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

a$.$ Find the required return for an asset with a beta of $0\mathrm{.}67$ when the risk$-$free rate and market return are $10\%$ and $12\%,$ respectively.

b$.$ Find the risk$-$free rate for a firm with a required return of $13\mathrm{.}825\%$ and a beta of $0\mathrm{.}96$ when the market return is $14\%.$

c$.$ Find the market return for an asset with a required return of $15\mathrm{.}680\%$ and a beta of $1\mathrm{.}55$ when the risk$-$free rate is $5\%.$

d$.$ Find the beta for an asset with a required return of $17\mathrm{.}828\%$ when the risk$-$free rate and market return are $8\%$ and $15\mathrm{.}8\%,$ respectively.

a$.$ The required return for an asset with a beta of $0\mathrm{.}67$ when the risk$-$free rate and market return are $10\%$ and $12\%,$ respectively, is $\%.($Round to two decimal places.$)$

b$.$ The risk$-$free rate for a firm with a required return of $13\mathrm{.}825\%$ and a beta of $0\mathrm{.}96$ when the market return is $14\%$ is

$\%.($Round to two decimal places.$)$

c$.$ The market return for an asset with a required return of $15\mathrm{.}680\%$ and a beta of $1\mathrm{.}55$ when the risk$-$free rate is $5\%$ is

$\%.($Round to two decimal places.$)$

d$.$ The beta for an asset with a required return of $17\mathrm{.}828\%$ when the risk$-$free rate and market return are $8\%$ and $15\mathrm{.}8\%,$ respectively, is $($Round to two decimal places.$)$