A $$10000$ mortgage passthrough security has a passthrough rate of $4\mathrm{.}5\%,$ a WAC of

$4\mathrm{.}8\%,$ a WAM of $8$ months, and an original maturity of $30$ years. A $4\mathrm{.}5\%$ coupon rate PAC

tranche $(70\%$ of the passthrough par value$)$ and a $4\mathrm{.}5\%$ coupon rate support tranche

$(30\%$ of the passthrough par value$)$ are created out of this passthrough. The initial PAC

collar is $90200$ PSA. Suppose the actual prepayment rate is $250$ PSA. Calculate the

net interest and principal payments to the PAC and support tranches in Month $1.$