Swap (finance)
Encyclopedia
In finance, a swap is a derivative
Derivative (finance)
A derivative instrument is a contract between two parties that specifies conditions—in particular, dates and the resulting values of the underlying variables—under which payments, or payoffs, are to be made between the parties.Under U.S...

 in which counterparties
Counterparty
A counterparty is a legal and financial term. It means a party to a contract. A counterparty is usually the entity with whom one negotiates on a given agreement, and the term can refer to either party or both, depending on context....

 exchange
Trade
Trade is the transfer of ownership of goods and services from one person or entity to another. Trade is sometimes loosely called commerce or financial transaction or barter. A network that allows trade is called a market. The original form of trade was barter, the direct exchange of goods and...

 certain benefits of one party's financial instrument for those of the other party's financial instrument. The benefits in question depend on the type of financial instruments involved. For example, in the case of a swap involving two bonds
Bond (finance)
In finance, a bond is a debt security, in which the authorized issuer owes the holders a debt and, depending on the terms of the bond, is obliged to pay interest to use and/or to repay the principal at a later date, termed maturity...

, the benefits in question can be the periodic interest (or coupon) payments associated with the bonds. Specifically, the two counterparties agree to exchange one stream of cash flows against another stream. These streams are called the legs of the swap. The swap agreement defines the dates when the cash flows are to be paid and the way they are calculated. Usually at the time when the contract is initiated at least one of these series of cash flows is determined by a random or uncertain variable such as an interest rate, foreign exchange rate, equity price or commodity price.

The cash flows are calculated over a notional principal amount, which is usually not exchanged between counterparties. Consequently, swaps can be in cash or collateral
Collateral (finance)
In lending agreements, collateral is a borrower's pledge of specific property to a lender, to secure repayment of a loan.The collateral serves as protection for a lender against a borrower's default - that is, any borrower failing to pay the principal and interest under the terms of a loan obligation...

.

Swaps can be used to hedge
Hedge (finance)
A hedge is an investment position intended to offset potential losses that may be incurred by a companion investment.A hedge can be constructed from many types of financial instruments, including stocks, exchange-traded funds, insurance, forward contracts, swaps, options, many types of...

 certain risks such as interest rate risk
Interest rate risk
Interest rate risk is the risk borne by an interest-bearing asset, such as a loan or a bond, due to variability of interest rates. In general, as rates rise, the price of a fixed rate bond will fall, and vice versa...

, or to speculate
Speculation
In finance, speculation is a financial action that does not promise safety of the initial investment along with the return on the principal sum...

 on changes in the expected direction of underlying prices.

Swaps were first introduced to the public in 1981 when IBM
IBM
International Business Machines Corporation or IBM is an American multinational technology and consulting corporation headquartered in Armonk, New York, United States. IBM manufactures and sells computer hardware and software, and it offers infrastructure, hosting and consulting services in areas...

 and the World Bank
World Bank
The World Bank is an international financial institution that provides loans to developing countries for capital programmes.The World Bank's official goal is the reduction of poverty...

 entered into a swap agreement. Today, swaps are among the most heavily traded financial contracts in the world: the total amount of interest rates and currency swaps outstanding is more thаn $426.7 trillion in 2009, according to International Swaps and Derivatives Association
International Swaps and Derivatives Association
The International Swaps and Derivatives Association is a trade organization of participants in the market for over-the-counter derivatives....

 (ISDA).

Swap market

Most swaps are traded over-the-counter (OTC), "tailor-made" for the counterparties. Some types of swaps are also exchanged on futures markets such as the Chicago Mercantile Exchange Holdings Inc., the largest U.S. futures market, the Chicago Board Options Exchange, IntercontinentalExchange and Frankfurt-based Eurex AG.

The Bank for International Settlements
Bank for International Settlements
The Bank for International Settlements is an intergovernmental organization of central banks which "fosters international monetary and financial cooperation and serves as a bank for central banks." It is not accountable to any national government...

 (BIS) publishes statistics on the notional amount
Notional amount
The notional amount on a financial instrument is the nominal or face amount that is used to calculate payments made on that instrument...

s outstanding in the OTC derivatives market
Derivatives market
The derivatives market is the financial market for derivatives, financial instruments like futures contracts or options, which are derived from other forms of assets....

