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{{Short description|Application of mathematical and computational practices in finance}}{{Financial markets}}{| class=“wikitable floatright” | width=“250” style="text-align:center;“| Fields|The main applications of financial engineeringMarek Capiski and Tomasz Zastawniak, Mathematics for Finance: An Introduction to Financial Engineering, Springer (November 25, 2010) 978-0857290816David Ruppert, Statistics and Data Analysis for Financial Engineering, Springer (November 17, 2010) 978-1441977861 are to:

• Arbitrage
• Corporate finance
• Derivatives pricing
• Execution
• Financial regulation
• Portfolio management
• Risk management
• Structured products
• International finance and financial administration
• Valuation of options

Financial engineering is a multidisciplinary field involving financial theory, methods of engineering, tools of mathematics and the practice of programming.WEB,ieor.columbia.edu/ms-financial-engineering, MS in Financial Engineering, Columbia University Department of Industrial Engineering and Operations Research, 2017-01-18,ieor.columbia.edu/ms-financial-engineering," title="web.archive.org/web/20170119053357ieor.columbia.edu/ms-financial-engineering,">web.archive.org/web/20170119053357ieor.columbia.edu/ms-financial-engineering, 2017-01-19, live, It has also been defined as the application of technical methods, especially from mathematical finance and computational finance, in the practice of finance.Tanya S. Beder and Cara M. Marshall, Financial Engineering: The Evolution of a Profession, Wiley (June 7, 2011) 978-0470455814Financial engineering plays a key role in a bank’s customer-driven derivatives businessQu, Dong (2016). Manufacturing and Managing Customer-Driven Derivatives. Wiley. {{ISBN|978-1-118-63262-8}}. — delivering bespoke OTC-contracts and “exotics”, and implementing various structured products — which encompasses quantitative modelling, quantitative programming and risk managing financial products in compliance with the regulations and Basel capital/liquidity requirements.An older use of the term “financial engineering” that is less common today is aggressive restructuring of corporate balance sheets.{{facts|date=June 2023}} Mathematical finance is the application of mathematics to finance. Computational finance and mathematical finance are both subfields of financial engineering.{{citation needed|date=October 2019}} Computational finance is a field in computer science and deals with the data and algorithms that arise in financial modeling.

