Companies X and Y have been offered the following rates per...

Companies $X$ and $Y$ have been offered the following rates per annum on a $$\$ 5$$ million 10-year investment: $$ \begin{array}{lcc} \hline & \text { Fixed rate } & \text { Floating rate } \\ \hline \text { Company X } & 8.0 \% & \text { LIBOR } \\ \text { Company Y } & 8.8 \% & \text { LIBOR } \\ \hline \end{array} $$ Company $\mathrm{X}$ requires a fixed-rate investment; company $\mathrm{Y}$ requires a floating-rate investment. Design a swap that will net a bank, acting as intermediary, $0.2 \%$ per annum and will appear equally attractive to $\mathrm{X}$ and $\mathrm{Y}$.

Companies $X$ and $Y$ have been offered the following rates per annum on a $$\$ 5$$ million 10-year investment:
$$
\begin{array}{lcc}
\hline & \text { Fixed rate } & \text { Floating rate } \\
\hline \text { Company X } & 8.0 \% & \text { LIBOR } \\
\text { Company Y } & 8.8 \% & \text { LIBOR } \\
\hline
\end{array}
$$
Company $\mathrm{X}$ requires a fixed-rate investment; company $\mathrm{Y}$ requires a floating-rate investment. Design a swap that will net a bank, acting as intermediary, $0.2 \%$ per annum and will appear equally attractive to $\mathrm{X}$ and $\mathrm{Y}$.

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Key Concepts

Interest Rate Swap

An interest rate swap is a financial derivative contract in which two parties agree to exchange interest payments on a notional principal amount over a specified period. Typically, one party pays a fixed rate while the other pays a floating rate, allowing both parties to manage their exposure to fluctuations in interest rates.

Comparative Advantage in Borrowing

Comparative advantage in borrowing refers to the relative cost differences between parties when borrowing at fixed or floating interest rates. By identifying which party can borrow more cheaply in either market, parties can structure swaps that enable both to achieve lower effective borrowing costs.

Role of an Intermediary

An intermediary, such as a bank, facilitates the swap by structuring the deal in a way that benefits all parties involved. The intermediary ensures that both the fixed-rate and floating-rate needs are met while also earning a fee or margin from the transaction.

Swap Design and Net Benefit Analysis

Designing a swap involves determining the appropriate exchange of interest rate payments so that each counterparty’s financing needs are met at a lower cost than directly borrowing. The structure must account for the net benefits after considering market spreads and any fees or margins, ensuring that the swap is attractive to all participants.

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