Leverage and Risk Classifications5 min
Leverage is the use of fixed costs within a firm's cost structure. It is categorized into operating leverage (fixed operating costs like leases) and financial leverage (fixed financing costs like interest). Business risk refers to the uncertainty regarding operating income and consists of sales risk and operating risk. Sales risk is the uncertainty associated with the price and quantity of goods sold. Operating risk is the additional volatility in operating earnings caused by fixed operating costs. Financial risk is the additional volatility in net income faced by equity holders due to the use of debt.

Key Points

  • Leverage involves the use of fixed costs.
  • Business risk = Sales risk + Operating risk.
  • Sales risk is uncertainty about sales revenue.
  • Operating risk arises from fixed operating costs.
  • Financial risk arises from fixed financing costs (debt).
Measuring Degrees of Leverage5 min
Analysts quantify leverage using three specific ratios. The Degree of Operating Leverage (DOL) is the percentage change in EBIT divided by the percentage change in sales. A simplified formula for a specific sales level is (Sales minus Total Variable Costs) divided by (Sales minus Total Variable Costs minus Fixed Operating Costs). The Degree of Financial Leverage (DFL) is the percentage change in EPS divided by the percentage change in EBIT, calculated as EBIT divided by (EBIT minus Interest). The Degree of Total Leverage (DTL) is the percentage change in EPS divided by the percentage change in sales, equal to DOL times DFL.

Key Points

  • DOL = % change in EBIT / % change in Sales.
  • DOL calculation: (S - TVC) / (S - TVC - F).
  • DFL = % change in EPS / % change in EBIT.
  • DFL calculation: EBIT / (EBIT - Interest).
  • DTL = DOL * DFL.
Breakeven Analysis5 min
Breakeven analysis determines the sales volume required to cover costs. The overall breakeven quantity of sales is the number of units sold where net income is zero; it covers both fixed operating costs and fixed financing costs. It is calculated as (Fixed Operating Costs + Fixed Financing Costs) divided by the contribution margin per unit (Price - Variable Cost). The operating breakeven quantity covers only operating costs (resulting in zero EBIT) and is calculated as Fixed Operating Costs divided by the contribution margin per unit.

Key Points

  • Breakeven Quantity: Total Revenues = Total Costs (Net Income = 0).
  • Breakeven Q = (Fixed Op Cost + Fixed Fin Cost) / (Price - Variable Cost).
  • Operating Breakeven Quantity: Total Revenues = Total Operating Costs (EBIT = 0).
  • Operating Breakeven Q = Fixed Op Cost / (Price - Variable Cost).
  • Contribution Margin = Price per unit - Variable Cost per unit.

Questions

Question 1

Which of the following best defines leverage in the context of corporate finance?

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Question 2

Business risk is best described as the combination of which two risks?

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Question 3

Uncertainty regarding the price and quantity of goods and services sold is known as:

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Question 4

Which factor directly contributes to a firm's operating risk?

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Question 5

Financial risk is the additional risk borne by:

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Question 6

The Degree of Operating Leverage (DOL) is calculated as the percentage change in operating income divided by:

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Question 7

A company sells 10,000 units at a price of 50 per unit. Variable costs are 30 per unit, and fixed costs are 100,000. What is the Degree of Operating Leverage (DOL)?

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Question 8

If a company has a Degree of Operating Leverage (DOL) of 3.0, a 5 percent increase in sales will result in what percentage increase in operating income?

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Question 9

Which of the following scenarios typically results in the highest Degree of Operating Leverage (DOL)?

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Question 10

The Degree of Financial Leverage (DFL) measures the sensitivity of:

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Question 11

A firm has Operating Earnings (EBIT) of 500,000 and an annual interest expense of 100,000. What is the Degree of Financial Leverage (DFL)?

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Question 12

If a company has a Degree of Financial Leverage (DFL) of 1.5, a 10 percent increase in EBIT will result in what percentage increase in earnings per share (EPS)?

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Question 13

Assuming a firm has positive fixed operating costs, if the firm has no interest expense, its Degree of Financial Leverage (DFL) will be:

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Question 14

The Degree of Total Leverage (DTL) is calculated as:

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Question 15

A firm has a DOL of 2.5 and a DFL of 2.0. What is the firm's Degree of Total Leverage (DTL)?

