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Bond A is priced at par with a (modified) duration of 6.5 years. Bond B is priced at 99 and has a (modified) duration of

Bond A is priced at par with a (modified) duration of 6.5 years. Bond B is priced at 99 and has a (modified) duration of 12 year. You own A. What should you do with respect to B in order for your total position to be relatively unaffected by changes in interest rates?

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a) Buy approximately 0.55 B for each A you own.

b) Sell short approximately 0.55 B for each A you own.

c) Sell short approximately 1.83 B for each A you own.

d) Purchase approximately 99 B for each 100 A you own.

e) Sell short approximately 100 B for each 99 A you own.

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