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An immunized bond portfolio is created to pay a future liability. The portfolio has a YTM of 7%. The liability consists of an expected payment

An immunized bond portfolio is created to pay a future liability. The portfolio has a YTM of 7%. The liability consists of an expected payment of $3 million in 2 years and an expected payment of $5 million in 4 years. What should be the duration of the bond portfolio?

Answer is 3.19 year

just need math

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