A firm expects to pay a dividend over each of the next four years $(T=1$ to $4)$ of $$1\mathrm{.}00,$ $$1\mathrm{.}50,$$$2\mathrm{.}50,$ and $$3\mathrm{.}50.$ If growth is then expected to level off at $3\%$ per year, and if you require a $12\mathrm{.}66\%$ rate of return, then how much should you be willing to pay for this stock?

$$29\mathrm{.}16$

$$25\mathrm{.}20$

$$28\mathrm{.}05$

$$31\mathrm{.}55$

$$30\mathrm{.}31$