Ch. 14 HW answers

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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
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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
Explanation: Close Explanation ~ As a firm’s operating profits increase and its interest and dividend payments remain constant, its net income and EPS will increase. Because it is unlikely that the percentage changes in the firm's EPS and EBIT will be exactly proportional, the DFL values will vary. Conversely, as a firm’s operating profits decrease and its interest and dividend payments remain constant, its net income and EPS will decrease. Again, because it is unlikely that the percentage changes in EBIT and EPS will be proportional, the DFL values will vary. 2. The computation and interpretation of the degree of financial leverage (DFL) It is December 31. Last year, Galaxy Corporation had sales of $80,000,000, and it forecasts that next year’s sales will be $86,400,000. Its fixed costs have been—and are expected to continue to be—$44,000,000, and its variable cost ratio is 15.00%. Galaxy’s capital structure consists of a $15 million bank loan, on which it pays an interest rate of 12%, and 5,000,000 shares of outstanding common equity. The company’s profits are taxed at a marginal rate of 35%. Given this data, compute the following: Note: Round intermediate calculations to two decimal places. « The company’s percentage change in EBIT is 22.67% ¥ . « The percentage change in Galaxy’s earnings per share (EPS) is 24.22% ¥ . « The degree of finandial leverage (DFL) at $80,000,000 is 1.07 V' . Explanation: Close Explanation ~ At sales of $86,400,000, Galaxy Corporation exhibits a degree of financial leverage (DFL) of 1.07. Remember, 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) = To calculate the component parts of this equation, consider the following table: Galaxy Corporation Revised Format Income Statement Next Year This Year _ Percentage Change Sales, $86,400,000 $80,000,000 8.00% Less: Variable costs $12,960,000 $12,000,000 Less: Fixed costs $44,000,000 $44,000,000 EBIT $29,440,000 $24,000,000 22.67% Less: Interest expense $1,800,000 $1,800,000 Earnings before taxes $27,640,000 $22,200,000 Less: Taxes $9,674,000 $7,770,000 Net income $17,966,000 $14,430,000 Shares outstanding 5,000,000 5,000,000 EPS $3.59 $2.89 24.22%
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Remember that Galaxy’s increase in sales from $80,000,000 last year to $86,400,000 next year corresponds to a 8.00% increase in sales and provides a change of 22.67% in EBIT and a change of 24.22% in EPS. That is: Earnings per Share (EPS) = # The percentage change in EPS is calculated as: WEPS _Sesmow Last Year's EPS = 000 _ g389 Eps L _fmseow _ Next Year's EPS = ;oppmmames = $3.59 Percentage Change in EPS NextYearsBPS Last Years BS ) s150-s280 = Taw x100 = 24.22% 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 $44,000,000 $12,000,000 = $24,000,000 Next Year's EBIT = $86,400,000 $44,000,000 $12,960,000 = $29,440,000 Next Year's EBIT _Last Years BBIT . 10 Percentage Change in EBIT = The degree of financial leverage (DFL) s calculated as the percentage change in the firm’s EPS divided by its corresponding percentage change in EBIT. That is: Degree of Financial Leverage (DFL) 3
The following are the two principal equations that can be used to calculate a firm's DFL value: DFL (at EBIT = §X) = omcentase Chango m EPS c“"’g'“;":;fr - - EBIT DFL (At EBIT =$X) = {opr ot~ Prefored Dividends / (1~ X Rta)]) Consider the following statement about DFL, and indicate whether or not it is correct. All other factors remaining constant, the larger the proportion of common equity used by the firm in its capital structure, the smaller the firm’s DFL. O True X @ ralse Close Explanation ~ Explanation Firms whose capital structure contains more equity—and less debt—financing will exhibit lower degrees of financial leverage (DFL). Remember, one way to compute the firm’s DFL is to divide the firm’s EBIT by its EBT, which is the difference between EBIT and the firm's is: - EBIT EBIT I - interest charges. That is: DFL = S0 - -BBIT . As more equity is sed to finance the firm, the less interest expense the firm will incur, because of its relatively lower cost of debt and amount borrowed. This increases the denominator of the DFL equation and decreases the overall DFL value.
3. The computat n and interpretation of the degree of coml ed leverage (DCL) You and your colleague, Gregory, are currently participating in a finance internship program at Carter Chemical Company. Your current assignment is to work together to review Carter's current and projected income statements. You will also assess the consequences of management’s capital structure and investment decisions on the firm'’s future riskiness. After much discussion, you and Gregory decide to calculate Carter’s degree of operating leverage (DOL), degree of financial leverage (DFL), and degree of combined leverage (DCL) based on this year's data to gain insights into Carter's risk levels. The most recent income statement for Carter Chemical Company follows. Carter is funded solely with debt capital and common equity, and it has 2,000,000 shares of common stock currently outstanding. This Year's Data Next Year’s Projected Data Sales $60,000,000 $64,500,000 Less: Variable costs 36,000,000 38,700,000 Gross profit 24,000,000 25,800,000 Less: Fixed operating costs 12,000,000 12,000,000 Net operating income (EBIT) 12,000,000 13,800,000 Less: Interest expense 1,200,000 1,200,000 Taxable income (EBT) 10,800,000 12,600,000 Less: Tax expense (40%) 4,320,000 5,040,000 Net income $6,480,000 $7,560,000 Earnings per share (EPS) $3.24 $3.78 Given this information, complete the following table and then answer the questions that follow. When performing your calculations, round your EPS and percentage change values to two decimal places.
