Calculate the yield to maturity on the following bonds:

A $9\mathrm{.}7$ percent coupon $($paid semiannually$)$ bond, with a $$1,000$ face value and $22$ years remaining to maturity. The bond is selling at $$950.$

An $10\mathrm{.}2$ percent coupon $($paid quarterly$)$ bond, with a $$1,000$ face value and $10$ years remaining to maturity. The bond is selling at $$904.$

An $9\mathrm{.}2$ percent coupon $($paid annually$)$ bond, with a $$1,000$ face value and $10$ years remaining to maturity. The bond is selling at $$1,054.$