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A bond that had a 20-year original maturity with 1 year left to maturity has more interest rate price risk than a 10-year original maturity

A bond that had a 20-year original maturity with 1 year left to maturity has more interest rate price risk than a 10-year original maturity bond with 1 year left to maturity. (Assume that the bonds have equal default risk and equal coupon rates, and they cannot be called.) 

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