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FRM Part I · FRM Exam Part I · Modeling Non-Parallel Term Structure Shifts and Hedging

A fund holds a bond portfolio with a DV01 of $48,000. It hedges with Treasury futures that have a DV01 of $80 per contract, assuming parallel yield shifts. What position is required to DV01-hedge the portfolio?

The fund should short 600 futures contracts. Dividing the portfolio DV01 of $48,000 by the futures DV01 of $80 gives 600 contracts, and the position must be short so that the futures gain when yields rise and offset the bond losses.

  1. AShort 600 contractsCorrect
  2. BLong 600 contracts
  3. CShort 60 contracts
  4. DShort 6,000 contracts

Explanation

The number of contracts is 48,000 / 80 = 600. The portfolio loses value when yields rise, so the hedge must gain when yields rise, which requires a short futures position. A long position would double the exposure.

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