Answer:
Return on equity (ROE) would have changed by <u>6.27%</u>.
Explanation:
In accounting ratio, we know that:
Asset Turnover = Sales/Total Assets .............................. (1)
From equation (1), we can solve for Total Assets as follows:
Total Assets = Sales / Asset Turnover ............................ (2)
Substituting the values in the question into equation (2), we have:
Total Assets = $195,000 / 1.33 = $146,616.54
Also, we know that:
Equity Multiplier = Total Assets/Total Equity ......................... (3)
We can solve Total Equity from equation (3) as follows:
Total Equity = Total Assets / Equity Multiplier ..................... (4)
Substituting the relevant values into equation (4), we have:
Total Equity = $146,616.54 / 1.75 = $83,780.88
As a result, we have:
Return on Equity = Net Income/Total Equity = $10,549 / $83,780.88 = 0.1259, or 12.59%
If the company had operated more efficiently, we would have:
New net income = Net income + Amount of increase in net income = $10,549 + $5,250 = $15,799
New return on equity = New net Income / Total Equity = $15,799 / $83,780.88 = 0.1886, or 18.86%
Change in return on equity = New return on equity - Return on Equity = 18.86% - 12.59% = 6.27%
Therefore, return on equity (ROE) would have changed by <u>6.27%</u>.
