You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $$2\mathrm{.}75$ a share at the end of the year $($D$1=$$$2\mathrm{.}75)$ and has a beta of

$0\mathrm{.}9.$ The risk$-$free rate is $4\mathrm{.}0\%,$ and the market risk premium is $6\%.$ Justus currently sells for $$34\mathrm{.}00$ a share, and its dividend is expected to grow at some constant rate, $9.$

Assuming the market is in equilibrium, what does the market believe will be the stock price 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.