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Chapter 8 Solutions

Course: ACCT 644, Spring 2011
School: NYU
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8 Profitability TO Chapter THE NET 1. a. SIC 7370 Services Computer Programming, Data Processing, Etc. b. Item 1 business Google is a global technology leader focused on improving the ways people connect with information. c. Revenue Income from operations Net income 2004 100.0 100.0 100.0 2005 192.5 315.1 367.2 2006 332.5 554.5 771.1 d. These are gigantic numbers. The issue will be when will these numbers...

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8 Profitability TO Chapter THE NET 1. a. SIC 7370 Services Computer Programming, Data Processing, Etc. b. Item 1 business Google is a global technology leader focused on improving the ways people connect with information. c. Revenue Income from operations Net income 2004 100.0 100.0 100.0 2005 192.5 315.1 367.2 2006 332.5 554.5 771.1 d. These are gigantic numbers. The issue will be when will these numbers subside. 2. a. SIC 2000 Food and Kindred Products b. Item 1 Business The Company Flower Foods is one of the largest producers and marketers of bakery products in the United States. c. Flower Foods, Inc. and Subsidiaries Consolidated Statements of Income (in part) For the 52 weeks ended (Amounts in thousands) Sales December 30, 2006 $ 1,888,654 861,583 779,437 759,387 64,250 118,493 217 $ 1,551,30 8 949,612 Materials, supplies, labor and other production costs (exclusive of depreciation and amortization, shown separately below) Selling, marketing, and administrative expenses Depreciation and amortization Income from operations December 31, 2005 $ 1,715,869 January 1, 2005 695,656 59,344 99,286 632,895 56,702 82,274 d. Flower Foods, Inc. and Subsidiaries Consolidated Statements of Income (in part) Horizontal Common-Size Analysis Sales Materials, supplies, labor and other production costs (exclusive of depreciation and amortization, shown separately below) Selling, marketing and administrative expenses Depreciation and amortization Income from operations For the 52 weeks ended December 30, December January 1, 2006 31, 2005 2005 121.7 110.6 100.0 121.8 110.5 100.0 120.0 113.3 144.0 109.9 104.7 120.7 100.0 100.0 100.0 e. These years are comparable, each years has 52 weeks. f. All items increased materially, except for depreciation and amortization. Income from operations increased materially more than the other items. 3. a. 1. SIC 3674 Semiconductors & Related Devices 2. Item 1 Business Industry We are the worlds largest semiconductor chip maker, based on revenue. 3. Intel Corporation Consolidated Statements of Income (in part) Three Years Ended December 30, 2006 (In Millions) Net revenue Cost of sales Gross margin Operating income (1) 2006(1) $35,382 17,164 18,218 5,652 2005 $38,826 15,777 23,049 12,090 2004 $34,209 14,463 19,746 10,130 Cost of sales and operating expenses for the year ended December 31, 2006 include share-based compensation. 218 b. 1. SIC 3674 Semiconductors & Related Devices 2. Item 1 Business General We are a global semiconductor company with facilities around the world. 3. Advanced Micro Devices, Inc. Consolidated Statement of Operations (in part) Three Years Ended December 31, 2006 (In thousands) Total net revenue Cost of sales Gross margin Operating income (loss) 2006 $5,649 2,856 2,793 (47) 2005 $5,848 3,456 2,392 232 2004 $5,001 3,033 1,968 222 c. Intel appears to have preformed better. Operating income declined materially for Intel but it did not go into a loss. There are some good indications for Advanced Micro Devices., especially the increase in gross margin. The increase in gross margin would be a cause for picking Micro Devices. 4. a. 1. SIC 3711 Motor Vehicles & Passenger Car Bodies 2. Ford Motor Company and Subsidiaries Consolidated Statement of Income (in part) For the Years Ended December 31, 2006, 2005, and 2004 (In millions) For the Years Ended December 31, 2006, 2005, and 2004 (in millions) 2006 2005 2004 Automotive: Sales $143,307 $153,474 $147,119 Total cost and expenses 161,228 157,662 147,319 Operating Income (loss) (17,921) (4,188) (200) Financial services: Revenues 16,816 23,422 25,197 Total costs and expenses 14,850 19,564 20,910 Income/(loss) before income taxesfinancial services 1,966 4,953 4,287 219 3. The trend is very negative for both automotive and financial services. Financial services did maintain a profit while automotive had losses in billions. b. 1. SIC 3711 Motor Vehicles & Passenger Car Bodies 2. General Motors Corporation and Subsidiaries Consolidated Statement of Operations (Dollars in millions, except per share amounts) 2006 Net sales and revenues: Automotive sales Financial services and insurance revenues Total net sales and revenues Cost and expenses: Automotive cost of sales Selling, general, and administrative expenses Interest expense Provisions for credit and insurance losses related to financing and insurance operations Other expenses Total costs and expenses Operating loss 2005 2004 $172,927 $160,228 $163,341 34,422 207,349 34,427 194,655 32,010 195,351 164,682 158,887 152,115 25,081 16,945 27,513 15,607 25,969 11,913 3,430 7,024 212,461 (17,806) 4,315 1,584 194,896 (545) 4,071 4,238 215,017 (7,668) 3. Automotive 2006 $ 172,9 27 164,6 82 $ 8,245 Automotive sales Automotive cost of sales Gross profit 2005 $ 160,2 28 158,8 87 $ 1,341 2004 $ 163,3 41 152,1 15 $ 11,22 6 Trend is negative on gross profit. Revenue: Financial services and insurance revenues $ 34,4 22 $ 34,4 27 $ 32,0 10 A modest increase in revenue. The trend was not good for either automotive or financial services and insurance revenues. 220 c. Neither performed good. General Motors performed better because its loss was much less than the Ford loss. Also, General Motors is a much bigger company than Ford. QUESTIONS 8- 1. Profits can be compared to the sales from which they are the residual. They can be compared to the assets that generate sales. Or, they can be viewed as return to the owner. Each measure looks at profits differently. The trends might move in different directions, depending on the base. 8- 2. Extraordinary items are by nature nonrecurring. They should be segregated in order to concentrate on profit that will be expected in the next period. Recurring earnings should be used in trend analysis of profitability. 8- 3. Expenses as a percent of sales must have increased if profits as a percent of sales declined. 8- 4. Profit margin in jewelry is usually much higher than in groceries. Groceries generate total profits based on volume of sales rather than high markup. 8- 5. A drop in profits or a rise in the asset base could cause a decline in the ratio. For example, higher cost of sales could cause a decline; or, a substantial investment in fixed assets that are not yet fully utilized could cause a decline. 8- 6. DuPont analysis relates return on assets to turnover and margin. It allows for further analysis of return on assets by this breakdown. 8- 7. Operating income is sales minus cost of sales and operating expenses. It does not include nonoperating items, such as other income, interest, and taxes. Operating assets are basically current assets plus plant, property, and equipment. They do not include investments, intangibles, and other assets. Removing non-operating items from the DuPont analysis gives a clearer picture of productive operations. 