Discipline

Financial engineering draws on tools from applied mathematics, computer science, statistics and economic theory.WEB,www.iafeguide.org/financial-engineer.php, What is Financial Engineering?, International Association of Financial Engineers, 2012-07-22,www.iafeguide.org/financial-engineer.php," title="web.archive.org/web/20120630202827www.iafeguide.org/financial-engineer.php,">web.archive.org/web/20120630202827www.iafeguide.org/financial-engineer.php, 2012-06-30, dead, In the broadest sense, anyone who uses technical tools in finance could be called a financial engineer, for example any computer programmer in a bank or any statistician in a government economic bureau.Ali N. Akansu and Mustafa U. Torun. (2015), A Primer for Financial Engineering: Financial Signal Processing and Electronic Trading, Boston, MA: Academic Press, {{ISBN|978-0-12-801561-2}} However, most practitioners restrict the term to someone educated in the full range of tools of modern finance and whose work is informed by financial theory.Salih N. Neftci, Principles of Financial Engineering, Academic Press (December 15, 2008) 978-0123735744 It is sometimes restricted even further, to cover only those originating new financial products and strategies.Robert Dubil, Financial Engineering and Arbitrage in the Financial Markets, Wiley (October 11, 2011) 978-0470746011Despite its name, financial engineering does not belong to any of the fields in traditional professional engineering even though many financial engineers have studied engineering beforehand and many universities offering a postgraduate degree in this field require applicants to have a background in engineering as well.Entry requirements | Imperial College Business School. 2016. Entry requirements | Imperial College Business School. [ONLINE] Available at:wwwf.imperial.ac.uk/business-school/programmes/msc-risk-management/entry-requirements/ {{Webarchive|url=https://web.archive.org/web/20160627201710wwwf.imperial.ac.uk/business-school/programmes/msc-risk-management/entry-requirements/|date=2016-06-27}}. [Accessed 30 June 2016]. Add to My ReferencesWEB,www.zfuw.uni-kl.de/en/science-engineering/financial-engineering, Master Financial Engineering postgraduate distance learning-TU Kaiserslautern, In the United States, the Accreditation Board for Engineering and Technology (ABET) does not accredit financial engineering degrees.WEB,www.abet.org/member-society-list/, List of Member Societies, ABET,abet.org/member-society-list/," title="web.archive.org/web/20130430203038abet.org/member-society-list/,">web.archive.org/web/20130430203038abet.org/member-society-list/, 2013-04-30, live, 26 April 2013, In the United States, financial engineering programs are accredited by the International Association of Quantitative Finance.WEB,iaqf.org/, {title},web.archive.org/web/20180613172851/https://www.iaqf.org/, 2018-06-13, live, 2018-08-21, Quantitative analyst (“Quant“) is a broad term that covers any person who uses math for practical purposes, including financial engineers. Quant is often taken to mean “financial quant”, in which case it is similar to financial engineer.Espen Gaarder Haug, Derivatives Models on Models, Wiley (July 24, 2007) 978-0470013229 The difference is that it is possible to be a theoretical quant, or a quant in only one specialized niche in finance, while “financial engineer” usually implies a practitioner with broad expertise.Richard R. Lindsey and Barry Schachter (editors), How I Became a Quant: Insights from 25 of Wall Street’s Elite, Wiley (August 3, 2009) 978-0470452578“Rocket scientist” (aerospace engineer) is an older term, first coined in the development of rockets in WWII (Wernher von Braun), and later, the NASA space program; it was adapted by the first generation of financial quants who arrived on Wall Street in the late 1970s and early 1980s.Emanuel Derman, My Life as a Quant: Reflections on Physics and Finance, Wiley (September 16, 2004) 978-0471394204 While basically synonymous with financial engineer, it implies adventurousness and fondness for disruptive innovation.Aaron Brown, Red-Blooded Risk: The Secret History of Wall Street, Wiley (October 11, 2011) 978-1118043868 Financial “rocket scientists” were usually trained in applied mathematics, statistics or finance and spent their entire careers in risk-taking.Aaron Brown, The Poker Face of Wall Street, Wiley (March 31, 2006) 978-0470127315 They were not hired for their mathematical talents, they either worked for themselves or applied mathematical techniques to traditional financial jobs. The later generation of financial engineers were more likely to have PhDs in mathematics, physics, electrical and computer engineering, and often started their careers in academics or non-financial fields.Dan Stefanica, A Primer for the Mathematics of Financial Engineering, FE Press (April 4, 2008) 978-0979757600Akansu, Ali N.; Kulkarni, Sanjeev R.; Malioutov, Dmitry M., Eds. (2016), Financial Signal Processing and Machine Learning, Hoboken, NJ: Wiley-IEEE Press, {{ISBN|978-1-118-74567-0}}

Criticisms

{{See also|Financial mathematics#Criticism|Financial economics#Challenges and criticism}}One of the prominent critics of financial engineering is Nassim Taleb, a professor of financial engineering at Polytechnic Institute of New York UniversityNassim Nicholas Taleb, The Black Swan: The Impact of the Highly Improbable, Random House (April 17, 2007) 978-1400063512 who argues that it replaces common sense and leads to disaster. A series of economic collapses has led many governments to argue a return to “real” engineering from financial engineering.A gentler criticism came from Emanuel DermanEmanuel Derman, Models.Behaving.Badly.: Why Confusing Illusion with Reality Can Lead to Disaster, on Wall Street and in Life, Free Press (July 24, 2012) 978-1439164990 who heads a financial engineering degree program at Columbia University. He blames over-reliance on models for financial problems; see Financial Modelers’ Manifesto.Many other authors have identified specific problems in financial engineering that caused catastrophes:

