Which of the following statements is CORRECT?

One advantage of a zero coupon Treasury bond is that no one who owns the bond has to pay any taxes on it until it matures or is sold.

Long-term bonds have less price risk but more reinvestment risk than short-term bonds.

If interest rates increase, all bond prices will increase, but the increase will be greater for bonds that have less price risk.

Relative to a coupon-bearing bond with the same maturity, a zero coupon bond has more price risk but less reinvestment risk.

Long-term bonds have less price risk and also less reinvestment risk than short-term bonds.