The Jacksons have agreed to pay $$1,419$ at the end of every month for $15$ years on their mortgage loan of $$167,000.$ What semiannually compounded nominal rate are they paying?

Multiple Choice

$5\mathrm{.}09\%$

$7\mathrm{.}23\%$

$8\mathrm{.}11\%$

$7\mathrm{.}29\%$

$6\mathrm{.}19\%$