You want to create a portfolio equally as risky as the market, and you have $$500,000$ to invest. Information about the possible investments is given below:

$\backslash$table$[[$Asset$,$Investment,Beta$],[$Stock A$,$$$140,000,\mathrm{.}85],[$Stock B$,$$$140,000,1\mathrm{.}30],[$Stock C$,,1\mathrm{.}45],[$Risk$-$free asset,,$]]$

How much will you invest in Stock C$?$ How much will you invest in the risk$-$free asset?