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A bond dealer holds $50 million face amount of bond A in his inventory and would like to hedge the interest rate risk of the

A bond dealer holds $50 million face amount of bond A in his inventory and would like to hedge the interest rate risk of the position with bond B. The modified duration of bond A is 6 and the modified duration of bond B is 8. What is an appropriate hedge against the position taken in bond A? Interest rate risk here means an immediate, one-time, parallel yield curve shift. Assume all bonds are priced at par.

A. Sell short $50 million of bond B.

B. Buy $50 million of bond B.

C. Sell short $37.5 million of bond B.

D. Buy $37.5 million of bond B.

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