$($Bond valuation$)$ Doisneau $15-$year bonds have an annual coupon interest of $12$percent$,$ make interest payments on a semiannual$$ basis, and have a $$$$1$ comma $000$ par value. If the bonds are trading with a$$ market's required yield to maturity of $13$percent$,$ are these premium or discount$$ bonds? Explain your answer. What is the price of the$$ bonds?

Question content area bottom

Part $1$

a$.$ If the bonds are trading with a yield to maturity of $13\%,$ then $($Select the best choice$$ below.$)$

A$.$

there is not enough information to judge the value of the bonds.

B$.$

the bonds should be selling at a discount because the$$ bond's coupon rate is less than the yield to maturity of similar bonds.

C$.$

the bonds should be selling at a premium because the$$ bond's coupon rate is greater than the yield to maturity of similar bonds.

D$.$

the bonds should be selling at par because the$$ bond's coupon rate is equal to the yield to maturity of similar bonds.