$1.$ You own a portfolio equally invested in a risk$-$free asset and two stocks. If one of the stocks has a beta of $1\mathrm{.}66$ and the total portfolio is equally as risky as the market, what must the beta be for the other stock in your portfolio? Answer to two decimals.

$2.$A stock has an expected return of $11\mathrm{.}83$ percent, the risk$-$free rate is $2\mathrm{.}89$ percent, and the market risk premium is $5\mathrm{.}72$ percent. What must the beta of this stock be$?$ Answer to two decimals.

$3.$Stock Y has a beta of $0\mathrm{.}9$ and an expected return of $9\mathrm{.}62$ percent. Stock Z has a beta of $2\mathrm{.}1$ and an expected return of $14\mathrm{.}13$ percent. What would the risk$-$free rate $($in percent$)$ have to be for the two stocks to be correctly priced relative to each other? Answer to two decimals.