Which of the following statements is correct?

"Everything else held constant, the market price of a discount bond will increase and approach the bond's par value as the maturity date approaches. "

"Bond prices and interest rates move in the same direction, i.e., if interest rates rise, so will bond prices"

"Everything else equal, a convertible bond should have a lower price than a non-convertible bond."

"Everything else equal, a callable bond should have a higher price than a noncallable bond."