An analyst has been following American Dream stock. He projects the following dividends for the next three years:

YEAR $123$

Dividend $$1\mathrm{.}58$ $$2\mathrm{.}35$ $$3\mathrm{.}02$

The analyst notes that American Dream stock has a required return of $10\mathrm{.}26\%.$ The analyst projects that dividends will grow at a constant rate of $3\mathrm{.}00\%$ per year after year $3.$

What is the projected selling price for the stock at the end of year $3?$