A division has operating profit of £150,000 on capital employed of £1,000,000, and the group's cost of capital is 12%. It is offered a project needing £200,000 and earning £28,000 per year. Which statement is correct?

Answer and explanation

Correct answer: A. Divisional ROI would fall to 14.8% but residual income would rise by £4,000

  1. Step 1: Current ROI = £150,000 ÷ £1,000,000 = 15%. New ROI = £178,000 ÷ £1,200,000 = 14.8%, so ROI falls.
  2. Step 2: Project capital charge = 12% × £200,000 = £24,000; project profit £28,000.
  3. Step 3: RI changes by £28,000 − £24,000 = +£4,000, so a manager judged on ROI might reject a project that adds value.
Answer
Divisional ROI would fall to 14.8% but residual income would rise by £4,000.
Why not the others: ROI falls from 15% because the project earns 14%, and RI rises because the project earns more than 12%. Residual income rises, since the project's £28,000 exceeds the £24,000 capital charge. The extra profit of £28,000 exceeds the capital charge of £24,000, so RI rises.

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