Your firm issued floating$-$rate notes indexed to six$-$month SOFR plus $\frac{1}{2}\%.$ What is the amount of the next semi$-$annual coupon payment per U$.$S$.$ $$1,000$ of face value if six$-$month SOFR is currently $4\mathrm{.}25$ percent.

$$23\mathrm{.}75$

$$43\mathrm{.}75$

$$46\mathrm{.}875$

$$47\mathrm{.}50$