FIN 323 Chapter 4 Homework Practice for Exam – Flashcards
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The most recent financial statements for Schenkel Co. are shown here: Income Statement Balance Sheet Sales $ 18,000 Current assets $ 11,900 Debt $ 16,400 Costs 12,100 Fixed assets 28,750 Equity 24,250 Taxable income $ 5,900 Total $ 40,650 Total $ 40,650 Taxes (40%) 2,360 Net income $ 3,540 Assets and costs are proportional to sales. Debt and equity are not. The company maintains a constant 40 percent dividend payout ratio. No external equity financing is possible. What is the sustainable growth rate?
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To calculate the sustainable growth rate, we first need to calculate the ROE, which is: ROE = NI / TE ROE = $3,540 / $24,250 ROE = .1460, or 14.60% The plowback ratio, b, is one minus the payout ratio, so: b = 1 - .40 b = .60 Now we can use the sustainable growth rate equation to get: Sustainable growth rate = (ROE × b) / [1 - (ROE × b)] Sustainable growth rate = [.1460(.60)] / [1 - .1460(.60)] Sustainable growth rate = .0960, or 9.60%
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The most recent financial statements for Alexander Co. are shown here: Income Statement Balance Sheet Sales $ 52,400 Current assets $ 22,600 Long-term debt $ 52,000 Costs 42,200 Fixed assets 92,000 Equity 62,600 Taxable income $ 10,200 Total $ 114,600 Total $ 114,600 Taxes (34%) 3,468 Net income $ 6,732 Assets and costs are proportional to sales. The company maintains a constant 30 percent dividend payout ratio and a constant debt-equity ratio. What is the maximum dollar increase in sales that can be sustained assuming no new equity is issued?
answer
The maximum percentage sales increase is the sustainable growth rate. To calculate the sustainable growth rate, we first need to calculate the ROE, which is: ROE = NI / TE ROE = $6,732 / $62,600 ROE = .1075, or 10.75% The plowback ratio, b, is one minus the payout ratio, so: b = 1 - .30 b = .70 Now we can use the sustainable growth rate equation to get: Sustainable growth rate = (ROE × b) / [1 - (ROE × b)] Sustainable growth rate = [.1075(.70)] / [1 - .1075(.70)] Sustainable growth rate = .0814, or 8.14% So, the maximum dollar increase in sales is: Maximum increase in sales = $52,400(.0814) Maximum increase in sales = $4,265.68
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Consider the following income statement for the Heir Jordan Corporation: HEIR JORDAN CORPORATION Income Statement Sales $ 48,800 Costs 34,800 Taxable income $ 14,000 Taxes (30%) 4,200 Net income $ 9,800 Dividends $ 3,200 Addition to retained earnings 6,600 The projected sales growth rate is 18 percent. Prepare a pro forma income statement assuming costs vary with sales and the dividend payout ratio is constant. (Input all amounts as positive values. Do not round intermediate calculations.) HEIR JORDAN CORPORATION Pro Forma Income Statement Sales $ 57,584 ± 0.1% Costs 41,064 ± 0.1% Taxable income $ 16,520 ± 0.1% Taxes 4,956 ± 0.1% Net income $ 11,564 ± 0.1% What is the projected addition to retained earnings? (Do not round intermediate calculations.) Addition to retained earnings $ 7,788 ± 0.1%
answer
Taxes (30%) = $4,956 The payout ratio is constant, so the dividends paid this year is the payout ratio from last year times net income, or: Dividends = ($3,200 / $9,800)($11,564) Dividends = $3,776 And the addition to retained earnings will be: Addition to retained earnings = $11,564 - 3,776 Addition to retained earnings = $7,788
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Stone Sour Co. has an ROA of 11 percent and a payout ratio of 28 percent. What is its internal growth rate?
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We need to calculate the retention ratio to calculate the internal growth rate. The retention ratio is: b = 1 - .28 b = .72 Now we can use the internal growth rate equation to get: Internal growth rate = (ROA × b) / [1 - (ROA × b)] Internal growth rate = [.11(.72)] / [1 - .11(.72)] Internal growth rate = .0860, or 8.60%
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You are given the following information on Kaleb's Welding Supply: Profit margin 5.8 % Capital intensity ratio .67 Debt-equity ratio .7 Net income $ 64,000 Dividends $ 14,600 Calculate the sustainable growth rate.
answer
We first must calculate the ROE to calculate the sustainable growth rate. To do this we must realize two other relationships. The total asset turnover is the inverse of the capital intensity ratio, and the equity multiplier is 1 + D/E. Using these relationships, we get: ROE = (PM)(TAT)(EM) ROE = (.058)(1 / .67)(1 + .70) ROE = .1472, or 14.72% The plowback ratio is one minus the dividend payout ratio, so: b = 1 - ($14,600 / $64,000) b = .7719 Now we can use the sustainable growth rate equation to get: Sustainable growth rate = (ROE × b) / [1 - (ROE × b)] Sustainable growth rate = [.1472(.7719)] / [1 - .1472(.7719)] Sustainable growth rate = .1281, or 12.81%
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