Question
Middling Growth Co. pays annual dividends on its common shares, and has just paid this year's dividend. It has just announced that it suffered a
Middling Growth Co. pays annual dividends on its common shares, and has just paid this year's dividend. It has just announced that it suffered a short-term earnings setback. It has been paying dividends that equal 50% of the previous year's earnings, and its earnings have been growing at 10% per year. This year's earnings were expected to be $10/share, and next year's dividend, to be received a year from today, was expected to be $5/share. The dividend for the year after that was expected to be $5.50 per share, and so on. In fact, Middling Growth announces that it earned only $8 this year. It expects to earn $10 next year, and to resume 10% growth thereafter. Nonetheless, it will pay a dividend of $5/share next year, and then resume paying dividends that grow at 10% per year. The expected dividend stream is:
Year | Expected Earnings Before Setback | Expected Dividend Before Earnings Setback | Expected Earnings After Setback | Expected Dividend after Earnings Setback |
0 | $10 |
| $8 |
|
1 | $11 | $5.00 | $10 | $5.00 |
2 | $12.10 | $5.50 | $11 | $5.00 |
3 | $13.31 | $6.05 | $12.10 | $5.50 |
4 and thereafter | 10% higher than previous year | 10% higher than previous year | 10% higher than previous year | 10% higher than previous year |
The risk-adjusted market rate of interest for Middling Growth shares is r = .12 (12%).
a. What price should Middling Growth shares sell for, immediately after the announcement of the short-term earnings setback?
b. What percentage decline is this compared to the price that Middling Growth shares sold for before the announcement?
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