8- 8. Equity earnings are the owners proportionate share of the nonconsolidated subsidiary earnings. These earnings are usually greater than the cash from dividends from the nonconsolidated subsidiary. 8- 9. Return on assets is a function of net profit margin and total asset turnover. Return on assets could decline, given an increase in net profit margin, if the total asset turnover declined sufficiently. 221 8-10. Return on investment measures return to all long-term supplies of funds. It includes net income plus tax-adjusted interest in the numerator and all long-term funds in the denominator. Return on total equity is just return to shareholders. Return on common equity is return only to common shareholders. Net income is reduced by preferred dividends in the numerator, and only common equity is in the denominator. 8-11. Return on investment is a profitability measure comparing income to capital utilized by the firm. Some measures are return on assts, return on equity, or income available to all capital sources, divided by capital. The given ratio is preferred, since it measures the profit available to all long-term sources of capital against that capital. The interest is multiplied by the tax adjustment factor to put interest on an after-tax basis. 8-12. This cannot be determined based only upon the absolute measures. It is necessary to compare these dollar figures to a base, such as investment or sales. Also, it is necessary to know if nonrecurring items are part of the firms income picture. 8-13. Interim reports are less reliable because they are not audited, but they can be very meaningful in indicating trends before the end of the year. 8-14. An objective considered here is timeliness rather than completeness. Full statements would take too long and involve too much cost to produce. 8-15. Comprehensive income includes net changes in (a) foreign currency translation adjustments, (b) unrealized holding gains and losses on available-for-sale marketable securities, and (c) changes to stockholders equity resulting from additional minimum pension liability adjustment. These items will tend to fluctuate more than other income items. 8-16. Pro forma financial information is hypothetical or a projected amount. Used improperly pro forma financial information can be a negative contribution to financial reporting. 222 PROBLEMS PROBLEM 8-1 Net Profit Margin Net Income Before Minority Share of Earnings, Equity Income and Nonrecurring Items Net Sales = 2007 $52,500 $1,050,000 = 5.00% Return on Assets 2006 $40,000 $1,000,0 00 = 4.00% Net Income Before Minority Share of Earnings and Nonrecurring Items Average Total Assets = 2007 $52,500 2006 $40,00 0 $200,0 00 $230,000 = 22.83% Total Asset Turnover Net Sales Average Total Assets = 2007 $1,050,000 $230,000 =4.57 times per year Return on Common Equity = 20.00% = 2006 $1,000,0 00 $200,000 =5.00 times per year Net Income Before 223 Nonrecurring Items Preferred Dividends Average Common Equity 2007 $52,500 $170,000 2006 $40,000 $160,000 = 30.88% = 25.00% 224 Ahl Enterprise has had a substantial rise in profit to sales. This is somewhat tempered by a reduction in asset turnover. Given a slight rise in common equity, there is a substantial rise in return on common equity. PROBLEM 8-2 a. 2007 100.0% 60.7 39.3 14.6 10.0 14.7 5.9 8.8% Sales Cost of goods sold Gross profit Selling expense General expense Operating income Income tax Net income b. 2006 100.0% 60.8 39.2 20.0 8.3 10.9 4.2 6.7% Starr Canning has had a sharp decrease in selling expense coupled with only a modest rise in general expenses giving an overall rise in the net profit margin. PROBLEM 8-3 Earnings before interest and tax $ Interest (750,000 x 6%) Earnings before tax $ Tax Net income $ Preferred dividends Income available to common $ Return on a. Assets = 245,0 00 45,00 0 200,0 00 80,00 0 120,0 00 15,00 0 105,0 00 Net Income Before Minority Share of Earnings and Nonrecurring Items Ending Total Assets 225 = $120,000 $3,000,000 4.00 = % b. Return on Total Equity = Net Income Before Nonrecurring Items Dividends on 6.67 Redeemable Preferred Stock = $120,000 = % Ending Total Equity $1,800,000 226 c. Return on Common Equity = Net Income Before Nonrecurring Items Preferred Dividends Ending Common Equity $120,000 $15,000 = $1,500,000 d. Times Interest Earned = Recurring Earnings, Excluding Interest Expense, Tax Expense Equity Earnings, and Minority Earnings Interest Expense, Including Capitalized Interest 7.00 % $245,0 5.44 = 00 = times $45,000 per year PROBLEM 8-4 Sales Sales returns Cost of goods sold Selling expense General expense Other income Other expense Income tax Net income Vent Molded Plastics 101.0% 1.0 72.1 9.4 7.0 0.4 1.5 4.8 5.5% Plastics Industry 100.3% 0.3 67.1 10.1 7.9 0.4 1.3 5.5 8.5% Sales returns are higher than the industry. Cost of sales is much higher, offset somewhat by lower operating expenses. Other expense (perhaps interest) is somewhat higher. Lower taxes are perhaps caused by lower income. Overall profit is less, primarily due to cost of sales. 227 PROBLEM 8-5 a. $1,589,1 50 $1,294,966 122.72 % = 2007 sales were 122.72% of those in 2006. b. $138,2 04 $137,110 100.80 % = 2007 net earnings were 100.80% of those in 2006. c. 1 Net Profit . Margin 2007 $149,260 $1,589,150 = = 2 Return on . Assets 2007 $149,260 $1,437,636 2006 $149,760 $1,294,9 66 9.39 % = 2006 $149,760 $1,182,1 10 10.38 % = = = 11.56 % Net Income Before Minority Share of Earnings and Nonrecurring Items Ending Total Assets = 3 Total Asset . Turnover 2007 $1,589,150 $1,437,636 Net Income Before Minority Share of Earnings, Equity Income and Nonrecurring Items Net Sales = 12.67 % Net Sales Average Total Assets 2006 $1,294,966 $1,182,110 1.11 times 228 = 1.10 times 4 DuPont . Analysis: 2007 2006 Return on Assets = Net Profit Margin x Total Asset Turnover 10.42* 12.72* = = 9.39% 11.56% x x 1.11 1.10 *Rounding causes the difference from the 10.38% and 12.67% computed in (2). 229 5. 2007 Operating income Net sales 2006 1,589,1 50 651,39 $ 0 135,31 4 526,68 0 275,76 $ 6 $ 1,294,9 66 $ 466,25 0 113,10 0 446,11 0 $ 269,50 6 $ Less: Cost of product sold Research and development expenses General and selling Operating income Operating Income Margin Operating Income Net Sales = 2007 $275,766 $1,589,150 = 17.35% 6. Return on Operating Assets 2006 $269,506 $1,294,9 66 = 20.81% = Operating Income Ending Operating Assets 2007 $275,766 $1,411,686 = 19.53% 7. Operating Asset Turnover 2006 $269,506 $1,159,6 66 = 23.24% = Net Sales Ending Operating Assets 2007 $1,589,150 $1,411,686 = 1.13 times per year 230 2006 $1,294,9 66 $1,159,6 66 = 1.12 times per year 8. DuPont Analysis: 2007: 2006: = 19.61%* 23.31%* Operating Income Margin x Operating Asset Turnover = = Return on Assets 17.35% 20.81 x x 1.13 1.12 *Rounding causes the difference from the 19.53% and 23.24% computed in (6). 