GHI Co$$s $12-$year bonds currently sell for $$1,224$ and have a par value of $$1,000.$ The coupon rate is $7\mathrm{.}77\%$ and interest payments are made semi$-$annually. The bonds can be called $6$ years after issue at a premium of $4\%$ over par value. What is their yield to call $($YTC$),3$ years after the initial issue?

$1\mathrm{.}4069\%$

$5\mathrm{.}0053\%$

$0\mathrm{.}2682\%$

$6\mathrm{.}2557\%$

$1\mathrm{.}4257\%$