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Which of the following statements is true?

If market interest rates rise, bond prices will rise.

If market interest rates rise, a $10-$year bond will fall in value more than a $1-$year bond.

If market interest rates rise, a $1-$year bond will fall in value more than a $10-$year bond.

For a given change in market interest rates, the prices of higher$-$coupon bonds change more than the prices of lower$-$coupon bonds.

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