Swap
A swap is an over-the-counter derivative contract in which two counterparties agree to exchange a series of cash flows based on a specified notional principal amount over a defined period. The most common form is the interest rate swap, where one party pays a fixed interest rate and receives a floating rate, or vice versa, but swaps exist across interest rates, currencies, commodities, equities, and credit.
Key takeaways
- Swaps are bilateral contracts executed in the OTC market, though post-Dodd-Frank regulations have mandated central clearing for standardized swap types through central counterparties (CCPs).
- The notional principal in a swap is not exchanged; it serves only as the reference amount on which cash flows are calculated.
- Interest rate swaps (IRS) are the most liquid derivative instrument globally, with daily trading volumes exceeding $3 trillion, and are used to convert between fixed and floating rate exposures.
- Swaps generate counterparty credit risk that is managed through ISDA Master Agreements, credit support annexes (CSAs), and initial and variation margin requirements.
- The present value of a swap is the net present value of its remaining cash flows, calculated by discounting each payment at the appropriate zero-coupon rate for that maturity.
Explanation
Swaps are the building blocks of the global interest rate and fixed income markets, enabling corporations, financial institutions, and governments to efficiently transform the nature of their financial obligations and investments without restructuring underlying balance sheet items. The swap market originated in the early 1980s with the first documented interest rate swap between the World Bank and IBM Corporation in 1981, arranged by Salomon Brothers. From those origins, the market has grown into the largest single segment of the global derivatives market, with outstanding notional estimated at over $500 trillion by the Bank for International Settlements.
An interest rate swap in its simplest form—the 'vanilla' or 'plain vanilla' swap—involves party A paying a fixed coupon rate on notional N to party B for T years, while party B pays LIBOR (now transitioning to SOFR in the United States) or another floating reference rate on the same notional for the same term. Cash flows are netted on each payment date (typically semi-annual for the fixed leg and quarterly for the floating leg in USD swaps), with only the net difference exchanged. The fixed rate in a new par swap is set so that the present value of fixed and floating legs are equal at inception, resulting in zero initial market value.
The economic motivation for swaps is comparative advantage in borrowing. A AAA-rated corporation may be able to borrow at favorable fixed rates in the bond market but prefer floating-rate debt to match floating-rate revenues. A bank may have natural floating-rate funding (deposits) but wish to lend at fixed rates. A swap allows both parties to achieve their preferred interest rate structure while accessing the market where they have the comparative advantage. This logic underpins the explosive growth of the swap market as a mechanism for transmitting the structural differences in borrowing costs across institutions into economically efficient hybrid financing arrangements.
The post-2008 regulatory reform of the swap market was among the most significant regulatory changes in derivatives history. The G20 Pittsburgh Accord of 2009 mandated that standardized OTC derivatives be centrally cleared through CCPs, reported to swap data repositories (SDRs), and (for sufficiently liquid instruments) traded on regulated swap execution facilities (SEFs) or organized trading facilities (OTFs). The rationale was that the bilateral network of OTC swap exposures—where the default of one major dealer could cascade through its counterparties in ways impossible to monitor in real time—had contributed to systemic fragility in 2008. Central clearing mutualized counterparty credit risk through initial and variation margin, reducing the bilateral exposure concentration that characterized the pre-crisis market.
Swap valuation uses the term structure of interest rates. For a fixed-for-floating IRS, the value to the fixed-rate payer is the present value of the expected floating cash flows (calculated using forward rates derived from the yield curve) minus the present value of the fixed cash flows. Both legs are discounted at overnight index swap (OIS) rates in the modern multi-curve framework, reflecting the move to collateralized swap valuation after the Libor-OIS spread blew out during the 2008 financial crisis. For cross-currency swaps, basis spreads (the premium paid to exchange one currency's floating rate for another's) must be incorporated into the pricing, reflecting supply and demand imbalances in cross-currency funding markets.
Formula
Swap Value (fixed-rate payer) = PV(floating leg) − PV(fixed leg)
Example
A US corporation has issued $500 million of floating-rate notes at SOFR + 150 bps for five years. Management believes SOFR rates will rise significantly and wishes to lock in a fixed rate. The company enters a five-year receive-fixed, pay-floating swap with a bank on $500 million notional. The current five-year swap rate is 4.50%. The company receives 4.50% fixed annually (= $22.5 million/year) and pays SOFR + 150 bps quarterly. The net effect is that the company's total interest cost is fixed at 4.50% + 150 bps = 6.00% annually, regardless of where SOFR moves. If SOFR rises to 5% over the next two years, the floating rate note holders are paying SOFR + 150 = 6.50%, but the swap is receiving 4.50% fixed and paying SOFR + 150, netting to 6.50% out and 6.50% in on the floating, offset by 4.50% received fixed—resulting in an effective all-in cost of 6.00% as intended.
Related terms
Balance Sheet Basis Bond Clearing Coupon Rate Credit Risk Default Exchange Financial Crisis Floating Rate Note Futures Contract Index Amortizing Swap