. At the end of 2006, this was USD 415.2 trillion, more than 8.5 times the 2006 gross world product. However, since the cash flow
Cash flow
Cash flow is the movement of money into or out of a business, project, or financial product. It is usually measured during a specified, finite period of time. Measurement of cash flow can be used for calculating other parameters that give information on a company's value and situation.Cash flow...

 generated by a swap is equal to an interest rate times that notional amount, the cash flow generated from swaps is a substantial fraction of but much less than the gross world product—which is also a cash-flow measure. The majority of this (USD 292.0 trillion) was due to interest rate swap
Interest rate swap
An interest rate swap is a popular and highly liquid financial derivative instrument in which two parties agree to exchange interest rate cash flows, based on a specified notional amount from a fixed rate to a floating rate or from one floating rate to another...

s. These split by currency as:

>
Notional outstanding
in USD trillion
Currency End 2000 End 2001 End 2002 End 2003 End 2004 End 2005 End 2006
Euro
Euro
The euro is the official currency of the eurozone: 17 of the 27 member states of the European Union. It is also the currency used by the Institutions of the European Union. The eurozone consists of Austria, Belgium, Cyprus, Estonia, Finland, France, Germany, Greece, Ireland, Italy, Luxembourg,...

 
16.6 20.9 31.5 44.7 59.3 81.4 112.1
US dollar
United States dollar
The United States dollar , also referred to as the American dollar, is the official currency of the United States of America. It is divided into 100 smaller units called cents or pennies....

 
13.0 18.9 23.7 33.4 44.8 74.4 97.6
Japanese yen  11.1 10.1 12.8 17.4 21.5 25.6 38.0
Pound sterling
Pound sterling
The pound sterling , commonly called the pound, is the official currency of the United Kingdom, its Crown Dependencies and the British Overseas Territories of South Georgia and the South Sandwich Islands, British Antarctic Territory and Tristan da Cunha. It is subdivided into 100 pence...

 
4.0 5.0 6.2 7.9 11.6 15.1 22.3
Swiss franc
Swiss franc
The franc is the currency and legal tender of Switzerland and Liechtenstein; it is also legal tender in the Italian exclave Campione d'Italia. Although not formally legal tender in the German exclave Büsingen , it is in wide daily use there...

 
1.1 1.2 1.5 2.0 2.7 3.3 3.5
Total 48.8 58.9 79.2 111.2 147.4 212.0 292.0

Source: "The Global OTC Derivatives Market at end-December 2004", BIS, http://www.bis.org/publ/otc_hy0505.htm, "OTC Derivatives Market Activity in the Second Half of 2006", BIS, http://www.bis.org/publ/otc_hy0705.pdf

Usually, at least one of the legs has a rate that is variable. It can depend on a reference rate, the total return of a swap, an economic statistic, etc. The most important criterion is that it comes from an independent third party, to avoid any conflict of interest
Conflict of interest
A conflict of interest occurs when an individual or organization is involved in multiple interests, one of which could possibly corrupt the motivation for an act in the other....

. For instance, LIBOR is published by the British Bankers Association, an independent trade body.

Types of swaps

The five generic types of swaps, in order of their quantitative importance, are: interest rate swap
Interest rate swap
An interest rate swap is a popular and highly liquid financial derivative instrument in which two parties agree to exchange interest rate cash flows, based on a specified notional amount from a fixed rate to a floating rate or from one floating rate to another...

s, currency swaps, credit swaps, commodity swap
Commodity swap
A commodity swap is an agreement where by a floating price based on an underlying commodity is exchanged for a fixed price over a specified period.A Commodity swap is similar to a Fixed-Floating Interest rate swap...

s and equity swap
Equity swap
An equity swap is a financial derivative contract where a set of future cash flows are agreed to be exchanged between two counterparties at set dates in the future. The two cash flows are usually referred to as "legs" of the swap; one of these "legs" is usually pegged to a floating rate such as...

s. There are also many other types.

Interest rate swaps

The most common type of swap is a “plain Vanilla” interest rate swap. It is the exchange of a fixed rate loan to a floating rate loan. The life of the swap can range from 2 years to over 15 years.
The reason for this exchange is to take benefit from comparative advantage
Comparative advantage
In economics, the law of comparative advantage says that two countries will both gain from trade if, in the absence of trade, they have different relative costs for producing the same goods...

. Some companies may have comparative advantage in fixed rate markets while other companies have a comparative advantage in floating rate markets. When companies want to borrow they look for cheap borrowing i.e. from the market where they have comparative advantage. However this may lead to a company borrowing fixed when it wants floating or borrowing floating when it wants fixed. This is where a swap comes in. A swap has the effect of transforming a fixed rate loan into a floating rate loan or vice versa.
For example, party B makes periodic interest payments to party A based on a variable interest rate of LIBOR +70 basis point
Basis point
A basis point is a unit equal to 1/100 of a percentage point or one part per ten thousand...

s. Party A in return makes periodic interest payments based on a fixed rate of 8.65%. The payments are calculated over the notional amount. The first rate is called variable, because it is reset at the beginning of each interest calculation period to the then current reference rate
Reference rate
A reference rate is a rate that determines pay-offs in a financial contract and that is outside the control of the parties to the contract. It is often some form of LIBOR rate, but it can take many forms, such as a consumer price index, a house price index or an unemployment rate...