• Aaron BrownWEB,www.minyanville.com/business-news/markets/articles/quants-quant-traders-trading-quantitative-traders/7/9/2012/id/42227, Whodunit? Rocket Scientists on Wall Street, Minyanville, 2012-07-22,www.minyanville.com/business-news/markets/articles/quants-quant-traders-trading-quantitative-traders/7/9/2012/id/42227," title="web.archive.org/web/20120711201635www.minyanville.com/business-news/markets/articles/quants-quant-traders-trading-quantitative-traders/7/9/2012/id/42227,">web.archive.org/web/20120711201635www.minyanville.com/business-news/markets/articles/quants-quant-traders-trading-quantitative-traders/7/9/2012/id/42227, 2012-07-11, live, named confusion between quants and regulators over the meaning of “capital”
• Felix SalmonNEWS,www.wired.com/techbiz/it/magazine/17-03/wp_quant?currentPage=all, Recipe for Disaster: The Formula that Killed Wall Street, Wired, 2012-07-22, February 23, 2009,www.wired.com/techbiz/it/magazine/17-03/wp_quant?currentPage=all," title="web.archive.org/web/20120726220713www.wired.com/techbiz/it/magazine/17-03/wp_quant?currentPage=all,">web.archive.org/web/20120726220713www.wired.com/techbiz/it/magazine/17-03/wp_quant?currentPage=all, 2012-07-26, live, gently pointed to the Gaussian copula (see {{sectionlink|David X. LiCDOs and Gaussian copula}})
• Ian StewartNEWS,www.theguardian.com/science/2012/feb/12/black-scholes-equation-credit-crunch, The Mathematical Equation that Caused the Banks to Crash, Wired, 2012-07-22, London, Ian, Stewart, February 12, 2012,www.theguardian.com/science/2012/feb/12/black-scholes-equation-credit-crunch," title="web.archive.org/web/20130927060129www.theguardian.com/science/2012/feb/12/black-scholes-equation-credit-crunch,">web.archive.org/web/20130927060129www.theguardian.com/science/2012/feb/12/black-scholes-equation-credit-crunch, 2013-09-27, live, criticized the Black-Scholes formula
• Pablo Triana< Pablo Triana, The Number That Killed Us: A Story of Modern Banking, Flawed Mathematics, and a Big Financial Crisis ‘’, Wiley (December 6, 2011) 978-0470529737 (along with others including Taleb and Brown) dislikes value at risk
• Scott Patterson< Scott Patterson, The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly Destroyed It, Crown Business (February 2, 2010) 978-0307453372< Scott Patterson, Dark Pools: High-Speed Traders, A.I. Bandits, and the Threat to the Global Financial System, Crown Business (June 12, 2012) 978-0307887177 accused quantitative traders and later high-frequency traders.

The financial innovation often associated with financial engineers was mocked by former chairman of the Federal Reserve Paul Volcker in 2009 when he said it was a code word for risky securities, that brought no benefits to society. For most people, he said, the advent of the ATM was more crucial than any asset-backed bond.NEWS,uk.reuters.com/article/usa-economy-volcker-idUKN2029103720090220, Crisis may be worse than Depression, Volcker says, Feb 20, 2009, Reuters, 2013-09-05,uk.reuters.com/article/2009/02/20/usa-economy-volcker-idUKN2029103720090220," title="web.archive.org/web/20130928083853uk.reuters.com/article/2009/02/20/usa-economy-volcker-idUKN2029103720090220,">web.archive.org/web/20130928083853uk.reuters.com/article/2009/02/20/usa-economy-volcker-idUKN2029103720090220, 2013-09-28, live,

Education

{{Further |Outline of finance #Education|Quantitative analysis (finance) #Education}}The first Master of Financial Engineering degree programs were set up in the early 1990s. The number and size of programs has grown rapidly, to the extent that some now use the term “financial engineer” to refer to a graduate in the field. The financial engineering program at New York University Polytechnic School of Engineering was the first curriculum to be certified by the International Association of Financial Engineers.WEB,www.poly.edu/academics/departments/finance, {title}, 2013-04-25,www.poly.edu/academics/departments/finance," title="web.archive.org/web/20130410150319www.poly.edu/academics/departments/finance,">web.archive.org/web/20130410150319www.poly.edu/academics/departments/finance, 2013-04-10, live, WEB,archive.poly.edu/fe/people/faculty/adjunct/index.php, The Department of Finance and Risk Engineering, Polytechnic Institute of NYU, 2012-05-09,engineering.nyu.edu/academics/departments/finance?old=fe%2Fpeople%2Ffaculty%2Fadjunct%2Findex.php," title="web.archive.org/web/20140104064953engineering.nyu.edu/academics/departments/finance?old=fe%2Fpeople%2Ffaculty%2Fadjunct%2Findex.php,">web.archive.org/web/20140104064953engineering.nyu.edu/academics/departments/finance?old=fe%2Fpeople%2Ffaculty%2Fadjunct%2Findex.php, 2014-01-04, live, The number, and variation, of these programs has grown over the decades subsequent (see {{sectionlink|Master of Quantitative_Finance#History}}); and lately includes undergraduate study, as well as designations such as the Certificate in Quantitative Finance.

See also

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• Actuarial science
• Computational finance
• Financial modeling
• List of finance topics
• Mathematical finance
• Quantitative analyst
• QuantLib

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References

{{Reflist}}

Further reading

• BOOK, Beder, Tanya S., Marshall, Cara M., Financial Engineering: The Evolution of a Profession, John Wiley & Sons, 2011,

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