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
EQUITY MULTIPLIER=Total Assets / Total Stockholders' Equity
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
For a change of p percent, the multiplier is (1+p/100).
0.7 and 0.2
0.027
0.18
ROA = Net Profit Margin * Asset Turnover Asset Turnover = ROA/Profit Margin = 13.5/5 = 2.7%
To find the profit margin, we can use the relationship between Return on Assets (ROA), Return on Equity (ROE), and Total Assets Turnover. ROA is calculated as Net Income divided by Total Assets, while Total Assets Turnover is Net Sales divided by Total Assets. Given ROA of 3% and Total Assets Turnover of 1.5, we can express the profit margin as follows: Profit Margin = ROA / Total Assets Turnover = 3% / 1.5 = 2%. Thus, the profit margin for the company is 2%.
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 %
N x 1.15