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A bond portfolio manager has a 20 million bond portfolio consisting of three bonds: 10 million invested in bond A, 5 million in bond B

A bond portfolio manager has a 20 million bond portfolio consisting of three bonds: 10 million invested in bond A, 5 million in bond B and 5 million in bond C. Bond A has a duration of 18 months; bond B has a duration of 45 months and bond C has a duration of 7 years. What is the duration of the bond managers portfolio?

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