Consider a GNMA mortgage pool with principal of $$19$ million. The maturity is $15$ years with a monthly mortgage

payment of $7$ percent per year. Assume no prepayments.

a$.$ What is the monthly mortgage payment $(100$ percent amortizing$)$ on the pool of mortgages? $($Do not round

intermediate calculations. Round your answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

Monthly mortgage payment is $

b$.$ If the GNMA insurance fee is $4$ basis points and the servicing fee is $46$ basis points, what is the yield on the GNMA

pass$-$through? $($Do not round intermediate calculations. Round your answer to $5$ decimal places. $($e$.$g$.,$

$32\mathrm{.}16161))$

Monthly interest rate is

$\%.$

c$.$ What is the monthly payment on the GNMA in part $($b$)?($Do not round intermediate calculations. Round your

answer to $2$ decimal places. $($e$.$g$.,32\mathrm{.}16))$

Monthly payment is $

d$.$ Calculate the first monthly servicing fee paid to the originating FIs. $($Do not round intermediate calculations.

Round your answer to the nearest dollar amount.$)$

Monthly servicing fee is $

e$.$ Calculate the first monthly insurance fee paid to GNMA. $($Do not round intermediate calculations. Round your

answer to the nearest dollar amount.$)$

Monthly insurance payment is $