Given a pool of 30 year fully-amortizing FRMs making monthly payments to investors with the following characteristics:
WAC: 5%
Pass-through rate: 4.5%
Prepayment assumption: 300 PSA
Loans were not seasoned before entering pool
This MBS has been active for a few years in collecting payments from borrowers and making payments to investors.
It's currently month 32 in the pool.
Starting pool balance month in month 32: 54,234,988
What is the dollar amount of prepayment in month 32, servicing fee in month 32, and the starting pool balance for month 33 of this security?