Use the following three statements to answer this question:

(I) The prices of bonds with higher durations are more sensitive to interest rate changes than are those with lower durations.

(II) All else being equal, durations will be higher when (1) market yields are lower, (2) bonds have longer maturities, and (3) bonds have lower coupons.

(III) Duration is a measure of risk of the bond

a) I is correct, II, III are incorrect

b) I is incorrect, II, III are correct

c) I, II, and III are correct

d) I, II, and III are incorrect