BOND VALUATION Clifford Clark is a recent retiree who is interested in investing some of his savings in corporate bonds. His financial planner has suggested the following bonds:

Bond A has a $7\%$ annual coupon, matures in $12$ years, and has a $$1,000$ face value.

Bond B has a $9\%$ annual coupon, matures in $12$ years, and has a $$1,000$ face value.

Bond C has an $11\%$ annual coupon, matures in $12$ years, and has a $$1,000$ face value.

Each bond has a yield to maturity of $9\%.$

a$.$ Before calculating the prices of the bonds, indicate whether each bond is trading at a premium, at a discount, or at par.

b$.$ Calculate the price of each of the three bonds.

c$.$ Calculate the current yield for each of the three bonds. $($Hint: Refer to footnote $7$ for the definition of the current yield and to Table $7\mathrm{.}1.)$

d$.$ If the yield to maturity for each bond remains at $9\%,$ what will be the price of each bond $1$ year from now? What is the expected capital gains yield for each bond? What is the expected total return for each bond?