$8\mathrm{.}3($i$)$ Determine the swap rate for a three$-$year swap based on the term structure given in Exercise $8\mathrm{.}2.($ii$)$ Calculate the present value at the time the swap is begun of the swap rate payments made by the payer in $($i$).($iii$)$ Using the swap in Exercise $8\mathrm{.}1($a$)$ and the term structure one year later given in Exercise $8\mathrm{.}2,$ calculate the present value of the remaining swap rate payments at the beginning of the second year of the swap in $8\mathrm{.}1($a$).($iv$)$ Verify that the present value on $($ii$)$ minus the present value in $($iii$)$ is the market value of the $8\mathrm{.}1($a$)$ swap found in $8\mathrm{.}2($ii$).$