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Arbitrage (, ) is the practice of taking advantage of a difference in prices in two or more marketsstriking a combination of matching deals to capitalize on the difference, the profit being the difference between the
market price A price is the (usually not negative) quantity of payment or compensation expected, required, or given by one party to another in return for goods or services. In some situations, especially when the product is a service rather than a phy ...
s at which the unit is
trade Trade involves the transfer of goods and services from one person or entity to another, often in exchange for money. Economists refer to a system or network that allows trade as a market. Traders generally negotiate through a medium of cr ...
d. Arbitrage has the effect of causing prices of the same or very similar assets in different markets to converge. When used by academics in
economics Economics () is a behavioral science that studies the Production (economics), production, distribution (economics), distribution, and Consumption (economics), consumption of goods and services. Economics focuses on the behaviour and interac ...
, an arbitrage is a transaction that involves no negative
cash flow Cash flow, in general, refers to payments made into or out of a business, project, or financial product. It can also refer more specifically to a real or virtual movement of money. *Cash flow, in its narrow sense, is a payment (in a currency), es ...
at any probabilistic or temporal state and a positive cash flow in at least one state; in simple terms, it is the possibility of a risk-free profit after transaction costs. For example, an arbitrage opportunity is present when there is the possibility to instantaneously buy something for a low price and sell it for a higher price. In principle and in academic use, an arbitrage is risk-free; in common use, as in
statistical arbitrage In finance, statistical arbitrage (often abbreviated as Stat Arb or StatArb) is a class of short-term financial trading strategies that employ Mean reversion (finance), mean reversion models involving broadly diversified portfolios of securities (h ...
, it may refer to ''expected'' profit, though losses may occur, and in practice, there are always
risks In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environ ...
in arbitrage, some minor (such as fluctuation of prices decreasing profit margins), some major (such as devaluation of a currency or derivative). In academic use, an arbitrage involves taking advantage of differences in price of a ''single'' asset or ''identical'' cash-flows; in common use, it is also used to refer to differences between ''similar'' assets ( relative value or
convergence trade Convergence trade is a trading strategy consisting of two positions: buying one asset forward—i.e., for delivery in future (going ''long'' the asset)—and selling a similar asset forward (going '' short'' the asset) for a higher price, in the e ...
s), as in
merger arbitrage Risk arbitrage, also known as merger arbitrage, is an investment strategy that speculates on the successful completion of mergers and acquisitions. An investor that employs this strategy is known as an arbitrageur. Risk arbitrage is a type of eve ...
. The term is mainly applied in the financial field. People who engage in arbitrage are called arbitrageurs ().


Etymology

"Arbitrage" is a French word and denotes a decision by an arbitrator or arbitration tribunal (in modern French, "" usually means
referee A referee is an official, in a variety of sports and competition, responsible for enforcing the rules of the sport, including sportsmanship decisions such as ejection. The official tasked with this job may be known by a variety of other title ...
or
umpire An umpire is an official in a variety of sports and competition, responsible for enforcing the rules of the sport, including sportsmanship decisions such as ejection. The term derives from the Old French , , and , : (as evidenced in cricke ...
). It was first defined as a financial term in 1704 by French mathematician
Mathieu de la Porte Mathieu de la Porte (Nijmegen, 17th century - 1722) was a French mathematician. Life De la Porte was the son of a French merchant who had moved to the Netherlands. He moved back to France when he was 18 and recanted the Protestant faith. He ...
in his treatise "" as a consideration of different exchange rates to recognise the most profitable places of issuance and settlement for a bill of exchange (" in modern spelling".)


Arbitrage equilibrium

If the market prices do not allow for profitable arbitrage, the prices are said to constitute an arbitrage equilibrium, or an arbitrage-free market. An arbitrage equilibrium is a precondition for a general economic equilibrium. The '
no-arbitrage assumption In financial mathematics, no-arbitrage bounds are mathematical relationships specifying limits on financial portfolio prices. These price bounds are a specific example of good–deal bounds, and are in fact the greatest extremes for good–deal ...
' is used in
quantitative finance Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field. In general, there exist two separate branches of finance that requ ...
to calculate a unique
risk neutral In economics and finance, risk neutral preferences are preference (economics), preferences that are neither risk aversion, risk averse nor risk seeking. A risk neutral party's decisions are not affected by the degree of uncertainty in a set of out ...
price for derivatives.


Arbitrage-free pricing approach for bonds

Arbitrage-free pricing for bonds is the method of valuing a coupon-bearing financial instrument by discounting its future cash flows by multiple discount rates. By doing so, a more accurate price can be obtained than if the price is calculated with a present-value pricing approach. Arbitrage-free pricing is used for bond valuation and to detect arbitrage opportunities for investors. For the purpose of valuing the price of a bond, its cash flows can each be thought of as packets of incremental cash flows with a large packet upon maturity, being the principal. Since the cash flows are dispersed throughout future periods, they must be discounted back to the present. In the present-value approach, the cash flows are discounted with one discount rate to find the price of the bond. In arbitrage-free pricing, multiple discount rates are used. The present-value approach assumes that the bond yield will stay the same until maturity. This is a simplified model because interest rates may fluctuate in the future, which in turn affects the yield on the bond. For this reason, the discount rate may differ for each cash flow. Each cash flow can be considered a zero-coupon instrument that pays one payment upon maturity. The discount rates used should be the rates of multiple zero-coupon bonds with maturity dates the same as each cash flow and similar risk as the instrument being valued. By using multiple discount rates, the arbitrage-free price is the sum of the discounted cash flows. Arbitrage-free price refers to the price at which no price arbitrage is possible. The idea of using multiple discount rates obtained from zero-coupon bonds and discounting a similar bond's cash flow to find its price is derived from the yield curve, which is a curve of the yields of the same bond with different maturities. This curve can be used to view trends in market expectations of how interest rates will move in the future. In arbitrage-free pricing of a bond, a yield curve of similar zero-coupon bonds with different maturities is created. If the curve were to be created with Treasury securities of different maturities, they would be stripped of their coupon payments through bootstrapping. This is to transform the bonds into zero-coupon bonds. The yield of these zero-coupon bonds would then be plotted on a diagram with time on the ''x''-axis and yield on the ''y''-axis. Since the yield curve displays market expectations on how yields and interest rates may move, the arbitrage-free pricing approach is more realistic than using only one discount rate. Investors can use this approach to value bonds and find price mismatches, resulting in an arbitrage opportunity. If a bond valued with the arbitrage-free pricing approach turns out to be priced higher in the market, an investor could have such an opportunity: #Investor
shorts Shorts are a garment worn over the pelvic area, circling the waist and splitting to cover the upper part of the legs, sometimes extending down to the knees but not covering the entire length of the leg. They are called "shorts" because they ar ...
the bond at price at time t1. #Investor longs the zero-coupon bonds making up the related yield curve and strips and sells any coupon payments at t1. #As t>t1, the price spread between the prices will decrease. #At maturity, the prices will converge and be equal. Investor exits both the long and short positions, realising a profit. If the outcome from the valuation were the reverse case, the opposite positions would be taken in the bonds. This arbitrage opportunity comes from the assumption that the prices of bonds with the same properties will converge upon maturity. This can be explained through market efficiency, which states that arbitrage opportunities will eventually be discovered and corrected. The prices of the bonds in t1 move closer together to finally become the same at tT.


