Question: please help me solve the following problem It is April 2. A fund manager responsible for a $20 million bond portfolio decides to hedge the

please help me solve the following problem

It is April 2. A fund manager responsible for a $20 million bond portfolio decides to hedge the value of the bond portfolio with Treasury bond futures traded on the CME. The quoted price for the lune Treasury bond futures is 150. Given a duration of the portfolio of 10, and a duration of the cheapest to deliver bond of 14, how many futures contracts should the manager sell to hedge the portfolio against interest rate risk

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