Content deleted Content added
short description, links Tags: Mobile edit Mobile app edit iOS app edit |
mNo edit summary |
||
(42 intermediate revisions by 30 users not shown) | |||
Line 4:
{{Finance sidebar|instruments}}
In [[finance]], a '''derivative''' is a [[contract]] that ''derives'' its value from the performance of an underlying entity. This underlying entity can be an [[asset]], [[Index fund|index]], [[currency]], or [[interest rate]], and is often simply called the
Some of the more common derivatives include [[Forward contract|forwards]], [[Futures contract|futures]], [[Option (finance)|options]], [[Swap (finance)|swaps]], and variations of these such as synthetic [[collateralized debt obligation]]s and [[credit default swap]]s. Most derivatives are traded [[over-the-counter (finance)|over-the-counter]] (off-exchange) or on an exchange such as the [[Chicago Mercantile Exchange]], while most [[insurance]] contracts have developed into a separate industry. In the [[United States]], after the [[2007–2008 financial crisis
Derivatives are one of the three main categories of financial instruments, the other two being [[Equity (finance)|equity]] (i.e., stocks or shares) and [[debt]] (i.e., [[Bond (finance)|bonds]] and [[mortgages]]). The oldest example of a derivative in history, attested to by [[Aristotle]], is thought to be a contract transaction of [[olive]]s, entered into by ancient Greek philosopher [[Thales]], who made a profit in the exchange.<ref>{{cite book |first1=George |last1=Crawford |first2=Bidyut |last2=Sen |url= https://books.google.com/books?id=NIIVeirctosC&pg=PA7 |title=Derivatives for Decision Makers: Strategic Management Issues |publisher= John Wiley & Sons |year=1996 |isbn=9780471129943 |access-date=2016-06-15}}</ref> However, Aristotle did not define this arrangement as a derivative but as a monopoly (Aristotle's Politics, Book I, Chapter XI). [[Bucket shop (stock market)|Bucket shops]], outlawed [[Commodity Exchange Act|in 1936]] in the US, are a more recent historical example.
==Basics==
{{
Derivatives are contracts between two parties that specify conditions (especially the dates, resulting values and definitions of the underlying variables, the parties' contractual obligations, and the [[notional amount]]) under which payments are to be made between the parties.<ref name="hull"/><ref>{{cite book |last=
From the economic point of view, financial derivatives are cash flows that are conditioned [[stochastic]]ally and discounted to present value. The [[market risk]] inherent in the [[underlying asset]] is attached to the financial derivative through contractual agreements and hence can be traded separately.<ref name="ssrn.com">{{cite
There are two groups of derivative contracts: the privately traded [[over-the-counter (finance)|over-the-counter]] (OTC) derivatives such as [[swap (finance)|swaps]] that do not go through an exchange or other intermediary, and [[Exchange-traded derivative contract|exchange-traded derivatives]] (ETD) that are traded through specialized [[derivatives exchange]]s or other exchanges.
Line 39:
}}</ref>
Still, even these scaled-down figures represent huge amounts of money. For perspective, the budget for total expenditure of the United States government during 2012 was $3.5 trillion,<ref name="2012actual">{{cite book | url= http://www.cbo.gov/sites/default/files/cbofiles/attachments/43907-BudgetOutlook.pdf | title =The Budget and Economic Outlook: Fiscal Years 2013 to 2023 |publisher= [[Congressional Budget Office]]| access-date=March 15, 2013 |date=February 5, 2013}}</ref> and the total current value of the U.S. stock market is an estimated $23 trillion.<ref>{{cite news | title = Swapping bad ideas: A big battle is unfolding over an even bigger market | newspaper = The Economist | date = April 27, 2013 | access-date = May 10, 2013 | url = https://www.economist.com/news/finance-and-economics/21576681-big-battle-unfolding-over-even-bigger-market-swapping-bad-ideas }}</ref> Meanwhile, the
At least for one type of derivative, [[
==Usage==
Line 75:
Derivatives can be used to acquire risk, rather than to hedge against risk. Thus, some individuals and institutions will enter into a derivative contract to [[Speculation|speculate]] on the value of the underlying asset. Speculators look to buy an asset in the future at a low price according to a derivative contract when the future market price is high, or to sell an asset in the future at a high price according to a derivative contract when the future market price is less.
