You have a portfolio with a standard deviation of $25\%$ and an expected return of $20\%.$ You are considering adding one of the two stocks in the following table: If after adding the stock you will have $20\%$ of your money in the new stock and $80\%$ of your money in your existing portfolio, which one should you add?

Standard deviation of the portfolio with stock $A$ is

$\%.($Round to two decimal places.$)$

Data table

$($Click on the following icon in order to copy its contents into a spreadsheet.$)$

$\backslash$table$[[,$Expected Return,Standard Deviation,$\backslash$table$[[$Correlation with Your$],[$Portfolio$\text{'}$s Returns$]]],[$Stock A$,15\%,24\%,0\mathrm{.}3],[$Stock B$,15\%,17\%,0\mathrm{.}8]]$

FIND

$1.$ STD DEVIATION OF PORFOLIO WITH STOCK A

$2.$ STD DEVIATION OF PORTFOLIO WITH STOCK B

$3.$ WHICH ONE IS BETTER?