
Explanation:
Correct answer: B. $4.414 million
We need:
Pool balance = $1.0 billion
WAC = 4.80%
Monthly interest on the mortgage pool:
Total mortgage payment = $5.247 million
Scheduled principal:
At month 1, 100% PSA implies a very small CPR (0.2% annualized), so the expected prepayment is roughly $166 thousand on the remaining balance after scheduled principal.
So total principal returned to investors is approximately:
Pass-through coupon = 3.60%
Monthly pass-through interest on the original $1.0 billion balance:
Therefore, the total expected cash flow to the pass-through security is $4.414 million.
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Q-106.3. A mortgage pool has a principal balance of $1.0 billion and the weighted average coupon (WAC) of the mortgages in the pool is 4.80%. In the first month, the coupon paid by the mortgage pool (i.e., principal plus interest) is $5.247 million. The pass-through security pays a coupon rate of 3.60%. The model's (expected) prepayment assumption is 100% PSA. On the first month, what is the total expected cash flow to the pass-through security? (hint: cash flow to PT security = scheduled principal + prepaid principal + pass-through interest)
A
$3.167 million
B
$4.414 million
C
$5.014 million
D
$5.247 million