Calculate the yield to maturity on the following bonds:

a$.$ A $10$ percent coupon $($paid semiannually$)$ bond, with a $$1,000$ face value and $14$ years remaining to maturity. The bond is selling at

$$935.$

b$.$ An $10\mathrm{.}5$ percent coupon $($paid quarterly$)$ bond, with a $$1,000$ face value and $10$ years remaining to maturity. The bond is selling at

$$907.$

c$.$ An $9\mathrm{.}5$ percent coupon $($paid annually$)$ bond, with a $$1,000$ face value and $10$ years remaining to maturity. The bond is selling at

$$1,057.$

Note: For all requirements, do not round intermediate calculations. Round your percentage answers to $3$ decimal places. $($e$.$g$.,$

$32\mathrm{.}161)$