Which of the following statements are incorrect?

I. A zero coupon bond has a greater price volatility compared to a $5\%$ coupon bond assuming that they have equal time to maturity.

II$.$ If the coupon rate is equal to the yield to maturity, the bond is priced at par.

III. If your risk preference is low volatility you tend to invest in relatively longer term coupon bonds rather than shorter term coupon bonds, all else being equal.

A$)$ I and III.

B$)$ Only II$.$

C$)$ Only III.

D$)$ Only I.