Conditions for arbitrage

Arbitrage may take place when: * the same asset does not trade at the same price on all markets (" the law of one price"). * two assets with identical cash flows do not trade at the same price. * an asset with a known price in the future does not today trade at its future price
discounted In finance, discounting is a mechanism in which a debtor obtains the right to delay payments to a creditor, for a defined period of time, in exchange for a charge or fee.See "Time Value", "Discount", "Discount Yield", "Compound Interest", "Effi ...
at the
risk-free interest rate The risk-free rate of return, usually shortened to the risk-free rate, is the rate of return of a hypothetical investment with scheduled payments over a fixed period of time that is assumed to meet all payment obligations. Since the risk-free r ...
(or the asset has significant costs of storage; so this condition holds true for something like grain but not for
securities A security is a tradable financial asset. The term commonly refers to any form of financial instrument, but its legal definition varies by jurisdiction. In some countries and languages people commonly use the term "security" to refer to any for ...
). Arbitrage is not simply the act of buying a product in one market and selling it in another for a higher price at some later time. The transactions must occur ''simultaneously'' to avoid exposure to market risk, or the risk that prices may change in one market before both transactions are complete. In practical terms, this is generally possible only with securities and financial products that can be traded electronically, and even then, when each leg of the trade is executed, the prices in the market may have moved. Missing one of the legs of the trade (and subsequently having to trade it soon after at a worse price) is an 'execution risk' referred to as 'leg risk'. In the simplest example, any good sold in one market should sell for the same price in another. Traders may, for example, find that the price of wheat is lower in agricultural regions than in cities, purchase the good, and transport it to another region to sell at a higher price. This type of price arbitrage is the most common, but this simple example ignores the cost of transport, storage, risk, and other factors. "True" arbitrage requires that there is no market risk involved. Where securities are traded on more than one exchange, arbitrage occurs by simultaneously buying in one and selling on the other. See
rational pricing Rational pricing is the assumption in financial economics that asset prices – and hence asset pricing models – will reflect the arbitrage-free price of the asset as any deviation from this price will be "arbitraged away". This assu ...
, particularly § arbitrage mechanics, for further discussion. Mathematically it is defined as follows: : P(V_t \geq 0) = 1 \text P(V_t \neq 0) > 0, \,0 where V_0 = 0, V_t denotes the portfolio value at time ''t'' and ''T'' is the time the portfolio ceases to be available on the market. This means that the value of the portfolio is never negative, and guaranteed to be positive at least once over its lifetime. Negative, or anti-, arbitrage is similarly defined as : P(V_t \leq 0) = 1 \text P(V_t \neq 0) > 0, \,0 and occurs naturally in arbitrage relations as the seller view as opposed to the buyer view.


Price convergence

Arbitrage has the effect of causing prices, and thus
purchasing power Purchasing power refers to the amount of products and services available for purchase with a certain currency unit. For example, if you took one unit of cash to a store in the 1950s, you could buy more products than you could now, showing that th ...
, in different markets to converge. As a result of arbitrage, the currency
exchange rate In finance, an exchange rate is the rate at which one currency will be exchanged for another currency. Currencies are most commonly national currencies, but may be sub-national as in the case of Hong Kong or supra-national as in the case of ...
s and the prices of securities and other financial assets in different markets tend to converge. The speed at which they do so is a measure of market efficiency. Arbitrage tends to reduce
price discrimination Price discrimination (differential pricing, equity pricing, preferential pricing, dual pricing, tiered pricing, and surveillance pricing) is a Microeconomics, microeconomic Pricing strategies, pricing strategy where identical or largely similar g ...
by encouraging people to buy an item where the price is low and resell it where the price is high (as long as the buyers are not prohibited from reselling and the transaction costs of buying, holding, and reselling are small, relative to the difference in prices in the different markets). Arbitrage moves different currencies toward
purchasing power parity Purchasing power parity (PPP) is a measure of the price of specific goods in different countries and is used to compare the absolute purchasing power of the countries' currency, currencies. PPP is effectively the ratio of the price of a market bask ...
. Assume that a car purchased in the United States is cheaper than the same car in Canada. Canadians would buy their cars across the border to exploit the arbitrage condition. At the same time, Americans would buy US cars, transport them across the border, then sell them in Canada. Canadians would have to buy American dollars to buy the cars and Americans would have to sell the Canadian dollars they received in exchange. Both actions would increase demand for US dollars and supply of Canadian dollars. As a result, there would be an appreciation of the US currency. This would make US cars more expensive and Canadian cars less so until their prices were similar. On a larger scale, international arbitrage opportunities in commodities, goods,
securities A security is a tradable financial asset. The term commonly refers to any form of financial instrument, but its legal definition varies by jurisdiction. In some countries and languages people commonly use the term "security" to refer to any for ...
, and
currencies A currency is a standardization of money in any form, in use or currency in circulation, circulation as a medium of exchange, for example banknotes and coins. A more general definition is that a currency is a ''system of money'' in common use wi ...
tend to change exchange rates until the purchasing power is equal. In reality, most
asset In financial accounting, an asset is any resource owned or controlled by a business or an economic entity. It is anything (tangible or intangible) that can be used to produce positive economic value. Assets represent value of ownership that can b ...
s exhibit some difference between countries. These,
transaction cost In economics, a transaction cost is a cost incurred when making an economic trade when participating in a market. The idea that transactions form the basis of economic thinking was introduced by the institutional economist John R. Commons in 1 ...
s, taxes, and other costs provide an impediment to this kind of arbitrage. Similarly, arbitrage affects the difference in interest rates paid on government bonds issued by the various countries, given the expected depreciation in the currencies relative to each other (see
interest rate parity Interest rate parity is a no-arbitrage condition representing an equilibrium state under which investors compare interest rates available on bank deposits in two countries. The fact that this condition does not always hold allows for potential op ...
).


