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18 June, 16:03

A fire has destroyed a large percentage of the financial records of the Excandesco Company. You have the task of piecing together information in order to release a financial report. You have found the return on equity to be 16.9 percent. Sales were $1,800,000, the total debt ratio was. 33, and total debt was $661,000. What is the return on assets (ROA) ? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.)

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  1. 18 June, 17:22
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    ROA = 11.32% ± 1%

    Explanation:

    Given

    Return on equity = 16.9%

    Sales = $1,800,000

    Total debt ratio = 0.33,

    Total debt = $661,000.

    First, we need to calculate total assets using the following formula;

    Debt Ratio = Total Debt/Total Assets

    Total Assets = Total Debt/Debt Ratio.

    Substitute in the values of Total Debt and Debt Ratio

    Total Assets = $661,000/0.33

    Total Assets = $2003030.30

    Nexr, we'll calculate the total equity by employing the balance sheet relationship that total assets equal sum of total liabilities (debt) and equity.

    Total assets = Total debt + Equity

    Equity = Total Assets - Total Debt

    Equity = $2003030.30 - $661,000

    Equity = $1,342,030.3

    Next, we calculate Net Income using the following formula.

    Return on Equity (ROE) = Net Income/Equity

    Net Income = ROE * Equity

    Net Income = 16.9% * $1,342,030.3

    Net Income = $226,803.1207

    ROA is calculated using the following formula

    ROA = Net income / Total assets

    ROA = $226,803.1207 / $2003030.30

    ROA = 0.113229999915627

    ROA = 0.1132 - - - Approximated

    ROA = 11.32% ± 1%
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