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uysha [10]
3 years ago
10

Keller Cosmetics maintains an operating profit margin of 7% and asset turnover ratio of 4.

Business
1 answer:
Yanka [14]3 years ago
6 0

Answer:

A) ROA = 28%

B) ROE = 20%

Explanation:

Requirement A

We know,

Return on Asset = \frac{Net Income}{Average Total Assets}

If we break the ROA formula, we can get,

ROA = \frac{Net Income}{Net Sales} × \frac{Net Sales}{Average total assets}

We know, Profit margin = Net Income ÷ Net Sales; and

Asset Turnover ratio = Net sales ÷ Average total assets

Therefore, ROA = Profit margin × Asset Turnover

Given,

Profit Margin = 7% = 0.07

Asset Turnover = 4.0

Hence, Return on Asset = 0.07 × 4 = 0.28 = 28%

It shows how assets generate income over a period.

Requirement B

We know,

Return on Equity = \frac{Net Income}{Stockholders' Equity}

If we break the formula, ROE = (Asset ÷ Equity) × (Debt Burden) × ROA

Given,

Debt-Equity ratio = 1

We know, Debt-equity ratio = \frac{Total Debt}{Total Stockholders' Equity}

As debt-equity ratio is 1, debt = equity

Therefore, assets =  2 times of debt or equity

Debt Burden = Net Income ÷ (EBIT - Interest)

Debt Burden = (EBIT - Interest - Tax) ÷ (EBIT - Interest)

Debt Burden = $(21,000 - 8,200 - 8,200) ÷ $(21,000 - 8,200)

Debt Burden = $4,600 ÷ $12,800

Debt Burden = 0.359375

We have already got ROA from requirement A, ROA = 28% = 0.28

Hence, ROE = (2 ÷ 1) × 0.359375 × 0.28

ROE = 0.20125

ROE = 20%

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Answer:

(a) Preferred dividend = $9,500; and Common dividend = $73,500.

(b) Preferred dividend = $28,500; and Common dividend = $54,500.

(c) Total preferred dividend = $46,022; andTotal common dividend = $36,978

Explanation:

(a) The preferred stock is noncumulative and nonparticipating. (Round answers to 0 decimal places, e.g. $38,487.)

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Preferred dividend = Number of preferred shares * Preferred share par value * Dividend percentage = 1,900 * $100 * 5% = $9,500

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(b) The preferred stock is cumulative and nonparticipating. (Round answers to 0 decimal places, e.g. $38,487.)

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Preferred dividend = Number of preferred shares * Preferred share par value * Preferred dividend percentage = 1,900 * $100 * 5% * 3 = $28,500

Common dividend = Retained earnings - Preferred dividend = $83,000 - $28,500 = $54,500

(c) The preferred stock is cumulative and participating. (Round the rate of participation to 4 decimal places, e.g.1.4278%. Round answers to 0 decimal places, e.g. $38,487.)

First-Preferred dividend for 2 years = Number of preferred shares * Preferred share par value * Dividend percentage = 1,900 * $100 * 5% * 2 = $19,000

Second-Preferred dividend for this year = Number of preferred shares * Preferred share par value * Dividend percentage = 1,900 * $100 * 5% = $9,500

Third-Common dividend = Number of common shares * Common share per value * Preferred dividend percentage = 5,200 * $50 * 5% = $13,000

Remaining payout = Retained earnings - First-Preferred dividend for 2 years - Second-Preferred dividend for this year - Third-Common dividend = $83,000 - $19,000 - $9,500 - $13,000 = $41,500

Fourth participating payout as preferred dividend = Remaining payout * (Value of preferred shares / (Value of preferred share + Value of preferred share common shares)) = $41,500 * ((1,900 * $100) / ((1,900 * $100) + (5,200 * $50))) = $17,522

Fifth participating payout as common dividend = Remaining payout * (Value of common shares / (Value of preferred share + Value of preferred share common shares)) = $41,500 * ((5,200 * $50) / ((1,900 * $100) + (5,200 * $50))) = $23,978

Total preferred dividend = First-Preferred dividend for 2 years + Second-Preferred dividend for this year + Fourth participating payout as preferred dividend = $19,000 + $9,500 + $17,522 = $46,022

Total common dividend = Third-Common dividend + Fifth participating payout as common dividend = $13,000 + $23,978 = $36,978

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