A share of stock has a dividend that is expected to grow at a constant perpetual rate.

During the next year $(t=0$ to $t=1,$ the dividend yield is expected to be $5\mathrm{.}14\%.$

Dividends are paid at year's end.

If the dividend paid at the end of the year $(at=1)$ is expected to be $$7\mathrm{.}54,$ what is a fair price for the stock today?

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