Nachman Industries just paid a dividend of $D_0=$$$3\mathrm{.}75.$ Analysts expect the company's dividend to grow by $30\%$ this year, by $10\%$ in Year $2,$ and at a constant rate of $4\%$ in Year $3$ and thereafter. The required return on this low$-$risk stock is $10\mathrm{.}00\%.$ What is the best estimate of the stock's current market value? Do not round intermediate calculations.

a$.$ $$82\mathrm{.}73$

b$.$ $$124\mathrm{.}09$

c$.$ $$85\mathrm{.}68$

d$.$ $$89\mathrm{.}43$

e$.$ $$78\mathrm{.}70$