Suppose you bought $100$ shares of stock at an initial price of $$37$ per share. Five months later, the share price was $$47.$ The stock paid a dividend of $$\mathrm{.}28$ per share over the period.

$1)$ Compute the total amount of dollar return on the entire investment.

$2)$ What is the percentage capital gains yield?

$3)$ What is the percentage dividend yield?

$4)$ What is the total percentage rate of return on the investment $($Hint: usually, it is easier to calculate the percentage rate of return on a per$-$share basis.$)$

$5)$ What is the percentage effective annual rate of return?

Please provide explanation with your answer :$)$