ROE= 8%
ROE = Profit Margin * Total Assets Turnover * Equity Multiplier
ROE = (Net Income/Sales) * ( Sales/Total Assets) * ( Total Assets/Common Equity)
ROE = (3%) * (100/50) * 2 = 3% * 4 = 12%
EQUITY MULTIPLIER=Total Assets / Total Stockholders' Equity
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 %
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
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.
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
The equity multiplier = debt to equity +1. Therefore, if the debt to equity ratio is 1.40, the equity multiplier is 2.40.
The amount of equity contributed by a customer as a percentage of the current market value of the securities held in a margin account.
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
1.4
0.75
Since ROE = ROA (Equity Multiplier) in order for ROE to equal ROA the equity multiplier must be one. In other words, the total assets to total shareholders' equity ratio must be one.