You want your portfolio beta to be $1\mathrm{.}04.$ Currently, your

portfolio consists of $$3,000$ invested in stock A with a

beta of $1\mathrm{.}68$ and $$2,000$ in stock $B$ with a beta of $0\mathrm{.}70.$

You have another $$5,000$ to invest and want to divide

it between an asset with a beta of $1\mathrm{.}42$ and a risk$-$free

asset. How much should you invest in the risk$-$free

asset?