Which of the Following Are False About the Interest-Rate Sensitivity

Multiple Choice

Which of the following are false about the interest-rate sensitivity of bonds? I) Bond prices and yields are inversely related.
II) Prices of long-term bonds tend to be more sensitive to interest-rate changes than prices of short-term bonds.
III) Interest-rate risk is correlated with the bond's coupon rate.
IV) The sensitivity of a bond's price to a change in its yield to maturity is inversely related to the yield to maturity at which the bond is currently selling.

A) I
B) III
C) I, II, and IV
D) II, III, and IV