1if a bank will invest 300000000 in treasury bonds parprice, Ask an Expert

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1.if a bank will invest $300,000,000 in treasury bonds (par=price) in 3-months. the duration on the bonds is 12.5 year.
a,should the bank buy or sell futures?
b,if the bank hedges with $100,000 T-bond futures with a duration of 9years and a current price of 101,how many contracts does the bank need?
c,if the bank hedges with $1,000,000 T-bill futures with a duration of 0.25 years., and current price of 102,and a basis of 2, how many contracts does the bank need?

2,if you borrow $20,000,000 in bonds(par=price) in 3 month. The duration on the bond is 5years.
a,should you buy or sell a future to hedge your interst rate risk?

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