You are investing in a share of stock. The share will pay a dividend of $$4\mathrm{.}73$ at the end of the first year. The dividend is expected to grow forever at a rate of $3\mathrm{.}62\%$ per year. You require a $9\mathrm{.}17\%$ rate of return on the stock investment. What would be a fair price for this share of stock in $8$ years?

$($Answer to nearest $$0\mathrm{.}01)$