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Question 16

If a firm's DTL is 4.0, a 5 percent increase in sales is expected to result in what percentage increase in net income?

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Question 17

Use the following data: Sales = 200,000; Total Variable Costs = 100,000; Fixed Operating Costs = 50,000; Interest Expense = 10,000. What is the Degree of Total Leverage (DTL)?

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Question 18

The use of financial leverage generally has what effect on a firm's Return on Equity (ROE) when operating earnings are positive?

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Question 19

The breakeven quantity of sales is the level of sales where:

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Question 20

Which formula correctly calculates the breakeven quantity of sales?

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Question 21

The operating breakeven quantity of sales is the quantity at which:

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Question 22

A firm has fixed operating costs of 20,000, fixed financing costs of 5,000, a unit price of 10, and a variable cost per unit of 6. What is the breakeven quantity of sales?

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Question 23

Using the same data (Fixed Operating = 20,000; Fixed Financing = 5,000; Price = 10; Variable Cost = 6), what is the operating breakeven quantity?

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Question 24

Other things equal, a firm with greater total fixed costs will have:

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Question 25

Leverage magnifies the effects of changes in sales on:

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Question 26

The further a firm's sales are from its breakeven level of sales, the:

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Question 27

A firm has sales of 1,000,000, variable costs of 600,000, fixed operating costs of 200,000, and interest expense of 50,000. What is the Degree of Operating Leverage (DOL)?

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Question 28

Using the same data (Sales=1,000,000; VC=600,000; FC=200,000; Interest=50,000), what is the Degree of Financial Leverage (DFL)?

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Question 29

Using the same data (Sales=1,000,000; VC=600,000; FC=200,000; Interest=50,000), what is the Degree of Total Leverage (DTL)?

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Question 30

If a company has no fixed costs and no interest expense, its Degree of Total Leverage (DTL) will be:

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Question 31

Which of the following would DECREASE a firm's breakeven quantity of sales?

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Question 32

Which of the following represents the contribution margin?

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Question 33

If a firm has a DFL of 1.4, and EBIT increases by 5 percent, net income will increase by:

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Question 34

What happens to the Degree of Operating Leverage (DOL) as the level of sales increases significantly above the breakeven point?

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Question 35

Company A has high fixed costs and low variable costs. Company B has low fixed costs and high variable costs. If sales increase by the same percentage for both, which company will experience a larger percentage increase in EBIT?

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Question 36

Company X is financed with 100 percent equity. Company Y is financed with 50 percent equity and 50 percent debt. Assuming both have the same EBIT and tax rate, which company will have a more volatile Return on Equity (ROE) if EBIT fluctuates?

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Question 37

The denominator in the formula for the Degree of Total Leverage (DTL) is:

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Question 38

Which statement regarding the relationship between leverage and risk is most accurate?

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Question 39

A firm sells products for 20 each. Variable costs are 12 per unit. Fixed operating costs are 40,000. Interest is 10,000. If the firm sells 10,000 units, what is the DTL?

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Question 40

In the context of leverage, fixed costs such as building leases are classified as:

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Question 41

A firm has an operating breakeven quantity of 5,000 units. If fixed operating costs are 50,000 and the price per unit is 25, what is the variable cost per unit?

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Question 42

When calculating the Degree of Financial Leverage (DFL), the denominator is:

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Question 43

If a firm has a DOL of 2.0 and sales increase by 10 percent, EBIT will increase by:

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Question 44

Total variable costs are calculated as:

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Question 45

A firm has sales of 500,000, variable costs of 300,000, and fixed costs of 100,000. What is the DOL?

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Question 46

If fixed operating costs increase while price and variable costs remain constant, what happens to the operating breakeven quantity?

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Question 47

Which leverage metric is defined as the percentage change in net income divided by the percentage change in sales?

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Question 48

The margin of safety in financial terms often refers to how far sales can fall before:

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Question 49

A firm has earnings before interest and taxes of 200,000 and interest expense of 40,000. If EBIT increases by 20 percent, how much will net income increase?

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Question 50

When comparing two firms, the one with the higher proportion of debt in its capital structure will generally have:

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