Use this information for #$14$ and #$15.$ The free cash flow of a company is $$10$ right now. It is expected to grow by $5\%$ for $2$ years and then $8\%$ forever after. The market discount rate is $10\%$

$14)$ What is the value of this firm if it only exists for the next two years?

a$)$ $$17\mathrm{.}77$

b$)$ $$18\mathrm{.}66$

c$)$ $$27\mathrm{.}77$

d$)$ $$28\mathrm{.}66$

$15)$ What is the value of this firm if it exists forever?

a$)$ $$510\mathrm{.}68$

b$)$ $$614\mathrm{.}01$

c$)$ $$620\mathrm{.}18$

d$)$ $$715\mathrm{.}43$