Blue Pencil Publishing has $9\%$ annual coupon bonds that are callable and have $18$ years left until maturity. The bonds have a par value of $$1,000,$ and their current market price is $$950\mathrm{.}35.$ However, Blue Pencil Publishing may call the bonds in eight years at a call price of $$1,060.$

$1)$ Blue Pencil Publishing$$s bonds have a yield$-$to$-$maturity $($YTM$)$ of $\_?\_\_$ and a yield$-$to$-$call $($YTC$)$ of $\_\_\_?\_\_$

$2)$ If interest rates are expected to remain constant, what is the best estimate of the remaining life left for Blue Pencil Publishing$$s bonds?

$8$ years

$13$ years

$5$ years

$18$ years

$3)$ If Blue Pencil Publishing issued new bonds today, what coupon rate must the bonds have to be issued at par?