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Given this information, complete the following table and then answer the questions that follow. When performing your calculations, round your EPS and percentage change values to two decimal places. Carter Chemical Company Data DOL (Sales = $60,000,000) 2.00 Vv DFL (EBIT = $12,000,000) 111 Vv DCL (Sales = $60,000,000) 222 v Points: m—1/ 1 Explanation: Close Explanation ~ At sales of $60,000,000, Carter Chemical Company exhibits a DOL of 2.00, a DFL of 1.11, and DCL of 2.22. There are two formulas that can be used to calculate a firm's degree of operating leverage (DOL) at a given level of sales ($60,000,000): DOL = (Sales - Variable Costs) / EBIT DOL = Percentage Change in EBIT / Percentage Change in Sales Using either equation, the firm’s DOL is 2.00. That is: DOL (at Sales = $60,000,000) = (Sales - Variable Costs) / EBIT = ($60,000,000 - $36,000,000) / $12,000,000 = 200 DOL (at Sales = $60,000,000) = Percentage Change in EBIT / Percentage Change in Sales = {[($13,800,000 - $12,000,000) / $12,000,000] x 100} / {[($64,500,000 ~ $60,000,000) / $60,000,000] x 100} = 15.00%/7.50% = 200 here are also two formulas that can be used to calculate a firm's degree of financial leverage (DFL) at a given level of EBIT ($12,000,000): DFL = (EBIT - Interest Expense) / EBIT DFL = Percentage Change in EPS / Percentage Change in EBIT sing either equation, the firm’s DFL is 1.11. That is: DFL (EBIT = $12,000,000) = EBIT/ (EBIT - Interest Expense) $12,000,000 / ($12,000,000 - 1,200,000) = 11
DFL (EBIT = $12,000,000) Percentage Change in EPS / Percentage Change in EBIT = {[($3.78 - $3.24) / $3.24] x 100} / {[($13.800,000 - $12,000,000) / $12,000,000] x 100} = 16.67%/15.00% = 111 The two formulas that can be used to calculate the firm's degree of combined leverage (DCL) at a given level of sales ($60,000,000) are: DCL = DOLXDFL DCL = Percentage Change in EPS / Percentage Change in Sales Using either equation, the firm’s DCL is 2.22. That is: DCL (Sales = $60,000,000) = DOL X DFL = 2.00x111 = 222 DCL (Sales = $60,000,000) = Percentage Change in EPS / Percentage Change in Sales = {[($3.78 - $3.24) / $3.24] x 100} / {[($64,500,000 - $60,000,000) / $60,000,000] x 100} = 16.67% / 7.50% = 222 Everything else remaining constant, assume Carter Chemical Company decides to sell 520,000 shares of preferred stock that would pay $4 per share per year in cash dividends. How would this affect Carter’s DOL, DFL, and DCL? « The DOL would be expected to remain constant v’ . « The DFL would be expected to remain constant_X . « The DCL would be expected to remain constant X . Orinte- - R Explanation: Close Explanation ~ The sale of preferred stock, another form of fixed-cost financing, will have no effect on the firm’s DOL but will increase its DFL. The increase in the DFL results from the reduction in the denominator of the following DFL equation: EBIT DFL = T Toterwt - [Proered Diviends 71 Tox Rt} In addition, since a firm’s DCL is the product of its DOL and its DFL, an increase in the DFL, with no change in the DOL, will also increase the firm’s DCL.
Everything else remaining constant, assume Tucker Manufacturing decides to convert its labor-intensive manufacturing facility into a capital-intensive facility by laying off over 75% of its labor force and replacing the workers with robotic and technologically advanced manufacturing equipment. Assume that, over the next five years, the wages saved as a result of the layoffs will pay for the changes made to Tucker’s plant and equipment changes. How would this affect Tucker's DOL, DFL, and DCL? « The DOL would be expected to increase v. « The DFL would be expected to____decrease X. « The DCL would be expected to increase v. Points: NN 0.67 /1 Explanation: Close Explanation ~ The conversion of the manufacturing facility from one that was previously labor intensive to one that is capital intensive increases the firm's reliance on fixed-cost assets and simultaneously decreases its use of variable-cost (Iabor) assets. This dollar-for-dollar substitution of fixed-cost assets for variable-cost assets will increase the firm’s DOL but not change the firm’s DFL. Since the DCL is the product of an increasing DOL and a constant DFL, then the DCL will also increase. 4. Analyzing riskiness using a firm's degree of leverage Select the degree of leverage that completes the following sentence. The _degree of financial leverage (DFL) ¥/ is the percentage change in EPS that results from a given percentage change in EBIT. Points: mm—1/ 1 Close Explanation ~ The degree of financial leverage (DFL) is the percentage change in the eamings per share (EPS) that results from a given percentage change in the eamnings before interest and taxes (EBIT) and reflects the use of debt in a firm's capital structure. The degree of operating leverage (DOL) is the percentage change in EBIT that resuits from a given percentage change in sales and reflects the use of fixed costs in a firm’s operations. The degree of combined leverage (DCL) is the percentage change in EPS that results from a given percentage change in sales; it equals the product of the degrees of operating and financial leverage. The degree of combined leverage reflects the combined effects of these two decisions.
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