231 9. Return on Investment = Net Income Before Minority Share of Earnings and Nonrecurring Items + [(Interest Expense) x (1 Tax Rate)] Ending (Long-Term Liabilities) + Equity 2007 149,26 $ 0 18,768 Net earnings before minority share Interest expense Earnings before tax Provision for income tax Tax rate 1 tax rate Interest expense x (1 tax rate) Net earnings before minority share + interest expense x 1(1 tax rate)] Long-term debt and equity Return on investment Return on Common 10. Equity = 263,76 2 114,50 2 43.4 % 56.6 % 10,623 159,88 3 1,019,4 20 15.7 % 2006 $ 149,7 60 11,52 2 271,5 00 121,7 40 44.8 % 55.2 % 6,360 156,1 20 933,2 32 16.7 % Net Income Before Nonrecurring Items Preferred Dividends Ending Common Equity 2007 $138,204 $810,292 = 17.06% 2006 $137,1 10 $720,5 30 = 19.03% d. Profits in relation to sales, assets, and equity have all declined. Turnover has remained stable. Overall, although absolute profits have increased in 2007, compared with 2006, the profitability ratios show a decline 232 PROBLEM 8-6 a. 1 Net Profit . Margin Net Income Before Minority Share of Earnings, Equity Income and Nonrecurring Items Net Sales = 2007 $97,051 $1,600,000 2006 $51,419 $1,300,0 00 2005 $45,101 $1,200,0 00 = 6.07% = 3.96% = 3.76% 2 Return on . Assets Net Income Before Minority Share of Earnings and Nonrecurring Items Average Total Assets = 2007 $97,051 $1,440,600 2006 $51,419 $1,220,0 00 2005 $45,101 $1,180,0 00 = 6.74% = 4.21% = 3.82% 3 Total Asset . Turnover 2007 $1,600,000 $1,440,600 Net Sales Average Total Assets = 2006 $1,300,0 00 $1,220,0 00 2005 $1,200,0 00 $1,180,0 00 = 1.07 times per year = 1.02 times per year = 1.11 times per year 4. DuPont Analysis 2007: Return on Assets 6.74% = = Net Profit Margin 6.07% 233 x x Total Asset Turnover 1.11 times 2006: 2005: 4.24% 3.84% = = 3.96%* 3.76%* x x 1.07 times 1.02 times *Rounding difference from the 4.21% and 3.82% computed in (2). 234 5 Operating Income . Margin Operating Income Net Sales = 2007 1,600,0 $ 00 (2) Net sales Less: Material and manufacturing costs of products sold Research and development General and selling 740,00 0 90,000 600,00 0 1,430,0 $ 00 170,00 $ 0 (1) Operating income (1) Divided by (2) 6. Return on Operating Assets 10.63% 2006 $1,300,000 2006 $ 1,200,0 00 97,500 576,00 0 71,400 465,00 0 $ 1,112,4 00 $ 87,600 7.50% 7.30% 624,000 78,000 500,500 $1,202,500 $ Operating Income Average Operating Assets = 7. Operating Asset Turnover Net Sales Average Operating Assets 2007 $170,000 $1,390,2 00 2006 $97,500 $1,160,0 00 2005 $87,600 $1,090,0 00 = 12.23% Operating Income Average Operating Assets = 8.41% = 8.04% Net Sales Average Operating Assets = 2007 $1,600,0 00 $1,390,2 00 2006 $1,300,0 00 $1,160,0 00 2005 $1,200,0 00 $1,090,0 00 = 1.15 times = 1.12 times = 1.10 times 235 8. DuPont Analysis with operating ratios 2007: 2006: 2005: Return on Assets 12.22%* 8.40%* 8.03% = = = = Operating Income Margin 10.63% 7.50% 7.30% x x x x Operating Asset Turnover 1.15 1.12 1.10 *Rounding difference from the 12.23%, 8.41%, and 8.04% computed in (6). 236 9. Return on Investment Net Income Before Minority Share of Earnings and Nonrecurring Items + [(Interest Expense) x (1 Tax Rate)] Average (Long-Term Liabilities) + Equity = Estimated tax rate: 2007 $ 62,049 (1) Provision for income taxes (2) Earnings before income taxes and 159,10 minority equity $ 0 (1) (2) 39.00% 1 tax rate 61.00% (3) Interest expense x (1 tax rate) $19,000 x 61.00% $18,200 x 59.00% 2006 $ 35,73 1 87,15 $ 0 41.00 % 59.00 % 2005 $ 32,659 $ 77,760 42.00 % 58.00 % 11,590 10,73 8 $17,040 x 58.00% 9,883 (4) Earnings before minority equity 97,051 (3) + (4) 211,10 0 811,20 0 1,022,3 00 (6) Avg. stockholders equity (5) + (6) (B) (A) (B) 10. Return on Total Equity Net income etc. = 121,8 00 790,1 00 911,9 00 214,00 0 770,00 0 984,00 0 10.63% (5) Avg. long-term debt 45,101 108,64 1 (A) 51,41 9 62,15 7 6.82% 5.59% 54,984 Net Income Before Nonrecurring Items Dividends on Redeemable Preferred Stock Average Total Equity 2007 $ 86,851 237 2006 $ 42,91 2005 $ 37,001 $ 811,20 0 =10.71 % Average total equity 9 $ 790,1 00 = 5.43% b. All ratios computed indicate a significant improvement in profitability. 238 $ 770,00 0 = 4.81 PROBLEM 8-7 a. 1 Net Profit . Margin 2007 $171,115 $1,002,100 = 17.08% 2 Return on . Assets 2007 $171,115 $839,000 = 20.40% 3 Total Asset . Turnover Net Income Before Minority Share of Earnings, Equity Income and Nonrecurring Items Net Sales = 2006 $163,4 97 $980,5 00 2005 $143,9 90 $900,0 00 = 16.67% = 16.00% Net Income Before Minority Share of Earnings and Nonrecurring Items Average Total Assets = 2006 $163,4 97 $770,0 00 2005 $143,9 90 $765,0 00 = 21.23% = 18.82% = Net Sales Average Total Assets 2007 $1,002,100 $839,000 2006 $980,500 $770,000 2005 $900,000 $765,000 = 1.19 times per year = 1.27 times per year = 1.18 times per year 4. DuPont Analysis 239 2007: Return on Assets 20.33%* 2006: 2005: = Net Profit Margin = 17.08% 21.17%* = 16.67% 18.88%* = 16.00% x x x x Total Asset Turnover 1.19 times per year 1.27 times per year 1.18 times per year *Rounding difference from the 20.40%, 21.23%, and 18.82% computed in (2). 240 5. Return on Investment Net Income Before Minority Share of Earnings and Nonrecurring Items + [(Interest Expense) x (1 Tax Rate)] Average (Long-Term Liabilities) + Equity = Estimated tax rate: 2007 $ 116,4 73 $ 287,5 88 40.50 % 59.50 % (1) Provision for income taxes (2) Earnings before income taxes Tax rate [(1) + (2)] 1 tax rate (3) Interest expense x (1 tax rate) $14,620 x 59.50% $12,100 x 59.00% $11,250 x 57.70% 7,139 6,491 171,1 15 179,8 14 (6) Average stockholders equity 6. (B) Return on Total Equity Net earnings Average total equity = 163,4 97 170,6 36 143,9 90 150,4 81 120,0 00 406,0 00 34.19 % (A) (5) Average long-term debt (5) + (6) 2005 $ 105,5 60 $ 249,5 50 42.30 % 57.70 % 8,699 (4) Net earnings (3) + (4) 2006 $ 113,6 16 $ 277,1 13 41.00 % 59.00 % 112,0 00 369,5 00 35.44 % 101,0 00 342,0 00 33.97 % Net Income Before Nonrecurring Items Dividends on Redeemable Preferred Stock Average Total Equity 2007 $171,1 15 $406,0 00 2006 $163,4 97 $369,5 00 241 2005 $143,9 90 $342,0 00 = 42.15% 7. Sales to Fixed Assets = 2007 $1,002,100 = 44.25% Net Sales Average Net Fixed Assets 2006 $980,5 00 $281,0 00 = 3.31 2005 $900,0 00 $173,0 00 = 3.49 $302,500 = 42.10% = 5.20 b. The ratios computed indicate a very profitable firm. Most ratios indicate a slight reduction in profitability in 2007. Sales to fixed assets has declined materially, but this is the only ratio for which the trend appears to be negative. PROBLEM 8-8 a. 1. Net Profit Margin = 2007 $20,070 $8,028 Net Income Before Minority Share of Earnings, Equity Income and Nonrecurring Items Net Sales $297,580 2006 $16,660 $6,830 $256,360 2005 $15,380 $6,229 $242,150 = 4.05% = 3.83% = 3.78% 2. Return on Assets = 2007 $20,070 $8,028 $145,760 Net Income Before Minority Share of Earnings and Nonrecurring Items Total Assets 2006 $16,660 $6,830 $137,000 242 2005 $15,380 $6,229 $136,000 = 8.26% 3. Total Asset Turnover 2007 $297,580 $145,760 = 2.04 times per year = 7.18% = = 6.73% Net Sales Total Assets 2006 $256,3 60 $137,0 00 2005 $242,1 50 $136,0 00 = 1.87 times per year = 1.78 times per year 243 4. DuPont Analysis 2007: 2006: 2005: Return on Assets 8.26% 7.16%* 6.73% Net Profit Margin = = = = Total Asset Turnover 2.04 times 1.87 times 1.78 times x 4.05% 3.83% 3.78% x x x *Rounding difference from the 7.18% computed in (2). 