Problem:

Consider a mortgage pass-through security on a pool of 30 mortgages. All mortgages are $1,000,000, 6%, 30-year constant payment mortgage with annual payments. Suppose the prepayment pattern is as follows: year 1, no prepayment, year 2, 5 mortgages prepaid, year 3, 15 mortgages prepaid, and year 4, 5 mortgages prepaid. 5 prepaid in year 5 as well. Assume that the required rate of return on the security is 5%,

Required:

Question: What is the value of the security?

Note: Please show how you came up with the solution.