medium · FRM Part 1

A 300 million position with a modified duration of 8.0 is hedged with bond futures (V_F = $110,000, D_mod, CTD = 6.0).

If the portfolio's duration increases to 9.0 and the CTD bond's duration increases to 7.0, what is the new required number of contracts (N)?

  1. 3,636
  2. 3,857
  3. 3,506
  4. 3,273

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