A design studio received a loan of $$4,500$ at $4\mathrm{.}80\%$ compounded semi$-$annually to purchase a camera. If they settled the loan in $2$ years by making quarterly payments, construct the amortization schedule for the loan and answer the following questions:

a$.$ What was the payment size?

Round to the nearest cent

b$.$ What was the size of the interest portion on the first payment?

Round to the nearest cent

c$.$ What was the balance of the loan at end of the first year?

Round to the nearest cent

d$.$ What was the size of the interest portion on the last payment?

Round to the nearest cent