Accounting: What the Numbers Mean
Accounting: What the Numbers Mean
12th Edition
ISBN: 9781308841380
Author: David H. Marshall, Wayne W. McManus, Daniel F. Viele
Publisher: McGraw Hill
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Chapter 15, Problem 15.18E
To determine

Concept Introduction:

Return on investment (ROI):

Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:

  ROI = Operating IncomeAverage total assets 

  ROI (Expanded)= Operating IncomeSales ×SalesAverage total assets

Or

  ROI = Profit Margin Ratio ×Asset Turnover ratio

Profit Margin Ratio:

Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:

  Profit Margin = Operating IncomeSales 

Asset Turnover Ratio:

Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:

  Asset Turnover Ratio = SalesAverage total assets 

Residual Income (RI):

Residual Income is the income earned over and above the expected rate of return on assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Residual Income is as follows:

  Residual Income = Operating Income  (Average assets ×Required rate or Return)

Requirement-a:

To Calculate:

The missing amounts

Expert Solution
Check Mark

Answer to Problem 15.18E

The missing amounts are as follows:

    Division XDivision YDivision Z
    Revenues
    $ 1,000,000
    $ 500,000
    $ 1,250,000
    Operating Income
    $ 120,000
    $ 60,000
    $ 100,000
    Operating Assets
    $ 500,000
    $ 300,000
    $ 625,000
    Margin
    12%
    12%
    8%
    Turnover
    2
    1
    2
    ROI
    24%
    20%
    16%
    Residual income
    $ 60,000
    $ 24,000
    $ 25,000

Explanation of Solution

The missing amounts are calculated as follows;

    Division XDivision YDivision Z
    Revenues (A)
    $ 1,000,000
    $ 500,000
    $ 1,250,000
    (500000*1)
    (625000*2)
    Operating Income (B)
    $ 120,000
    $ 60,000
    $ 100,000
    (500000*12%)
    Operating Assets (C)
    $ 500,000
    $ 300,000
    $ 625,000
    (100000-25000)/12%
    Margin (B/A)
    12%
    12%
    8%
    Turnover (A/C)
    2
    1
    2
    ROI (B/C)
    24%
    20%
    16%
    Residual income (B-C*12%)
    $ 60,000
    $ 24,000
    $ 25,000
To determine

Concept Introduction:

Return on investment (ROI):

Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:

  ROI = Operating IncomeAverage total assets 

  ROI (Expanded)= Operating IncomeSales ×SalesAverage total assets

Or

  ROI = Profit Margin Ratio ×Asset Turnover ratio

Profit Margin Ratio:

Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:

  Profit Margin = Operating IncomeSales 

Asset Turnover Ratio:

Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:

  Asset Turnover Ratio = SalesAverage total assets 

Residual Income (RI):

Residual Income is the income earned over and above the expected rate of return on assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Residual Income is as follows:

  Residual Income = Operating Income  (Average assets ×Required rate or Return)

Requirement-b:

To Discuss:

The relative performance of each division

Expert Solution
Check Mark

Answer to Problem 15.18E

The relative performance of each division is as follows:

Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income.

Explanation of Solution

The relative performance of each division is explained as follows:

    Division XDivision YDivision Z
    Margin
    12%
    12%
    8%
    Turnover
    2
    1
    2
    ROI
    24%
    20%
    16%
    Residual income
    $ 60,000
    $ 24,000
    $ 25,000

Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income.

To determine

Concept Introduction:

Return on investment (ROI):

Return on investment is a profitability ratio that represents the percentage return on the investment made. It is calculated by dividing the Net Income by the Average total assets. The formulas to calculate the ROI are as follows:

  ROI = Operating IncomeAverage total assets 

  ROI (Expanded)= Operating IncomeSales ×SalesAverage total assets

Or

  ROI = Profit Margin Ratio ×Asset Turnover ratio

Profit Margin Ratio:

Profit Margin Ratio is a profitability ratio that represents the percentage income earned on the sales. It is calculated by dividing the Net Income by the Sales. The formulas to calculate the Profit margin is as follows:

  Profit Margin = Operating IncomeSales 

Asset Turnover Ratio:

Asset Turnover Ratio is an efficiency ratio that represents the sales earned on the average assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Asset Turnover Ratio is as follows:

  Asset Turnover Ratio = SalesAverage total assets 

Residual Income (RI):

Residual Income is the income earned over and above the expected rate of return on assets invested in the business. It is calculated by dividing the Sales by Average total assets. The formulas to calculate the Residual Income is as follows:

  Residual Income = Operating Income  (Average assets ×Required rate or Return)

Requirement-c:

To Discuss:

The importance of the Residual Income In decision making

Expert Solution
Check Mark

Answer to Problem 15.18E

Residual income provides the readymade indicator for the comparison to find out the most profitable investment option.

Explanation of Solution

The relative performance of each division is explained as follows:

    Division XDivision YDivision Z
    Margin
    12%
    12%
    8%
    Turnover
    2
    1
    2
    ROI
    24%
    20%
    16%
    Residual income
    $ 60,000
    $ 24,000
    $ 25,000

Division X is earning the highest ROI and residual income and Division Z is earning the lowest ROI and residual income. Hence, Residual income provides the readymade indicator for the comparison to find out the most profitable investment option.

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