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You are managing a portfolio of $1 million. Your target duration is 10 years, and you can choose from two bonds: a zero-coupon bond with

You are managing a portfolio of $1 million. Your target duration is 10 years, and you can choose from two bonds: a zero-coupon bond with 5 years maturity, and a perpetuity, each currently yielding 5%.

a. (Immunization) How much of each bond will you hold in your portfolio (in percentage)?

b. (Rebalance) How will these fractions change next year if target duration is now 9 years?

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