Problem $12-15$ CAPM and Valuation $($LO$2)$

A share of stock with a beta of $\mathrm{.}75$ now sells for $$50.$ Investors expect the stock to pay a year$-$end dividend of $$2.$ The $T-$bill rate is $4\%,$ and the market risk premium is $7\%.$ If the stock is perceived to be fairly priced today, what must be investors' expectation of the price of the stock at the end of the year? $($Do not round intermediate calculations. Round your answer to $2$ decimal places.$)$

Stock price