You have the following information regarding rates of return for two stocks, A and B:

$\backslash$table$[[,$Rate of Return $(\%)],[$Probability$,$Stock A$,$Stock B$],[0\mathrm{.}2,5,10],[0\mathrm{.}3,15,15],[0\mathrm{.}3,20,15],[0\mathrm{.}2,15,30]]$

Answer the following questions $(1-3)$ based on above information:

If you invest $60\%$ of your money on stock $)=(0\mathrm{.}6$ and $40\%$ of your money on stock B $)=(0\mathrm{.}4$ and construct a portfolio, what will be your expected rate of return on your portfolio and your portfolio risk $($standard deviation$)?$

If you construct the minimum$-$risk portfolio with A and $B,$ what will be the expected rate of return and the risk $($standard deviation$)$ of your minimum$-$risk portfolio.

Suppose you want to construct a portfolio with a return objective $($expected rate of return on your portfolio$)$ of $16\%.$ How much risk $($standard deviation of portfolio$)$ should you be willing to take?