Which of the following statements is FALSE? Group of answer choices

Shorter maturity zero coupon bonds are less sensitive to changes in interest rates than are longer-term zero coupon bonds.

As interest rates and bond yields fall, bond prices will rise

If a coupon bond's yield to maturity exceeds its coupon rate, the present value of its cash flows at the yield to maturity will be greater than its face value.

Bond prices converge to the bond's face value due to the time effect, but simultaneously move up and down due to unpredictable changes in bond yields.