$[$Chapter $31\mathrm{.}13]$ Answer the below questions.$($a$)$ Suppose that at the inception of a five$-$year interest$-$rate swap in which the reference rate is $3-$month LIBOR the present value of the floating$-$rate payments is $$16,555,000.$ The fixed$-$rate payments are assumed to be semiannual. Assume also that the following is computed for the fixed$-$rate payments $($using the notation in the chapter$)$:Et$-,$ notional amount x days in period t$-$ x forward discount factor for period t $=$ $$236,500,000.$What is the swap rate for this swap?$($b$)$ Suppose that the five$-$year yield from the on$-$the$-$run Treasury yield curve is $6\mathrm{.}4\%.$ What is the swap spread?