$12.$ The risk$-$free rate is $5\%.$ Asset Actinium $($A$)$ is a claim on a project with expected cash flows to the asset of $$10$ m at the end of year $1,$ and $$20$ m at the end of year $2.$ The market risk premium is expected to be $5\%.$ Asset A is all$-$equity financed. The CAPM assumptions all hold. Assume that investors are concerned about the mean and variance of a security, and that investors hold diversified portfolios of many assets, what is the value of asset A today? The beta of asset A is $2.$