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Answer: Due to prepayments, at low yields we expect negative duration
**Correct answer: B** For pass-through MBS pools, prepayment behavior creates **negative convexity** at low yields because borrowers are more likely to refinance when rates fall. However, **duration does not become negative**; it generally remains positive, though it may decline as yields fall. Why the other choices are true: - **A**: Effective duration/convexity are based on **re-pricing under different rate scenarios**, because prepayments make closed-form analytical solutions unavailable. - **C**: At low yields, faster prepayments make the price-yield relationship bend downward, so convexity becomes negative. - **D**: When market yields fall, it is reasonable to assume a **higher PSA** because prepayments tend to accelerate. So the false statement is **B**.
Author: Manit Arora
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Question-105.2. In regard to the effective duration and effective convexity of a pass-through mortgage-backed security (MBS) pool, EACH of the following is true EXCEPT:
A
"Effective" signifies the analytical approximation that is necessary due to variations in prepayment speed; i.e., analytical solutions are not available
B
Due to prepayments, at low yields we expect negative duration
C
Due to prepayments, at low yields, we expect negative convexity
D
As market yields decrease, it is reasonable to increase the PSA assumption; e.g., from 150% PSA to 175% PSA
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