There are two bonds with the same face value $1,000. One maturity is three years, while the other one is 5 years. Both bonds have the annual coupon payments $50. Which of the following statement is NOT correct?
选项：

A: For both bonds, higher interest rates cause the bond to sell for a discount.;
B:For both bonds, lower interest rates cause the bond to sell for a premium.;
C:When the interest rate increases, the price of the 5-year bond is higher than the price of the 3-year bond.;
D:When the interest rate decreases, the increase of prices is greater for the 5-year bond than for the 3-year bond.