Risks

Arbitrage transactions in modern securities markets involve fairly low day-to-day risks, but can face extremely high risk in rare situations, particularly
financial crises A financial crisis is any of a broad variety of situations in which some financial assets suddenly lose a large part of their nominal value. In the 19th and early 20th centuries, many financial crises were associated with Bank run#Systemic banki ...
, and can lead to
bankruptcy Bankruptcy is a legal process through which people or other entities who cannot repay debts to creditors may seek relief from some or all of their debts. In most jurisdictions, bankruptcy is imposed by a court order, often initiated by the deb ...
. Formally, arbitrage transactions have
negative skew In probability theory and statistics, skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. The skewness value can be positive, zero, negative, or undefined. For a unimodal ...
– prices can get a small amount closer (but often no closer than 0), while they can get very far apart. The day-to-day risks are generally small because the transactions involve small differences in price, so an execution failure will generally cause a small loss (unless the trade is very big or the price moves rapidly). The rare case risks are extremely high because these small price differences are converted to large profits via leverage (borrowed money), and in the rare event of a large price move, this may yield a large loss. The principal risk, which is typically encountered on a routine basis, is classified as execution risk. This transpires when an aspect of the financial transaction does not materialize as anticipated. Infrequent, albeit critical, risks encompass counterparty and liquidity risks. The former, counterparty risk, is characterized by the failure of the other participant in a substantial transaction, or a series of transactions, to fulfill their financial obligations. Liquidity risk, conversely, emerges when an entity is necessitated to allocate additional monetary resources as margin, but encounters a deficit in the required capital. In the academic literature, the idea that seemingly very low-risk arbitrage trades might not be fully exploited because of these risk factors and other considerations is often referred to as
limits to arbitrage Limits to arbitrage is a theory in financial economics that, due to restrictions that are placed on funds that would ordinarily be used by rational traders to arbitrage away pricing inefficiencies, prices may remain in a non-equilibrium state for ...
.


Execution risk

Generally, it is impossible to close two or three transactions at the same instant; therefore, there is the possibility that when one part of the deal is closed, a quick shift in prices makes it impossible to close the other at a profitable price. However, this is not necessarily the case. Many exchanges and inter-dealer brokers allow multi legged trades (e.g. basis block trades on LIFFE). Competition in the marketplace can also create risks during arbitrage transactions. As an example, if one was trying to profit from a price discrepancy between IBM on the NYSE and IBM on the London Stock Exchange, they may purchase a large number of shares on the NYSE and find that they cannot simultaneously sell on the LSE. This leaves the arbitrageur in an unhedged risk position. In the 1980s,
risk arbitrage Risk arbitrage, also known as merger arbitrage, is an investment strategy that speculates on the successful completion of mergers and acquisitions. An investor that employs this strategy is known as an arbitrageur. Risk arbitrage is a type of eve ...
was common. In this form of
speculation In finance, speculation is the purchase of an asset (a commodity, good (economics), goods, or real estate) with the hope that it will become more valuable in a brief amount of time. It can also refer to short sales in which the speculator hope ...
, one trades a security that is clearly undervalued or overvalued, when it is seen that the wrong valuation is about to be corrected. The standard example is the stock of a company, undervalued in the stock market, which is about to be the object of a takeover bid; the price of the takeover will more truly reflect the value of the company, giving a large profit to those who bought at the current price, if the merger goes through as predicted. Traditionally, arbitrage transactions in the securities markets involve high speed, high volume, and low risk. At some moment a price difference exists, and the problem is to execute two or three balancing transactions while the difference persists (that is, before the other arbitrageurs act). When the transaction involves a delay of weeks or months, as above, it may entail considerable risk if borrowed money is used to magnify the reward through leverage. One way of reducing this risk is through the illegal use of inside information, and risk arbitrage in
leveraged buyout A leveraged buyout (LBO) is the acquisition of a company using a significant proportion of borrowed money (Leverage (finance), leverage) to fund the acquisition with the remainder of the purchase price funded with private equity. The assets of t ...
s was associated with some of the famous financial scandals of the 1980s, such as those involving
Michael Milken Michael Robert Milken (born July 4, 1946) is an American financier. He is known for his role in the development of the market for High-yield debt, high-yield bonds ("junk bonds"), and his conviction and sentence following a guilty plea on felony ...
and Ivan Boesky.


Mismatch

Another risk occurs if the items being bought and sold are not identical and the arbitrage is conducted under the assumption that the prices of the items are correlated or predictable; this is more narrowly referred to as a
convergence trade Convergence trade is a trading strategy consisting of two positions: buying one asset forward—i.e., for delivery in future (going ''long'' the asset)—and selling a similar asset forward (going '' short'' the asset) for a higher price, in the e ...
. In the extreme case this is merger arbitrage, described below. In comparison to the classical quick arbitrage transaction, such an operation can produce disastrous losses.


Counterparty risk

As arbitrages generally involve ''future'' movements of cash, they are subject to
counterparty risk Credit risk is the chance that a borrower does not repay a loan or fulfill a loan obligation. For lenders the risk includes late or lost interest and principal payment, leading to disrupted cash flows and increased collection costs. The loss ...
: the risk that a counterparty fails to fulfill their side of a transaction. This is a serious problem if one has either a single trade or many related trades with a single counterparty, whose failure thus poses a threat, or in the event of a financial crisis when many counterparties fail. This hazard is serious because of the large quantities one must trade in order to make a profit on small price differences. For example, if one purchases many risky bonds, then hedges them with CDSes, profiting from the difference between the bond spread and the CDS premium, in a financial crisis, the bonds may default ''and'' the CDS writer/seller may fail, due to the stress of the crisis, causing the arbitrageur to face steep losses.


Liquidity risk

Arbitrage trades are necessarily synthetic, ''leveraged'' trades, as they involve a short position. If the assets used are not identical (so a price divergence makes the trade temporarily lose money), or the margin treatment is not identical, and the trader is accordingly required to post
margin Margin may refer to: Physical or graphical edges *Margin (typography), the white space that surrounds the content of a page * Continental margin, the zone of the ocean floor that separates the thin oceanic crust from thick continental crust *Leaf ...
(faces a
margin call ''Margin Call'' is a 2011 American drama film written and directed by J. C. Chandor in his feature directorial debut. The principal story takes place over a 24-hour period at a large Wall Street investment bank during the initial stages of the ...
), the trader may run out of capital (if they run out of cash and cannot borrow more) and be forced to sell these assets at a loss even though the trades may be expected to ultimately make money. In effect, arbitrage traders synthesise a
put option In finance, a put or put option is a derivative instrument in financial markets that gives the holder (i.e. the purchaser of the put option) the right to sell an asset (the ''underlying''), at a specified price (the ''strike''), by (or on) a ...
on their ability to finance themselves. Prices may diverge during a financial crisis, often termed a "
flight to quality A flight-to-quality, or flight-to-safety, is a financial market phenomenon occurring when investors sell what they perceive to be higher-risk investments and purchase safer investments, such as gold and government bonds. This is considered a sign o ...
"; these are precisely the times when it is hardest for leveraged investors to raise capital (due to overall capital constraints), and thus they will lack capital precisely when they need it most.


