Suppose that Stock $1$s monthly log return is $40\%$ and that Stock $2$s monthly log return is $60\%.$ Your portfolio includes $70\%$ of Stock $1$ and $30\%$ of Stock $2.$ Please compute the following:

$($a$).$ What are the monthly simple returns of Stock $1$ and Stock $2?$

$($b$).$ What is the monthly simple return of your portfolio?

$($c$).$ What is the annualized simple return of your portfolio?