A firm's free cash flow this year was $$50$ million. Its FCF is expected to grow at $70\%,50\%,30\%,$ and $10\%$ in the coming four years respectively. After that the FCF is expected to grow at $4\%$ per year indefinitely. If the firm's WACC is $9\%$ and its market value of debt is $200$ million, what is the intrinsic value of its stock if it currently has $100$ million shares outstanding?

a$.$ $$29\mathrm{.}07$

b$.$ $$27\mathrm{.}07$

c$.$ $$33\mathrm{.}29$

d$.$ $$31\mathrm{.}29$

e$.$ $$29\mathrm{.}29$