Constant Dividend Growth Valuation

Crisp Cookware's common stock is expected to pay a dividend of $$2\mathrm{.}25$ a share at the end of this year $)=($$$2\mathrm{.}25$; its beta is $0\mathrm{.}9.$ The risk$-$free rate is $3\%$ and the market risk premium is $6\%.$ The dividend is expected to grow at some constant rate, gL$,$ and the stock currently sells for $$40$ a share. Assuming the market is in equilibrium, what does the market believe will be the stock's price at the end of $3$ years $($i$.$e$.,$ what is widehat$(P{)}_3)?$ Do not round intermediate calculations. Round your answer to the nearest cent.