Speculative trading in derivatives gained a great deal of notoriety in 1995 when [[Nick Leeson]], a trader at [[Barings Bank]], made poor and unauthorized investments in futures contracts. Through a combination of poor judgment, lack of oversight by the bank's management and regulators, and unfortunate events like the [[Kobe earthquake]], Leeson incurred a $1.3 billion loss that [[Bankruptcy|bankrupted]] the centuries-old institution.<ref name="lee">[http://news.bbc.co.uk/2/hi/business/375259.stm "How Leeson broke the bank"], ''BBC Economy''</ref>
===Arbitrage===
Line 82:
===Proportion used for hedging and speculation===
The true proportion of derivatives contracts used for hedging purposes is unknown,<ref>{{cite journal|author1=Sergey Chernenko|author2=Michael Faulkender|title=The Two Sides of Derivatives Usage: Hedging and Speculating with Interest Rate Swaps|journal=The Journal of Financial and Quantitative Analysis|date=December 2011|volume=46|issue=6|pages=1727–1754|doi=10.1017/S0022109011000391|citeseerx=10.1.1.422.7302|s2cid=13928534}}</ref> but it appears to be relatively small.<ref>Knowledge@Wharton (2012). [http://knowledge.wharton.upenn.edu/article.cfm?articleid=709 "The Changing Use of Derivatives: More Hedging, Less Speculation"]</ref><ref>{{cite
==Types==<!-- This section is linked from [[Financial instrument]] -->
Line 103:
# [[Forward contract|Forwards]]: tailored contract between two parties, where payment takes place at a specific time in the future at today's pre-determined price.
# [[Futures contract|Futures]]: contracts to buy or sell an asset on a future date at a price specified today. A futures contract differs from a forward contract in that the futures contract is a standardized contract written by a [[clearing house (finance)|clearing house]] that operates an exchange where the contract can be bought and sold; the forward contract is a non-standardized contract written by the parties themselves.
# [[Option (finance)|Options]]: contracts that give the owner the right, but not the obligation, to buy (in the case of a [[call option]]) or sell (in the case of a [[put option]]) an asset. The price at which the sale takes place is known as the [[strike price]], and is specified at the time the parties enter into the option. The option contract also specifies a maturity date. In the case of a [[European option]], the owner has the right to require the sale to take place on (but not before) the maturity date; in the case of an [[American option]], the owner can require the sale to take place at any time up to the maturity date. If the owner of the contract exercises this right, the counter-party has the obligation to carry out the transaction. Options are of two types: [[call option]] and [[put option]]
# [[Binary option]]s: contracts that provide the owner with an all-or-nothing profit profile.
# [[Warrant (finance)|Warrants]]: apart from the commonly used short-dated options which have a maximum maturity period of one year, there exist certain long-dated options as well, known as [[Warrant (finance)|warrants]]. These are generally traded over the counter.
# [[Swap (finance)|Swaps]]: contracts to exchange cash (flows) on or before a specified future date based on the underlying value of currencies exchange rates, bonds/interest rates, [[commodities exchange]], stocks or other assets
::Swaps can basically be categorized into [[Interest rate swap]] and [[Currency swap]].<ref>{{cite web|title=Financial Markets: A Beginner's Module|url=http://www.nseindia.com/education/content/module_ncfm.htm|access-date=October 12, 2011|archive-date=August 30, 2011|archive-url=https://web.archive.org/web/20110830112932/http://nseindia.com/education/content/module_ncfm.htm|url-status=dead}}</ref>
Some common examples of these derivatives are the following:
Line 170 ⟶ 168:
A [[Credit default swap|'''credit default swap''' ('''CDS''')]] is a [[Swap (finance)|financial swap]] agreement that the seller of the CDS will compensate the buyer (the creditor of the reference loan) in the event of a loan [[Default (finance)|default]] (by the debtor) or other [[credit event]]. The buyer of the CDS makes a series of payments (the CDS "fee" or "spread") to the seller and, in exchange, receives a payoff if the loan defaults. It was invented by [[Blythe Masters]] from [[J.P. Morgan & Co.|JP Morgan]] in 1994.