5. Operating Income Margin 2007 $26,380 $297,580 = 8.86% Operating Income Net Sales = 2006 $22,86 0 $256,3 60 2005 $20,18 0 $242,1 50 = 8.92% = 8.33% 6. Return on Operating Assets = End of Year Operating Assets Operating Income 2007 $26,380 $89,800 + $45,850 2006 $22,860 $84,500 + $40,300 2005 $20,180 $83,100 + $39,800 = 19.45% = 18.32% = 16.42% 7. Operating Assets Turnover = Net Sales End of Year Operating Assets 2007 $297,580 $89,800 + $45,850 2006 $256,360 $84,500 + $40,300 2005 $242,150 $83,100 + $39,800 = 2.19 times per year = 2.05 times per year = 1.97 times per year 244 245 8. DuPont Analysis 2007: 2006: 2005: Return on Assets 19.40%* 18.29%* 16.41%* = = = = Operating Income Margin 8.86% 8.92% 8.33% x x x x Operating Asset Turnover 2.19 times 2.05 times 1.97 times *Rounding difference from the 19.45%, 18.32%, and 16.42% computed in (6). 9. Gross Profit Margin = Gross Profit Net Sales 2007 $91,580 $297,580 2006 $80,060 $256,360 2005 $76,180 $242,150 = 30.77% = 31.23% = 31.46% b. Net profit margin and total asset turnover both improved. This resulted in a substantial improvement to return on assets. Operating income margin declined slightly in 2007 after a substantial improvement in 2006. Operating asset turnover improved each year. The result of the improvement in operating income margin and operating asset turnover was a substantial improvement in return on operating assets. Gross profit margin declined slightly each year. Overall profitability improved substantially over the three-year period. 246 PROBLEM 8-9 a. 1. Return on Assets (A) (B) (A) (B) 2. Net Income Before Minority Share of Earnings and Nonrecurring Items End of Year Total Assets = 2007 $ 2,100,00 0 $ 2,600,00 0 7,000,00 0 100,000 10,000,0 00 $ 19,700,0 00 10.66% Return on Investment = 2006 $ 1,950,00 0 $ 2,300,00 0 6,200,00 0 100,000 9,000,00 0 $ 17,600,0 00 11.08% 2005 $ 1,700,00 0 $ 2,200,00 0 5,800,00 0 100,000 8,300,00 0 $ 16,400,0 00 10.37% Net Income Before Minority Share of Earnings and Nonrecurring Items + [(Interest Expense) x (1 Tax Rate)] End of Year (Long-Term Liabilities + Equity) Estimated tax rate: 2007 $ 1,500,00 0 3,600,00 0 2006 $ 1,450,00 0 3,400,00 0 2005 $ 1,050,00 0 2,750,00 0 Tax rate = (1) (2) 41.67% 42.65% 38.18% 1 tax rate 58.33% 57.35% 61.82% (1) Provision for income taxes (2) Income before Interest tax (3) expense x (1 tax rate) $800,000 x 58.33% $600,000 x 57.35% $550,000 x 61.82% (4) Net income $ 466,640 $ 344,100 $ $ 2,100,00 0 247 $ 1,950,00 0 340,010 $ 1,700,00 0 (3) + (4) (A) $ 2,566,64 0 Preferred stock Common equity (B) $ 2,040,01 0 $ 7,000,00 0 100,000 10,000,0 00 $ 17,100,0 00 Long-term debt $ 2,294,10 0 $ 6,200,00 0 100,000 9,000,00 0 $ 15,300,0 00 $ 5,800,00 0 100,000 8,300,00 0 $ 14,200,0 00 (A) (B) 3. Return on Total Equity 15.01% 14.99% 14.37% Net Income Before Nonrecurring Items Dividends on Redeemable Preferred Stock Ending Total Equity = 2007 $2,100,000 $100,000 + $10,000,000 2005 $1,700,000 $100,000 + $8,300,000 = 20.79% 4. 2006 $1,950,000 $100,000 + $9,000,000 = 21.43% = 20.24% Return on Common Equity = Net Income Before Nonrecurring Items Preferred Dividends Ending Common Equity 2007 $2,100,000 $14,000 $10,000,000 2006 $1,950,000 $14,000 $9,000,000 2005 $1,700,000 $14,000 $8,300,000 = 20.86% = 21.51% = 20.31% b. Return on assets improved in 2006 and then declined in 2007. Return on investment improved each year. Return on total equity improved and then declined. Return on common equity improved and then declined. In general, profitability has improved in 2006 over 2005 but was down slightly in 2007. c. The use of long-term debt and preferred stock both benefited profitability. 248 Return on common equity is slightly more than return on total equity, indicating a benefit from preferred stock. Return on total equity is substantially higher than return on investment, indicating a benefit from long-term debt. 249 PROBLEM 8-10 a. Sales $ 120,0 00 48,00 0 $ 72,00 0 Gross profit (40%) Cost of goods sold (60%) Beginning inventory $ 10,00 0 100,0 00 $ 110,0 00 ? $ 72,00 0 + Purchases Total available Ending inventory Cost of goods sold Ending inventory ($110,000 $72,000) $ 38,00 0 b. If gross profit were 50%, the analysis would be as follows: Sales $ 120,0 00 60,00 0 $ 60,00 0 Gross profit (50%) Cost of goods sold (50%) Beginning inventory $ 10,00 0 100,0 00 $ 110,0 00 50,00 0 $ 60,00 0 + Purchases Total available Ending inventory Cost of goods sold 250 Ending inventory ($110,000 $60,000) $ 50,00 0 If gross profit were higher, the loss would be higher because ending inventory would be estimated at $50,000 instead of $38,000. 251 PROBLEM 8-11 Net Profit Retained Earnings Total Stockholders Equity a. A stock dividend is declared and paid. 0 - 0 b. Merchandise is purchased on credit. 0 0 0 c. Marketable securities are sold above cost. + + + d. Accounts receivable are collected. 0 0 0 e. A cash dividend is declared and paid. 0 - - f. Treasury stock is purchased and recorded at cost. 0 0 - g. Treasury stock is sold above cost. 0 0 + h. Common stock is sold. 0 0 + i. A fixed asset is sold for less than book value. - - - j. Bonds are converted into common stock. 0 0 + 252 PROBLEM 8-12 a. 1. Net Profit Margin = Net Income Before Minority Share of Earnings Equity Income and Nonrecurring Items Net Sales 2007: $72,70 0 $980,0 00 = 7.42% 2006: $64,90 0 $960,0 00 = 6.76% 2005: $57,80 0 $940,0 00 = 6.15% 2004: $51,20 0 $900,0 00 = 5.69% 2003: $44,90 0 $880,0 00 = 5.10% 2. Total Asset Turnover = Net Sales Average Total Assets 2007: $980,000 ($859,000 + $861,000)/2 = 1.14 times per year 2006: $960,000 ($861,000 + $870,000)/2 = 1.11 times per year 2005: $940,000 ($870,000 + = 1.08 times per year 253 $867,000)/2 2004: 2003: $900,000 ($867,000 + $863,000)/2 = 1.04 times per year Cannot compute average assets. 254 Year-End Balance Sheet Figures 2007: $980,0 00 $859,0 00 = 1.14 times per year 2006: $960,0 00 $861,0 00 = 1.11 times per year 2005: $940,0 00 $870,0 00 = 1.08 times per year 2004: $900,0 00 $867,0 00 = 1.04 times per year 2003: $880,0 00 $863,0 00 = 1.02 times per year 3. Return on Assets = Net Income Before Minority Share of Earnings and Nonrecurring Items Average Total Assets Average Balance Sheet Figures 2007: $72,700 ($859,000 + $861,000)/2 = 8.45% 2006: $64,900 ($861,000 + $870,000)/2 = 7.50% 2005: $57,800 ($870,000 + $867,000)/2 = 6.66% 255 2004: 2003: $51,200 ($867,000 + $863,000)/2 = 5.92% Cannot compute average assets. 256 Year-End Balance Sheet Figures 2007: $72,70 0 $859,0 00 = 8.46% 2006: $64,90 0 $861,0 00 = 7.54% 2005: $57,80 0 $870,0 00 = 6.64% 2004: $51,20 0 $867,0 00 = 5.91% 2003: $44,90 0 $863,0 00 = 5.20% 4. DuPont Return on Assets = Net Profit Margin x Total Asset Turnover Average Balance Sheet Figures 2007: 2006: 2005: 2004: 2003: 7.42% x 1.14 times = 8.46% 6.76% x 1.11 times = 7.50% 6.15% x 1.08 times = 6.64% 5.69% x 1.04 times = 5.92% Cannot compute average assets Year-End Balance Sheet Figures 2007: 2006: 2005: 2004: 2003: 7.42% x 1.14 times = 8.46% 6.76% x 1.11 times = 7.50% 6.15% x 1.08 times = 6.64% 5.69% x 1.04 times = 5.92% 5.10% x 1.02 times = 5.20% 257 5. Operating Income Margin = Operating Income Net Sales 2007: $355,000 $240,000 $980,000 = 11.73% 2006: $344,000 $239,000 $960,000 = 10.94% 2005: $333,000 $238,000 $940,000 = 10.11% 2004: $320,000 $239,000 $900,000 = 9.00% 2003: $314,000 $235,000 $880,000 = 8.98% 6. Operating Asset Turnover = Net Sales Average Operating Assets 2007: $980,000 ($859,000 $80,000 + $861,000 $85,000)/2 = 1.26 times per year 2006: $960,000 ($861,000 $85,000 + $870,000 $90,000)/2 = 1.23 times per year 2005: $940,000 ($870,000 $90,000 + $867,000 $95,000)/2 = 1.21 times per year 2004: $900,000 ($867,000 $95,000 + $863,000 $100,000)/2 258 = 1.17 times per year 2003: Average assets cannot be computed. 