To help finance a major expansion, Castro Chemical Company sold a noncallable bond several years ago that now has $20$ years to maturity. This bond has a $9\mathrm{.}25\%$ annual coupon, paid semiannually, sells at a price of $$1,075,$ and has a par value of $$1,000.$ If the firm's tax rate is $40\%,$ what is the component cost of debt for use in the WACC calculation?

a$.4\mathrm{.}35\%$

b$.4\mathrm{.}58\%$

c$.4\mathrm{.}83\%$

$($d$.)5\mathrm{.}08\%$

e$.5\mathrm{.}33\%$