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. (t=32) Starting pool balance month in month 32: 54,234,988 What is the starting pool balance for month 33 of this security? (Hint: N=360 when t=1, N=359 when t=2, N=358 when t=3....etc) please provide step by step.