A firm's bonds have a maturity of $10$ years, with a $$1000$ face value, a $9\%$ annual coupon, are callable in $5$ years at $$1175,$ and currently sell at a price of $$1322\mathrm{.}89.$

a$.$ What is the nominal yield to maturity $($YTM$)?$

b$.$ What is the nominal yield to call $($YTC$)?$

c$.$ Should investors expect to earn YTM or YTC$?$