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Reading 35: Financial Analysis TechniquesLOS d习题精选

LOS d: Calculate, classify, and interpret activity, liquidity, solvency, profitability, and valuation ratios.

Which ratio is used to measure a company's internal liquidity?

A)
Interest coverage.
B)
Total asset turnover.
C)
Current ratio.



Total asset turnover measures operating efficiency and interest coverage measures a company’s financial risk.

 

d

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c

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During 2007, Brownfield Incorporated purchased $140 million of inventory. For the year just ended, Brownfield reported cost of goods sold of $130 million. Inventory at year-end was $45 million. Calculate inventory turnover for the year.

A)
3.71.
B)
3.25.
C)
2.89.


 

 


First, calculate beginning inventory given COGS, purchases, and ending inventory. Beginning inventory was $35 million [$130 million COGS + $45 million ending inventory – $140 million purchases]. Next, calculate average inventory of $40 million [($35 million beginning inventory + $45 million ending inventory) / 2]. Finally, calculate inventory turnover of 3.25 [$130 million COGS / $40 million average inventory].

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An analyst has gathered the following information about a company:

  • Cost of goods sold = 65% of sales. 
  • Inventory of $450,000. 
  • Sales of $1 million.

What is the value of this firm’s average inventory processing period using a 365-day year?

A)

0.7 days.

B)

252.7 days.

C)

1.4 days.




COGS = (0.65)($1,000,000) = $650,000

Inventory turnover = CGS / Inventory = $650,000 / $450,000 = 1.4444

Average Inventory Processing Period = 365 / 1.4444 = 252.7 days

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Using a 365-day year, if a firm has net annual sales of $250,000 and average receivables of $150,000, what is its average collection period?

A)

1.7 days.

B)

46.5 days.

C)

219.0 days.




Receivables turnover = $250,000 / $150,000 = 1.66667

Collection period = 365 / 1.66667 = 219 days

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Eagle Manufacturing Company reported the following selected financial information for 2007:

Accounts payable turnover

5.0

Cost of goods sold

$30 million

Average inventory

$3 million

Average receivables

$8 million

Total liabilities

$35 million

Interest expense

$2 million

Cash conversion cycle

13.5 days

Assuming 365 days in the calendar year, calculate Eagle's sales for the year.

A)
$52.3 million.
B)
$58.4 million.
C)
$57.8 million.



Set up the cash conversion cycle formula and solve for the missing variable, sales. Days in payables is equal to 73 [365 / 5 accounts payable turnover]. Days in inventory is equal to 36.5 [365 / ($30 million COGS / $3 million average inventory)]. Given the cash conversion cycle, days in inventory, and days in payables, calculate days in receivables of 50 [13.5 days cash conversion cycle + 73 days in payables – 36.5 days in inventory]. Given days in receivables of 50 and average receivables of $8 million, sales are $58.4 million [($8 million average receivables / 50 days) × 365].

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Given the following information about a firm:

  • Net Sales = $1,000.
  • Cost of Goods Sold = $600. 
  • Operating Expenses = $200.
  • Interest Expenses = $50.
  • Tax Rate = 34%.

What are the gross and operating profit margins?

Gross Operating Margin Operating Profit Margin

A)
40% 10%
B)
40% 20%
C)
20% 15%



Gross profit margin = ($1,000 net sales ? $600 COGS) / $1,000 net sales = 400 / 1,000 = 0.4

Operating profit margin = ($1,000 net sales ? $600 COGS ? $200 operating expenses) / $1,000 net sales = $200 / $1000 = 0.2

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As of December 31, 2007, Manhattan Corporation had a quick ratio of 2.0, current assets of $15 million, trade payables of $2.5 million, and receivables of $3 million, and inventory of $6 million. How much were Manhattan’s current liabilities?

A)
$12.0 million.
B)
$7.5 million.
C)
$4.5 million.



Manhattan’s quick assets were equal to $9 million ($15 million current assets – $6 million inventory). Given a quick ratio of 2.0, quick assets were twice the current liabilities. Thus, the current liabilities must have been $4.5 million ($9 million quick assets / 2.0 quick ratio).

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Wells Incorporated reported the following common size data for the year ended December 31, 20X7:

Income Statement %
Sales 100.0
Cost of goods sold 58.2
Operating expenses 30.2
Interest expense 0.7
Income tax 5.7
Net income 5.2

Balance sheet % %
Cash 4.8 Accounts payable 15.0
Accounts receivable 14.9 Accrued liabilities 13.8
Inventory 49.4 Long-term debt 23.2
Net fixed assets 30.9 Common equity 48.0
Total assets 100.00 Total liabilities & equity 100.0

For 20X6, Wells reported sales of $183,100,000 and for 20X7, sales of $215,600,000. At the end of 20X6, Wells’ total assets were $75,900,000 and common equity was $37,800,000. At the end of 20X7, total assets were $95,300,000. Calculate Wells’ current ratio and return on equity ratio for 20X7.

 

Current ratio

Return on equity

A)

2.4

26.8%

B)

2.4

26.4%

C)

4.6

25.2%




The current ratio is equal to 2.4 [(4.8% cash + 14.9% accounts receivable + 49.4% inventory) / (15.0% accounts payable + 13.8% accrued liabilities)]. This ratio can be calculated from the common size balance sheet because the percentages are all on the same base amount (total).

Return on equity is equal to net income divided by average total equity. Since this ratio mixes an income statement item and a balance sheet item, it is necessary to convert the common-size inputs to dollars. Net income is $11,211,200 ($215,600,000 × 5.2%) and average equity is $41,772,000 [($95,300,000 × 48.0%) + $37,800,000] / 2. Thus, 2007 ROE is 26.8% ($11,211,200 net income / $41,772,000 average equity).

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