259 Year-End Balance Sheet Figures 2007: $980,000 $859,000 $80,000 = 1.26 times per year 2006: $960,000 $861,000 $85,000 = 1.24 times per year 2005: $940,000 $870,000 $90,000 = 1.21 times per year 2004: $900,000 $867,000 $95,000 = 1.17 times per year 2003: $880,000 $863,000 $100,000 7. Return on Operating Assets = 1.15 times per year = Operating Income Average Operating Assets 2007: $355,000 $240,000 ($859,000 $80,000 + $861,000 $85,000)/2 = 14.79% 2006: $344,000 $239,000 ($861,000 $85,000 + $870,000 $90,000)/2 = 13.50% 2005: $333,000 $238,000 ($870,000 $90,000 + $867,000 $95,000)/2 = 12.24% 2004: 2003: $320,000 $239,000 ($867,000 $95,000 + $863,000 $100,000)/2 Average assets cannot be computed. 260 = 10.55% Year-End Balance Sheet Figures 2007: $355,000 $240,000 $859,000 $80,000 2006: $344,000 $239,000 $861,000 $85,000 = 13.53% 2005: $333,000 $238,000 $870,000 $90,000 = 12.18% 2004: $320,000 $239,000 $867,000 $95,000 = 10.49% 2003: $314,000 $235,000 $863,000 $100,000 = 10.35% = 14.76% 8. DuPont Return on Operating Assets = Operating Income Margin x Operating Asset Turnover Average Balance Sheet Figures 2007: 2006: 2005: 2004: 2003: 11.73% x 1.26 = 14.78% 10.94% x 1.23 = 13.46% 10.11% x 1.21 = 12.23% 9.00% x 1.17 = 10.53% Average assets cannot be computed. Year-End Balance Sheet Figures 2007: 2006: 2005: 2004: 2003: 11.73% x 1.26 = 14.78% 10.94% x 1.24 = 13.57% 10.11% x 1.21 = 12.23% 9.00% x 1.17 = 10.53% 8.98% x 1.15 = 10.33% 261 262 9. Sales to Fixed Assets = Net Sales Average Net Fixed Assets 2007: $980,000 ($500,000 + $491,000)/2 = 1.98 2006: $960,000 ($491,000 + $485,000)/2 = 1.97 2005: $940,000 ($485,000 + $479,000)/2 = 1.95 2004: $900,000 ($479,000 + $470,000)/2 = 1.90 2003: Average net fixed assets cannot be computed. Year-End Balance Sheet Figures 2007: $980,0 00 $500,0 00 = 1.96 2006: $960,0 00 $491,0 00 = 1.96 2005: $940,0 00 $485,0 00 = 1.94 2004: $900,0 00 $479,0 00 = 1.88 263 2003: $880,0 00 $470,0 00 = 1.87 264 Net Income Before Minority Share of Earnings and 10. Return on Investment = Nonrecurring Items + [Interest Expense x (1 Tax Rate)] Average (Long-Term Liabilities + Equity) Average Balance Sheet Figures 2007: $72,700 + $6,500(1 0.33) ($859,000 $194,000 + $861,000 $195,500)/2 = 11.58% 2006: $64,900 + $6,700(1 0.34) ($861,000 $195,500 + $870,000 $195,500)/2 = 10.35% 2005: $57,800 + $8,000(1 0.34) ($870,000 $195,500 + $867,000 $195,000)/2 = 9.37% 2004: $51,200 + $8,100(1 0.30) ($867,000 $195,000 + $863,000 $196,500)/2 = 8.50% 2003: Average long-term liabilities + equity cannot be computed. Year-End Balance Sheet Figures 2007: $72,700 + $6,500(1 0.33) $859,000 $194,000 = 11.59% 2006: $64,900 + $6,700(1 0.34) $861,000 $195,500 = 10.42% 2005: $57,800 + $8,000(1 0.34) $870,000 $195,500 = 9.35% 2004: $51,200 + $8,100(1 0.30) $867,000 $195,000 = 8.46% 265 2003: $44,900 + $11,000(1 0.34) $863,000 $196,500 = 7.83% 266 11. Return on Total Equity = Net Income Before Nonrecurring Items Dividends on Redeemable Preferred Stock Average Total Equity Average Balance Sheet Figures 2007: $72,700 $6,400 ($520,000 + $518,000)/2 = 12.77% 2006: $64,900 $6,400 ($518,000 + $515,000)/2 = 11.33% 2005: $57,800 $6,400 ($515,000 + $510,000)/2 = 10.03% 2004: $51,200 $6,400 ($510,000 + $559,000)/2 = 8.38% 2003: Average total equity cannot be computed. Year-End Balance Sheet Figures 2007: $72,700 $6,400 $520,000 = 12.75% 2006: $64,900 $6,400 $518,000 = 11.29% 2005: $57,800 $6,400 $515,000 = 9.98% 2004: $51,200 $6,400 $510,000 = 8.78% 267 2003: $44,90 0 $559,0 00 = 8.03% 268 12. Return on Common Equity = Net Income Before Nonrecurring Items Preferred Dividends Average Common Equity Average Balance Sheet Figures 2007: $72,700 $6,400 $6,300 ($520,000 $70,000 + $518,000 $70,000)/2 = 13.36% 2006: $64,900 $6,400 $6,300 ($518,000 $70,000 + $515,000 $70,000)/2 = 11.69% 2005: $57,800 $ 6,400 $6,300 ($515,000 $70,000 + $510,000 $70,000)/2 = 10.19% 2004: $51,200 $6,400 $6,300 ($510,000 $70,000 + $559,000 $120,000)/2 2003: Average common equity cannot be computed. Year-End Balance Sheet Figures 2007: $72,700 $6,400 $6,300 $520,000 $70,000 = 13.33% 2006: $64,900 $6,400 $6,300 $518,000 $70,000 = 11.65% 2005: $57,800 $ 6,400 $6,300 $515,000 $70,000 = 10.13% 2004: $51,200 $6,400 $6,300 $510,000 $70,000 = 8.75% 2003: $44,900 $10,800 = 7.77% 269 = 8.76% $559,000 $120,000 270 13. Gross Profit Margin = Gross Profit Net Sales 2007: = 36.22% 2006: $344,0 00 $960,0 00 = 35.83% 2005: $333,0 00 $940,0 00 = 35.43% 2004: $320,0 00 $900,0 00 = 35.56% 2005: b. $355,0 00 $980,0 00 $314,0 00 $880,0 00 = 35.68% In general, the profitability appears to be very good and the trend is positive. There was not a significant difference in results between using average balance sheet figures and year-end figures. The year-end figure allowed for an additional year was not a very profitable year in relation to subsequent years. 271 PROBLEM 8 - 13 a. 4 Interest expense represents a recurring item. b. 5 Ideally, return on common equity will indicate the highest return. This is the way it should be since the common equity holders take the most risk. c. 3 A selling price increase would increase the gross profit. d. 2 It would not be feasible to estimate administrative expenses by using gross profit analysis. e. 2 Total asset turnover measures the ability of the firm to generate sales through the use of assets. f. 4 Equity earnings can represent a problem in analyzing profitability because equity earnings are not from operations. g. 1 Intangibles are not considered to be an operating asset. h. 4 Earnings based on percent of holdings by outside owners of consolidated subsidiaries are termed minority earnings. i. 1 Net profit margin x total asset turnover measures DuPont return on assets. j. 4 If net profit margin declines and the total asset turnover declines, then the return on assets cannot rise. k. 3 A reason that equity earnings create a problem in analyzing profitability is because equity earnings are usually less than the related cash flow. l. 3 Usually the return on common equity will have the highest percent of the ratios listed. m. 4 Usually the return on total assets will have the lowest percent of the ratios listed. n. 4 Gain from selling land will be reported on the income statement. o. 5 None of the above describes minority share of earnings. p. 1 Purchase of land at year-end could cause return on assets to decline when the net profit margin is increasing. The year-end purchase of land would not have contributed to profits. 