Which of the following statements is not true?

a) prices of lower coupon bonds change by more than prices of higher coupon bonds for a given change in the market interest rates.

b) bonds prices rise when interest rates decline

c) prices of long-term bonds change by less than prices of short-term bonds for a given change in market interest rates

d) prices of long-term bonds change by more than prices of short bonds for a given change in market interest rates