Finance refers to monetary resources and to the study and discipline of money, currency and capital assets. As a subject of study, it is related to but distinct from economics, which is the study of the production, distribution, and consumption of goods and services. Based on the scope of financial activities in financial systems, the discipline can be divided into personal, corporate, and public finance.
Daniel Bernoulli was a Swiss mathematician and physicist and was one of the many prominent mathematicians in the Bernoulli family from Basel. He is particularly remembered for his applications of mathematics to mechanics, especially fluid mechanics, and for his pioneering work in probability and statistics. His name is commemorated in the Bernoulli's principle, a particular example of the conservation of energy, which describes the mathematics of the mechanism underlying the operation of two important technologies of the 20th century: the carburetor and the aeroplane wing.
Financial economics is the branch of economics characterized by a "concentration on monetary activities", in which "money of one type or another is likely to appear on both sides of a trade". Its concern is thus the interrelation of financial variables, such as share prices, interest rates and exchange rates, as opposed to those concerning the real economy. It has two main areas of focus: asset pricing and corporate finance; the first being the perspective of providers of capital, i.e. investors, and the second of users of capital. It thus provides the theoretical underpinning for much of finance.
Robert Cox Merton is an American economist, Nobel Memorial Prize in Economic Sciences laureate, and professor at the MIT Sloan School of Management, known for his pioneering contributions to continuous-time finance, especially the first continuous-time option pricing model, the Black–Scholes–Merton model. In 1997 Merton together with Myron Scholes were awarded the Bank of Sweden Prize in Economic Sciences in Memory of Alfred Nobel for the method to determine the value of derivatives.
Financial risk management is the practice of protecting economic value in a firm by managing exposure to financial risk - principally operational risk, credit risk and market risk, with more specific variants as listed aside. As for risk management more generally, financial risk management requires identifying the sources of risk, measuring these, and crafting plans to mitigate them. See Finance § Risk management for an overview.
Fixed income analysis is the process of determining the value of a debt security based on an assessment of its risk profile, which can include interest rate risk, risk of the issuer failing to repay the debt, market supply and demand for the security, call provisions and macroeconomic considerations affecting its value in the future. It also addresses the likely price behavior in hedging portfolios. Based on such an analysis, a fixed income analyst tries to reach a conclusion as to whether to buy, sell, hold, hedge or avoid the particular security.
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.
Emanuel Derman is a South African-born academic, businessman and writer. He is best known as a quantitative analyst, and author of the book My Life as a Quant: Reflections on Physics and Finance.
Frank J. Fabozzi is an American economist, educator, writer, and investor, currently Professor of Practice at The Johns Hopkins University Carey Business School and a Member of Edhec Risk Institute. He was previously a Professor of Finance at EDHEC Business School, Professor in the Practice of Finance and Becton Fellow in the Yale School of Management, and a Visiting Professor of Finance at the Sloan School of Management at the Massachusetts Institute of Technology. He has authored and edited many books, three of which were coauthored with Nobel laureates, Franco Modigliani and Harry Markowitz. He has been the editor of the Journal of Portfolio Management since 1986 and is on the board of directors of the BlackRock complex of closed-end funds.
The following outline is provided as an overview of and topical guide to finance:
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.
Portfolio Analysis: Advanced topics in performance measurement, risk and attribution is an industry text written by a comprehensive selection of industry experts and edited by Timothy P. Ryan. It includes chapters from practitioners and industry authors who investigate topics under the wide umbrella of performance measurement, attribution and risk management, drawing on their own experience of the fields.
David X. Li is a Chinese-born Canadian quantitative analyst and actuary who pioneered the use of Gaussian copula models for the pricing of collateralized debt obligations (CDOs) in the early 2000s. The Financial Times has called him "the world’s most influential actuary", while in the aftermath of the 2007–2008 financial crisis, to which Li's model has been partly credited to blame, his model has been called a "recipe for disaster" in the hands of those who did not fully understand his research and misapplied it. Widespread application of simplified Gaussian copula models to financial products such as securities may have contributed to the 2007–2008 financial crisis. David Li is currently an adjunct professor at the University of Waterloo in the Statistics and Actuarial Sciences department.
Performance attribution, or investment performance attribution is a set of techniques that performance analysts use to explain why a portfolio's performance differed from the benchmark. This difference between the portfolio return and the benchmark return is known as the active return. The active return is the component of a portfolio's performance that arises from the fact that the portfolio is actively managed.
Andrew Wen-Chuan Lo is a Hong Kong-born American economist and academic who is the Charles E. and Susan T. Harris Professor of Finance at the MIT Sloan School of Management. Lo is the author of many academic articles in finance and financial economics. He founded AlphaSimplex Group in 1999 and served as chairman and chief investment strategist until 2018 when he transitioned to his current role as chairman emeritus and senior advisor.
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.
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field.
Riccardo Rebonato is Professor of Finance at EDHEC Business School and EDHEC-Risk Institute, Scientific Director of the EDHEC Risk Climate Impact Institute (ERCII), and author of journal articles and books on Mathematical Finance, covering derivatives pricing, risk management, asset allocation and climate change. In 2022 he was granted the PRM Quant of the Year award for 'outstanding contributions to the field of quantitative portfolio theory'. Prior to this, he was Global Head of Rates and FX Analytics at PIMCO.
Raphael Douady is a French mathematician and economist. He holds the Robert Frey Endowed Chair for Quantitative Finance at Stony Brook, New York. He is a fellow of the Centre d’Economie de la Sorbonne, Paris 1 Pantheon-Sorbonne University, and academic director of the Laboratory of Excellence on Financial Regulation.
Svetlozar (Zari) Todorov Rachev is a professor at Texas Tech University who works in the field of mathematical finance, probability theory, and statistics. He is known for his work in probability metrics, derivative pricing, financial risk modeling, and econometrics. In the practice of risk management, he is the originator of the methodology behind the flagship product of FinAnalytica.