272 CASES CASE 8-1 JEFFS SELF-SERVICE STATION Profitability Planning (This case is effective in illustrating the entity concept, return on investment, cash flow, and the subjective nature of decision making.) a. Indicated return on investment: Average profit for 2007 and 2006: 2007: 2006: Average Depreciation as computed on the prior cost base Depreciation as computed on the purchase cost Adjusted profit Tax, 50% rate Net income Return on Investment = $9,138 $70,000 = $ 20,6 30 17,9 25 $ 38,5 55 $ 19,2 77 $ 1,000 (2,00 0) 18,277 9,139 $ 9,138 13.05% b. Indicated return on investment if help were hired to operate the station: Adjusted profit in part (a) $ 18,27 7 10,00 0 $ 8,277 4,139 $ 4,138 Less cost of hired help New adjusted profit Tax, 50% rate Net income Return on Investment = $4,138 = 273 5.91% $70,000 c. In (a), there is no salary expense. In (b), the salary expense for hired help of $10,000 is deducted. This lowers the taxable income and taxes, giving a net effect of $5,000. The rate of return in (a) must be higher to compensate for the opportunity cost of the salary to the owner. The difference between the rates of return is misleading in terms of judging the investment. The records only reflect the actual cost, while disregarding opportunity cost and personnel time not compensated. All costs need to be considered when judging the investment. d. Indicated cash flow: Receipts: Revenue 2008 $ 185,060 Outlays: Cost of goods sold Added inventory Real estate and property taxes Repairs and maintenance Other expenses Total outlays 160,180 10,000 1,100 1,470 680 $ 173,430 Net cash flow, excluding tax expense 11,630 Less taxes (a) Net cash flow $ 9,815 1,815 (a) Cash flow prior to taxes Add inventory Deduct depreciation Profit Taxes $ 11,630 10,000 (2,000) $ 19,630 $ 9,815 e. Many other considerations can be discussed. Some of these include: 1. Future tax rate. 2. Psychological value of owning the business. 3. Can Mr. Dearden adequately serve as manager? 274 4. Will he be able to maintain or increase the business that was enjoyed by Mr. Szabo? 5. Will there be appreciation in the value of the property? 6. Other investment alternatives. f. This is a subjective question. Either a yes or no answer is acceptable. This question should be discussed in relation to the above questions. CASE 8-2 WORKING ON THE RAILROAD (This case represents an opportunity to review segment reporting). 1. Geographic Data Horizontal Common-Size For the Years ended December 31, 20 06 Canada Australia Mexico Total operating revenues 200 4 15 3.9 12 6.2 N/ A 84. 7 15 7.6 Operating revenues: United States 200 5 132. 2 115. 8 ----- 100 % .0 100 .0 ----- 105. 2 126. 9 100 .0 100 .0 The best area by a substantial margin was the United States, followed by Canada. Total operating revenues was up the most. It was aided by Australia which was not part of the 2005 or 2004 operating revenues. Operating revenues in Mexico were down substantially. 2. Geographic Data Horizontal Common-Size For the Years ended December 31, 2006 275 2005 Long-lived assets located in: United States Canada Australia Mexico Total long-lived assets 82.0 146.1 N/A 14.9 88.1 100.0 100.0 ----100.0 100.0 Long-lived assets were increased very materially in Canada. They decreased materially in the United States. The decrease was so substantial in Mexico that they may be leaving Mexico. 3. The vertical common-size analysis for operating revenues is misleading because Australia entered the picture in 2006, contributing 9.7% of operating revenues. The United States is the major contributor, with over 70.0% of operating revenues. The contribution of Mexico is declining. 4. The United States has over 80.0% of long-lived assets. There has been a material increase in Canada and a material decrease in Mexico. 5. The United States represents the major contributor to operating revenues. Australia entered in 2006 making a substantial contribution to operating revenues. Mexicos contribution has declined substantially. 6. The United States has the majority of the long-lived assets. There was a material increase in Canada and a material decrease in Mexico. CASE 8-3 THE STORY OF STARBUCKS IN SEGMENTS (This case represents an opportunity to review Starbucks in segments.) a. Starbucks Vertical Common-Size Fiscal 2006, Net Revenues Unit ed Stat es Fiscal 2006 Net revenues Company-operated retail Specialty: Internation al 88.9 83.5 276 Global CPG Tota l 84.5 Licensing Foodservice and other Total Specialty Total net revenues 6.0 5.1 14.3 2.2 11.1 100. 0 16.5 100. 0 277 100. 0 ----100. 0 100. 0 11.1 4.4 15.5 100. 0 b. Starbucks Horizontal Common-Size Net Revenues from External Customers Fiscal Year Ended Net revenues from external customers: United States Foreign countries Total Oct. 1, 2006 Oct. 2, 2005 Oct. 3, 2004 14 3.9 16 5.1 14 7.1 118.8 100.0 128.9 100.0 120.3 100.0 c. Starbucks Horizontal Common-Size Long-Lived Assets Fiscal Year Ended Long-lived assets: United States Foreign countries Total Oct. 1, 2006 Oct. 2, 2005 Oct. 3, 2004 14 0.6 15 1.1 14 2.2 110.1 100.0 130.0 100.0 113.0 100.0 d. Comment on (a) Most of the net revenues comes from the United States. Licensing revenues represents a much bigger proportion in international than the United States. Licensing represents 100.0% under Global CPG. Comment on (b) Net revenues were up materially more in foreign countries vs. the United States. Net revenues increased materially in both the United States and foreign countries. 278 c. Comment on (c) Long-lived assets increased much faster in foreign countries than in the United States. Long-lived assets increased materially in both the United States and foreign countries. 279 CASE 8-4 SCOREBOARDS, ELECTRONIC DISPLAYS, ETC. 1. 2005 $15,660 $230,34 6 $17,74 5 $209,9 07 6.80% Net Profit Margin 2004 8.45% 2. Total Asset Turnover $230,34 6 $151,462 $209,907 1.52 times 1.66 times $126,236 3. Return on Assets $15,66 0 $151,4 62 $17,74 5 $126,2 36 10.34% 14.06% $19,43 6 $230,3 46 $27,53 0 $209,9 07 8.44% 13.12% 4. Operating income margin 5. Return on Operating Assets $19,436 $151,462 $2,621 - $1,101 $27,530 $126,236 $1,411 - $920 13.16% 22.22% 6. 280 Sales to Fixed Assets $230,3 46 $31,05 3 $209,9 07 $25,09 6 7.42 times 8.36 times 281 7. 2005 $15,660 + [$211 x (1 26.98%)] $5,556 + $103,910 $17,745 + [$478 x (1 38.07%)] $4,675 + $86,264 $15,814. 07 $109,466 $18,041. 03 $90,939 14.45% Return on Investment 2004 19.84% 8. Return on Total Equity $15,66 0 $103,9 10 $17,7 27 $86,2 64 15.07% 20.55 % $15,66 0 $103,9 10 $17,7 27 $86,2 64 15.07% 20.55 % $73,20 9 $230,3 46 $72,47 1 $209,9 07 31.78% 34.53% 9. Return on Common Equity 10. Gross Profit Margin b. These ratios considered together indicate a material decline in profitability. However, even after the material decline in profitability, the 2005 ratios indicate very good profitability. CASE 8-5 YAHOO SERVICES a. 1. 282 2003 Net Profit Margin 2004 20.90% $1,625,0 97 $5,931,6 54 $3,574,5 17 $9,178,2 01 0.27 times 3. Return on Assets $1,185,024 $437,966 $3,574,517 12.07% 2. Total Asset Turnover $343,172 $147,024 $1,625,097 0.39 times $1,185,024 $437,966 + $94,991 $9,178,201 4.11% 4. Operating Income Margin $343,172 $147,024 + $47,652 $5,931,654 9.17% $688,581 $3,574,5 17 18.19% 5. Return on Operating Assets $295,666 $1,625,09 7 19.26% 14.90% $1,625,0 97 $449,512 $3,574,5 17 $531,696 3.62 Times 7. Return on Investment $688,581 $4,090,495 + 531,696 13.62% 6. Sales to Fixed Assets $295,666 $1,721,709 + $449,512 6.72 Times $343,172 $147,024 $750,000 + $72,890 + 283 $1,185,024 $437,966 $65,875 + $750,000 + $35,907 + 44,266 + $37,478 + 4,363,490 3.75% 8. Return on Total Equity $7,101,446 9.34% $839,553 $7,101,4 46 5.45% 9. Gross Profit Margin $237,879 $4,363,49 0 11.82% $1,266,9 94 $1,625,0 97 $2,275,9 58 $3,574,5 17 77.96% 63.67% 284 b. Many of the ratios showed a material increase in profitability (net profit margin, total asset turnover, return on assets, sales to fixed assets, return on investment, and return on total equity). Operating income margin improved slightly. Gross profit margin declined materially. The increase in revenues has been able to make up for the decline in gross profit margin. c. 1. Yahoo Services Consolidated Statements of Operations Horizontal Common-Size Revenues Cost of revenues Gross profit Operating expenses: Sales and marketing Product development General and administrative Stock compensation expense Amortization of intangibles Total operating expenses Income from operations Other income, net Income before income taxes, earnings in equity interest, minority interests, and cumulative effect of accounting change Provision for income taxes Earnings in equity interests Minority interests in operations of consolidated subsidiaries Net income before cumulative effect of accounting change Cumulative effect of accounting change Net income 285 Years Ended December 31, 2002 2003 2004 100.0 % 170.5 % 375.1 % 100.0 219.9 797.2 100.0 160.3 288.