You want your portfolio beta to be $1\mathrm{.}25.$ Currently, your portfolio consists of $$5,000$ invested in stock A with a beta of $1\mathrm{.}40$ and $$4,000$ in stock B with a beta of $0\mathrm{.}90.$ You have another $$4,500$ to invest and want to divide it between stock C with a beta of $1\mathrm{.}50$ and a risk$-$free asset. How much should you invest in stock C$?$

Question $32$ options:

$$4,226$

$$4,201$

$$4,183$

$$4,102$

$$4,066$