Gray market

Grey market A grey market or dark market (sometimes confused with the similar term "parallel import, parallel market") is the trade of a commodity through distribution channels that are not authorised by the original manufacturer or trademark proprietor. ...
arbitrage is the sale of goods purchased through informal channels to earn the difference in price.Lu, Y; Foropon, Cyril RH  VIAFID ORCID Logo  ; Wang, D; Xu, S , Journal of Enterprise Information Management; Bradford ,2020 , Arbitrage in gray markets and its impact on supply chain decisions , vol.34 , no.1, pp.382-8. Excessive gray market arbitrage will lead to arbitrage behaviors in formal channels, which will reduce returns due to factors such as price confusion, and may even cause prices to plummet in severe cases.


Types


Spatial arbitrage

Also known as geographical arbitrage, this is the simplest form of arbitrage. In spatial arbitrage, an arbitrageur looks for price differences between geographically separate markets. For example, there may be a bond dealer in Virginia offering a bond at 100-12/23 and a dealer in Washington bidding 100-15/23 for the same bond. For whatever reason, the two dealers have not spotted the difference in the prices, but the arbitrageur does. The arbitrageur immediately buys the bond from the Virginia dealer and sells it to the Washington dealer.


Crypto arbitrage

Also known as interexchange arbitrage, this is the form of arbitrage that takes advantage of the difference between two or more crypto exchanges. For example, on HTX token like LSK could be priced at $1.39 while on Gate it could be sold for $1.5. Although there are some risks involved in that type of arbitrage, such as network and exchange fees,
blockchain The blockchain is a distributed ledger with growing lists of Record (computer science), records (''blocks'') that are securely linked together via Cryptographic hash function, cryptographic hashes. Each block contains a cryptographic hash of th ...
overload, and inability to deposit or withdraw funds, this activity remains one of the most profitable ventures in
crypto Crypto commonly refers to: * Cryptography, the practice and study of hiding information * Cryptocurrency, a type of digital currency based on cryptography Crypto or krypto may also refer to: Cryptography * Cryptanalysis, the study of methods f ...
.


Latency arbitrage

For very short amounts of time, the prices of two assets that are either
fungible In economics and law, fungibility is the property of something whose individual units are considered fundamentally interchangeable with each other. For example, the fungibility of money means that a $100 bill (note) is considered entirely equ ...
or related by a strict pricing relationship may temporarily go out of sync as the
market makers A market maker or liquidity provider is a company or an individual that quotes both a buy and a sell price in a tradable asset held in inventory, hoping to make a profit on the difference, which is called the '' bid–ask spread'' or ''turn.'' Th ...
are slow to update the prices. This momentary mispricing creates the opportunity for an arbitrageur to capture the difference between the two prices. For example, the price of calls and puts on an underlying should be related by put-call parity. If these prices are misquoted relative to the put-call parity relationship, it provides an arbitrageur the opportunity to profit from the mispricing. Latency arbitrage is often mentioned especially in electronic processing in the financial field, where the use of fast server hardware allows an arbitrageur to realize opportunities that may exist for as little as nanoseconds. A study by the
Financial Conduct Authority The Financial Conduct Authority (FCA) is a financial regulatory body in the United Kingdom. It operates independently of the UK Government and is financed by charging fees to members of the financial services industry. The FCA regulates financi ...
of the United Kingdom found that this practice generates as much as $5 billion per year in profit.


Merger arbitrage

Also called
risk arbitrage Risk arbitrage, also known as merger arbitrage, is an investment strategy that speculates on the successful completion of mergers and acquisitions. An investor that employs this strategy is known as an arbitrageur. Risk arbitrage is a type of eve ...
, merger arbitrage generally consists of buying/holding the stock of a company that is the target of a
takeover In business, a takeover is the purchase of one company (the ''target'') by another (the ''acquirer'' or ''bidder''). In the UK, the term refers to the acquisition of a public company whose shares are publicly listed, in contrast to the acquisi ...
while
shorting In finance, being short in an asset means investing in such a way that the investor will profit if the market value of the asset falls. This is the opposite of the more common long position, where the investor will profit if the market value ...
the stock of the acquiring company. Usually, the market price of the target company is less than the price offered by the acquiring company. The spread between these two prices depends mainly on the probability and the timing of the takeover being completed as well as the prevailing level of interest rates. The bet in a merger arbitrage is that such a spread will eventually be zero, if and when the takeover is completed. The risk is that the deal "breaks" and the spread massively widens.


