Manipulating CAPM Use the basic equation for the capital asset pricing model $($CAPM$)$ to work each of the following problems.

a$.$ Find the required retum for an asset with a beta of $1\mathrm{.}78$ when the risk$-$free rate and market return are $5\%$ and $7\%,$ respectively.

b$.$ Find the risk$-$free rate for a firm with a required return of $12\mathrm{.}651\%$ and a beta of $0\mathrm{.}94$ when the market retum is $13\%.$

c$.$ Find the market return for an asset with a required return of $12\mathrm{.}032\%$ and a beta of $0\mathrm{.}84$ when the risk$-$free rate is $9\%.$

d$.$ Find the beta for an asset with a required return of $10\mathrm{.}698\%$ when the risk$-$free rate and market return are $5\%$ and $12\mathrm{.}7\%,$ respectively.

a$.$ The required return for an asset with a beta of $1\mathrm{.}78$ when the risk$-$free rate and market return are $5\%$ and $7\%,$ respectively, is $\%.($Round to two decimal places.$)$

b$.$ The risk$-$free rate for a firm with a required retum of $12\mathrm{.}651\%$ and a beta of $0\mathrm{.}94$ when the market retum is $13\%$ is $\%.($Round to two decimal places.$)$

c$.$ The market return for an asset with a required retum of $12\mathrm{.}032\%$ and a beta of $0\mathrm{.}84$ when the risk$-$free rate is $9\%$ is $\%.($Round to two decimal places.$)$

d$.$ The beta for an asset with a required return of $10\mathrm{.}698\%$ when the risk$-$free rate and market return are $5\%$ and $12\mathrm{.}7\%,$ respectively, is $($Round to two decimal places.$)$