An investor invests his entire wealth in portfolio Q with an annual risk premium of $10\%$ and a variance of $4\%($standard deviation $20\%).$

The risk portfolio M $($e$.$g$.,$ S&P $500$ index$)$ has an annual risk premium of $6\mathrm{.}6\%$ and a variance of $3\%.$

Based on the above information, which of the following statements is TRUE?

Multiple Choice

The investor should invest $88\%$ of his wealth in market portfolio

The investor's degree of risk aversion is $5$

The price of risk is $0\mathrm{.}73$

The investor should invest $40\%$ of his wealth in risk$-$free asset