Computational finance is a branch of applied computer science that deals with problems of practical interest in finance. Some slightly different definitions are the study of data and algorithms currently used in finance and the mathematics of computer programs that realize financial models or systems.
Computational finance emphasizes practical numerical methods rather than mathematical proofs and focuses on techniques that apply directly to economic analyses. It is an interdisciplinary field between mathematical finance and numerical methods. Two major areas are efficient and accurate computation of fair values of financial securities and the modeling of stochastic price series.
The birth of computational finance as a discipline can be traced to Harry Markowitz in the early 1950s. Markowitz conceived of the portfolio selection problem as an exercise in mean-variance optimization. This required more computer power than was available at the time, so he worked on useful algorithms for approximate solutions. Mathematical finance began with the same insight, but diverged by making simplifying assumptions to express relations in simple closed forms that did not require sophisticated computer science to evaluate.
In the 1960s, hedge fund managers such as Ed Thorp and Michael Goodkin (working with Harry Markowitz, Paul Samuelson and Robert C. Merton) pioneered the use of computers in arbitrage trading. In academics, sophisticated computer processing was needed by researchers such as Eugene Fama in order to analyze large amounts of financial data in support of the efficient-market hypothesis.
During the 1970s, the main focus of computational finance shifted to options pricing and analyzing mortgage securitzations. In the late 1970s and early 1980s, a group of young quantitative practitioners who became known as “rocket scientists” arrived on Wall Street and brought along personal computers. This led to an explosion of both the amount and variety of computational finance applications. Many of the new techniques came from signal processing and speech recognition rather than traditional fields of computational economics like optimization and time series analysis.
By the end of the 1980s, the winding down of the Cold War brought a large group of displaced physicists and applied mathematicians, many from behind the Iron Curtain, into finance. These people become known as “financial engineers” (“quant” is a term that includes both rocket scientists and financial engineers, as well as quantitative portfolio managers). This led to a second major extension of the range of computational methods used in finance, also a move away from personal computers to mainframes and supercomputers. Around this time computational finance became recognized as a distinct academic subfield. The first degree program in computational finance was offered by Carnegie Mellon University in 1994.
Over the last 20 years, the field of computational finance has expanded into virtually every area of finance, and the demand for practitioners has grown dramatically. Moreover, many specialized companies have grown up to supply computational finance software and services.
Applications of Computational Finance 
- Algorithmic Trading
- Quant Trading
- High Performance Trading
- High Frequency Trading
Algorithmic Trading Platform 
- Interactive Brokers
- Ninja Traders
- FIX Protocol
- Open Gamma
Masters programs in computational finance 
- Carnegie Mellon University - Tepper School, MS Computational Finance
- Rice University, Master of Statistics with concentration in Computational Finance
- DePaul University, MS Computational Finance
- Georgia Institute of Technology, MS Quantitative and Computational Finance
- Leicester University, MSc Financial Mathematics & Computation
- Oxford University, MSc Mathematical & Computational Finance
- Purdue University - Krannert School, MBA with specialization in Computational Finance
- Purdue University, MS Mathematics with specialization in Computational Finance
- Purdue University, MS Statistics with specialization in Computational Finance
- Université de Montreal, MSc Financial Mathematics & Computational Finance
- University of Essex, MSc Agent Based Computational Economics & E-Markets
- University of Essex, MSc Computational Finance
- University of Essex, MSc Financial Software Engineering
- University of Greenwich, MSc Computational Finance
- University of Limerick - Kemmy School, MSc Computational Finance
- University of Washington, MS Computational Finance and Risk Management
- Institute of Mathematics and Applications,India,Msc Computational Finance
In addition, computational finance may be offered as a specialization in other degree programs.
See also 
- List of finance topics
- Quantitative analyst
- List of quantitative analysts
- Mathematical finance
- Algorithmic Trading
- Master of Computational Finance
- Financial reinsurance
- Financial modeling
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- "Computational Finance and Research Laboratory". University of Essex. Retrieved 2012-07-21.
- Cornelis A. Los, Computational Finance World Scientific Pub Co Inc (December 2000) 978-9810244972
- Mario J. Miranda and Paul L. Fackler, Applied Computational Economics and Finance, The MIT Press (September 16, 2002) 978-0262134200
- Omur Ugur, Introduction to Computational Finance, Imperial College Press (December 22, 2008) 978-1848161924
- Jin-Chuan Duan, Wolfgang Karl Härdle and James E. Gentle (editors), Handbook of Computational Finance, Springer (October 25, 2011) 978-3642172533
- Harry M. Markowitz, Portfolio Selection: Efficient Diversification of Investments, Wiley, second edition (September 3, 1991) 978-1557861085
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- William Poundstone, Fortune's Formula: The Untold Story of the Scientific Betting System That Beat the Casinos and Wall Street, Hill and Wang (September 19, 2006) 978-0809045990
- Michael Goodkin, The Wrong Answer Faster: The Inside Story of Making the Machine that Trades Trillions, Wiley, (February 21, 2012) 978-1118133408
- Aaron Brown, Red-Blooded Risk: The Secret History of Wall Street, Wiley (October 11, 2011) 978-1118043868
- John F. Ehlers, Rocket Science for Traders, Wiley (July 20, 2001) 978-0471405672
- Aaron Brown, The Poker Face of Wall Street, Wiley (March 31, 2006) 978-0470127315
- "Center for Computational Finance". Carnegie Mellon University. Retrieved 2012-07-21.
- IEEE Computational Finance and Economics Technical Committee
- An Introduction to Computational Finance without Agonizing Pain
- Introduction to Computational Finance, IEEE Computational Intelligence Society Newsletter, August 2004
- Numerical Techniques for Options
- Monte Carlo Simulation of Stochastic Processes
- Centre for Computational Finance and Economic Agents (CCFEA)