Company $x$ and Company $Y$ enter into an interest rate swap contract to swap fixed for floating interest rates for a notional amount of $$500,000.$ The term of the interest rate swap is two years and the interest payments will be swapped every six months. The fixed rate on the swap is $4\mathrm{.}75\%,$ while the floating rates on the swap are as follows:

$\backslash$table$[[6-$Month LIBOR,$],[$Now$,4\mathrm{.}50\%$