Municipal bond arbitrage

Municipal bond arbitrage Arbitrage (, ) is the practice of taking advantage of a difference in prices in two or more marketsstriking a combination of matching deals to capitalize on the difference, the profit being the difference between the market prices at which the ...
, also called ''municipal bond relative value arbitrage'', ''municipal arbitrage'', or just ''muni arb'', is a
hedge fund A hedge fund is a Pooling (resource management), pooled investment fund that holds Market liquidity, liquid assets and that makes use of complex trader (finance), trading and risk management techniques to aim to improve investment performance and ...
strategy involving one of two approaches. The term "arbitrage" is also used in the context of the Income Tax Regulations governing the investment of proceeds of municipal bonds; these regulations, aimed at the issuers or beneficiaries of tax-exempt municipal bonds, are different and, instead, attempt to remove the issuer's ability to arbitrage between the low tax-exempt rate and a taxable investment rate. Generally, managers seek relative value opportunities by being both long and short municipal bonds with a duration-neutral book. The relative value trades may be between different issuers, different bonds issued by the same entity, or capital structure trades referencing the same asset (in the case of revenue bonds). Managers aim to capture the inefficiencies arising from the heavy participation of non-economic investors (i.e., high income "
buy and hold Buy and hold, also called position trading, is an investment strategy whereby an investor buys financial assets or non-financial assets such as real estate, to hold them long term, with the goal of realizing price appreciation, despite volatili ...
" investors seeking tax-exempt income) as well as the "crossover buying" arising from corporations' or individuals' changing income tax situations (i.e., insurers switching their munis for corporates after a large loss as they can capture a higher after-tax yield by offsetting the taxable corporate income with underwriting losses). There are additional inefficiencies arising from the highly fragmented nature of the municipal bond market which has two million outstanding issues and 50,000 issuers, in contrast to the Treasury market which has 400 issues and a single issuer. Second, managers construct leveraged portfolios of AAA- or AA-rated tax-exempt municipal bonds with the duration risk hedged by
shorting In finance, being short in an asset means investing in such a way that the investor will profit if the market value of the asset falls. This is the opposite of the more common long position, where the investor will profit if the market value ...
the appropriate ratio of taxable corporate bonds. These corporate equivalents are typically
interest rate swap In finance, an interest rate swap (IRS) is an interest rate derivative (IRD). It involves exchange of interest rates between two parties. In particular it is a "linear" IRD and one of the most liquid, benchmark products. It has associations with ...
s referencing
Libor The London Inter-Bank Offered Rate (Libor ) was an interest rate average calculated from estimates submitted by the leading Bank, banks in London. Each bank estimated what it would be charged were it to borrow from other banks. It was the prim ...
or SIFMA. The arbitrage manifests itself in the form of a relatively cheap longer maturity municipal bond, which is a municipal bond that yields significantly more than 65% of a corresponding taxable corporate bond. The steeper slope of the municipal
yield curve In finance, the yield curve is a graph which depicts how the Yield to maturity, yields on debt instruments – such as bonds – vary as a function of their years remaining to Maturity (finance), maturity. Typically, the graph's horizontal ...
allows participants to collect more after-tax income from the municipal bond portfolio than is spent on the interest rate swap; the carry is greater than the hedge expense. Positive, tax-free carry from muni arb can reach into the double digits. The bet in this municipal bond arbitrage is that, over a longer period of time, two similar instruments—municipal bonds and interest rate swaps—will correlate with each other; they are both very high quality credits, have the same maturity and are denominated in the same currency. Credit risk and duration risk are largely eliminated in this strategy. However, basis risk arises from use of an imperfect hedge, which results in significant, but range-bound principal volatility. The end goal is to limit this principal volatility, eliminating its relevance over time as the high, consistent, tax-free cash flow accumulates. Since the inefficiency is related to government tax policy, and hence is structural in nature, it has not been arbitraged away. However, many municipal bonds are callable, and this adds substantial risks to the strategy.


Convertible bond arbitrage

A
convertible bond In finance, a convertible bond, convertible note, or convertible debt (or a convertible debenture if it has a maturity of greater than 10 years) is a type of bond that the holder can convert into a specified number of shares of common stock in ...
is a bond that an investor can return to the issuing company in exchange for a predetermined number of shares in the company. A convertible bond can be thought of as a
corporate bond A corporate bond is a bond issued by a corporation in order to raise financing for a variety of reasons such as to ongoing operations, mergers & acquisitions, or to expand business. It is a longer-term debt instrument indicating that a corpo ...
with a stock
call option In finance, a call option, often simply labeled a "call", is a contract between the buyer and the seller of the call Option (finance), option to exchange a Security (finance), security at a set price. The buyer of the call option has the righ ...
attached to it. The price of a convertible bond is sensitive to three major factors: *''
interest rate An interest rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed (called the principal sum). The total interest on an amount lent or borrowed depends on the principal sum, the interest rate, ...
''. When rates move higher, the bond part of a convertible bond tends to move lower, but the call option part of a convertible bond moves higher (and the aggregate tends to move lower). *''stock price''. When the price of the stock the bond is convertible into moves higher, the price of the bond tends to rise. *'' credit spread''. If the creditworthiness of the issuer deteriorates (e.g.
rating A rating is an evaluation or assessment of something, in terms of a metric (e.g. quality, quantity, a combination of both,...). Rating or rating system may also refer to: Business and economics * Credit rating, estimating the credit worthiness ...
downgrade) and its credit spread widens, the bond price tends to move lower, but, in many cases, the call option part of the convertible bond moves higher (since credit spread correlates with volatility). Given the complexity of the calculations involved and the convoluted structure that a convertible bond can have, an arbitrageur often relies on sophisticated quantitative models in order to identify bonds that are trading cheap versus their theoretical value.
Convertible arbitrage Convertible arbitrage is a market-neutral investment strategy often employed by hedge funds. It involves the simultaneous purchase of convertible securities and the short sale of the same issuer's common stock. The premise of the strategy is ...
consists of buying a convertible bond and hedging two of the three factors in order to gain exposure to the third factor at a very attractive price. For instance an arbitrageur would first buy a convertible bond, then sell
fixed income Fixed income refers to any type of investment under which the borrower or issuer is obliged to make payments of a fixed amount on a fixed schedule. For example, the borrower may have to pay interest at a fixed rate once a year and repay the pr ...
securities A security is a tradable financial asset. The term commonly refers to any form of financial instrument, but its legal definition varies by jurisdiction. In some countries and languages people commonly use the term "security" to refer to any for ...
or
interest rate future An interest rate future is a futures contract (a financial derivative) with an interest-bearing instrument as the underlying asset. It is a particular type of interest rate derivative. Examples include Treasury-bill futures, Treasury-bond future ...
s (to hedge the interest rate exposure) and buy some credit protection (to hedge the risk of credit deterioration). Eventually what he or she would be left with is something similar to a call option on the underlying stock, acquired at a very low price. He or she could then make money either selling some of the more expensive options that are openly traded in the market or
delta hedging In finance, delta neutral describes a portfolio of related financial securities, in which the portfolio value remains unchanged when small changes occur in the value of the underlying security (having zero delta). Such a portfolio typically contain ...
his or her exposure to the underlying shares.


