$[$Chapter $31\mathrm{.}11]$ Answer the below questions.$($a$)$ Assume that the swap rate for an interest$-$rate swap is $7\%$ and that the fixed$-$rate swap payments are made quarterly on an actual $/360$ basis. If the notional amount of a two$-$year swap is $$20$ million, what is the fixed$-$rate payment at the end of each quarter assuming the following number of days in each quarter?$($b$)$ Assume that the swap in part $($a$)$ requires payments semiannually rather than quarterly.What is the semiannual fixed$-$rate payment?$($c$)$ Suppose that the notional amount for the two$-$year swap is not the same in both years.Suppose instead that in year $1$ the notional amount is $$20$ million, but in year $2$ the notional amount is $$12$ million. What is the fixed$-$rate payment every six months?