# CMA Study Group

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## CMA PART 1 QUESTION

• #### 1.  CMA PART 1 QUESTION

Posted 10-05-2021 03:52 PM
Hi Guys,

I came across this question and I need help understanding it, if anyone understands it I would appreciate an explanation, thanks:

The following forecasted information is available for a manufacturing division for next year:
Category
Amount
(thousands)
Working capital
\$  1,800
Revenue
30,000
Plant and equipment
17,200
To establish a standard of performance for the division's manager using the residual income approach, four scenarios are being considered.
Imputed Interest
Target
Residual Income
1
15%
\$2,000,000
2
12%
1,500,000
3
18%
1,250,000
4
10%
2,500,000
Which scenario assumes the lowest maximum cost?
 A. Scenario 4. B. Scenario 2. C. Scenario 3. D. Scenario 1. Answer (D) is correct.Residual income is the excess of the amount of the ROI over a targeted amount equal to an imputed interest charge on invested capital. If a manager has \$19,000,000 of invested capital (\$17,200,000 of plant and equipment + \$1,800,000 of working capital), a 15% imputed interest charge equals \$2,850,000. Adding \$2,000,000 of residual income to the imputed interest results in a target profit of \$4,850,000. This profit can be achieved if costs are \$25,150,000 (\$30,000,000 revenue – \$4,850,000 profit).

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Tiffany Borello
Other
New York NY
United States
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• #### 2.  RE: CMA PART 1 QUESTION

Posted 10-06-2021 02:19 AM
Hi Tiffany,

the question here asks whats the maximum costs the company can incur to result ROI of given options.The formula for ROI = Operating Income - Opportunity cost. Opportunity cost here is (Operating assets x imputed rate of return)
with option D (scenario one)
ROI = \$2,000,000 (given)
Opportunity costs = 2,850,000 ( 17,200,000 + 1,800,000 x 15%)
Operating income = \$30,000,000 (revenue) - X ( costs) which we have to arrive
A bit of algebra will be helpful here

30,000,000 - x - 2,850,000 = 2,000,000
30,000,000 - x = 2,000,000 + 2,850,000 = 4,850,000
-x = 4850,000 - 30,000,000 = -25,150,000
-x = -25,150,000, minus gets cancelled and the X = 25,150,000 which is the maximum cost incurred to get the stated ROI in the given question. You can do the same for all the other option to find out the maximum cost. In this case, its option D with costs being \$25,150,000. Hope this helps.

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Chennai TN
India
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• #### 3.  RE: CMA PART 1 QUESTION

Posted 10-06-2021 09:08 AM
Yes this helped, thank you!

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Tiffany Borello
Other
New York NY
United States
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• #### 4.  RE: CMA PART 1 QUESTION

Posted 10-07-2021 06:28 AM
Residual income = income of business unit - (assets of business unit x required rate of return)

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GEZOULI ELTAYEB ALI
Accountant
Saudi Arabia
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• #### 5.  RE: CMA PART 1 QUESTION

Posted 10-07-2021 06:30 AM