, such as LIBOR. In reality, the actual rate received by A and B is slightly lower due to a bank taking a spread.

Currency swaps

A currency swap involves exchanging principal and fixed rate interest payments on a loan in one currency for principal and fixed rate interest payments on an equal loan in another currency.
Just like interest rate swaps, the currency swaps also are motivated by comparative advantage
Comparative advantage
In economics, the law of comparative advantage says that two countries will both gain from trade if, in the absence of trade, they have different relative costs for producing the same goods...

.
Currency swaps entail swapping both principal and interest between the parties, with the cashflows in one direction
being in a different currency than those in the opposite direction.

Commodity swaps

A commodity swap is an agreement whereby a floating (or market or spot) price is exchanged for a fixed price over a specified period. The vast majority of commodity swaps involve crude oil.

Equity Swap

An equity swap is a special type of total return swap, where the underlying asset is a stock, a basket of stocks, or a stock index. Compared to actually owning the stock, in this case you do not have to pay anything up front, but you do not have any voting or other rights that stock holders do.

Credit default swaps

A credit default swap (CDS) is a swap contract in which the buyer of the CDS makes a series of payments to the seller and, in exchange, receives a payoff if a instrument - typically a bond
Bond (finance)
In finance, a bond is a debt security, in which the authorized issuer owes the holders a debt and, depending on the terms of the bond, is obliged to pay interest to use and/or to repay the principal at a later date, termed maturity...

 or loan
Loan
A loan is a type of debt. Like all debt instruments, a loan entails the redistribution of financial assets over time, between the lender and the borrower....

 - goes into default
Default (finance)
In finance, default occurs when a debtor has not met his or her legal obligations according to the debt contract, e.g. has not made a scheduled payment, or has violated a loan covenant of the debt contract. A default is the failure to pay back a loan. Default may occur if the debtor is either...

 (fails to pay). Less commonly, the credit event
Credit event
A credit event is the financial term used to describe either:* A general default event related to a legal entity's previously agreed financial obligation. In this case, a legal entity fails to meet its obligation on any significant financial transaction...

 that triggers the payoff can be a company undergoing restructuring
Restructuring
Restructuring is the corporate management term for the act of reorganizing the legal, ownership, operational, or other structures of a company for the purpose of making it more profitable, or better organized for its present needs...

, bankruptcy
Bankruptcy
Bankruptcy is a legal status of an insolvent person or an organisation, that is, one that cannot repay the debts owed to creditors. In most jurisdictions bankruptcy is imposed by a court order, often initiated by the debtor....

 or even just having its credit rating downgraded. CDS contracts have been compared with insurance
Insurance
In law and economics, insurance is a form of risk management primarily used to hedge against the risk of a contingent, uncertain loss. Insurance is defined as the equitable transfer of the risk of a loss, from one entity to another, in exchange for payment. An insurer is a company selling the...

, because the buyer
Buyer
When someone gets characterised by their role as buyer of certain assets, the term "buyer" gets new meaning:A "buyer" or merchandiser is a person who purchases finished goods, typically for resale, for a firm, government, or organization...

 pays a premium
Premium
Premium may refer to:* Premium , a promotional item that can be received for a small fee when redeeming proofs of purchase that come with or on retail products....

 and, in return, receives a sum of money
Money
Money is any object or record that is generally accepted as payment for goods and services and repayment of debts in a given country or socio-economic context. The main functions of money are distinguished as: a medium of exchange; a unit of account; a store of value; and, occasionally in the past,...

 if one of the events specified in the contract occur. Unlike an actual insurance contract the buyer is allowed to profit from the contract and may also cover an asset to which the buyer has no direct exposure.

Other variations

There are myriad different variations on the vanilla swap structure, which are limited only by the imagination of financial engineers and the desire of corporate treasurers and fund managers for exotic structures.
  • A total return swap
    Total return swap
    Total return swap, or TRS , or total rate of return swap, or TRORS, is a financial contract that transfers both the credit risk and market risk of an underlying asset.- Contract definition :...

    is a swap in which party A pays the total return of an asset
    Asset
    In financial accounting, assets are economic resources. Anything tangible or intangible that is capable of being owned or controlled to produce value and that is held to have positive economic value is considered an asset...

