Which of the following statements is CORRECT?

If a bond is selling at par, its current yield will not be equal to its yield to maturity.

If a bond is selling at its par value, its current yield is equal to its yield to maturity.

All else equal, bonds with longer maturity have larger reinvestment risk than bonds with shorter maturity.

If a bond is selling at a discount, its current yield will be equal to its yield to maturity.

All else equal, bonds with shorter maturities have more interest rate (price) risk than bonds with longer maturities.