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A fund manager wishes to fully immunize a current liability by investing in a bond portfolio comprising of the following two bonds: Characteristics Bond A

A fund manager wishes to fully immunize a current liability by investing in a bond portfolio comprising of the following two bonds: Characteristics Bond A Bond B Face value $1,000 $1,000 Settlement 1 July 2020 1 July 2020 Maturity 30 June 2027 30 June 2025 Coupon rate (per annum) Zero 4 percent Yield to maturity (per annum) 6 percent 6 percent Frequency of coupon Semi-annual Semi-annual If the modified duration of the liability is 5.45, what should be the bond portfolio composition (i.e., weight of each bond in the portfolio)?

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