Suppose that an investor's human capital is close to riskless. She decides to invest in a diversified portfolio of stocks with an expected return of $9\%$ and volatility of $16\%.$ Her other option is a risk$-$free bond that pays $1\%$ every year. Her risk$-$aversion coefficient is A $=5.$ Assume that the value of her human capital is $$3$ million and her financial wealth is $$5$ million. How much should she allocate to the risk$-$free bond?

Group of answer choices

$$5\mathrm{.}0$ million

$$0\mathrm{.}0$ million

$$2\mathrm{.}5$ million

$$2\mathrm{.}0$ million