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Suppose that the yield curve is flat at 3%. You want to create a bond portfolio that has a duration of 5 years by investing

Suppose that the yield curve is flat at 3%. You want to create a bond portfolio that has a duration of 5 years by investing in the following two bonds:

Bond A is a three-year bond with a coupon rate of 5%

Bond B is a ten-year bond with a coupon rate of 3%

The coupons are paid, and the rates compounded, annually. What fraction of your portfolio should be invested in bond A?

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