Marie$-$Eve is predicting that FastMobile Co$.$ will pay a $$6$ dividend one year from now, and its dividends will grow at the rate of $13\%$ for $4$ more years thereafter. She assumes that after year $5$ the growth rate of dividends will slow down to $5\%$ per year forever. If the expected return on a comparable stock is $9\%,$ what should be Marie$-$Eve's estimate of the fair value of the FastMobile Co$.\text{'}$s stock?

a$.$ $$129\mathrm{.}62$

b$.$ $$156\mathrm{.}36$

c$.$ $$196\mathrm{.}52$

d$.$ $$168\mathrm{.}86$

e$.$ $$143\mathrm{.}19$