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Graser Trucking has \(\$ 12\) billion in assets, and its tax rate is \(40 \%\). Its basic earning power (BEP) ratio is \(15 \%\), and its return on assets (ROA) is \(5 \%\). What is its times-interest-earned (TIE) ratio?

Short Answer

Expert verified
The TIE ratio is 3.75.

Step by step solution

01

Understanding Key Concepts

The times-interest-earned (TIE) ratio is a financial metric that shows how many times a company can cover its interest obligations with its earnings before taxes. It is calculated as EBIT divided by interest expenses. We need EBIT and interest expenses to find the TIE ratio.
02

Calculate EBIT Using BEP Ratio

The Basic Earning Power (BEP) ratio is calculated as EBIT divided by total assets. Therefore, we can express EBIT as BEP% times total assets:\[ \text{EBIT} = 0.15 \times 12 \text{ billion} = 1.8 \text{ billion}\]
03

Calculate Net Income Using ROA

The Return on Assets (ROA) is calculated as Net Income divided by total assets. Therefore, we express Net Income as ROA% times total assets:\[ \text{Net Income} = 0.05 \times 12 \text{ billion} = 0.6 \text{ billion}\]
04

Determine Interest Expense

Since the tax rate is given at \(40\%\), we know that Net Income can also be calculated by subtracting taxes from (EBIT - interest expense). This equation is follows:\[ \text{Net Income} = ( \text{EBIT} - \text{Interest Expense} ) \times (1 - \text{Tax Rate}) \]\[ 0.6 \text{ billion} = (1.8 \text{ billion} - \text{Interest Expense}) \times 0.60 \]Now solve for Interest Expense:\[ \text{Interest Expense} = 1.8 \times 0.60 - 0.6 = 0.48 \text{ billion} \]
05

Calculate the TIE Ratio

Now, we calculate the TIE ratio using the equation:\[ \text{TIE Ratio} = \frac{\text{EBIT}}{\text{Interest Expense}} \]Plugging in the numbers we have:\[ \text{TIE Ratio} = \frac{1.8 \text{ billion}}{0.48 \text{ billion}} = 3.75 \]
06

Conclusion

The TIE ratio is 3.75, indicating that Graser Trucking can cover its interest obligations 3.75 times with its earnings before taxes.

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Key Concepts

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

Basic Earning Power Ratio
The Basic Earning Power (BEP) ratio is a straightforward yet powerful metric that measures the efficiency of a company's assets in generating earnings before interest and taxes (EBIT). It is calculated by dividing EBIT by the total assets of the company. This ratio gives an indication of how well a company's assets are utilized to produce earnings, ignoring tax and financing structure.To calculate BEP, use the formula:
  • BEP = \( \frac{\text{EBIT}}{\text{Total Assets}} \)
In Graser Trucking's case, with a BEP of 15%, it tells us that for every dollar invested in assets, the company earns 15 cents before taxes and interest. This information is crucial for investors to understand the core operational efficiency of the company without the influence of financial leveraging or tax environments.
Return on Assets
Return on Assets (ROA) is another vital metric that signals how profitable a company is relative to its total assets. Essentially, it measures how effectively a company is turning its investments in assets into net income. It's expressed as a percentage, found by dividing net income by total assets.The formula for ROA is:
  • ROA = \( \frac{\text{Net Income}}{\text{Total Assets}} \)
For Graser Trucking, the ROA of 5% implies that the company generates 5 cents in profit for each dollar spent on assets. This profitability ratio is useful for evaluating how well management is using its assets to produce earnings and can serve as a good measure when comparing companies within the same industry.
EBIT
EBIT stands for Earnings Before Interest and Taxes, a fundamental measure of a company's profitability and is often referred to as operating income. EBIT is a reflection of the company's operating performance as it excludes expenses related to interest and tax payments. To determine EBIT from the Basic Earning Power ratio and total assets, we use:
  • EBIT = BEP% × Total Assets
In our example, Graser Trucking's EBIT was calculated to be $1.8 billion. This indicates the earnings generated from the company's operations alone, not influenced by its capital structure and tax rates. This makes EBIT a key parameter for assessing how much revenue the company is able to convert into operational profit.
Interest Expense
Interest expense is the cost incurred by a company for borrowed funds, representing the interest payable on any borrow of money. Naturally, this is a crucial figure in financing as it impacts the firm's net earnings and cash flow. To find Graser Trucking's interest expense, we need to rearrange the net income equation considering EBIT and adjust for taxes:
  • Net Income = (EBIT - Interest Expense) × (1 - Tax Rate)
Given a tax rate of 40% and other known values, the interest expense was calculated as $0.48 billion. Understanding this component allows investors to gauge how well the company is managing its debt obligations. It also plays a direct role in calculating the Times-Interest-Earned (TIE) ratio, which assesses the company's ability to meet its interest payments effectively.

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Most popular questions from this chapter

Midwest Packaging's ROE last year was only \(3 \%\); but its management has developed a new operating plan that calls for a total debt ratio of \(60 \%\), which will result in annual interest charges of \(\$ 300,000 .\) Management projects an EBIT of \(\$ 1,000,000\) on sales of \(\$ 10,000,000,\) and it expects to have a total assets turnover ratio of \(2.0 .\) Under these conditions, the tax rate will be \(34 \%\). If the changes are made, what will be the company's return on equity?

Fontaine Inc. recently reported net income of \(\$ 2\) million. It has 500,000 shares of common stock, which currently trades at \(\$ 40\) a share. Fontaine continues to expand and anticipates that 1 year from now, its net income will be \(\$ 3.25\) million. Over the next year, it also anticipates issuing an additional 150,000 shares of stock so that 1 year from now it will have 650,000 shares of common stock. Assuming Fontaine's price/earnings ratio remains at its current level, what will be its stock price 1 year from now?

The Petry Company has \(\$ 1,312,500\) in current assets and \(\$ 525,000\) in current liabilities. Its initial inventory level is \(\$ 375,000,\) and it will raise funds as additional notes payable and use them to increase inventory. How much can its short-term debt (notes payable) increase without pushing its current ratio below \(2.0 ?\)

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?

Assume the following relationships for the Brauer Corp.: Sales total assets \(1.5 x\) Return on assets (ROA) \(3 \%\) Return on equity (ROE) \(5 \%\) Calculate Brauer's profit margin and debt ratio.

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