Problem $3-10($LG $3-2)$

Calculate the yield to maturity on the following bonds:

a$.$ A $9\mathrm{.}4$ percent coupon $($paid semiannually$)$ bond, with a $$1,000$ face value and $19$ years remaining to maturity. The bond is selling at $$965.$

b$.$ An $8\mathrm{.}4$ percent coupon $($paid quarterly$)$ bond, with a $$1,000$ face value and $10$ years remaining to maturity. The bond is selling at $$901.$

c$.$ An $11\mathrm{.}4$ percent coupon $($paid annually$)$ bond, with a $$1,000$ face value and $6$ years remaining to maturity. The bond is selling at $$1,051.$

$($For all requirements, do not round intermediate calculations. Round your percentage answers to $3$ decimal places. $($e$.$g$.,32\mathrm{.}161))$

$\backslash$table$[[$a$.,$Yield to maturity,$\%$ per year$],[$b$.,$Yield to maturity,$\%$ per year$],[$c$.,$Yield to maturity,$\%$ per year$]]$