91Ó°ÊÓ

The profit margin is a key financial ratio that tells us how much profit a company makes for every dollar of sales. To calculate the profit margin, we use the formula:

• \( \text{Profit Margin (PM)} = \frac{\text{Net Income}}{\text{Sales}} \)

For Brauer Corp., it is given that the sales are 1.5 times the total assets. Using the return on assets (ROA), which is 3%, we find the net income:

• \( \text{Net Income} = \text{ROA} \times \text{Total Assets} = 0.03 \times \text{Total Assets} \)

Next, we substitute these values into the profit margin formula. Since sales equal 1.5 times the total assets, the equation is:

• \( \text{PM} = \frac{0.03 \times \text{Total Assets}}{1.5 \times \text{Total Assets}} = \frac{0.03}{1.5} = 0.02 \)

This simplifies to a profit margin of 2%. Brauer Corp. makes 2 cents in profit for each dollar they earn from sales. This ratio is crucial to assess the efficiency of the business in converting sales into actual profit.

The debt ratio is an important indicator of a company's financial leverage. It gives us insight into how much of the company's assets are financed through debt. To calculate this ratio, use:

• \( \text{Debt Ratio (DR)} = 1 - \frac{\text{Equity}}{\text{Total Assets}} \)

From the original problem, the return on equity (ROE) is 5%. By rearranging the ROE formula, we can express equity in terms of total assets and net income:

• \( \text{Equity} = \frac{0.03 \times \text{Total Assets}}{0.05} = 0.6 \times \text{Total Assets} \)

Substituting this into the debt ratio formula gives us:

• \( \text{DR} = 1 - 0.6 = 0.4 \)

Thus, 40% of Brauer Corp.'s assets are financed through debt, indicating a moderate level of financial leverage. Companies with a high debt ratio might face higher financial risk due to their debt obligations.

Return on assets (ROA) measures a company's ability to generate profit from its assets. It's calculated by dividing net income by total assets:

• \( \text{ROA} = \frac{\text{Net Income}}{\text{Total Assets}} \)

For Brauer Corp., the ROA is provided as 3%. This means that for every dollar of assets, the company generates 3 cents of profit. The practical use of ROA is to help investors and management assess how effectively a company is deploying its assets to generate earnings.
A higher ROA indicates a more efficient use of company assets. Companies strive for a higher ROA as it can signal effective management and better potential for long-term growth. Conversely, a low ROA might suggest inefficiencies or issues in asset management.

Return on equity (ROE) is a measure of financial performance calculated by dividing net income by shareholder equity:

• \( \text{ROE} = \frac{\text{Net Income}}{\text{Equity}} \)

For Brauer Corp., the ROE is 5%, showing that for every dollar of equity, the company earns 5 cents in net income. This is a critical metric for investors, as it indicates how well a company uses investments to generate growth.
A high ROE often signifies effective management and a potentially attractive investment opportunity. However, it is essential to compare the ROE with industry standards, as a high ROE does not necessarily mean high performance if similar companies have a much higher ROE. Comparisons should be made with caution, keeping in mind sector differences and business maturity stages.