Problem 15-19 Incomplete Statements; Analysis of Ratios [LO2, LO3, LO4]
| The following information is available about the company: |
| a. | Selected financial ratios computed from the statements above are given below: |
| | | |
| Current ratio | | 2.40 | |
| Acid-test ratio | | 1.12 | |
| Accounts receivable turnover | | 15.0 | |
| Inventory turnover | | 6.0 | |
| Debt-to-equity ratio | | 0.875 | |
| Times interest earned | | 7.0 | |
| Earnings per share | $ | 4.05 | |
| Return on total assets | | 14 | % |
|
| b. | All sales during the year were on account. |
| c. | The
interest expense on the income statement relates to the bonds payable;
the amount of bonds outstanding did not change throughout the year. |
| d. | There were no changes in the number of shares of common stock outstanding during the year. |
| e. | Selected balances at the beginning of the current year (January 1) were as follows: |
| | |
| Accounts receivable | $ | 160,000 |
| Inventory | $ | 280,000 |
| Total assets | $ | 1,200,000 |
|
| Required: |
Compute the missing amounts on the company's financial statements. (Input
all amounts as positive values. Round your final answers to the nearest
dollar amount. Omit the "$" sign in your response.)
|
Explanation:
| Computation of missing amounts: |
a.
Net operating income:
| Times interest earned = |
Earnings before interest and taxes
|
| Interest expense |
| = |
Earnings before interest and taxes
|
| $45,000 |
| Therefore, the earnings before interest and taxes for the year must be $315,000 ( = $45,000 × 7.0). |
b.
| Net income before taxes = $315,000 − $45,000 = $270,000. |
c.
| Income taxes = $270,000 × 40% tax rate = $108,000. |
d.
| Net income = $270,000 − $108,000 = $162,000. |
e.
| Accounts receivable turnover = |
Sales on account
|
| Average accounts receivable balance |
| = |
$2,700,000
|
| Average accounts receivable balance |
| Therefore,
the average accounts receivable balance for the year must have been
$180,000. The beginning balance was $160,000, so the ending balance must
have been $200,000. |
f.
| Acid test ratio = |
Cash + Marketable securities + Accounts receivable + Short-term notes
|
| Current liabilities |
| = |
Cash + Marketable securities + Accounts receivable + Short-term notes
|
| $250,000 |
| Cash + $0 + $200,000 + $0 = $250,000 × 1.12 = $280,000 |
g.
| Current ratio = |
Current assets
|
| Current liabilities |
| = |
Current assets
|
| $250,000 |
| Current assets = $250,000 × 2.4 = $600,000 |
| Current assets = Cash + Accounts receivable + Inventory |
| $600,000 = $80,000 + $200,000 + Inventory |
| Inventory = $600,000 − $80,000 − 200,000 = $320,000 |
h.
| Inventory turnover = |
Cost of goods sold
|
| Average inventory |
| = |
Cost of goods sold
|
| ($280,000 + $320,000)/2 |
| = |
Cost of goods sold
|
| $300,000 |
| Cost of goods sold = $300,000 × 6.0 = $1,800,000. |
| i. Gross margin = $2,700,000 − $1,800,000 = $900,000. |
j.
| Net operating income = Gross margin − Selling and administrative expenses |
| $315,000 = $900,000 − Selling and administrative expenses |
| Selling and administrative expenses = $900,000 − $315,000 = $585,000 |
k.
| The interest expense for the year was $45,000 and the interest rate was 10%, so the bonds payable must total $450,000. |
l.
| Total liabilities = $250,000 + $450,000 = $700,000. |
m.
| Earnings per share = |
Net income-Preferred dividends
|
| Average number of common shares outstanding |
| = |
$162,000
|
| Average number of common shares outstanding |
| Average number of common shares outstanding = $162,000 ÷ 4.05 per share = 40,000 shares |
| The stock is $2.50 par value per share, so the total common stock must be $100,000. |
n.
| Debt-to-equity ratio = |
Total liabilities
|
| Stockholders' equity |
| = |
$700,000
|
| Stockholders' equity |
| Stockholders' equity = $700,000 ÷ 0.875 = $800,000 |
o.
| Total stockholders' equity = Common stock + Retained earnings |
| $800,000 = $100,000 + Retained earnings |
| Retained earnings = $800,000 − $100,000 = $700,000 |
p.
Total assets = Total Liabilities + Total Stockholders' equity
= $700,000 + $800,000
= $1,500,000. |
| This answer can also be obtained through the return on total assets ratio: |
| Return on total assets = |
Net income + [Interest expense × (1-Tax rate)]
|
| Average total assets |
| = |
$162,000 + [$45,000 × (1 - 0.40)]
|
| Average total assets |
| = |
$189,000
|
| Average total assets |
| Average total assets = $189,000 ÷ 0.14 = $1,350,000 |
| Therefore
the average total assets must be $1,350,000. Since the total assets at
the beginning of the year were $1,200,000, the total assets at the end
of the year must have been $1,500,000 (which would also equal the total
of the liabilities and the stockholders’ equity). |
q.
| Total assets = Current assets + Plant and equipment |
| $1,500,000 = $600,000 + Plant and equipment |
| Plant and equipment = $1,500,000 − $600,000 = $900,000 |
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