Bond A and Bond B both have an$$ yield$-$to$-$maturity of$5\%$ and a coupon rate of$4\%.$ Bond A has a maturity of $15$ years, whereas Bond B has a maturity of $20$ years. Which of these two bonds is exposed to greater interest rate$$ risk?

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Part $1$

A$.$

Bond B

B$.$

Bond A

C$.$

Bonds$$ don't have interest rate risk

D$.$

They are exposed to the same interest rate risk as they have the same$$ yield$-$to$-$maturity and coupon rate