You are considering an investment in Justus Corporation's stock, which is expected to pay a dividend of $$1\mathrm{.}75$ a share at the end of the year $($D$1=$ $$1\mathrm{.}75)$ and has a beta of $0\mathrm{.}9.$ The risk$-$free rate is $3\mathrm{.}0\%,$ and the market risk premium is $5\mathrm{.}5\%.$ Justus currently sells for $$40\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.

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