$(18$ points$)$ Assume it is currently the beginning of the year $2025.$ A$.)$ Given an investment horizon of $2030,$ and the data provided below, use a multistage dividend discount model to estimate the intrinsic value of a stock. Assume that after $2030$ that the growth rate of dividends will remain constant. Use linear interpolation to estimate any intermediate$/$unknown dividends. Show your work. B$.)$ If the stock is currently selling for $$53\mathrm{.}20$ per share, is this stock a good buy based on your intrinsic value estimate found in part A$?$ not $$ The dividend payout ratio for the stock is currently $30\%$ The return on equity for the stock is $12\mathrm{.}0\%$ Dividends per share are estimated to be $$1\mathrm{.}50/$year in $2026$ and $$2\mathrm{.}50/$year in $2030$ For $2025,$ the risk$-$free rate is approximately $4\mathrm{.}3\%,$ and is expected to remain constant $$ The historical forecast for the market risk premium is $6\mathrm{.}0\%$ The beta for the company is $1\mathrm{.}35.)(18$ points$)$ Assume it is currently the beginning of the year $2025.$ A$.)$ Given an investment horizon of $2030,$ and the data provided below, use a multistage dividend discount model to estimate the intrinsic value of a stock. Assume that after $2030$ that the growth rate of dividends will remain constant. Use linear interpolation to estimate any intermediate$/$unknown dividends. Show your work. B$.)$ If the stock is currently selling for $\backslash (\backslash$$ $53\mathrm{.}20\backslash )$ per share, is this stock a good buy based on your intrinsic value estimate found in part A $?$ not

$-$ The dividend payout ratio for the stock is currently $\backslash (30\backslash \%\backslash )$

$-$ The return on equity for the stock is $\backslash (12\mathrm{.}0\backslash \%\backslash )$

$-$ Dividends per share are estimated to be $\backslash (\backslash$$ $1\mathrm{.}50\backslash )/$year in $2026$ and $\backslash (\backslash$$ $2\mathrm{.}50\backslash )/$year in $2030$

$-$ For $2025,$ the risk$-$free rate is approximately $\backslash (4\mathrm{.}3\backslash \%\backslash ),$ and is expected to remain constant

$-$ The historical forecast for the market risk premium is $\backslash (6\mathrm{.}0\backslash \%\backslash )$

$-$ The beta for the company is $1\mathrm{.}3$