Constant Growth: Polish Express just paid a dividend of $$2\mathrm{.}00.$ The dividend will grow at a rate of $8\%$ forever. Investors require a $12\%$ rate of return on the companys stock.

a$.$ Estimate the stock price.

b$.$ If the stock is currently trading for $$40\mathrm{.}00$ on the New York Stock Exchange, would you but it$?$