A stock pays a current dividend of DIV$0=$ $$5\mathrm{.}00.$ Over the next $3$ years the firm expects a super growth period where g$1=50\%$; g$2=30\%$; and g$3=20\%.$ After $3$ years the Long$-$term constant

growth rate is expected to be g $=5\mathrm{.}0\%.$ Assuming that the required return is r $=11\mathrm{.}0\%,$ estimate price using the non$-$constant growth DDM$.$

Group of answer choices

$$159\mathrm{.}56$

$$168\mathrm{.}43$

$$163\mathrm{.}81$

$$172\mathrm{.}94$

$$153\mathrm{.}07$