In the event of default the buyer of the CDS receives compensation (usually the [[face value]] of the loan), and the seller of the CDS takes possession of the defaulted loan. However, anyone with sufficient collateral to trade with a bank or hedge fund can purchase a CDS, even buyers who do not hold the loan instrument and who have no direct [[insurable interest]] in the loan (these are called "naked" CDSs). If there are more CDS contracts outstanding than bonds in existence, a protocol exists to hold a [[Credit default swap#Auctions|credit event auction]]; the payment received is usually substantially less than the face value of the loan.<ref>{{cite news |url=http://ftalphaville.ft.com/blog/2012/01/05/779501/why-do-they-exist |title=Credit event auctions: Why do they exist? |work= FT Alphaville |author = Lisa Pollack |date=January 5, 2012 }}</ref>
Credit default swaps have existed since the early 1990s, and increased in use after 2003. By the end of 2007, the outstanding CDS amount was $62.2 trillion,<ref name='ISDA Annual Chart'>{{cite web |url=http://www.isda.org/statistics/pdf/ISDA-Market-Survey-annual-data.pdf |title=Chart; ISDA Market Survey; Notional amounts outstanding at year-end, all surveyed contracts, 1987–present |access-date=April 8, 2010 |publisher=[[International Swaps and Derivatives Association]] (ISDA) |archive-url=https://web.archive.org/web/20120307124122/http://www.isda.org/statistics/pdf/ISDA-Market-Survey-annual-data.pdf |archive-date=March 7, 2012 |url-status=dead }}</ref> falling to $26.3 trillion by mid-year 2010<ref name="test">[http://www.isda.org/statistics/recent.html "ISDA 2010 Mid-Year Market Survey"] {{Webarchive|url=https://web.archive.org/web/20110913153054/http://www.isda.org/statistics/recent.html |date=September 13, 2011 }}. Latest available a/o March 1, 2012.</ref> but reportedly $25.5<ref>{{cite web |url=http://www.isdacdsmarketplace.com/market_statistics |title=
<ref name='Sirri Testimony'>{{cite news | url= https://www.sec.gov/news/testimony/2008/ts101508ers.htm |title= Testimony Concerning Credit Default Swaps Before the House Committee on Agriculture October 15, 2008 |access-date=April 2, 2010 |first=Erik |last=Sirri}}</ref><ref name='Partnoy Article'>{{cite journal |title= The Promise And Perils of Credit Derivatives |journal= University of Cincinnati Law Review |year=2007 | author1 = Frank Partnoy |author2 =David A. Skeel, Jr. |volume=75 |pages=1019–1051 |ssrn=929747|author1-link= Frank Partnoy }}</ref> In March 2010, the [DTCC] Trade Information Warehouse announced it would give regulators greater access to its credit default swaps database.<ref>{{cite news |url=http://www.dtcc.com/news/press/releases/2010/data_release_policy.php |title=Media Statement: DTCC Policy for Releasing CDS Data to Global Regulators |access-date=April 22, 2010 |date=March 23, 2010 |work=Depository Trust & Clearing Corporation |url-status=dead |archive-url=https://web.archive.org/web/20100429154058/http://www.dtcc.com/news/press/releases/2010/data_release_policy.php |archive-date=April 29, 2010 }}</ref>
Line 183 ⟶ 181:
The [[forward price]] of such a contract is commonly contrasted with the [[spot price]], which is the price at which the asset changes hands on the [[spot date]]. The difference between the spot and the forward price is the [[forward premium]] or forward discount, generally considered in the form of a [[Profit (accounting)|profit]], or loss, by the purchasing party. Forwards, like other derivative securities, can be used to [[Hedge (finance)|hedge]] risk (typically currency or exchange rate risk), as a means of [[speculation]], or to allow a party to take advantage of a quality of the underlying instrument which is time-sensitive.