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 100.0 123.4 146.2 156.0 262.2 256.7 138.4 335.3 68.6 181.0 260.1 260.8 384.3 687.7 226.1 780.8 716.5 100.0 100.0 100.0 217.9 206.2 213.7 752.5 614.3 425.9 100.0 381.8 160.9 100.0 100.0 100.0 222.5 N/A 555.6 785.1 N/A 1,960.9 2. Material increase in all items The biggest increase was in net income, but this increase was distorted by the cumulative effect of accounting change in the base year CASE 8-6 EAT AT MY REASTAURANT PROFITABILTY (This case represents an opportunity to view the profitability of three restaurants.) a. Net Profit Margin Yum Brands has the highest net profit margin, followed by Panera Bread, and then Starbucks. (Yum Brands and Panera Bread had the same net profit margin in 2005). The trend was positive for Yum Brands and negative for Panera Bread and Starbucks. b. Return on Assets Starbucks had the best return on assets. Yum Brands had a better return in 2006 than Panera Bread. Panera Bread had a better return in 2005 than did Yum Brands. The trend was favorable for Yum Brands and Starbucks. The trend was negative for Panera Bread. c. Return on Total Equity Yum Brands had a materially better return on total equity than did Panera Bread or Starbucks. Starbucks was in second place followed by Panera Bread. The trend was favorable for Yum Brands and Starbucks. The trend was negative for Panera Bread. d. Yum Brands is the more profitable firm in an investors view because of the outstanding return on total equity. Starbucks would be considered in second place considering its return on total equity and return on assets. 286 THOMSON ONE 1. This Thomson One exercise provides for a comment on the trend on selected profitability ratios for Merck & Company. 2. This Thomson One exercise provides for comments on the trend in selected profitability ratios for Anheuser-Busch and Molson Coors Brewing Company. It also provides for a comparison of the Anheuser-Busch profitability ratios with Molson Coors Brewing Company profitability ratios. 3. This Thomson One exercise provides for comments on the trend in selected profitability ratios for Apple Computer, Dell Computer, and Hewlett-Packard. It also provides for a comparison of the profitability ratios of Apple Computer, Dell Computer, and Hewlett-Packard. 287
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University of Texas - ECE - EE 381K-11
)0102 Wireless Communications (FallIran University of Science and Technology2 MATLAB simulation projects- projectInstructor: Dr. B.Abolhassani9831 Due data: Tuesday, 2 Azar . two-ray .) (10log10Pr) dB ) (log10d GLOS=1 hr=2m ht=50m =-1 f=900MHz 1
University of Texas - ECE - EE 381K-11
)0102 Wireless Communications (FallIran University of Science and Technology3 MATLAB simulation projects- projectInstructor: Dr. B.Abolhassani9831 Due data: Friday, 26 Azar) MATLAB AWGN BPSK . ( SNR 0dB 12dB . )) Gray BPSK
University of Texas - ECE - EE 381K-11
)0102 Wireless Communications (FallIran University of Science and Technology4 MATLAB simulation projects- projectInstructor: Dr. B.Abolhassani9831 Due date: Saturday, 25 Day) BPSK 01msec . 0 KHz 011Hz .) . ()
University of Texas - ECE - EE 381K-11
Wireless Communications (Fall 2010)Iran University of Science and TechnologyInstructor: Dr. B.AbolhassaniQuiz 11- Assume each user of a single base station mobile radio system averagesthree calls per hour, each call lasting an average of two minutes.
Stanford - EEAP - ee359
Chapter 11. In case of an accident, there is a high chance of getting lost. The transportation cost is very high each time. However, if the infrastructure is set once, it will be very easy to use it repeatedly. Time for wireless transmission is negligibl
Stanford - EEAP - ee359
Chapter 21. Pr = Pt 103 = Pt 103 = Pt Gl 4d 4 10 4 1002 = c/fc = 0.062 Pt = 4.39KW2 Pt = 438.65KWAttenuation is very high for high frequencies 2. d= 100m ht = 10m hr = 2m delay spread = = 3. =2 (x +xl) x+x l c= 1.33x +xl =(ht + hr )2 + d2 (ht
Stanford - EEAP - ee359
Chapter 31. d = vt2r + r = d + 2hdEquivalent low-pass channel impulse response is given byc(, t) = 0 (t)ej0 (t) ( 0 (t) + 1 (t)ej1 (t) ( 1 (t)G0 (t) = 4d l with d = vt0 (t) = 2fc 0 (t) D00 (t) = d/cD0 = t 2fD0 (t)dtvfD0 (t) = cos 0 (t)0 (t)
Stanford - EEAP - ee359
Chapter 41. C = B log2 1 +C=SN0 Blog2 1+ NSB1B0As B by LHospitals ruleC=S1N0 ln 22. B = 50 MHzP = 10 mWN0 = 2 109 W/HzN = N0 BC = 6.87 Mbps.Pnew = 20 mW, C = 13.15 Mbps (for x1, log(1 + x) x)B = 100 MHz, Notice that both the bandwidth
Stanford - EEAP - ee359
Chapter 61. (a) For sinc pulse, B =12Ts Ts =12B= 5 105 sP(b) SN R = N0bB = 10Since 4-QAM is multilevel signallingPEs2sSN R = N0bB = N0 BTs = NEBB Ts = 120E SNR per symbol = Ns = 50ESNR per bit = Nb = 2.5 (a symbol has 2 bits in 4QAM)
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Chapter 71. Ps = 103QPSK, Ps = 2Q( s ) 103 , s 0 = 10.8276.MPout (0 ) =1e 0ii=1 1 = 10, 2 = 31.6228, 3 = 100.M =10Pout = 1 e 1= 0.6613M =20Pout = 1 e 11e 0M =30Pout = 1 e 11e 0= 0.191721e2 03= 0.0197M 1e/2. p ( ) = M 1 e/
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Chapter 101. (a)(AAH )T= (AH )T .ATT= (AT ) AT= AAH (AAH )HFor AAH ,= AAH = , i.e. eigen-values are realAAH = QQH(b) X H AAH X = (X H A)(X H A)H = X H A 0 AAH is positive semidenite.(c) IM + AAH = IM + QQH = Q(I + )QHAH positive semidenite
Stanford - EEAP - ee359
Chapter 111. See Fig 12B = 100 KHzfc-Bfc+Bfc = 100 MHzFigure 1: Band of interest.B = 50 KHz, fc = 100 MHzHeq (f ) =1=fH (f )Noise PSD = N0 W/Hz. Using this we getfc +BNoise Power ==N0 |Heq (f )|2 dffc Bfc +BN0f 2 dffc B3 (fc +B )= N
Stanford - EEAP - ee359
Chapter 151. City has 10 macro-cellseach cell has 100 users total number of users = 1000Cells are of size 1 sqkmmaximumdistance traveled to traverse = 2km2 time = 30 = 169.7sIn the new setupnumber of cells = 105 microcellstotal number of users =
Polytechnic University of Puerto Rico - EE - el630
TABLE OF CONTENTSPROBABILITY THEORYLecture 1 Lecture 2 Lecture 3 Lecture 4 Lecture 5 Lecture 6 Lecture 7 Lecture 8 Lecture 9 Lecture 10 Lecture 11 Lecture 12 Lecture 13 Basics Independence and Bernoulli Trials Random Variables Binomial Random Variable A
Polytechnic University of Puerto Rico - EE - el630
2. Independence and Bernoulli Trials (Euler, Ramanujan and Bernoulli Numbers)Independence: Events A and B are independent ifP ( AB ) = P ( A) P ( B ).(2-1) It is easy to show that A, B independent implies A, B; A, B ; A, B are all independent pairs. F
