Interest Rate Swap

Explained:

fixed-for-floating swap

interest rate swap

swap curve

swap rate

vanilla interest rate swap

A swap is a cash-settled OTC derivative under which two counterparties exchange two streams of cash flows. It is called an interest rate swap if both cash flow streams are in the same currency and are defined as cash flow streams that might be associated with some fixed income obligations.

   

The most popular interest rate swaps are fixed-for-floating swaps under which cash flows of a fixed rate loan are exchanged for those of a floating rate loan. Among these, the most common use a 3-month or 6-month Libor rate (or Euribor, if the currency is the Euro) as their floating rate. These are called vanilla interest rate swaps. There is also a liquid market for floating-floating interest rate swaps—what are known as basis swaps.

To keep things simple (and minimize settlement risk), concurrent cash flows are netted. In a typical arrangement. both loans have an initial payment (loan) of principal, but those net to 0. Both loans have a final return of the same principal, but those also net to 0. Also, the periodic interest payments are generally scheduled to occur on concurrent dates, so they too can be netted. The principal amount is called the notional amount of the swap.

Consider an example. Two banks enter into a vanilla interest rate swap. The term is four years. They agree to swap fixed rate USD payments at 4.6% in exchange for 6-month USD Libor payments. At the outset, the fixed rate payments are known. The first floating rate payment is also known, but the ret will depend on future values of Libor. Exhibit 1 calculates the swap payments under a hypothetical scenario for Libor rates over the life of the swap. These are illustrated graphically in Exhibit 2.

Cash Flows During the Life of a Hypothetical USD 100MM 4.6% Four-Year Swap
Exhibit 1

Time
(years)

6-Month
Libor

Fixed Rate Cash Flows

Floating Rate Cash Flows

Swap
Net Cash Flows

[1]

[2]

[3]

[4]

[3] – [4]

0.0

2.8 %

–100.0

–100.0

0.0

0.5

3.4 %

2.3

1.4

0.9

1.0

4.4 %

2.3

1.7

0.6

1.5

4.2 %

2.3

2.2

0.1

2.0

5.0 %

2.3

2.1

0.2

2.5

5.6 %

2.3

2.5

–0.2

3.0

5.2 %

2.3

2.8

–0.5

3.5

4.4 %

2.3

2.6

–0.3

4.0

3.8 %

102.3

102.2

0.1

Cash flows under a hypothetical four-year vanilla swap. Fixed payments are based on a 4.6% semi-annual rate. Floating payments are based on 6-month Libor. The initial Libor rate is known to be 2.8% at the outset, so the swap's first payment is certain. Subsequent Libor rates are not known at the outset. The last column indicates cash flows to the receive-fixed party. Cash flows to the receive-floating party are the negatives of these. All cash flows are in millions of dollars. Note that the final Libor rate at 4.0 years is not used to calculate any of the swap's cash flows. Note also how all USD 100MM principal payments net to zero.

 

Illustrative Swap Cash Flows
Exhibit 2

Graphical presentation of the results in Exhibit 1. Swap cash flows are indicated as those received by the receive-fixed party.

In addition to being the financial equivalent of an exchange of loans, a vanilla fixed income swap is also mathematically equivalent to a strip of FRA's.

Interest rate swaps are used for many purposes. If a corporation has borrowed money at a floating rate of interest but would prefer to lock in a fixed rate, it can swap its floating rate payments into fixed rate payments. This is illustrated in Exhibit 3.

Swapping Floating Debt into Fixed
Exhibit 3

By entering into a swap with a third party, a corporation can convert floating rate payments into fixed rate payments.

 
   

Interest rate swaps can also be used to speculate on interest rates. A trader who believes that interest rates will rise could incur the expenses of borrowing and then shorting bonds. A simpler and less expensive solution would be to put on a pay-fixed swap.

Vanilla interest rate swaps are quoted in terms of the fixed rate to be paid against the floating index. The fixed rate is usually quoted as an absolute rate, so a quote of 4.3% against 3-month Libor would indicate that the fixed rate would be 4.3% paid quarterly. The floating rate is always "flat"—that is, any spreads are added or subtracted from the fixed rate only. In USD markets, vanilla swaps are often quoted, not as an absolute rate, but as the fixed rate's spread over the corresponding Treasury yield. In the interdealer market, bid-ask spreads on vanilla interest rate swaps are typically one or two basis points.

The fixed rates on vanilla swaps are called swap rates. The swap curve is a yield curve comprising swap rates for different maturities of swap. Due to high liquidity in the USD swap market, the swap curve has emerged as an alternative to Treasuries as a benchmark for USD interest rates at maturities exceeding a year.

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Related Internal Links

basis swap A floating-for-floating interest rate or currency swap.

bond Securitized debt.

convexity bias A bias in Eurodollar futures rates that makes them slightly higher than corresponding forward rates.

corporate bond A bond issued by a corporation.

currency swap A swap for the exchange of cash flow streams in two different currencies.

derivative instrument An instrument that derives value from the value of some commodity, energy, or other financial instrument.

Eurodollar future A cash-settled future on a 3-month Eurodollar deposit.

fixed income term structure Refers collectively to a spot curve, forward curve, discount curve, yield curve or any other curve that describes the time value of money.

floater A fixed income instrument whose coupon fluctuates with some designated reference rate.

forward rate agreement A cash-settled forward contract on a short-term loan.

interest rate cap A derivative instrument which is linked to interest rates.

interest rate spreads Spreads between interest rates.

international bond Any bond issued or invested in across national boarders.

swap An OTC derivative under which two counterparties exchange two cash flow streams.

swaption An option on a swap.

Treasury security US Federal Government debt obligation issued by the Department of Treasury.

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Related Books

Kolb (2002) is a practical introduction to swaps and other derivatives. Fabozzi,  Mann and Choudhry (2002) and Walmsley (2000) discuss interest rate swaps in the context of the money markets. James and Webber (1998) provide a practical financial engineering perspective. For a comprehensive treatment of swap markets, see Das (2003).

Futures, Options and Swaps

Robert Kolb

quality

 

technical  

2002

 

The Global Money Markets

F. Fabozzi, S. Mann and M. Choudhry

quality

 

technical  

2002

 

The Foreign Exchange and Money Markets Guide

Julian Walmsley

quality

 

technical  

2000

 

Interest Rate Modelling

Jessica James and Nick Webber

quality

 

technical  

2000

 

Swaps/Financial Derivatives

Satyajit Das

quality

 

technical  

2003

 

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