Five years ago a XYZ stock paid a $1.15 dividend. Since then it has split two...

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Finance

Five years ago a XYZ stock paid a $1.15 dividend. Since then ithas split two for one once and three for two twice. XYZ currentearnings per share are $1.15, and the plowback ratio is 50%. Thedividends are expected to grow with their historical rate for thenext three years. Beginning year four, XYZ return on equity isexpected to be 9%. If the firm’s appropriate discount rate is 13.5%what the stock price should be? (40 points)

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3.6 Ratings (543 Votes)

1)	Dividend paid 5 years ago converted to per share as of
	today (that is after adjustment for stock splits) =
	= 1.15(1/2)(2/3)*(2/3) =	$ 0.26
2)	Current dividend = 1.15*50% =	$ 0.58
3)	Growth rate in dividends for next 3 years = (0.58/0.26)^(1/5)-1 =	17.41%
4)	Perpetual growth rate form year 4 = 9%*50% =	4.50%
5)	PV of dividends for t1 to t3:
	Year	Dividend	PVIF at 13.5%	PV at 13.5%
	0	$ 0.58	1
	1	$ 0.68	0.88106	$ 0.60
	2	$ 0.80	0.77626	$ 0.62
	3	$ 0.94	0.68393	$ 0.64
	PV of dividends for t1 to t3			$ 1.86
	Terminal value of dividends at t3 = 0.94*1.045/(0.135-0.045) =				$ 10.91
	PV of terminal value = 10.91*0.68393 =			$ 7.46
	Stock price should be			$ 9.33

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Five years ago a XYZ stock paid a $1.15 dividend. Since then ithas split two for one once and three for two twice. XYZ currentearnings per share are $1.15, and the plowback ratio is 50%. Thedividends are expected to grow with their historical rate for thenext three years. Beginning year four, XYZ return on equity isexpected to be 9%. If the firm’s appropriate discount rate is 13.5%what the stock price should be? (40 points)

Five years ago a XYZ stock paid a $1.15 dividend. Since then it has split two...

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