Depository receipts

A
depositary receipt A depositary receipt (DR) is a negotiable financial instrument issued by a bank to represent a foreign company's Public company, publicly traded Security (finance), securities. The depositary receipt trades on a local stock exchange. Depositary rec ...
is a security that is offered as a "tracking stock" on another foreign market. For instance, a Chinese company wishing to raise more money may issue a depository receipt on the
New York Stock Exchange The New York Stock Exchange (NYSE, nicknamed "The Big Board") is an American stock exchange in the Financial District, Manhattan, Financial District of Lower Manhattan in New York City. It is the List of stock exchanges, largest stock excha ...
, as the amount of capital on the local exchanges is limited. These securities, known as ADRs ( American depositary receipt) or GDRs (
global depository receipt A global depository receipt (GDR and sometimes spelled ''depositary'') is a general name for a depositary receipt where a certificate issued by a depository bank, which purchases Share (finance), shares of foreign companies, creates a Security ( ...
) depending on where they are issued, are typically considered "foreign" and therefore trade at a lower value when first released. Many ADR's are exchangeable into the original security (known as
fungibility In economics and law, fungibility is the property of something whose individual units are considered fundamentally interchangeable with each other. For example, the fungibility of money means that a $100 bill (note) is considered entirely equ ...
) and actually have the same value. In this case, there is a spread between the perceived value and real value, which can be extracted. Other ADR's that are not exchangeable often have much larger spreads. Since the ADR is trading at a value lower than what it is worth, one can purchase the ADR and expect to make money as its value converges on the original. However, there is a chance that the original stock will fall in value too, so by shorting it one can hedge that risk.


Cross-border arbitrage

Cross-border arbitrage exploits different prices of the same stock in different countries: Example:
Apple An apple is a round, edible fruit produced by an apple tree (''Malus'' spp.). Fruit trees of the orchard or domestic apple (''Malus domestica''), the most widely grown in the genus, are agriculture, cultivated worldwide. The tree originated ...
is trading on
NASDAQ The Nasdaq Stock Market (; National Association of Securities Dealers Automated Quotations) is an American stock exchange based in New York City. It is the most active stock trading venue in the U.S. by volume, and ranked second on the list ...
at US$108.84. The stock is also traded on the German electronic exchange, XETRA. If 1 euro costs US$1.11, a cross-border trader could enter a buy order on the XETRA at €98.03 per Apple share and a sell order at €98.07 per share. Some brokers in Germany do not offer access to the U.S. exchanges. Hence if a German retail investor wants to buy Apple stock, he needs to buy it on the XETRA. The cross-border trader would sell the Apple shares on XETRA to the investor and buy the shares in the same second on NASDAQ. Afterwards, the cross-border trader would need to transfer the shares bought on NASDAQ to the German XETRA exchange, where he is obliged to deliver the stock. In most cases, the quotation on the local exchanges is done electronically by high-frequency traders, taking into consideration the home price of the stock and the
exchange rate In finance, an exchange rate is the rate at which one currency will be exchanged for another currency. Currencies are most commonly national currencies, but may be sub-national as in the case of Hong Kong or supra-national as in the case of ...
. This kind of high-frequency trading benefits the public, as it reduces the cost to the German investor and enables them to buy U.S. shares.


Dual-listed companies

A
dual-listed company A dual-listed company or DLC is a corporate structure in which two corporations function as a single operating business through a legal equalization agreement, but retain separate legal identities and stock exchange listings. Virtually all DLCs a ...
(DLC) structure involves two companies incorporated in different countries contractually agreeing to operate their businesses as if they were a single enterprise, while retaining their separate legal identity and existing stock exchange listings. In integrated and efficient financial markets, stock prices of the twin pair should move in lockstep. In practice, DLC share prices exhibit large deviations from theoretical parity. Arbitrage positions in DLCs can be set up by obtaining a long position in the relatively underpriced part of the DLC and a short position in the relatively overpriced part. Such arbitrage strategies start paying off as soon as the relative prices of the two DLC stocks converge toward theoretical parity. However, since there is no identifiable date at which DLC prices will converge, arbitrage positions sometimes have to be kept open for considerable periods of time. In the meantime, the price gap might widen. In these situations, arbitrageurs may receive
margin call ''Margin Call'' is a 2011 American drama film written and directed by J. C. Chandor in his feature directorial debut. The principal story takes place over a 24-hour period at a large Wall Street investment bank during the initial stages of the ...
s, after which they would most likely be forced to liquidate part of the position at a highly unfavorable moment and suffer a loss. Arbitrage in DLCs may be profitable, but is also very risky. A good illustration of the risk of DLC arbitrage is the position in
Royal Dutch Shell Shell plc is a British multinational oil and gas company, headquartered in London, England. Shell is a public limited company with a primary listing on the London Stock Exchange (LSE) and secondary listings on Euronext Amsterdam and the New ...
—which had a DLC structure until 2005—by the hedge fund
Long-Term Capital Management Long-Term Capital Management L.P. (LTCM) was a highly leveraged hedge fund. In 1998, it received a $3.6 billion bailout from a group of 14 banks, in a deal brokered and put together by the Federal Reserve Bank of New York. LTCM was founded in ...
(LTCM, see also the discussion below). Lowenstein (2000) describes that LTCM established an arbitrage position in Royal Dutch Shell in the summer of 1997, when Royal Dutch traded at an 8 to 10 percent premium. In total, $2.3 billion was invested, half of which was long in Shell and the other half was short in Royal Dutch (Lowenstein, p. 99). In the autumn of 1998, large defaults on Russian debt created significant losses for the hedge fund and LTCM had to unwind several positions. Lowenstein reports that the premium of Royal Dutch had increased to about 22 percent and LTCM had to close the position and incur a loss. According to Lowenstein (p. 234), LTCM lost $286 million in equity
pairs trading A pairs trade or pair trading is a market neutral trading strategy enabling traders to profit from virtually any market conditions: uptrend, downtrend, or sideways movement. This strategy is categorized as a statistical arbitrage and convergence ...
and more than half of this loss is accounted for by the
Royal Dutch Shell Shell plc is a British multinational oil and gas company, headquartered in London, England. Shell is a public limited company with a primary listing on the London Stock Exchange (LSE) and secondary listings on Euronext Amsterdam and the New ...
trade. (See further under
Limits to arbitrage Limits to arbitrage is a theory in financial economics that, due to restrictions that are placed on funds that would ordinarily be used by rational traders to arbitrage away pricing inefficiencies, prices may remain in a non-equilibrium state for ...
.)


