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One area where ACE methodology has frequently been applied is asset pricing. W. Brian Arthur, Eric Baum, William Brock, Cars Hommes, and Blake LeBaron, among others, have developed computational models in which many agents choose from a set of possible forecasting strategies in order to predict stock prices, which affects their asset demands and thus affects stock prices.
Financial modeling is the task of building an abstract representation (a model) of a real world financial situation. [1] This is a mathematical model designed to represent (a simplified version of) the performance of a financial asset or portfolio of a business, project , or any other investment.
Fama–French three-factor model; Fama–MacBeth regression; Financial Modelers' Manifesto; Financial modeling; Financial models with long-tailed distributions and volatility clustering; Fuzzy pay-off method for real option valuation
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). [13] 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 ...
Financial risk modeling is the use of formal mathematical and econometric techniques to measure, monitor and control the market risk, credit risk, and operational risk on a firm's balance sheet, on a bank's accounting ledger of tradeable financial assets, or of a fund manager's portfolio value; see Financial risk management.
The general structure of any financial model is standard: (i) input (ii) calculation algorithm (iii) output; see Financial forecast.While the output for a project finance model is more or less uniform, and the calculation is predetermined by accounting rules, the input is highly project-specific.
The Brownian motion models for financial markets are based on the work of Robert C. Merton and Paul A. Samuelson, as extensions to the one-period market models of Harold Markowitz and William F. Sharpe, and are concerned with defining the concepts of financial assets and markets, portfolios, gains and wealth in terms of continuous-time stochastic processes.
Cont is known in mathematics for his the "Causal functional calculus", a calculus for non-anticipative, or "causal", functionals on the space of paths. [29] Cont and collaborators built on the seminal work of German mathematician Hans Föllmer [30] and Bruno Dupire to construct a calculus for non-anticipative functionals, [31] which includes as a special case the so-called Ito-Föllmer ...