A closely related contract is a [[futures contract]]; they [[Futures contract#Futures versus forwards|differ in certain respects]]. Forward contracts are very similar to futures contracts, except they are not exchange-traded, or defined on standardized assets.<ref>[
===Futures===
Line 191 ⟶ 189:
A closely related contract is a [[forward contract]]. A forward is like a futures in that it specifies the exchange of goods for a specified price at a specified future date. However, a forward is not traded on an exchange and thus does not have the interim partial payments due to marking to market. Nor is the contract standardized, as on the exchange.
Unlike an [[option (finance)|option]], both parties of a futures contract must fulfill the contract on the delivery date. The seller delivers the underlying asset to the buyer, or, if it is a cash-settled futures contract, then cash is transferred from the futures trader who sustained a loss to the one who made a profit. To exit the commitment prior to the settlement date, the holder of a futures [[position (finance)|position]] can close out its contract obligations by taking the opposite position on another futures contract on the same asset and settlement date. The difference in futures prices is then a profit or loss
===Mortgage-backed securities===
Line 206 ⟶ 204:
* The second part is the "time value", which depends on a set of other factors which, through a multivariable, non-linear interrelationship, reflect the [[discounted]] [[expected value]] of that difference at expiration.
Although options valuation has been studied since the 19th century, the contemporary approach is based on the [[Black–Scholes model]], which was first published in 1973.<ref>{{cite journal |first=Eric |last=Benhamou |title=
Options contracts have been known for many centuries. However, both trading activity and academic interest increased when, as from 1973, options were issued with standardized terms and traded through a guaranteed clearing house at the [[Chicago Board Options Exchange]]. Today, many options are created in a standardized form and traded through clearing houses on regulated [[Exchange (organized market)|options exchanges]], while other [[Over-the-counter (finance)|over-the-counter]] options are written as bilateral, customized contracts between a single buyer and seller, one or both of which may be a dealer or market-maker. Options are part of a larger class of financial instruments known as [[derivative products]] or simply derivatives.<ref name="hull"/><ref>{{Citation
Line 238 ⟶ 236:
# As supervision, reconnaissance of the activities of various participants becomes tremendously difficult in assorted markets; the establishment of an organized form of market becomes all the more imperative. Therefore, in the presence of an organized derivatives market, [[speculation]] can be controlled, resulting in a more meticulous environment.
# Third parties can use publicly available derivative prices as educated predictions of uncertain future outcomes, for example, the likelihood that a corporation will default on its debts.
In a nutshell, there is a substantial increase in savings and investment in the long run due to augmented activities by derivative [[market participant]].<ref>{{cite web|title=Currency Derivatives: A Beginner's Module|url=http://www.nseindia.com/education/content/module_ncfm.htm|access-date=October 12, 2011|archive-date=August 30, 2011|archive-url=https://web.archive.org/web/20110830112932/http://nseindia.com/education/content/module_ncfm.htm|url-status=dead}}</ref>
==Valuation==
Line 261 ⟶ 259:
==Risks==
Derivatives are often subject to the following criticisms; particularly since the [[
=== Hidden tail risk ===
Line 276 ⟶ 274:
| s2cid = 56263069
| author-link = Raghuram Rajan
| doi-access = free
See the [[FRTB]] framework, which seeks to address this to some extent.
