$(10)$ Suppose a $10-$year, $10\%,$ semiannual coupon bond with a par value of $$1,000$ is currently selling for $$1,135\mathrm{.}90,$ producing a nominal yield to maturity of $8\%.$ However, it can be called after $4$ years for $$1,050.(1)$ What is the bond$$s nominal yield to call $($YTC$)?(2)$ If you bought this bond, would you be more likely to earn the YTM or the YTC$?$