Consider a stock that has a correlation with the market of $0\mathrm{.}75$ and a standard deviation of $24\%.$ According to the CAPM, if market has an expected return of $10\%$ and a standard deviation of $20\%,$ and the risk$-$free rate is $3\%,$ what will be the stock$$s expected rate of return? Express your answer in decimal format, rounded accurately to $4$ decimal places $($e$.$g$.,10\mathrm{.}67\%$ should be expressed as $0\mathrm{.}1067$ and nothing else$).$