You purchased an Apple stock at $$90$ two years ago. You received a dividend of $$1$ today and the price of the stock today is $$120.$

$($a$)$ Compute the holding period return over this two$-$year horizon.

Note: Please express the answer up to $4$ decimal places. For instance, if the answer is $12\mathrm{.}34\%,$ then you must report $0\mathrm{.}1234.$

$($b$)$ What is the annualized holding period return?

Note: Please express the answer up to $4$ decimal places. For instance, if the answer is $12\mathrm{.}34\%,$ then you must report $0\mathrm{.}1234.$