Orwell Building Supplies' last dividend was $$3.$ Its dividend growth rate is expected to be constant at $18\%$ for $5$ years, after which dividends are expected to grow at a rate of $2\%$ forever. Its required return $(r_s)$ is $13\%.$ What is the best estimate of the current stock price?

$$45\mathrm{.}64$

$$50\mathrm{.}01$

$$48\mathrm{.}71$

$$47\mathrm{.}80$

$$51\mathrm{.}65$