Suppose Intel wishes to raise USD$1$ billion and is deciding between a domestic dollar bond issue and a Eurobond issue. The U$.$S$.$ bond can be issued at a $5-$year maturity with a coupon of $4\mathrm{.}50\%,$ paid semiannually. The underwriting, registration, and other fees total $1\mathrm{.}00\%$ of the issue size. The Eurobond carries a lower annual coupon of $4\mathrm{.}25\%,$ but the total costs of issuing the bond runs to $1\mathrm{.}25\%$ of the issue size. Which loan has the lowest all$-$in cost$?$