Question: 8-18 Synovec Co. is growing quickly. Dividends are expected to grow at a rate of 30 percent for the next three years, with the growth
Synovee Co, 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? T=3= the point of time when the constant growth phase starts. D0=$2.65D1=$2.65(1+0.3)1D2=$2.65(1+0.3)2D3=$2.65(1+0.3)3D4=D3(10.04)=$2.65(1+0.3)3(1+0.04) P0=(1+R)1D1+(1+R)2D2+(1+R)3D3+(1+R)31(Rg)D4 PV of (D1)+PV of (D2)+PV of (D3)+{PViF(0.10,3)}( Value of (D4,D5,D6Dm) at time =3) =(1+0.10)12.65(1+0.3)1+(1+0.10)22.65(1+0.3)2+(1+0.10)32.65(1+0.3)3+(1+0.10)31(0.100.04)2.65(1+0.3)3(1+0.04)=87.026584022
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