Could someone explain the logic behind the following statements? (Thanks in advance)
Q10)
Statement 1: The greater the duration of a tranche in a sequential-pay CMO structure, the more sensitive its value to changes in the OAS.
Statement 2: All Other things remaining the same, a tranche with a greater duration should have a higher Z Spread (not higher OAS) and option cost.
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My Thought Process -
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As for the first statement, I thought that greater duration means it is more sensitive to interest rate movements. So, I thought it makes sense that the changes in the OAS would be more sensitive to higher duration.
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Again, higher duration means higher interest rate risk exposure. But, not sure why it should have a higher z-sread and not higher OAS, and higher option cost.