Which of the following two bonds is more price sensitive to changes in interest rates?

A par$-$value bond, $A,$ with $12$ years to maturity and a $12\%$ coupon rate.

A zero$-$coupon bond, B$,$ with $12$ years to maturity and a $12\%$ yield to maturity.

d$.$ Both have the same sensitivity because both have the same yield to maturity.

a$.$ Bond A because of the higher yield to maturity

b$.$ Bond A because of the longer time to maturity

c$.$ Bond $B$ because of the longer duration