Problem $11-31$ Beta and CAPM

A portfolio that combines the risk$-$free asset and the market portfolio has an expected return of $6\mathrm{.}4$ percent and a standard deviation of $9\mathrm{.}4$ percent. The risk$-$free rate is $3\mathrm{.}4$ percent, and the expected return on the market portfolio is $11\mathrm{.}4$ percent. Assume the capital asset pricing model holds. What expected rate of return would a security earn if it had a $39$ correlation with the market portfolio and a standard deviation of $54\mathrm{.}4$ percent? $($Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.)$

Expected rate of return $$