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Sagot :
Answer:
The price of Apple just after the current dividend was paid is $26.79.
Explanation:
Note: See the attached file for the calculation of present values for year 1 to 10 dividends.
From the attached excel file, we have:
Previous year dividend in year 1 = Dividend just paid = $3
Total of dividends from year 1 to year 10 = $19.17617169980840
Year 10 dividend = $7.781227380
Therefore, we have:
Year 11 dividend = Year 10 dividend * (100% + Perpetual dividend growth rate) = $7.781227380 * (100% + 3%) = $8.0146642014
Price at year 10 = Year 11 dividend / (Rate of return - Perpetual dividend growth rate) = $8.0146642014 / (20% - 3%) = $47.1450835376471
PV of price at year 10 = Price at year 10 / (100% + Required return)^Number of years = $47.1450835376471 / (100% + 20%)^10 = $7.61419419713817
Price of Apple = Total of dividends from year 1 to year 8 + PV of price at year 10 = $19.17617169980840 + $7.61419419713817 = $26.79
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