
Explanation:
Correct answer: C. $1,249,172
The mortgage pool balance is $900 million and the WAC is 6.60%.
Monthly interest rate:
Monthly interest:
Total mortgage payment is $5.748 million.
Scheduled principal:
So scheduled principal is about $797,929.
For month 1, standard PSA CPR is 0.2% annualized.
At 300% PSA:
Convert CPR to SMM:
This gives a small monthly prepayment rate, and applying it to the remaining balance after scheduled principal produces an expected prepayment of about $451,243.
Thus the reduction in principal balance is $1,249,172.
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Q-106.2. A mortgage pool has a principal balance of $900 million and the weighted average coupon (WAC) of the mortgages in the pool is 6.60%. In the first month, the coupon paid by the mortgage pool (principal plus interest) is $5.748 million. The prepayment assumption is 300% PSA. In the first month, what is the REDUCTION in the principal balance; that is, what is the sum of the schedule principal and the expected prepayment of principal?
A
$898,751
B
$797,929
C
$1,249,172
D
$1,505,360