EQUITY MULTIPLIER=Total Assets / Total Stockholders' Equity
ROE divided by ROA isi the equity multiplier, which is also equal to total assets divided by total equity.
The leverage multiplier equals to total asset dividing by shareholders' equity. The high leverage multiplier indicates that the firms decide to overcome the high levels of borrowing or debt on which it must pay interest. The higher ratio means higher liability than its shareholders' equity. Essentially, the ratio is mainly used to help firms making decision about how to raise funds by undertaking debts. A company will only undertake significant amounts of debt when it believes that return on assets (ROA) will be higher than the interest on the loan.
10.64%
Formula to Find the Equity
Equity = Assets -Liabilities Equity is also referred to as the first loss when earnings are depleted. Equity = Common Stock (at Par) + Paid in capital + Pref. Stock + R/E (NI)
Given: ROA = 10%, Profit margin = 2%, ROE = 15% ROA = Profit margin x Asset Turnover Therefore, Asset Turnover = ROA / Profit margin = 10 / 2 = 5% ROE = Profit margin x Asset Turnover x Equity multiplier 15 = 2 x 5 x Equity Multiplier 15 / 10 = Equity Multiplier Equity Multiplier = 1.05
Equity Multiplier ROA*Equity Multiplier=ROE so, (10%)*(x)=(15%), therefore, Equity Multiplier=15%/10%= 1.5 times Total Asset Turnover Profit Margin*Total Asset Turnover = ROA, so (2%)*(x)=10%, therefore Total Asset Turnover=10%/2%= 5 times
Given: ROA = 10%, Profit margin = 2%, ROE = 15% ROA = Profit margin x Asset Turnover Therefore, Asset Turnover = ROA / Profit margin = 10 / 2 = 5% ROE = Profit margin x Asset Turnover x Equity multiplier 15 = 2 x 5 x Equity Multiplier 15 / 10 = Equity Multiplier Equity Multiplier = 1.05
Company's Total Assets Turnover Ratio is 5 and Equity multiplier is 1.5 times which is cal. as Net Sales/Total Assets and Total Assets/ Shareholder's equity resp. for the two ratios.
ROE= profit margin × total assets turnover × equity multiplier ROE= ( Net income / sales ) × ( sales / total assets ) × ( total assets / common equity ) ROE= 3% × ( 100/50)×2 ROE = 3% × 4 = 12 %
The equity multiplier = debt to equity +1. Therefore, if the debt to equity ratio is 1.40, the equity multiplier is 2.40.
Return on asset= profit margin × asset turnover Return on equity= return on asset × equity multiplier so, return on equity is more comprehensive
What is given is: total assets = $422,235,811 Debt ratio = 29.5% Find: debt-to-equity ratio Equity multiplier Debt-to-equity ratio = total debt / total equity Total debt ratio = total debt / total assets Total debt = total debt ratio x total assets = 0.295 x 422,235,811 = 124,559,564.2 Total assets = total equity + total debt Total equity = total assets - total debt = 422,235,811 - 124,559,564.2 = 297,676,246.8 Debt-to-equity ratio = total debt / total equity = 124,559,564.2 / 297,676,246.8 = 0.4184 Equity multiplier = total assets / total equity = 422,235,811 / 297,676,246.8 = 1.418
ROE= 8%
DuPont Corporation created this type of calculation for Return on Equity. This theory breaks down ROE into three distinct elements. This analysis enables the analyst to understand the source of superior (or inferior) returns by comparison with companies in the same industry or even between industries.Formula:ROE DuPont = Profit Margin * Asset Turnover * Equity MultiplierProfit Margin = Net Profit / SalesAsset Turnover = Sales / AssetsEquity Multiplier = Net Profit / Equity
50%/6%= 8.3%
shareholder equity / total assets