When a bond's yield to maturity is less than the bond's coupon rate, the bond:

A. had to be recently issued.

B. is selling at a premium.

C. has reached its maturity date.

D. is priced at par.

E. is selling at a discount.

another question

The market value of an 18-year zero-coupon bond with a maturity value of $1,000 discounted at a 12% annual interest rate with semi-annual compounding is closest to:

A. $192.86.

B. $130.04.

C. $122.74

also, please show the work explaining it