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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

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Q: How do you solve for equity multiplier with ROA 10 percent profit margin 2 percent and ROE 15 percent?

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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

profit of 20 percent on 700 = 14020% of 700= 20% * 700= 20%/100% * 700= 2 * 70= 140

Basically, percent profit is: (selling price - cost) / cost = decimal equivalent of percent profit Ex. If selling price was 4 dollars, and the cost was only 2 dollar, the percent profit is: ( 4 - 2 ) / 2 = 2/2 = 1.0 To convert the resulting decimal equivalent of the percent to an indicated percentage then multiply the value (here 1.0) by 100, or move the decimal point two places rightward. 1.0 = 100% The percentage profit was 100%

Contribution margin ratio

Your profit margin is your sales price minus your costs. Costs include materials or products, labor cost, taxes and things like water, electricty and gas that are easily forgotten. So suppose you can sell 100 items for 50 dollars, but you need to buy them at 10 dollars, your profit margin could be 40 dollar per product *100 = 4000 dollars, but to sell those 100 products you need to pay a day's wage to your sales clerk, you need to pay for the electricy and the water too. Imagine you're working in an expensive area and it costs 1000 dollars. You're left with a profit of 4000-1000= 3000 dollars.

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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

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=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 %

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= 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

Return on asset= profit margin × asset turnover Return on equity= return on asset × equity multiplier so, return on equity is more comprehensive

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%

According to Chron, the average profit margin for furniture retailers is 2 percent. This is up from other retailers who normally have a 0.5 percent profit margin.

What is given is: sales / total assets = 2.23 ROA = 9.69% ROE = 16.4% Find: profit margin Debt ratio ROA = Net income / total assets = (Net income/ net sales) x (net sales /total assets)) Net income / net sales = ROA / (net sales / total assets) = 0.969 / 2.23 = 0.0435 Net profit margin = net income / net sales = 0.0435 = 4.35 % ROE = net income / total equity = (net income/net sales) x (net sales/ total assets) X (total assets / total equity) Total assets / total equity = ROE / ((net income/net sales) x (net sales/ total assets)) = 0.164 / (0.0435 x 2.23) = 0.164 / 0.097 = 1.69 Equity multiplier = total assets / total equity Equity multiplier = ROE / ROA = 0.164 / 0.0969 = 1.69 Equity multiplier = 1 + debt-to-equity ratio Debto-to-equity ratio = equity multiplier - 1 = 1.69 - 1 = 0.69 Total debt ratio = debt-to-equity ratio / (1+debt-to-equity ratio) = 0.69 / (1+ 0.69) = 0.41

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