Question: 1 . You manage a pension plan with $ 2 0 0 million in assets that have a duration of 1 0 years and $

1. You manage a pension plan with $200 million in assets that have a duration of 10 years and $150 million in liabilities with a duration of 4 years.
a. Calculate your duration gap
b. Are you hurt if interest rates go up, or if they go down?
c. Suppose you want to execute a macro hedge using T-bond futures contracts traded on the CBOT. Do you want to go short or long?
d. Suppose that the cheapest to deliver bond has a duration of 25.3 years. How many contracts will you short/long if you want to hedge your position as completely as possible?

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