Q$3)$ Multistage DDM

A company just paid a dividend of $D_0=$$$5\mathrm{.}00.$ The dividend is expected to grow at a rate of $g_1=10\%$

per year for years $t=1$ and $t=2$ and then grow at a rate of $g_2=4\%$ per year thereafter $($e$.$g$.,t=3,$dotsdots. $)$

The discount rate for the stock is $k=8\%.$

a$)$ What is the intrinsic stock price $P_0?$

b$)$ What is the expected divided in year $t=3?$ E$.$g$.,$ what is $E(D_3)?$

c$)$ What is the expected stock price at year $t=3?$ E$.$g$.,$ what is $E(P_3)?$