    , and party B makes periodic interest payments. The total return is the capital gain or loss, plus any interest or dividend payments. Note that if the total return is negative, then party A receives this amount from party B. The parties have exposure to the return of the underlying stock or index, without having to hold the underlying
    Underlying
    In finance, the underlying of a derivative is an asset, basket of assets, index, or even another derivative, such that the cash flows of the derivative depend on the value of this underlying...

     assets. The profit or loss of party B is the same for him as actually owning the underlying asset.
  • An option
    Option (finance)
    In finance, an option is a derivative financial instrument that specifies a contract between two parties for a future transaction on an asset at a reference price. The buyer of the option gains the right, but not the obligation, to engage in that transaction, while the seller incurs the...

     on a swap is called a swaption
    Swaption
    A swaption is an option granting its owner the right but not the obligation to enter into an underlying swap. Although options can be traded on a variety of swaps, the term "swaption" typically refers to options on interest rate swaps....

    . These provide one party with the right but not the obligation at a future time to enter into a swap.
  • A variance swap
    Variance swap
    A variance swap is an over-the-counter financial derivative that allows one to speculate on or hedge risks associated with the magnitude of movement, i.e. volatility, of some underlying product, like an exchange rate, interest rate, or stock index....

    is an over-the-counter instrument that allows one to speculate on or hedge risks associated with the magnitude of movement, a CMS, is a swap that allows the purchaser to fix the duration
    Bond duration
    In finance, the duration of a financial asset that consists of fixed cash flows, for example a bond, is the weighted average of the times until those fixed cash flows are received....

     of received flows on a swap.
  • An Amortising swap
    Amortising swap
    Amortising swap is usually an interest rate swap in which the notional principal for the interest payments declines during the life of the swap, perhaps at a rate tied to the prepayment of a mortgage or to an interest rate benchmark such as the London Interbank Offered Rate...

    is usually an interest rate swap
    Interest rate swap
    An interest rate swap is a popular and highly liquid financial derivative instrument in which two parties agree to exchange interest rate cash flows, based on a specified notional amount from a fixed rate to a floating rate or from one floating rate to another...

     in which the notional principal for the interest payments declines during the life of the swap, perhaps at a rate tied to the prepayment of a mortgage or to an interest rate benchmark such as the LIBOR. It is suitable to those customers of banks who want to manage the interest rate risk involved in predicted funding requirement, or investment programs.
  • A Zero coupon swap is of use to those entities which have their liabilities denominated in floating rates but at the same time would like to conserve cash for operational purposes.
  • A Deferred rate swap is particularly attractive to those users of funds that need funds immediately but do not consider the current rates of interest very attractive and feel that the rates may fall in future.
  • An Accreting swap is used by banks which have agreed to lend increasing sums over time to its customers so that they may fund projects.
  • A Forward swap is an agreement created through the synthesis of two swaps differing in duration for the purpose of fulfilling the specific time-frame needs of an investor. Also referred to as a forward start swap, delayed start swap, and a deferred start swap.

Valuation

The value of a swap is the net present value
Net present value
In finance, the net present value or net present worth of a time series of cash flows, both incoming and outgoing, is defined as the sum of the present values of the individual cash flows of the same entity...

 (NPV) of all estimated future cash flows. A swap is worth zero when it is first initiated, however after this time its value may become positive or negative. There are two ways to value swaps: in terms of bond
Bond (finance)
In finance, a bond is a debt security, in which the authorized issuer owes the holders a debt and, depending on the terms of the bond, is obliged to pay interest to use and/or to repay the principal at a later date, termed maturity...

 prices, or as a portfolio of forward contract
Forward contract
In finance, a forward contract or simply a forward is a non-standardized contract between two parties to buy or sell an asset at a specified future time at a price agreed today. This is in contrast to a spot contract, which is an agreement to buy or sell an asset today. It costs nothing to enter a...

s.

Using bond prices

While principal payments are not exchanged in an interest rate swap, assuming that these are received and paid at the end of the swap does not change its value. Thus, from the point of view of the floating-rate payer, a swap is equivalent to a long position in a fixed-rate bond (i.e. receiving fixed interest payments), and a short position in a floating rate note
Floating rate note
Floating rate notes are bonds that have a variable coupon, equal to a money market reference rate, like LIBOR or federal funds rate, plus a spread. The spread is a rate that remains constant. Almost all FRNs have quarterly coupons, i.e. they pay out interest every three months, though counter...

