Blue Moose Home Builders Inc. has $9\%$ annual coupon bonds that are callable and have $18$ years left until maturity. The bonds have a par value of $$1,000,$ and their current market price is $$980\mathrm{.}35.$ However, Blue Moose Home Builders Inc. may call the bonds in eight years at a call price of $$1,060.$

Blue Moose Home Builders Inc.$$s bonds have a yield$-$to$-$maturity $($YTM$)$ of and a yield$-$to$-$call $($YTC$)$ of $.$

If interest rates are expected to remain constant, what is the best estimate of the remaining life left for Blue Moose Home Builders Inc.$$s bonds?

$5$ years

$18$ years

$10$ years

$13$ years

If Blue Moose Home Builders Inc. issued new bonds today, what coupon rate must the bonds have to be issued at par?