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Synovec Company is growing quickly. Dividends are expected to grow at a rate of 30 percent for the next three years, with the growth rate falling off to a constant 4 percent thereafter. If the required return is 10 percent, and the company just paid a dividend of $2.65, what is the current share price

Respuesta :

Answer:

$87.03

Explanation:

Calculation to determine the current share price

First step is to calculate p1

p1= $2.65(1+.30)^3(1+.04) / (.10 - .04)

p1= $2.65(1.30)^3(1.04) / (.10 - .04)

p1=6.054932/.06

p1=100.92

Now let calculate the Current price

p0= [$2.65(1.30) / 1.10] +[$2.65(1.30)^2 / 1.10^2] + [$2.65(1.30)^3 / 1.10^3] + [$100.92/ 1.10^3]

p0=3.1318+4.4782/1.21+5.82205/1.331+$100.92/1.331+

p0=3.1318+3.700992+4.37419+75.82

p0=$87.03

Therefore the current share price is $87.03