Question #261753

Yohe Technology’s stock is expected to pay a dividend of $2.00 a share at the end of the year. The stock currently has a price of $40 a share, and the stock’s dividend is expected to grow at a constant rate of g percent a year. The stock has a beta of 1.2. The market risk premium, kM – kRF, is 7 percent and the risk-free rate is 5 percent. What is the expected price of Yohe’s stock 5 years from today?



1
Expert's answer
2021-11-08T19:38:11-0500

Calculate cost of equity using CAPM model:

(k)=Risk free rate+Beta×\times Market risk free premium


== 5%+1.2×7%5\%+1.2 \times7\%


=13.4%=13.4\%


Calculate growth rate of dividend using Gordon Growth Dividend model:

Po=D1kgP_{o}=\frac{D_{1}}{k-g}


$40=$213.4%g%\$40=\frac{\$2}{13.4\%-g\%}


$5.36$40g=$2\$5.36-\$40g=\$2


g=8.4%g=8.4\%


Calculate terminal value at the end of year 5:

=D1×(1+g%)5kg=\frac {D_{1}\times(1+g\%)^5}{k-g}


=$2×(1+8.4%)513.4%8.4%=\frac {\$2\times(1+8.4\%)^5}{13.4\%-8.4\%}

=$59.87=\$59.87


\therefore the expected price of Yohe’s stock 5 years from today is $59.87\$59.87



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