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Answer: 284 days
## Calculation of Weighted Average Maturity (WAM) To calculate the weighted average maturity, we use the formula: **WAM = Σ(Weight_i × Maturity_i)** Where Weight_i = (Amount_i / Total Amount) ### Step 1: Calculate Total Amount Total = $2M + $3M + $5M + $10M = $20 million ### Step 2: Calculate Weights - Pool 1: $2M / $20M = 0.10 (10%) - Pool 2: $3M / $20M = 0.15 (15%) - Pool 3: $5M / $20M = 0.25 (25%) - Pool 4: $10M / $20M = 0.50 (50%) ### Step 3: Calculate Weighted Maturities - Pool 1: 0.10 × 90 days = 9 days - Pool 2: 0.15 × 180 days = 27 days - Pool 3: 0.25 × 270 days = 67.5 days - Pool 4: 0.50 × 360 days = 180 days ### Step 4: Sum Weighted Maturities WAM = 9 + 27 + 67.5 + 180 = **283.5 days** ≈ **284 days** Therefore, the correct answer is **284 days** (Option D).
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Assume an MBS is composed of the following four different pools of mortgages:
$2 million of mortgages that have a maturity of 90 days.$3 million of mortgages that have a maturity of 180 days.$5 million of mortgages that have a maturity of 270 days.$10 million of mortgages that have a maturity of 360 days.What is the weighted average maturity (WAM) of these mortgage pools?
A
167 days
B
225 days
C
252 days
D
284 days
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