Overseas Bank Is Pooling 50 Similar and Fully Amortized Mortgages

Multiple Choice

Overseas bank is pooling 50 similar and fully amortized mortgages into a pass-through security. The face value of each mortgage is $100,000 paying 180 monthly interest and principal payments at a fixed rate of 9 percent per annum.
-What is the market (present) value of the mortgage pass-through to the investor if the interest rates on this risk category of securities decrease to 7 percent? (Note that investors receive payments net of the 50 basis points servicing fees.)

A) $4,892,200.
B) $5,000,000.
C) $5,152,189.
D) $5,477,910.
E) $5,675,005.