net assets
    of $100,000. Residual income is calculated by operating profit – (net assets x imputed interest
    rate). A residual income of $1,000 could be represented by an operating profit of $11,000 less
    an imputed interest charge of $50,000 x 20%. Therefore the new ROI would become (existing
    operating profit + project operating profit) ÷ (existing net assets + project net assets) =
    ($20,000 + $11,000) ÷ ($100,000 + $20,000) = 25.83% = an increase in ROI. Far quicker
    though is to realise that a project offering a positive residual income at an imputed interest rate of
    20% must be offering a return higher than 20%, and therefore must improve the existing ROI of
    20%.

    Sir, I thought for a while and understood what they are trying to explain, but it seems to me that project net assets in their equation is $50,000, instead of $20,000?? Therefore,

    (existing operating profit + project operating profit) ÷ (existing net assets + project net assets) =
    ($20,000 + $11,000) ÷ ($100,000 + $50,000) = 20.67%

    March 13, 2023 at 8:13 am #681210
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    You are quite correct and there is an error in the printed answer. However it does end up coming to the same conclusion 🙂

    March 14, 2023 at 3:10 am #681265
    MelodyC
    Participant
    • Topics: 14
    • Replies: 20
    • ☆

    Oh, Thank you!

    March 14, 2023 at 7:32 am #681274
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54696
    • ☆☆☆☆☆

    You are welcome 🙂

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

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