20 Smart/Gitman/Joehnk • Fundamentals of Investing, Thirteenth Edition
Market price of stock
25 $3.75
Market price of stock $93.75
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d. Both the EPS and P/E drop—to $1.50 and 10 times earnings:
Market price of stock
10 $1.50
Market price of stock $15.00
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e. As shown in the case of Financial Learning Systems, higher earnings improve the stock price for
7.10 We will use the following three ratios:
Return on assets Net profit after taxes/Total assets
Net profit margin Net profit after taxes/Sales
Total asset turnover Sales/Total assets
a. In this problem the most obvious way to calculate ROA is to begin by calculating profits. To do
this, we must determine sales and then apply the net profit margin to this sales figure to
Using the equation for net profit margin, net profits after taxes must be $3,696,000:
0.14 Net profits after taxes/$26.4 million
Note: Or this problem can also be solved by simply multiplying the company’s asset turnover by
its profit margin; i.e., 2.20.14 30.8%.
b. To solve this part of the problem, first find the firm’s equity. We know it has $12 million in
assets, and the problem states that 40% of the assets are financed with equity. Therefore:
Now to find ROE:
ROE
Net Profits $3,696,000
77%
Equity $4,800, 000
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Note: Comparing ROE to ROA, we see that ROE is much larger (77% versus 30.8%). The reason
7.11 Price/earnings (P/E) ratio
Market price of the stock
EPS
First, find EPS:
Net profit after taxes
EPS Number of shares of stock outstanding
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