A callable bond has a $10\%$ coupon rate, a maturity of $15$ years, and a par value of $$1,000.$ Its

current market price is $$832.$ The coupon is paid semiannually. The bond's first call is $5$ years

from now for $$1,100.$ What is the yield to the first call?

$12\mathrm{.}78\%$

$16\mathrm{.}42\%$

$8\mathrm{.}32\%$

$12\mathrm{.}82\%$