$25.$ Fastgrower inc. just announced that it plans to half its dividend from $$4$ to $$2$ per share and use the extra funds to expand its operations. Prior to this announcement, Fastgrower's dividends were expected to grow at $4\%$ per year and Fastgrower's stock was trading at $$25\mathrm{.}00$ per share. With the new expansion, Fastgrower's dividends are expected to grow at $8\%$ per year indefinitely. Assuming that Fastgrower's risk is unchanged by the expansion, the value of a share of Fastgrower after the announcement is closest to:

A$)$ $$25\mathrm{.}00$ B$)$ $$16\mathrm{.}50$ C$)$ $$31\mathrm{.}25$ D$)$ $$27\mathrm{.}50$