Bank of America issues a MBS based on a mortgage pool with the following terms: the mortgage pool face value,$10,000,000; the mortgage interest rate, 5%; the mortgage maturity, 4 years. Suppose the MBS has only one type of security, i.e., this is the basic MBS discussed during the class. The MBS has a 4 year maturity.What is the price of this MBS if the market interest rate is 4.5%? Assume annual compounding is used and the annual prepayment rate is 10%. Also, assume prepayment is paid based on the beginning balance of the mortgage pool each year. Finally, there is a 0.25% servicing fee each year based on the beginning balance of the mortgage pool.

Group of answer choices

a. $12,208,906

b. $10,051,108

c. $11,203,871

d. $10,548,450