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The companies are in the same line of business and are direct competitors in a l

ID: 2579800 • Letter: T

Question

The companies are in the same line of business and are direct competitors in a large metropolitan area. Both have been in business approximately 10 years and each has had steady growth. Despite these similarities, the management of each has a different viewpoint in many respects. Blair is more conservative, and as its president said, “We avoid what we consider to be undue risk.” Both companies use straight-line depreciation, but Blair estimates slightly shorter useful lives than Armstrong. No shares were issued in the current year and neither company is publicly held. Blair Company has an annual audit by a CPA, but Armstrong Company does not. Assume the end-of-year total assets and net equipment balances approximate the year’s average and all sales are on account.

Calculate the following ratios.

TIP: To calculate EPS, use the balance in Common Stock to determine the number of shares outstanding. Common Stock equals the par value per share times the number of shares. (Use 365 days in a year. Round your intermediate calculations and your final answers to 2 decimal places.)

The financial statements for Armstrong and Blair companies are summarized here:

Explanation / Answer

Calcuation of Ratios:

Ratio

Calculation

Armstrong

Blair

Net profit Margin

Net Profit / Sales

8.69%

10.43%

Gross Profit Margin

Gross Profit / Sales (NOTE 1)

189,000 / 426,000 = 44.37%

389,000 / 786,000 = 49.49%

Fixed Asset Turnover

Net Sales / Average Fixed Assets (NOTE 2)

426,000 / 164,000 = 2.59

786,000 / 284,000 = 2.76

Return on Equity

Net Income / Shareholder’s equity (NOTE 3)

37,000 / 216,000 = 17.13%

82,000 / 356,000 = 23.03%

EPS

Net income / Outstanding common stock

37,000 / 14,200 = 2.6 per share

82,000 / 19,200 = 4.27 per share

Price/ Earnings Ratio

Current Market Price / EPS

18 / 2.6 = 6.92 times

27 / 4.27 = 6.32 times

Receivables Turnover Ratio

Net Credit Sales / Average Accounts receivable (NOTE 4)

426,000 / 22,000 = 19.36

786,000 / 26,000 = 30.23

Days to collect

Total days / Receivable turnover ratio

365 / 19.36 = 18.85

365 / 30.23 = 12.07

Inventory Turnover Ratio

Cost of goods sold / Average Inventory (NOTE 5)

237,000 / 84,000 = 2.82

397,000 / 30,500 = 13.01

Days to sell

Total Days / Inventory turnover

365 / 2.82 = 129.43

365 / 13.01 = 28.05

Current Ratio

Current Assets / Current Liabilities

180,000 / 84,000 = 2.14

460,000 / 34,000 = 13.53

NOTE 1: Calculation of Gross Profit

Gross Profit = Sales – Cost of goods sold

Armstrong GP = $426,000 – 237,000 = $189,000

Blair GP = $786,000 – 397,000 = $389,000

NOTE 2: Other Assets given in the question are considered to be current assets. Moreover, since the value of assets was same in previous years also, average of assets is same as current year amount only and hence is not calculated.

NOTE 3: Calculation of shareholder’s equity

Shareholder’s Equity = Assets – Liabilities

Armstrong equity = $344,000 – 128,000 = $216,000

Blair’s Equity = $744,000 – 388,000 = $356,000

NOTE 4: Calculation of Average Accounts Receivable

Armstrong Receivable = ($12,000 + $32,000) / 2 = $22,000

Blair’s Receivable = (30,000 + 22,000) / 2 = 26,000

NOTE 5: Calculation of average inventory

Armstrong inventory = (84,000 + 84,000) / 2 = $84,000

Blair Inventory = (37,000 + 24,000) / 2 = $30,500

Ratio

Calculation

Armstrong

Blair

Net profit Margin

Net Profit / Sales

8.69%

10.43%

Gross Profit Margin

Gross Profit / Sales (NOTE 1)

189,000 / 426,000 = 44.37%

389,000 / 786,000 = 49.49%

Fixed Asset Turnover

Net Sales / Average Fixed Assets (NOTE 2)

426,000 / 164,000 = 2.59

786,000 / 284,000 = 2.76

Return on Equity

Net Income / Shareholder’s equity (NOTE 3)

37,000 / 216,000 = 17.13%

82,000 / 356,000 = 23.03%

EPS

Net income / Outstanding common stock

37,000 / 14,200 = 2.6 per share

82,000 / 19,200 = 4.27 per share

Price/ Earnings Ratio

Current Market Price / EPS

18 / 2.6 = 6.92 times

27 / 4.27 = 6.32 times

Receivables Turnover Ratio

Net Credit Sales / Average Accounts receivable (NOTE 4)

426,000 / 22,000 = 19.36

786,000 / 26,000 = 30.23

Days to collect

Total days / Receivable turnover ratio

365 / 19.36 = 18.85

365 / 30.23 = 12.07

Inventory Turnover Ratio

Cost of goods sold / Average Inventory (NOTE 5)

237,000 / 84,000 = 2.82

397,000 / 30,500 = 13.01

Days to sell

Total Days / Inventory turnover

365 / 2.82 = 129.43

365 / 13.01 = 28.05

Current Ratio

Current Assets / Current Liabilities

180,000 / 84,000 = 2.14

460,000 / 34,000 = 13.53

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