Baggins Systems is a firm that has encountered some financial difficulties. The company projects that they will have enough cash flow to continue paying their current dividend for $5$ more years before they must stop paying a dividend altogether. The company just paid a dividend of $$20\mathrm{.}94,$ and will continue to pay the same dividend for the next $5$ years, after which they will never pay another dividend. What is the value of their stock if the discount rate is $5\mathrm{.}77\%?$

a$.$ $$86\mathrm{.}06$

b$.$ $$96\mathrm{.}26$

c$.$ $$88\mathrm{.}76$

d$.$ $$85\mathrm{.}62$

e$.$ $$90\mathrm{.}62$