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Bartley Barstools has an equity multiplier of \(2.4,\) and its assets are financed with some combination of long-term debt and common equity. What is its debt ratio?

Short Answer

Expert verified
The debt ratio is approximately 58.33%.

Step by step solution

01

Understanding Equity Multiplier and its Relation to Debt Ratio

The equity multiplier is a financial leverage ratio that measures the portion of a company's assets that is financed by shareholders' equity. It is given by the formula: \[ \text{Equity Multiplier} = \frac{\text{Total Assets}}{\text{Equity}} \] In this problem, the equity multiplier is 2.4.
02

Expressing Equity in Terms of Total Assets

From the equity multiplier formula, we rearrange to find: \[ \text{Equity} = \frac{\text{Total Assets}}{2.4} \] This equation implies that the company's equity is a fraction of its total assets, specifically \(1/2.4\) of its total assets.
03

Finding the Debt-Equity Ratio

Using the formula for equity and the knowledge that the remaining part of the assets is financed by debt, we can write: \[ \text{Debt} = \text{Total Assets} - \text{Equity} \] By substituting for equity from the previous step, we have \[ \text{Debt} = \text{Total Assets} - \frac{\text{Total Assets}}{2.4} \] This simplifies to \[ \text{Debt} = \text{Total Assets} \left(1 - \frac{1}{2.4}\right) \] which gives \[ \text{Debt} = \text{Total Assets} \times \frac{1.4}{2.4} \]
04

Calculating the Debt Ratio

The debt ratio is the proportion of the company's assets that are financed by debt. It is given by \[ \text{Debt Ratio} = \frac{\text{Debt}}{\text{Total Assets}} \] Substituting the expression for debt, we get \[ \text{Debt Ratio} = \frac{\text{Total Assets} \times \frac{1.4}{2.4}}{\text{Total Assets}} \] Simplifying, the total assets cancel out, and the debt ratio is \[ \frac{1.4}{2.4} \approx 0.5833 \] or 58.33%.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Equity Multiplier
The equity multiplier is an important concept when analyzing a company’s financial health. It’s a ratio that shows how much a company relies on debt to finance its assets relative to its equity. The formula to calculate the equity multiplier is: \[ \text{Equity Multiplier} = \frac{\text{Total Assets}}{\text{Equity}} \] A higher equity multiplier indicates that a company is using more debt to finance its assets, which can suggest higher financial risk, but potentially higher returns since the company is leveraging its funds.
For the Bartley Barstools example, an equity multiplier of 2.4 implies that for every dollar of equity, there are $2.40 in total assets. This number helps assess how a company is funding its growth and operations.
Debt Ratio
The debt ratio is a critical measure of a company's leverage. It indicates the proportion of a company's assets that are financed by debt, which reflects the company’s financial structure and risk. To calculate it, you can use the formula: \[ \text{Debt Ratio} = \frac{\text{Debt}}{\text{Total Assets}} \] In our scenario with Bartley Barstools, we've calculated the debt ratio to be 58.33%.
This percentage tells us that more than half of the company's assets are financed by debt, representing a significant amount of borrowing. It’s essential for assessing the company's long-term solvency and financial risk, as higher debt ratios can signal potential difficulties in meeting financial obligations if not managed appropriately.
Understanding the debt ratio guides investors in evaluating the stability and operational efficiency of a company.
Debt-Equity Ratio
The debt-equity ratio is another leverage ratio that compares a company's total debt to its total equity, providing insight into its capital structure. The formula is: \[ \text{Debt-Equity Ratio} = \frac{\text{Debt}}{\text{Equity}} \] It gives an idea of how much debt a company is using to finance its assets relative to the value represented by shareholders’ equity. Companies with higher debt-equity ratios typically have increased financial risk, as they rely more on borrowed money.
In the case of Bartley Barstools, understanding the substantial use of debt as a financing tool, in conjunction with its equity, can highlight both opportunities and risks.
  • Opportunities: Potential for higher returns through leverage
  • Risks: Increased obligations that could lead to financial distress
Overall, the debt-equity ratio serves as a robustness indicator for a firm’s financial health, helping stakeholders decide on investment or operational support contexts.

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Most popular questions from this chapter

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