which of the following statements is false?

1) if the bond trades at a discount, an investor who buys the bond wil earn a return both from receiving the coupons and from receiving a face value that exceeds the price paid for the bond

2) most coupon bond issuers choose a coupon rate so that the bonds will initially trade at, or very near to, par

3) coupon bonds always trade for a discount

4) at any point in time, changes in market interest rates affect a bond's yield to maturity and its price