Semiannual coupon = face value x rate/2
= $1,000 x (3.8% / 2)
= $19
Calculate present value of bond:
= $19 x (1 - (1 + 6.8 / 2))^-30 / (6.8%/2) +1,000 / (1 + 6.8%/2)^30
= $720.63
If face value > present value, bond issued at discount.
If face value < present value, bond is issued at premium.
If face value = present value, bond is issued at par value.
Therefore, the face value ($1,000) > present value ($720.63).
Therefore, the bond is issued at a discount.