HW$1-2.$ You deposit $$10,000$ on a $2-$year fixed$-$term deposit account with the following terms:

$$300$ welcome bonus $3$ months after account opening;

Two quarterly interest payments of $2\mathrm{.}5\%$ of the starting balance, then six quarterly payments of

$1\mathrm{.}75\%($periodic rates$).$

$($a$)$ From a cash flow perspective, is there any difference between the welcome bonus and an interest

payment? Explain why or why not.

$($b$)$ Build a table of quarterly account balances for the duration of your deposit.

$($c$)$ Calculate your simple $2-$year interest rate based on your initial and final balance only. What is the

corresponding annualized interest rate?