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Problem $12-13$ Relative Valuation $($LO$3,$ CFA$3)$

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.