hard · Debt Capital Markets pricing-yields-curve

Which of the following statements best describes the relationship between the 'Option-Adjusted Duration' and the 'Modified Duration' of a callable bond when it is deep 'in the money' (yields are much lower than the coupon)?

  1. Option-adjusted duration is significantly lower than modified duration.
  2. They are identical until the bond enters its callable window.
  3. Modified duration is always exactly zero for any callable bond, by rule.
  4. Option-adjusted duration is meaningfully higher than the bond's modified duration.

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