Long term bonds are more sensitive to interest rate changes . This is mainly due to the fixed income nature of bonds. This concept can be further clarified with Convexity and Duration of bonds. Longer term bonds are exposed to a larger probability that the rates will change over its remaning duration. Hence longer term bonds are more sensitive to interest rate changes. With change in short term rates the money can be changed and reinvested at the new interest rates which is not the same case for long term bonds as they are locked in for a longer duration.
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