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You are a bond trader. You manage $100m invested in US government bonds. This ...

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You are a bond trader. You manage $100m invested in US government bonds. This money must always be invested in government bonds. You are not allowed to invest in equities or in cash. You currently have $50m invested in a bond with a ten-year maturity paying a 3% coupon, and another $50m invested in a bond with a two-year maturity paying a 10% coupon. You are considering – but have not yet invested in -- a third bond which has a ten-year maturity and a 7% coupon. All bonds have a $1,000 nominal value.

You think interest rates will rise significantly in the near future. Which of the following is the best trading strategy:
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