Fischer Sheffey Black was an American economist, best known as one of the authors of the Black–Scholes equation.
Financial engineering is a multidisciplinary field involving financial theory, methods of engineering, tools of mathematics and the practice of programming. It has also been defined as the application of technical methods, especially from mathematical finance and computational finance, in the practice of finance.
Financial modeling is the task of building an abstract representation of a real world financial situation. This is a mathematical model designed to represent the performance of a financial asset or portfolio of a business, project, or any other investment.
In mathematical finance, the Black–Derman–Toy model (BDT) is a popular short-rate model used in the pricing of bond options, swaptions and other interest rate derivatives; see Lattice model (finance) § Interest rate derivatives. It is a one-factor model; that is, a single stochastic factor—the short rate—determines the future evolution of all interest rates. It was the first model to combine the mean-reverting behaviour of the short rate with the log-normal distribution, and is still widely used.
In finance, a lattice model is a technique applied to the valuation of derivatives, where a discrete time model is required. For equity options, a typical example would be pricing an American option, where a decision as to option exercise is required at "all" times before and including maturity. A continuous model, on the other hand, such as Black–Scholes, would only allow for the valuation of European options, where exercise is on the option's maturity date. For interest rate derivatives lattices are additionally useful in that they address many of the issues encountered with continuous models, such as pull to par. The method is also used for valuing certain exotic options, where because of path dependence in the payoff, Monte Carlo methods for option pricing fail to account for optimal decisions to terminate the derivative by early exercise, though methods now exist for solving this problem.
A master's degree in quantitative finance is a postgraduate degree focused on the application of mathematical methods to the solution of problems in financial economics. There are several like-titled degrees which may further focus on financial engineering, computational finance, mathematical finance, and/or financial risk management.
Jonathan Edwards "Jon" Ingersoll, Jr. is an American economist. He is the Adrian C. Israel Professor of International Trade and Finance at Yale School of Management. Prior to coming to Yale he was on the faculty at the Graduate School of Business at the University of Chicago.
Jim Gatheral is a researcher in the field of mathematical finance, who has contributed to the study of volatility as applied to the pricing and risk management of derivatives. A recurrent subject in his books and papers is the volatility smile, and he published in 2006 a book The Volatility Surface based on a course he taught for six years at New York University, along with Nassim Taleb. More recently his work has moved in the direction of market microstructure, especially as applied to algorithmic trading. He is the author of The Volatility Surface: A Practitioner's Guide.
In finance, volatility is the degree of variation of a trading price series over time, usually measured by the standard deviation of logarithmic returns.
Neil A. Chriss is a mathematician, academic, hedge fund manager, philanthropist and a founding board member of the charity organization "Math for America" which seeks to improve math education in the United States. Chriss also serves on the board of trustees of the Institute for Advanced Study.
Paul Wilmott is an English researcher, consultant and lecturer in quantitative finance. He is best known as the author of various academic and practitioner texts on risk and derivatives, for Wilmott magazine and Wilmott.com, a quantitative finance portal, and for his prescient warnings about the misuse of mathematics in finance.
In finance, model risk is the risk of loss resulting from using insufficiently accurate models to make decisions, originally and frequently in the context of valuing financial securities. However, model risk is more and more prevalent in activities other than financial securities valuation, such as assigning consumer credit scores, real-time probability prediction of fraudulent credit card transactions, and computing the probability of air flight passenger being a terrorist. Rebonato in 2002 defines model risk as "the risk of occurrence of a significant difference between the mark-to-model value of a complex and/or illiquid instrument, and the price at which the same instrument is revealed to have traded in the market".
Fabio Mercurio is an Italian mathematician, internationally known for a number of results in mathematical finance.
The Financial Modelers' Manifesto was a proposal for more responsibility in risk management and quantitative finance written by financial engineers Emanuel Derman and Paul Wilmott. The manifesto includes a Modelers' Hippocratic Oath. The structure of the Financial Modelers' Manifesto mirrors that of The Communist Manifesto of 1848.
José Alexandre Scheinkman is a Brazilian economist, currently the Charles and Lynn Zhang Professor of Economics at Columbia University and the Theodore A. Wells '29 Professor of Economics Emeritus at Princeton University. He spent much of his career at the University of Chicago, where he served as department chair immediately prior to his departure for Princeton. He is best known for his work in mathematical economics and finance, oligopoly theory and the social economics of cities and crime; he also helped spur the development of work at the intersection of economics, finance and physics. Scheinkman also famously pioneered the now-ubiquitous application of academic financial theory to practical risk management of fixed incomes during a leave he took as Vice President in the Financial Strategies Group at Goldman, Sachs & Co. during the late 1980s.
Quantitative analysis is the use of mathematical and statistical methods in finance and investment management. Those working in the field are quantitative analysts (quants). Quants tend to specialize in specific areas which may include derivative structuring or pricing, risk management, investment management and other related finance occupations. The occupation is similar to those in industrial mathematics in other industries. The process usually consists of searching vast databases for patterns, such as correlations among liquid assets or price-movement patterns.
Steven "Steve" L. Heston is an American mathematician, economist, and financier. He's also prominently active in the field of gambling-related research, where he sometimes uses the pen name Kim Lee.
Piotr Karasinski is a pioneering quantitative analyst, best known for the Black–Karasinski short-rate model which he co-developed with the late Fischer Black. His contributions to quantitative finance include models for interest rates, equity and hybrid products and random volatility.
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling of financial markets.
