Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, after which dividends are expected to grow at a rate of 6% forever. Its required return (rs) is 12%. What is the best estimate of the current stock price?

Respuesta :

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment [tex]t_1, t_2 \& t_3[/tex]

Given [tex]D_0=$1.75[/tex]

Yearly growth rate for next 2 years( [tex]g_1[/tex] )=38.00%

[tex]D_1=\$1.75\times 1.38=\$2.42[/tex]

[tex]D_2=\$2.42\times1.38=\$3.34[/tex]

Growth after two years will 6% indefinitely

[tex]g_2=6\%=\dfrac{6}{100}=0.06[/tex]

[tex]D_3=\$3.34\times1.06=\$3.54[/tex]

Estimate of current stock price is

[tex]=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}[/tex]

[tex]=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}[/tex]

=$46.84

Estimate of current stock price is =$46.84