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

$(R)=R_f+$ Beta$*$Market Risk Premium; Expected Return $(R)=$ Dividend Yield $+$ Capital Gains Yield, where dividend yield $=\frac{D_1}{P_0}$ and capital gains yield $=\frac{P_1-P_0}{P_0}$