 (i.e. making floating interest payments):


From the point of view of the fixed-rate payer, the swap can be viewed as having the opposite positions. That is,


Similarly, currency swaps can be regarded as having positions in bonds whose cash flows correspond to those in the swap. Thus, the home currency value is:
, where is the domestic cash flows of the swap, is the foreign cash flows of the LIBOR is the rate of interest offered by banks on deposit from other banks in the eurocurrency
Eurocurrency
Eurocurrency is the term used to describe deposits residing in banks that are located outside the borders of the country that issues the currency the deposit is denominated in...

 market. One-month LIBOR is the rate offered for 1-month deposits, 3-month LIBOR for three months deposits, etc.
LIBOR rates are determined by trading between banks and change continuously as economic conditions change. Just like the prime rate of interest quoted in the domestic market, LIBOR is a reference rate of interest in the international market.

Arbitrage arguments

As mentioned, to be arbitrage free, the terms of a swap contract are such that, initially, the NPV of these future cash flows is equal to zero. Where this is not the case, arbitrage would be possible.

For example, consider a plain vanilla fixed-to-floating interest rate swap where Party A pays a fixed rate, and Party B pays a floating rate. In such an agreement the fixed rate would be such that the present value of future fixed rate payments by Party A are equal to the present value of the expected future floating rate payments (i.e. the NPV is zero). Where this is not the case, an Arbitrage
Arbitrage
In economics and finance, arbitrage is the practice of taking advantage of a price difference between two or more markets: striking a combination of matching deals that capitalize upon the imbalance, the profit being the difference between the market prices...

ur, C, could:
  1. assume the position with the lower present value of payments, and borrow funds equal to this present value
  2. meet the cash flow obligations on the position by using the borrowed funds, and receive the corresponding payments - which have a higher present value
  3. use the received payments to repay the debt on the borrowed funds
  4. pocket the difference - where the difference between the present value of the loan and the present value of the inflows is the arbitrage profit. This section requires additional example


Subsequently, once traded, the price of the Swap must equate to the price of the various corresponding instruments as mentioned above. Where this is not true, an arbitrageur could similarly short sell the overpriced instrument, and use the proceeds to purchase the correctly priced instrument, pocket the difference, and then use payments generated to service the instrument which he is short.

See also

  • Constant maturity swap
    Constant maturity swap
    A constant maturity swap, also known as a CMS, is a swap that allows the purchaser to fix the duration of received flows on a swap.The floating leg of an interest rate swap typically resets against a published index...

  • Credit default swap
    Credit default swap
    A credit default swap is similar to a traditional insurance policy, in as much as it obliges the seller of the CDS to compensate the buyer in the event of loan default...

  • Cross currency swap
    Currency swap
    A currency swap is a foreign-exchange agreement between two parties to exchange aspects of a loan in one currency for equivalent aspects of an equal in net present value loan in another currency; see foreign exchange derivative. Currency swaps are motivated by comparative advantage...

  • Equity swap
    Equity swap
    An equity swap is a financial derivative contract where a set of future cash flows are agreed to be exchanged between two counterparties at set dates in the future. The two cash flows are usually referred to as "legs" of the swap; one of these "legs" is usually pegged to a floating rate such as...

  • Foreign exchange swap
    Forex swap
    In finance, a forex swap is a simultaneous purchase and sale of identical amounts of one currency for another with two different value dates .; see Foreign exchange derivative.-Structure:...

  • Fuel price risk management
    Fuel price risk management
    A specialization of both financial risk management and oil price analysis – and similar to conventional risk management practice – fuel price risk management is a continual cyclic process that includes risk assessment, risk decision making, and the implementation of risk controls...

  • Interest rate swap
    Interest rate swap
    An interest rate swap is a popular and highly liquid financial derivative instrument in which two parties agree to exchange interest rate cash flows, based on a specified notional amount from a fixed rate to a floating rate or from one floating rate to another...

  • PnL Explained
    PnL Explained
    PnL Explained also called P&L Explain, P&L Attribution or Profit and Loss Explained is a type of report commonly used by traders, especially derivatives traders, that attributes or explains the daily fluctuation in the value of a portfolio of trades to the root causes of the changes.P&L is the...

  • Total return swap
    Total return swap
    Total return swap, or TRS , or total rate of return swap, or TRORS, is a financial contract that transfers both the credit risk and market risk of an underlying asset.- Contract definition :...

  • Variance swap
    Variance swap
    A variance swap is an over-the-counter financial derivative that allows one to speculate on or hedge risks associated with the magnitude of movement, i.e. volatility, of some underlying product, like an exchange rate, interest rate, or stock index....

  • Yield curve
    Yield curve
    In finance, the yield curve is the relation between the interest rate and the time to maturity, known as the "term", of the debt for a given borrower in a given currency. For example, the U.S. dollar interest rates paid on U.S...


External links

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