Question: Consider two bonds, a 3-year bond paying an annual coupon of 5% and a 10-year bond also with an annual coupon of 5%. Both currently

Consider two bonds, a 3-year bond paying an annual coupon of 5% and a 10-year bond also with an annual coupon of 5%. Both currently sell at face value. Now suppose interest rates rise to 10%.
a. What is the new price of the 3-year bonds?
b. What is the new price of the 10-year bonds?
c. Do you conclude that long-term or short-term bonds are more sensitive to a change in interest rates?

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