Last year Carson Industries issued a $10-$year, $13\%$ semiannual coupon bond at its par value of $$1,000.$ Currently, the bond can be calle in $6$ years at a price of $$1,065$ and it sells for $$1,230.$

a$.$ What are the bond's nominal yield to maturity and its nominal yield to call? Do not round intermediate calculations. Round your answers to two decimal places.

YTM: $\%$

YTC: $\%$

Would an investor be more likely to earn the YTM or the YTC$?q,$

b$.$ What is the current yield? $($Hint: Refer to Footnote $6$ for the definition of the current yield and to Table $7\mathrm{.}1)$ Round your answer to two decimal places.

$9\mathrm{.}23$

$\%$