Question

Nonconstant Growth Stock Valuation

Simpkins Corporation does not pay any dividends because it is expanding rapidly and needs to retain all of its earnings. However, investors expect Simpkins to begin paying dividends, with the first dividend of $2.00 coming 3 years from today. The dividend should grow rapidly - at a rate of 75% per year - during Years 4 and 5. After Year 5, the company should grow at a constant rate of 9% per year. If the required return on the stock is 13%, what is the value of the stock today (assume the market is in equilibrium with the required return equal to the expected return)? Round your answer to the nearest cent. Do not round your intermediate computations.

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Answer 1

The value of the stock is the discounted value of the expected
dividends, discounted at 13%, the required rate of return.
Year	Expected Dividend	PVIF at 13%	PV at 13%
1		0.88496
2		0.78315
3	$              2.000	0.69305	$            1.39
4	$              3.500	0.61332	$            2.15
5	$              6.125	0.54276	$            3.32
PV of dividends t3 to t6			$            6.86
Continuing value of dividends = 6.125*1.09/(0.13-0.09) =				$       166.91
PV of continuing value = 166.91*0.54276 =			$          90.59
Value of the stock today = 6.86+90.59 =			$          97.45