===Leverage===
{{
{{See also|List of trading losses}}
The use of derivatives can result in large losses because of the use of [[leverage (finance)|leverage]], or borrowing. Derivatives allow [[investor]]s to earn large returns from small movements in the underlying asset's price. However, investors could lose large amounts if the price of the underlying moves against them significantly. There have been several instances of massive losses in derivative markets, such as the following:
:* [[American International Group]] (AIG) lost more than US$18 billion through a subsidiary over the preceding three quarters on [[credit default swap]]s (CDSs).<ref>{{cite news|last=Kelleher |first=James B.|url=https://www.reuters.com/article/newsOne/idUSN1837154020080918 |title="Buffett's Time Bomb Goes Off on Wall Street" by James B. Kelleher of Reuters |publisher=Reuters.com |date= September 18, 2008|access-date=August 29, 2010}}</ref> The United States [[Federal Reserve System|Federal Reserve Bank]] announced the creation of a secured credit facility of up to US$85 billion, to prevent the company's collapse by enabling AIG to meet its obligations to deliver additional collateral to its credit default swap trading partners.<ref>{{cite
:* The [[2008 Société Générale trading loss|loss of US$7.2 Billion]] by [[Société Générale]] in January 2008 through mis-use of futures contracts.
:* The loss of US$6.4 billion in the failed fund [[Amaranth Advisors]], which was long natural gas in September 2006 when the price plummeted.
Line 290 ⟶ 289:
:* The loss of US$1.3 billion equivalent in oil derivatives in 1993 and 1994 by [[Metallgesellschaft AG]].<ref>{{Cite journal | last = Edwards | first = Franklin | title = Derivatives Can Be Hazardous To Your Health: The Case of Metallgesellschaft | journal = Derivatives Quarterly | issue = Spring 1995 | pages = 8–17 | year = 1995 | url = http://www0.gsb.columbia.edu/faculty/fedwards/papers/DerivativesCanBeHazardous.pdf }}</ref>
:* The loss of US$1.2 billion equivalent in equity derivatives in 1995 by [[Barings Bank]].<ref>{{Cite book | last = Whaley | first = Robert | title = Derivatives: markets, valuation, and risk management | publisher = John Wiley and Sons | year = 2006 | page = 506 | url = https://books.google.com/books?id=Hb7xXy-wqiYC | isbn = 978-0-471-78632-0}}</ref>
:*UBS AG, Switzerland's biggest bank, suffered a $2 billion loss through unauthorized trading discovered in September 2011.<ref>{{cite magazine|url=http://www.businessweek.com/news/2011-09-15/ubs-loss-shows-banks-fail-to-learn-from-kerviel-leeson.html |archive-url=https://web.archive.org/web/20121030175804/http://www.businessweek.com/news/2011-09-15/ubs-loss-shows-banks-fail-to-learn-from-kerviel-leeson.html |url-status=dead |archive-date=October 30, 2012 |title=UBS Loss Shows Banks Fail to Learn From Kerviel, Leeson |magazine=Businessweek |date=September 15, 2011 |access-date=March 5, 2013}}</ref>
Derivatives typically have a '''large notional value'''. As such, there is the danger that their use could result in losses for which the investor would be unable to compensate. The possibility that this could lead to a chain reaction ensuing in an economic crisis was pointed out by famed investor [[Warren Buffett]] in [[Berkshire Hathaway]]'s 2002 annual report. Buffett called them 'financial weapons of mass destruction.' A potential problem with derivatives is that they comprise an increasingly larger notional amount of assets which may lead to distortions in the underlying capital and equities markets themselves. Investors begin to look at the derivatives markets to make a decision to buy or sell securities and so what was originally meant to be a market to transfer risk now becomes a leading indicator.[http://www.berkshirehathaway.com/2002ar/2002ar.pdf (See Berkshire Hathaway Annual Report for 2002)]
===
Some derivatives (especially swaps) expose investors to [[Credit risk#Counterparty risk|counterparty risk]], or risk arising from the other party in a financial transaction. Counterparty risk results from the differences in the current price versus the expected future settlement price.<ref>{{Cite journal |last1=Wu |first1=Weiou |last2=G. McMillan |first2=David |date=2014-07-08 |title=The dependence structure in credit risk between money and derivatives markets: A time-varying conditional copula approach |url=https://www.emerald.com/insight/content/doi/10.1108/MF-07-2013-0184/full/html |journal=Managerial Finance |language=en |volume=40 |issue=8 |pages=758–769 |doi=10.1108/MF-07-2013-0184 |issn=0307-4358}}</ref> Different types of derivatives have different levels of counter party risk. For example, standardized stock options by law require the party at risk to have a certain amount deposited with the exchange, showing that they can pay for any losses; banks that help businesses swap variable for fixed rates on loans may do credit checks on both parties. However, in private agreements between two companies, for example, there may not be benchmarks for performing due diligence and risk analysis.
