Bethesda Mining Company reports the following balance sheet information for 2013 and 2014.
Explanation:
BETHESDA MINING COMPANY Balance Sheets as of December 31, 2013 and 2014 | |||||||||||||
2013 | 2014 | 2013 | 2014 | ||||||||||
Assets | Liabilities and Owners’ Equity | ||||||||||||
Current assets | Current liabilities | ||||||||||||
Cash | $ | 26,530 | $ | 34,778 | Accounts payable | $ | 194,422 | $ | 202,111 | ||||
Accounts receivable | 57,781 | 78,139 | Notes payable | 89,520 | 141,088 | ||||||||
Inventory | 134,324 | 201,260 | | | | | | | |||||
| | | | | | Total | $ | 283,942 | $ | 343,199 | |||
Total | $ | 218,635 | $ | 314,177 | | | | | | | |||
| | | | | | Long-term debt | $ | 246,000 | $ | 182,750 | |||
Owners’ equity | |||||||||||||
Common stock and paid-in surplus | $ | 209,000 | $ | 209,000 | |||||||||
Accumulated retained earnings | 136,940 | 168,456 | |||||||||||
Fixed assets | | | | | | | |||||||
Net plant and equipment | $ | 657,247 | $ | 589,228 | Total | $ | 345,940 | $ | 377,456 | ||||
| | | | | | | | | | | | ||
Total assets | $ | 875,882 | $ | 903,405 | Total liabilities and owners’ equity | $ | 875,882 | $ | 903,405 | ||||
| | | | | | | | | | | |||
|
Suppose
that the Bethesda Mining Company had sales of $2,166,873 and net income
of $108,381 for the year ending December 31, 2014.
|
Required: |
Calculate ROE using the Du Pont identity. (Do not round intermediate calculations. Round your answers to 2 decimal places (e.g., 32.16). Enter the profit margin and return on equity as percents.)
|
Profit margin | % | |
Total asset turnover | times | |
Equity multiplier | times | |
Return on equity | % |
Explanation:
Profit margin | = Net income / Sales |
= $108,381 / $2,166,873 | |
= 0.0500 or 5.00% | |
Total asset turnover | = Sales / Total assets |
= $2,166,873 / $903,405 | |
= 2.40 | |
Equity multiplier | = Total assets / Total equity |
= $903,405 / $377,456 | |
= 2.39 |
Using the Du Pont identity to calculate ROE, we get: |
ROE | = | (Profit margin)(Total asset turnover)(Equity multiplier) |
ROE | = | (0.0500)(2.40)(2.39) |
ROE | = | 0.2871 or 28.71% |
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