Wingler Inc.$\text{'}$s outstanding bonds have a $$1,000$ par value, and they mature in $15$ years. Their nominal annual yield to maturity is $8\mathrm{.}0\%,$ they pay interest semiannually, and they sell at a price of $$827\mathrm{.}50.$ What is the bond's nominal coupon rate?

a$.3\mathrm{.}00\%$

b$.4\mathrm{.}20\%$

c$.5\mathrm{.}45\%$

d$.6\mathrm{.}00\%$

e$.8\mathrm{.}28\%$