6 Carroll Inc has a total debt ratio of58 total debt of 3180
Solution
Return on Equity = (Net Income / Shareholders Equity) * 100
Shareholders Equity = Total Assets - Total Liabilities
Calculation of Return on Equity
Step 1 - Calculation of Total Assets
Total Debt ratio or Debt ratio = Total Debt / Total Assets
Where Total Debt is $318,000
Total Debt ratio = 0.58
Therefore
0.58 = $318,000 / Total Assets
Total Assets = $318,000 / 0.58
Total Assets = $548,275.862068
Step 2 - Calculation of Shareholders Equity
Total Assets = $548,275.862068
Total Liabilities = $318,000 (As Debt is the only liability in the question)
Shareholders Equity = Total Assets - Total Liabilities
Shareholders Equity = $548,275.862068 - $318,000
Shareholders Equity = $230,275.862068
Step 3 - Calculation of Return on Equity
Net Income = $39,000
Shareholders Equity = $230,275.862068
Return on Equity = Net Income / Shareholders Equity
Return on Equity = ($39,000 / $230,275.862068) * 100
Return on Equity = 16.94% (rounded two decimal places)
