Need help with the questions below onbonds,

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1)It is 15 June 2012. A fund manager invests $10 million in 10-year 4% Treasury bonds maturing on 15 December 2017 with yield of 5.5%. The 10-year Treasury bond futures price is quoted at 95.10 on the same day. a) Calculate the duration of the futures contract. b) The manager wants to sell the bond portfolio on 15 December 2012. Calculate the hedge ratio required where the portfolio is to be hedged using 10-year Treasury bond futures contracts. c) If the 10-year Treasury bond futures price is quoted at 94.50 and the Treasury bond yield is 6.0% on 15 December 2012, show the value of the hedged portfolio on 15 December 2012.