A Portfolio Is Worth $24,000,000

Multiple Choice

A portfolio is worth $24,000,000.The futures price for a Treasury note futures contract is 110 and each contract is for the delivery of bonds with a face value of $100,000.On the delivery date the duration of the bond that is expected to be cheapest to deliver is 6 years and the duration of the portfolio will be 5.5 years.How many contracts are necessary for hedging the portfolio?

A) 100
B) 200
C) 300
D) 400