Equity analysts predict that a corporation will pay annual dividends of $$1\mathrm{.}5,$ $$2\mathrm{.}0,$ and $$2\mathrm{.}4$ over the next three years. For the following years, dividends are assumed to grow at a constant rate, g $=5\%.$ When r $=15\%,$ what should P$0$ be$?$

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a

$18\mathrm{.}147$

b

$20\mathrm{.}96$

c

$24\mathrm{.}00$

d

$28\mathrm{.}17$