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Jan 9, 2024

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1. Computing and interpreting the degree of operating leverage (DOL) It is December 31. Last year, Carter Chemical Co. had sales of $8,000,000, and it forecasts that next year’s sales will be $7,600,000. Its fixed costs have been and are expected to continue to be $4,400,000, and its variable cost ratio is 12.50%. Carter’s capital structure consists of a $13.5 million bank loan, on which it pays an interest rate of 9%, and 250,000 shares of common equity. The company’s profits are taxed at a marginal rate of 40%. Given this data, complete the following sentences: « The percentage change in the company’s sales is 0% V. « The percentage change in Carter’s EBIT is ~13.46% ¥ . « The degree of operating leverage (DOL) at $8,000,000 is 2.69 V' . Points: W 1/1 Explanation: Close Explanation ~ At sales of $8,000,000, with an expected decrease to $7,600,000, Carter Chemical Co. exhibits a degree of operating leverage (DOL) of 2.69. The degree of operating leverage (DOL) is calculated as the percentage change in the firm’s EBIT divided by its corresponding percentage change in sales. That is: Percentage Chang in EBIT Degree of operating leverage = fecets Chaneein BT To calculate the component parts of this equation, remember that Carter's predicted decrease in sales from $8,000,000 last year to $7,600,000 next year corresponds to a -5.00% decrease in sales. That is: [(Next Yoars Sals - Las Yoar'sSales)] Last Year's Sales x100 187000000 $8,000,00) 95,000,000 B30 —5.00% Percentage Change in Sales = Based on these sales values, the firm's corresponding EBIT values and the year-to-year percentage change in EBIT is: Last Year's EBIT = Sales - Fixed Costs - Variable Costs = $8,000,000 - $4,400,000 - $1,000,000 = $2,600,000
Next Year’s EBIT = $7,600,000 - $4,400,000 - $950,000 = $2,250,000 The percentage change in EBIT is calculated as: Percentage Change in EBIT (NextYers ULt Yo' BOIT) ¢ 199 Percentage Change in EBIT = 20 4100 = —13.46% Now use these values to calculate the firm’s DOI 13.6% DOL = 2% 260 A second equation can also be used to calculate the firm's DOL. This method relates the firm’s contribution margin, or the difference between its sales and its variable costs, to the firm's eamings. Therefore, at sales of $8,000,000, with an expected decrease to $7,600,000, the a degree of operating leverage (DOL) can be calculated as: A second equation can also be used to calculate the firm's DOL. This method relates the firm's contribution margin, or the difference between its sales and its variable costs, to the firm's eamings. Therefore, at sales of $8,000,000, with an expected decrease to $7,600,000, the a degree of operating leverage (DOL) can be calculated as: (Salls_ Vasiablo Costs) Degree of operating leverage == Using this method, the firm’s DOL would be: DOL /58900000 (85000 000x1250%)) '$2,250,000 = =D
There are several ways to use and interpret a firm's DOL value. Consider the following statement and indicate whether it accurately reflects the meaning or an appropriate use of a firm's DOL value. Activities that change the distribution of a firm’s fixed and variable cost structures, such as outsourcing, will affect a firm’s DOL. True or False: This statement accurately describes a firm’s DOL. v © True O False Points: M 1/1 Explanation Close Explanation ~ Activities that change the amount and type of fixed and variable costs, such s the decision to switch from self-manufactured to outsourced production processes, will have a significant effect on the firm's DOL. When a firm outsources its production process, it can reduce its fixed operating costs, which will reduce its DOL. 2. The computation and interpretation of the degree of financial leverage (DFL) It is December 31. Last year, Campbell Construction had sales of $80,000,000, and it forecasts that next year’s sales will be $72,000,000. Its fixed costs have been—and are expected to continue to be—$32,000,000, and its variable cost ratio is 11.00%. Campbell’s capital structure consists of a $15 million bank loan, on which it pays an interest rate of 8%, and 750,000 shares of common equity. The company’s profits are taxed at a marginal rate of 40%. Given this data, complete the following sentences: Note: Round intermediate calculations to two decimal places. « The company’s percentage change in EBIT is ~18.16% v . « The percentage change in Campbell’s earnings per share (EPS) is -18.75% V . « The degree of financial leverage (DFL) at $80,000,000 is 1.88 X . Points: NN 0.67 /1 Explanation: Close Explanation ~ At sales of $72,000,000, Campbell Construction exhibits a degree of financial leverage (DFL) of 1.03. Campbell’s decrease in sales from last year's $80,000,000 to $72,000,000 next year corresponds to a -10.00% decrease in sales, which results in a -18.16% change in EBIT and a -18.75% change in EPS. The degree of financial leverage (DFL) is calculated as the percentage change in the firm's EPS divided by its corresponding percentage change in EBIT. That is: Degree of Financial Leverage (DFL) M
The firm’s corresponding EPS and EBIT values and the year-to-year percentage changes in EPS and EBIT is: Earnings per Share (EPS) = g tetheome The percentage change in EPS is calculated as: 22,500,000 Last Year's EPS = Sms000 = $30.40 s 750,000 shares. Next Year’s EPS = = $24.70 Percentage Change in EPS [(Next Year's EPS - Last Years EPS) / Last Year's EPS] x 100 = (Pl x 100 = —18.75% The firm’s corresponding EBIT values and the year-to-year percentage change in EBIT are:
The firm's corresponding EBIT values and the year-to-year percentage change in EBIT are: EBIT = Sales - Fixed Costs - Variable Costs Last Year’s EBIT = $80,000,000 $32,000,000 $8,800,000 = $39,200,000 Next Year’s EBIT = $72,000,000 $32,000,000 $7,920,000 = $32,080,000 Percentage Change in EBIT [(Next Years EOIT- Lust Years EBIT ) . 1) Then, the degree of financial leverage (DFL) is calculated as the percentage change in the firm's EPS divided by its corresponding percentage change in EBIT. That S s.13% Degree of Financial Leverage (DFL) = —27% = 103 The following are the two principal equations that can be used to calculate a firm's DFL value: DFL (at EBIT = §X) = omcentase Chango m EPS c“"’g'“;":;fr DFL (at EBIT = $X) = EBIT TEBIT Tnterest ~ [Preferred Dividends / (1~ Tax Rate)]] Consider the following statement about DFL, and indicate whether or not it is correct. Assume that a firm's fixed capital costs remain constant across a range of operating profit (EBIT) values. The firm’s DFL will vary across the range of EBIT values. O True X © False
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