A share of stock with a beta of $0\mathrm{.}8$ currently sells for $$50.$ Investors expect the stock to pay a year$-$end dividend of $$5.$ The T$-$bill rate is $1\%,$ and the market risk premium is $6\%.$ If the stock is perceived to be fairly priced today, what much be investors$$ expectation of the price of the stock at the end of the year? $$\_\_\_\_\_\_\_\_\_\_\_\_$ Hint: $[$CAPM$]$ Expected Return $($R$)=$ Rf $+$ Beta$*$Market Risk Premium; Expected Return $($R$)=$ Dividend Yield $+$ Capital Gains Yield, where dividend yield$=$ D$1/$P$0$ and capital gains yield $=($P$1-$P$0)/$P$0$