are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $$2\mathrm{.}50$ a share at the end of the year $($D$)2\mathrm{.}50)$ and has a beta of $0\mathrm{.}9.$ The risk$-$free rate is $4\mathrm{.}7\%,$ and the market risk premium is $4\mathrm{.}5\%.$ Justus currently sells for $$30\mathrm{.}00$ a share, and dividend is expected to grow at some constant rate, g$.$ Assuming the market is in equilibrium, what does the market believe will be the stoch ce at the end of $3$ years? $($That is$,$ what is widehat$(P{)}_3?)$ Do not round intermediate calculations. Round your answer to the nearest cent.