Bonds $A,B,$ and $C$ all have a maturity of $10$ years and a yield to maturity of $7\%.$ Bond A$\text{'}$s price exceeds its par value, Bond B$\text{'}$s price equals its par value, and Bond C$\text{'}$s price is less than its par value. None of the bonds can be called. Which of the following statements is CORRECT?

a$.$ Bond A has the most price risk.

b$.$ If the yield to maturity on the three bonds remains constant, the prices of the three bonds will remain the same over the next year.

c$.$ If the yield to maturity on each bond increases to $8\%,$ the prices of all three bonds will decline.

d$.$ If the yield to maturity on each bond decreases to $6\%,$ Bond A will have the largest percentage increase in its price.

e$.$ Bond $C$ sells at a premium over its par value.