Polytechnic University of Puerto Rico - EE - el630
3. Random VariablesLet (, F, P) be a probability model for an experiment, and X a function that maps every , to a unique point x R, the set of real numbers. Since the outcome is not certain, so is the value X ( ) = x . Thus if B is some subset of R, we m
Polytechnic University of Puerto Rico - EE - el630
4. Binomial Random Variable Approximations, Conditional Probability Density Functions and Stirlings FormulaLet X represent a Binomial r.v as in (3-42). Then from (2-30) n k nk P (k1 X k 2 ) = Pn ( k ) = p q . k = k1 k = k1 k k2 k2(4-1)Since the binom
Polytechnic University of Puerto Rico - EE - el630
5. Functions of a Random VariableLet X be a r.v defined on the model (, F , P ), and suppose g(x) is a function of the variable x. DefineY = g ( X ).(5-1)Is Y necessarily a r.v? If so what is its PDF FY ( y ), pdf fY ( y ) ? Clearly if Y is a r.v, the
Polytechnic University of Puerto Rico - EE - el630
6. Mean, Variance, Moments and Characteristic FunctionsFor a r.v X, its p.d.f f X ( x) represents complete information about it, and for any Borel set B on the x-axisP ( X ( ) B ) =Bf X ( x ) dx .(6-1)Note that f X ( x) represents very detailed info
Polytechnic University of Puerto Rico - EE - el630
7. Two Random VariablesIn many experiments, the observations are expressible not as a single quantity, but as a family of quantities. For example to record the height and weight of each person in a community or the number of people and the total income i
Polytechnic University of Puerto Rico - EE - el630
8. One Function of Two Random VariablesGiven two random variables X and Y and a function g(x,y), we form a new random variable Z asZ = g ( X , Y ).(8-1)Given the joint p.d.f f XY ( x , y ), how does one obtain f Z ( z ), the p.d.f of Z ? Problems of t
Polytechnic University of Puerto Rico - EE - el630
9. Two Functions of Two Random VariablesIn the spirit of the previous lecture, let us look at an immediate generalization: Suppose X and Y are two random variables with joint p.d.f f XY ( x, y). Given two functions g ( x, y ) and h( x, y ), define the ne
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10. Joint Moments and Joint Characteristic FunctionsFollowing section 6, in this section we shall introduce various parameters to compactly represent the information contained in the joint p.d.f of two r.vs. Given two r.vs X and Y and a function g ( x, y
Polytechnic University of Puerto Rico - EE - el630
11. Conditional Density Functions and Conditional Expected ValuesAs we have seen in section 4 conditional probability density functions are useful to update the information about an event based on the knowledge about some other related event (refer to ex
Polytechnic University of Puerto Rico - EE - el630
12. Principles of Parameter EstimationThe purpose of this lecture is to illustrate the usefulness of the various concepts introduced and studied in earlier lectures to practical problems of interest. In this context, consider the problem of estimating an
Polytechnic University of Puerto Rico - EE - el630
13. The Weak Law and the StrongLaw of Large NumbersJames Bernoulli proved the weak law of large numbers (WLLN)around 1700 which was published posthumously in 1713 in histreatise Ars Conjectandi. Poisson generalized Bernoullis theoremaround 1800, and
Polytechnic University of Puerto Rico - EE - el630
14. Stochastic ProcessesIntroduction Let denote the random outcome of an experiment. To every such outcome suppose a waveform X (t, ) X (t , ) is assigned. The collection of such X (t, ) waveforms form a X (t, ) stochastic process. The set of cfw_ k and
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15. Poisson ProcessesIn Lecture 4, we introduced Poisson arrivals as the limiting behavior of Binomial random variables. (Refer to Poisson approximation of Binomial random variables.) From the discussion there (see (4-6)-(4-8) Lecture 4) " k arrivals occ
Polytechnic University of Puerto Rico - EE - el630
16. Mean Square EstimationGiven some information that is related to an unknown quantity of interest, the problem is to obtain a good estimate for the unknown in terms of the observed data. Suppose X 1 , X 2 , , X n represent a sequence of random variable
Polytechnic University of Puerto Rico - EE - el630
17. Long Term Trends and Hurst PhenomenaFrom ancient times the Nile river region has been known for its peculiar long-term behavior: long periods of dryness followed by long periods of yearly floods. It seems historical records that go back as far as 622
Polytechnic University of Puerto Rico - EE - el630
18. Power SpectrumFor a deterministic signal x(t), the spectrum is well defined: If X ( ) represents its Fourier transform, i.e., if X ( ) = x(t )e j t dt ,+(18-1)then | X ( ) |2 represents its energy spectrum. This follows from Parsevals theorem sinc
Polytechnic University of Puerto Rico - EE - el630
20. Extinction Probability for Queues and Martingales(Refer to section 15.6 in text (Branching processes) fordiscussion on the extinction probability). 20.1 Extinction Probability for Queues: A customer arrives at an empty server and immediately goes fo
MIT - EE - 6.432
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.432 Stochastic Processes, Detection and Estimation Problem Set 1 Spring 2004 Issued: Tuesday, February 3, 2004 Due: Tuesday, February 10, 2004Reading: For t
MIT - EE - 6.432
Massachusetts Institute of Technology Department of Electrical Engineering and Computer Science 6.432 Stochastic Processes, Detection and Estimation Problem Set 2 Spring 2004 Issued: Tuesday, February 10, 2004 Due: Thursday, February 19, 2004Reading: For
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 3Spring 2004Issued: Thursday, February 19, 2004Due: Thursday, February 26, 2004Reading: Th
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 4Spring 2004Issued: Thursday, February 26, 2004Due: Thursday, March 4, 2004Reading: This p
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 5Spring 2004Issued: Thursday, March 4, 2004Due: Tuesday, March 16, 2004Reading: This probl
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 6Spring 2004Issued: Tuesday, March 16, 2004Due: Thursday, April 1, 2004Reading: This probl
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 7Spring 2004Issued: Thursday, April 1, 2004Due: Thursday, April 8, 2004Reading: For this p
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 8Spring 2004Issued: Thursday, April 8, 2004Due: Thursday, April 15, 2004Reading: For this
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 9Spring 2004Issued: Thursday, April 15, 2004Due: Thursday, April 29, 2004Reading: Course n
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 10Spring 2004Issued: Thursday, April 29, 2004Due: Thursday, May 6, 2004Final Exam: Our nal
MIT - EE - 6.432
Massachusetts Institute of TechnologyDepartment of Electrical Engineering and Computer Science6.432 Stochastic Processes, Detection and EstimationProblem Set 11Spring 2004Issued: Thursday, May 6, 2004Due: Next time the Red Sox winthe World Series
MIT - EE - 6.431
Massachusetts Institute of TechnologyDepartment of Electrical Engineering & Computer Science6.041/6.431: Probabilistic Systems Analysis(Spring 2010)Problem Set 1Due: September 15, 20101. Express each of the following events in terms of the events A,