Assume the$$ zero$-$coupon yields on$$ default$-$free securities are as summarized in the following$$ table:

Consider a $5-$year, $$default$-$free bond with annual coupons of $8\%$ and a face value of $ $1,$ Assume the zero$-$coupon yields on default$-$free securities are as summarized in the following table:

Consider a $5-$year, default$-$free bond with annual coupons of $8\%$ and a face value of $$1,000.$

a$.$ Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain.

b$.$ What is the yield to maturity on this bond?

c$.$ If the yield to maturity on this bond increased to $8\mathrm{.}40\%,$ what would the new price be$?$ Data table$000.$

a$.$ Without doing any$$ calculations, determine whether this bond is trading at a premium or at a discount. Explain.

b$.$ What is the yield to maturity on this$$ bond?

c$.$ If the yield to maturity on this bond increased to $8\mathrm{.}40\%,$ what would the new price$$ be$?$