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You are the new portfolio manager for a large company's pension plan. The plan has to make payments of $5B in a year (t=1), $6B

You are the new portfolio manager for a large company's pension plan. The plan has to make payments of $5B in a year (t=1), $6B in 2 years (t=2), $7B in 3 years (t=3), and $2B in 4 years (t=4). The yield curve is flat at 4%. What is the duration of these liabilities?

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