You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $$2\mathrm{.}25$ a share at the end of the year $($D$1=$ $$2\mathrm{.}25)$ and has a beta of $0\mathrm{.}9.$ The risk$-$free rate is $3\mathrm{.}5\%,$ and the market risk premium is $5\%.$ Justus currently sells for $$50\mathrm{.}00$ a share, and its dividend is expected to grow at some constant rate, g$.$ 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 $?)$ Do not round intermediate calculations. Round your answer to the nearest cent