==Financial reform and government regulation==
Under US law and the laws of most other developed countries, derivatives have special legal exemptions that make them a particularly attractive legal form to extend credit. The strong creditor protections afforded to derivatives counterparties, in combination with their complexity and lack of transparency however, can cause capital markets to underprice credit risk. This can contribute to credit booms, and increase systemic risks. Indeed, the use of derivatives to conceal credit risk from third parties while protecting derivative counterparties contributed to the [[2007–2008 financial crisis
In the context of a 2010 examination of the [[Intercontinental Exchange|ICE Trust]], an industry self-regulatory body, [[Gary Gensler]], the chairman of the [[Commodity Futures Trading Commission]] which regulates most derivatives, was quoted saying that the derivatives marketplace as it functions now "adds up to higher costs to all Americans". More oversight of the banks in this market is needed, he also said. Additionally, the report said, "[t]he [[United States Department of Justice|Department of Justice]] is looking into derivatives, too. The department's antitrust unit is actively investigating 'the possibility of anticompetitive practices in the credit derivatives clearing, trading and information services industries', according to a department spokeswoman."<ref>Story, Louise, [https://www.nytimes.com/2010/12/12/business/12advantage.html?hp "A Secretive Banking Elite Rules Trading in Derivatives"], ''The New York Times'', December 11, 2010 (December 12, 2010, p. A1 NY ed.). Retrieved December 12, 2010.</ref>
Line 309 ⟶ 308:
Nonetheless, the above and other challenges of the rule-making process have delayed full enactment of aspects of the legislation relating to derivatives. The challenges are further complicated by the necessity to orchestrate globalized financial reform among the nations that comprise the world's major financial markets, a primary responsibility of the [[Financial Stability Board]] whose progress is ongoing.<ref>Financial Stability Board (2012). "OTC Derivatives Market Reforms Third Progress Report on Implementation" June 15, 2012 http://www.financialstabilityboard.org/publications/r_120615.pdf</ref>
In the U.S., by February 2012 the combined effort of the SEC and CFTC had produced over 70 proposed and final derivatives rules.<ref name="lexology1">{{cite web|author=Proskauer Rose LLP |url=http://www.lexology.com/library/detail.aspx?g=e7db9a60-9fca-449b-850b-b4a32d1e425d |title=SEC and CFTC oversight of derivatives: a status report |date = February 6, 2012|publisher=Lexology |access-date=March 5, 2013}}</ref> However, both of them had delayed adoption of a number of derivatives regulations because of the burden of other
[[File:Dmitry Medvedev at G20 Pittsburgh summit-1.jpg|thumb|300px|Country leaders at the [[2009 G-20 Pittsburgh summit]]]]
In November 2012, the SEC and regulators from Australia, Brazil, the European Union, Hong Kong, Japan, Ontario, Quebec, Singapore, and Switzerland met to discuss reforming the OTC derivatives market, as had been agreed by leaders at the [[2009 G-20 Pittsburgh summit]] in September 2009.