Stock $Y$ has a beta of $1\mathrm{.}05$ and an expected return of $13$ percent. Stock $Z$ has a beta of $0\mathrm{.}70$ and an expected return of $9$ percent. What would the risk$-$free rate have to be for the two stocks to be correctly priced relative to each other?

Note: Do not round intermediate calculations. Enter your answer as a percent rounded to the nearest whole number.

Risk$-$free rate

$\%$