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Cardinal Corp. has just paid out a per share dividend of $5.05 on its common stock...

Cardinal Corp. has just paid out a per share dividend of $5.05 on its common stock for the year ended. Analysts expext this didvidend to grow at a rapid rate of 12% for the coming four years. the growth in per share dividends will decrease to a constant rate of 4% for the foreseeable future after that. Investors in Cardinal common stock require a return of 10%. Based on the following info we would expect the current price of each share of common stock to be:

$88.74
$92.40
$98.13
$103.80
$115.21

Solutions

Expert Solution

Required rate= 10.00%
Year Previous year dividend Dividend growth rate Dividend current year Horizon value Total Value Discount factor Discounted value
1 5.05 12.00% 5.656 5.656 1.1 5.1418
2 5.656 12.00% 6.33472 6.33472 1.21 5.23531
3 6.33472 12.00% 7.0948864 7.0948864 1.331 5.33049
4 7.0948864 12.00% 7.946272768 137.735 145.6812728 1.4641 99.50227
Long term growth rate (given)= 4.00% Value of Stock = Sum of discounted value = 115.21
Where
Current dividend =Previous year dividend*(1+growth rate)^corresponding year
Total value = Dividend + horizon value (only for last year)
Horizon value = Dividend Current year 4 *(1+long term growth rate)/( Required rate-long term growth rate)
Discount factor=(1+ Required rate)^corresponding period
Discounted value=total value/discount factor

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