Problem Description: A mortgage lender called Buy$-$Home, originates $2$ loans, $x$ and $Y.$ The loans have Principal amounts of $$550,000$ and

$$425,000,$ respectively and both have a term of $30$ years, with a fixed interest rate of $5\mathrm{.}5\%.$

Buy$-$Home securitizes these loans with Fannie Mae. Fannie Mae creates a pass$-$through Mortgage Backed Security $($MBS$)$ for the lender and

charges a guarantee$-$fee $($G$-$Fee$)$ of $30$ basis points $/$ per annum $($bps$/$annum$)$ to guaranty the credit risk on each of the loans. The loans are

serviced by a mortgage servicer called We$-$Service$-$Loans, who charges a servicing fee of $45$ bps$/$annum for each of the loans, $x$ and $Y.$ Buy$-$Home

sells the MBS to a fixed$-$income mutual fund run by an asset manager called Blue$-$Rock. Please calculate the following.

Fill the table below to answer questions $1,2$ and $3$:

G$-$Fee received by Fannie Mae for the first month, for each of loans $x$ & Y

Loan X:

Loan $Y$ :

Servicing fee received by We$-$Service$-$Loans for the first month, for each of loans X & Y

Loan $x$ :

Loan Y:

Net payment received by Blue$-$Rock's mutual fund for the first month, which purchased the MBS securities$.$

Problem Description: A mortgage lender called Buy$-$Home, originates $2$ loans, $x$ and $Y.$ The loans have Principal amounts of $$550,000$ and $$425,000,$ respectively and both have a term of $30$ years, with a fixed interest rate of $5\mathrm{.}5\%.$

Buy$-$Home securitizes these loans with Fannie Mae. Fannie Mae creates a pass$-$through Mortgage Backed Security $($MBS$)$ for the lender and charges a guarantee$-$fee $($G$-$Fee$)$ of $30$ basis points $/$ per annum $($bps$/$annum$)$ to guaranty the credit risk on each of the loans. The loans are serviced by a mortgage servicer called We$-$Service$-$Loans, who charges a servicing fee of $45$ bps$/$annum for each of the loans, $x$ and $Y.$ Buy$-$Home sells the MBS to a fixed$-$income mutual fund run by an asset manager called Blue$-$Rock. Please calculate the following.

Fill the table below to answer questions $1,2$ and $3$ :

G$-$Fee received by Fannie Mae for the first month, for each of loans X & Y

Loan $x$ :

Loan Y:

$2.$ Servicing fee received by We$-$Service$-$Loans for the first month, for each of loans $x$&$Y$

Loan $x$ :

Loan Y:

$3.$ Net payment received by Blue$-$Rock's mutual fund for the first month, which purchased the MBS securities$.$

$\backslash$table$[[,\backslash$table$[[$Principal$],[$Balance$]],\backslash$table$[[$Monthly$],[$Installment$],[$paid by$],[$borrower$]],\backslash$table$[[$G$-$fee$],[($monthly$)]],\backslash$table$[[$Servicing Fee$],[($monthly$)]],\backslash$table$[[$Payment$],[$available to$],[$MBS Investors$]]],[$Loan X$,$$$550,000,$$$3,122\mathrm{.}84,,,],[$Loan Y$,$$$425,000,$$$2,413\mathrm{.}10,,,],[$Total$,,,,,]]$