Private to public equities

The market prices for privately held companies are typically viewed from a return on investment perspective (such as 25%), whilst publicly held and or exchange listed companies trade on a
price to earnings ratio A price is the (usually not negative) quantity of payment or Financial compensation, compensation expected, required, or given by one Party (law), party to another in return for Good (economics), goods or Service (economics), services. In so ...
(P/E) (such as a P/E of 10, which equates to a 10%
return on investment Return on investment (ROI) or return on costs (ROC) is the ratio between net income (over a period) and investment (costs resulting from an investment of some resources at a point in time). A high ROI means the investment's gains compare favorab ...
(ROI)). Thus, if a publicly traded company specialises in the acquisition of privately held companies, from a per-share perspective there is a gain with every acquisition that falls within these guidelines. E.g.,
Berkshire Hathaway Berkshire Hathaway Inc. () is an American multinational conglomerate holding company headquartered in Omaha, Nebraska. Originally a textile manufacturer, the company transitioned into a conglomerate starting in 1965 under the management of c ...
. Private to public equities arbitrage is a term that can arguably be applied to
investment banking Investment banking is an advisory-based financial service for institutional investors, corporations, governments, and similar clients. Traditionally associated with corporate finance, such a bank might assist in raising financial capital by und ...
in general. Private markets to public markets differences may also help explain the overnight windfall gains enjoyed by principals of companies that just did an
initial public offering An initial public offering (IPO) or stock launch is a public offering in which shares of a company are sold to institutional investors and usually also to retail (individual) investors. An IPO is typically underwritten by one or more investm ...
(IPO).


Regulatory arbitrage

Regulatory arbitrage "is an avoidance strategy of regulation that is exercised as a result of a regulatory inconsistency". In other words, where a regulated institution takes advantage of the difference between its real (or economic)
risk In simple terms, risk is the possibility of something bad happening. Risk involves uncertainty about the effects/implications of an activity with respect to something that humans value (such as health, well-being, wealth, property or the environ ...
and the regulatory position. For example, if a bank, operating under the
Basel I Basel I is the first Basel Accord. It arose from deliberations by central bankers from major countries during the late 1970s and 1980s. In 1988, the Basel Committee on Banking Supervision (BCBS) in Basel, Switzerland, published a set of minimu ...
accord, has to hold 8% capital against
default risk Credit risk is the chance that a borrower does not repay a loan or fulfill a loan obligation. For lenders the risk includes late or lost interest and principal payment, leading to disrupted cash flows and increased collection costs. The loss m ...
, but the real risk of default is lower, it is profitable to securitise the loan, removing the low-risk loan from its portfolio. On the other hand, if the real risk is higher than the regulatory risk then it is profitable to make that loan and hold on to it, provided it is priced appropriately. Regulatory arbitrage can result in parts of entire businesses being unregulated as a result of the arbitrage. This process can increase the overall riskiness of institutions under a risk insensitive regulatory regime, as described by
Alan Greenspan Alan Greenspan (born March 6, 1926) is an American economist who served as the 13th chairman of the Federal Reserve from 1987 to 2006. He worked as a private adviser and provided consulting for firms through his company, Greenspan Associates L ...
in his October 1998 speech o
The Role of Capital in Optimal Banking Supervision and Regulation
The term "Regulatory Arbitrage" was used for the first time in 2005 when it was applied by Scott V. Simpson, a partner at law firm Skadden, Arps, to refer to a new defence tactic in hostile mergers and acquisitions where differing takeover regimes in deals involving multi-jurisdictions are exploited to the advantage of a target company under threat. In economics, regulatory arbitrage (sometimes, tax arbitrage) may refer to situations when a company can choose a nominal place of business with a regulatory, legal or tax regime with lower costs. This can occur particularly where the business transaction has no obvious physical location. In the case of many financial products, it may be unclear "where" the transaction occurs. Regulatory arbitrage can include restructuring a bank by outsourcing services such as IT. The outsourcing company takes over the installations, buying out the bank's assets and charges a periodic service fee back to the bank. This frees up cashflow usable for new lending by the bank. The bank will have higher IT costs, but counts on the multiplier effect of
money creation Money creation, or money issuance, is the process by which the money supply of a country, or an economic or monetary region,Such as the Eurozone or ECCAS is increased. In most modern economies, money is created by both central banks and comm ...
and the interest rate spread to make it a profitable exercise. Example: Suppose the bank sells its IT installations for US$40 million. With a reserve ratio of 10%, the bank can create US$400 million in additional loans (there is a time lag, and the bank has to expect to recover the loaned money back into its books). The bank can often lend (and securitize the loan) to the IT services company to cover the acquisition cost of the IT installations. This can be at preferential rates, as the sole client using the IT installation is the bank. If the bank can generate 5% interest margin on the 400 million of new loans, the bank will increase interest revenues by 20 million. The IT services company is free to leverage their balance sheet as aggressively as they and their banker agree to. This is the reason behind the trend towards outsourcing in the financial sector. Without this money creation benefit, it is actually more expensive to outsource the IT operations as the outsourcing adds a layer of management and increases overhead. According to PBS ''Frontline'''s 2012 four-part documentary, "Money, Power, and Wall Street", regulatory arbitrage, along with asymmetric bank lobbying in Washington and abroad, allowed investment banks in the pre- and post-2008 period to continue to skirt laws and engage in the risky proprietary trading of opaque derivatives, swaps, and other credit-based instruments invented to circumvent legal restrictions at the expense of clients, government, and publics. Due to the Affordable Care Act's expansion of Medicaid coverage, one form of Regulatory Arbitrage can now be found when businesses engage in "Medicaid Migration", a maneuver by which qualifying employees who would typically be enrolled in company health plans elect to enroll in Medicaid instead. These programs that have similar characteristics as insurance products to the employee, but have radically different cost structures, resulting in significant expense reductions for employers.


Telecom arbitrage

Telecom arbitrage companies allow phone users to make international calls for free through certain access numbers. Such services are offered in the United Kingdom; the telecommunication arbitrage companies get paid an interconnect charge by the UK mobile networks and then buy international routes at a lower cost. The calls are seen as free by the UK contract mobile phone customers since they are using up their allocated monthly minutes rather than paying for additional calls. Such services were previously offered in the United States by companies such as FuturePhone.com. These services would operate in rural telephone exchanges, primarily in small towns in the state of Iowa. In these areas, the local telephone carriers are allowed to charge a high "termination fee" to the caller's carrier in order to fund the cost of providing service to the small and sparsely populated areas that they serve. However, FuturePhone (as well as other similar services) ceased operations upon legal challenges from AT&T and other service providers.


Statistical arbitrage

Statistical arbitrage In finance, statistical arbitrage (often abbreviated as Stat Arb or StatArb) is a class of short-term financial trading strategies that employ Mean reversion (finance), mean reversion models involving broadly diversified portfolios of securities (h ...
is an imbalance in expected nominal values. A
casino A casino is a facility for gambling. Casinos are often built near or combined with hotels, resorts, restaurants, retail shops, cruise ships, and other tourist attractions. Some casinos also host live entertainment, such as stand-up comedy, conce ...
has a statistical arbitrage in every game of chance that it offers, referred to as the
house advantage A casino game is one in which players gambling, gamble cash or casino token, chips on various possible random outcomes or combinations of outcomes, often in a casino environment. Such games are also available in online casinos, where permitted b ...
, house edge,
vigorish Vigorish (also called the cut, the house edge, juice, the margin, the take, under-juice, or the vig) is the fee charged by a bookmaker for accepting a gambler's wager. In American English, it can also refer to the interest owed a loanshark in con ...
, or house vigorish.


