Companies A and B have been offered the following rates per annum on a $$\$ 20$$ million five-year loan:
$$
\begin{array}{lcc}
\hline & \text { Fixed rate } & \text { Floating rate } \\
\hline \text { Company A } & 5.0 \% & \text { LIBOR }+0.1 \% \\
\text { Company B } & 6.4 \% & \text { LIBOR }+0.6 \% \\
\hline
\end{array}
$$
Company A requires a floating-rate loan; Company $\mathrm{B}$ requires a fixed-rate loan. Design a swap that will net a bank, acting as intermediary, $0.1 \%$ per annum and that will appear equally attractive to both companies.