<ref name="autogenerated1">{{citation-attribution|1={{cite web|url=https://www.sec.gov/News/PressRelease/Detail/PressRelease/1365171486526 |title=Joint Press Statement of Leaders on Operating Principles and Areas of Exploration in the Regulation of the Cross-Border OTC Derivatives Market; 2012-251 |publisher=Sec.gov |date=December 4, 2012 |access-date=March 11, 2016}} }}</ref> In December 2012, they released a joint statement to the effect that they recognized that the market is a global one and "firmly support the adoption and enforcement of robust and consistent standards in and across jurisdictions", with the goals of mitigating risk, improving [[Transparency (market)|transparency]], protecting against [[market abuse]], preventing regulatory gaps, reducing the potential for [[arbitrage]] opportunities, and fostering a [[level playing field]] for market participants.<ref name="autogenerated1"/> They also agreed on the need to reduce regulatory uncertainty and provide market participants with sufficient clarity on laws and regulations by avoiding, to the extent possible, the application of conflicting rules to the same entities and transactions, and minimizing the application of inconsistent and duplicative rules.<ref name="autogenerated1"/> At the same time, they noted that "complete harmonization – perfect alignment of rules across jurisdictions" would be difficult, because of jurisdictions' differences in law, policy, markets, implementation timing, and legislative and regulatory processes.<ref name="autogenerated1"/>
On December 20, 2013, the CFTC provided information on its swaps regulation "comparability" determinations. The release addressed the CFTC's cross-border compliance exceptions. Specifically it addressed which entity level and in some cases transaction-level requirements in six jurisdictions (Australia, Canada, the European Union, Hong Kong, Japan, and Switzerland) it found comparable to its own rules, thus permitting non-US swap dealers, major swap participants, and the foreign branches of US Swap Dealers and major swap participants in these jurisdictions to comply with local rules in lieu of Commission rules.<ref>{{cite web |url= http://www.pwc.com/en_US/us/financial-services/regulatory-services/publications/assets/fs-reg-brief-dodd-frank-cftc-derivatives.pdf |title= Derivatives: A first take on cross-border comparability |date=December 2013}}</ref>
===Reporting===
Line 364 ⟶ 363:
* {{cite book |author1=Mehraj Mattoo |year=1997 |title=Structured Derivatives: New Tools for Investment Management: A Handbook of Structuring, Pricing & Investor Applications |location=London |publisher=Financial Times |isbn=978-0-273-61120-2 }}
* {{cite arXiv|author1=Andrei N. Soklakov|title= Elasticity Theory of Structuring |date=2013|eprint=1304.7535|class= q-fin.GN }}
* {{cite
* Nassim N. Taleb (1996). “Dynamic Hedging: Managing Vanilla and Exotic Options”. Wiley.
Line 370 ⟶ 369:
* [https://www.chicagofed.org/publications/understanding-derivatives/index ''Understanding Derivatives: Markets and Infrastructure''] ([[Federal Reserve Bank of Chicago]])
* [http://news.bbc.co.uk/1/hi/business/2190776.stm "Derivatives simple guide"], BBC News
* [https://www.cfainstitute.org/-/media/documents/support/programs/investment-foundations/11-derivatives.ashx?la=en&hash=6BA234D6843721715BA6CB45332CE2D90FC1D75C ''Investment-foundations: Derivatives'']. {{Webarchive|url=https://web.archive.org/web/20201027181218/https://www.cfainstitute.org/-/media/documents/support/programs/investment-foundations/11-derivatives.ashx?la=en&hash=6BA234D6843721715BA6CB45332CE2D90FC1D75C |date=October 27, 2020 }}
* [https://web.archive.org/web/20140219012612/http://ec.europa.eu/internal_market/financial-markets/derivatives/index_en.htm "European Union proposals on derivatives regulation – 2008 onwards"] (archived 19 February 2014)
* [http://www.pwc.com/us/en/financial-services/regulatory-services/publications/derivatives-regulatory-roulette.jhtml " Derivatives Regulatory Roulette"], PwC Financial Services Regulatory Practice (December 2013)
|