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

$\mathrm{.}39$ 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$.,32\mathrm{.}16.)$