Carter Corporation has some money to invest, and its treasurer is choosing between City of Chicago municipal bonds and U$.$S$.$ Treasury bonds. Both have the same maturity, and they are equally risky and liquid. If Treasury bonds yield $7\mathrm{.}40\%,$ and Carter's marginal income tax rate is $25\mathrm{.}00\%,$ what yield on the Chicago municipal bonds would make Carter's treasurer indifferent between the two?

a$.9\mathrm{.}87\%$

b$.5\mathrm{.}92\%$

c$.9\mathrm{.}25\%$

d$.4\mathrm{.}23\%$

e$.5\mathrm{.}55\%$