Gray market

Grey market A grey market or dark market (sometimes confused with the similar term "parallel import, parallel market") is the trade of a commodity through distribution channels that are not authorised by the original manufacturer or trademark proprietor. ...
arbitrage involves buying items through marketing channels that sell them without the permission of the product trademark owner and sells them in the legitimate market. A Swiss watch sold by an approved dealer for £42,600 is an excellent example of a grey market product; customers can buy the identical watch for £27,227 on the Chrono24 website, which is an unlicensed 'grey market.'Autrey, R.L., Bova, F. and Soberman, D.A. (2015), “When gray is good: gray markets and marketcreating investments”, Production and Operations Management, Vol. 24 No. 4, pp. 547-559


See also


Types of financial arbitrage

*
Arbitrage betting Betting arbitrage ("sure bets", sports arbitrage) is an example of arbitrage arising on betting markets due to either bookmakers' differing opinions on event outcomes, or errors. When conditions allow, by placing one bet per each outcome with dif ...
*
Covered interest arbitrage Covered interest arbitrage is an arbitrage trading strategy whereby an investor capitalizes on the interest rate differential between two countries by using a forward contract to ''cover'' (eliminate exposure to) exchange rate risk. Using forward co ...
*
Fixed income arbitrage Fixed-income arbitrage is a group of market-neutral-investment strategies that are designed to take advantage of differences in interest rates between varying fixed-income securities or contracts (Jefferson, 2007). Arbitrage in terms of investment ...
*
Global labor arbitrage Global labor arbitrage is an economic phenomenon where, as a result of the removal of or disintegration of barriers to international trade, jobs move to nations where labor and the cost of doing business (such as environmental regulations) are in ...
* Political arbitrage *
Options arbitrage Options arbitrage is a trading strategy using arbitrage in the options market to earn small profits with very little or zero risk. Traders perform conversions when options are relatively overpriced by purchasing stock and selling the equivalent op ...
*
Risk arbitrage Risk arbitrage, also known as merger arbitrage, is an investment strategy that speculates on the successful completion of mergers and acquisitions. An investor that employs this strategy is known as an arbitrageur. Risk arbitrage is a type of eve ...
*
Statistical arbitrage In finance, statistical arbitrage (often abbreviated as Stat Arb or StatArb) is a class of short-term financial trading strategies that employ Mean reversion (finance), mean reversion models involving broadly diversified portfolios of securities (h ...
* Triangular arbitrage *
Uncovered interest arbitrage Uncovered interest arbitrage is an arbitrage trading strategy whereby an investor capitalizes on the interest rate differential between two countries. Unlike covered interest arbitrage, uncovered interest arbitrage involves no hedging of foreign e ...
*
Volatility arbitrage In finance, volatility arbitrage (or vol arb) is a term for financial arbitrage techniques directly dependent and based on volatility. A common type of vol arb is type of statistical arbitrage that is implemented by trading a delta neutral po ...


Related concepts

*
Airline booking ploys Airline booking ploys are used by travelers in commercial aviation to lower the price of flying by circumventing airlines' rules about how tickets may be used. They are generally a breach of the contract of carriage between the passenger and the ...
*
Algorithmic trading Algorithmic trading is a method of executing orders using automated pre-programmed trading instructions accounting for variables such as time, price, and volume. This type of trading attempts to leverage the speed and computational resources of ...
*
Arbitrage pricing theory In finance, arbitrage pricing theory (APT) is a multi-factor model for asset pricing which relates various macro-economic (systematic) risk variables to the pricing of financial assets. Proposed by economist Stephen Ross (economist), Stephen Ross i ...
*
Coherence (philosophical gambling strategy) In decision theory, economics, and probability theory, the Dutch book arguments are a set of results showing that agents must satisfy the axioms of rational choice to avoid a kind of self-contradiction called a Dutch book. A Dutch book, some ...
, analogous concept in
Bayesian probability Bayesian probability ( or ) is an interpretation of the concept of probability, in which, instead of frequency or propensity of some phenomenon, probability is interpreted as reasonable expectation representing a state of knowledge or as quant ...
* Cointelation *
Drop shipping Drop shipping is a form of retail business in which the seller accepts customer orders without keeping stock on hand. Instead, in a form of supply chain management, the seller transfers the orders and their shipment details either to the manufa ...
*
Efficient-market hypothesis The efficient-market hypothesis (EMH) is a hypothesis in financial economics that states that asset prices reflect all available information. A direct implication is that it is impossible to "beat the market" consistently on a risk-adjusted basis ...
*
Immunization (finance) In finance, interest rate immunization is a portfolio management strategy designed to take advantage of the offsetting effects of interest rate risk and reinvestment risk. In theory, immunization can be used to ensure that the value of a por ...
*
Interest rate parity Interest rate parity is a no-arbitrage condition representing an equilibrium state under which investors compare interest rates available on bank deposits in two countries. The fact that this condition does not always hold allows for potential op ...
*
Intermediation An intermediary, also known as a middleman or go-between, is defined differently by context. In law or diplomacy, an intermediary is a third party who offers intermediation services between two parties. In trade or barter, an intermediary acts ...
*
No free lunch with vanishing risk No free lunch with vanishing risk (NFLVR) is a concept used in mathematical finance as a strengthening of the no-arbitrage condition. In continuous time finance the existence of an equivalent martingale measure (EMM) is no more equivalent to the ...
*
TANSTAAFL "No such thing as a free lunch" (also written as "There ain't no such thing as a free lunch" or "There is no such thing as a free lunch" and sometimes called Crane's law) is a popular adage communicating the idea that it is impossible to get some ...
*
Ticket resale Ticket resale (also known as ticket scalping or ticket touting when done for profit) is the act of reselling ticket (admission), tickets for admission to events. Tickets are bought from licensed sellers and then sold for a price determined by the i ...
* Value investing


References

*Greider, William (1997). ''One World, Ready or Not''. Penguin Press. . *''Special Situation Investing: Hedging, Arbitrage, and Liquidation'', Brian J. Stark, Dow-Jones Publishers. New York, NY 1983. ;


External links


What is Regulatory Arbitrage. Regulatory Arbitrage after the Basel ii framework and the 8th Company Law Directive of the European Union.
{{Authority control Financial markets Thought experiments