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Computational finance is a branch of applied computer science that deals with problems of practical interest in finance. [1] Some slightly different definitions are the study of data and algorithms currently used in finance [ 2 ] and the mathematics of computer programs that realize financial models or systems .
It is about translating a set of hypotheses about the behavior of markets or agents into numerical predictions. [2] At the same time, "financial modeling" is a general term that means different things to different users; the reference usually relates either to accounting and corporate finance applications or to quantitative finance applications.
Monte Carlo methods are used in corporate finance and mathematical finance to value and analyze (complex) instruments, portfolios and investments by simulating the various sources of uncertainty affecting their value, and then determining the distribution of their value over the range of resultant outcomes.
In finance, the binomial options pricing model (BOPM) provides a generalizable numerical method for the valuation of options.Essentially, the model uses a "discrete-time" (lattice based) model of the varying price over time of the underlying financial instrument, addressing cases where the closed-form Black–Scholes formula is wanting, which in general does not exist for the BOPM [1].
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 ...
Mathematical finance, also known as quantitative finance and financial mathematics, is a field of applied mathematics, concerned with mathematical modeling in the financial field. In general, there exist two separate branches of finance that require advanced quantitative techniques: derivatives pricing on the one hand, and risk and portfolio ...
Introduction to the Numerical Solution of Partial Differential Equations in Finance, Claus Munk, University of Aarhus; Numerical Methods for the Valuation of Financial Derivatives Archived 2011-10-05 at the Wayback Machine, D.B. Ntwiga, University of the Western Cape; The Finite Difference Method, Katia Rocha, Instituto de Pesquisa Econômica ...
Computational economics uses computer-based economic modeling to solve analytically and statistically formulated economic problems. A research program, to that end, is agent-based computational economics (ACE), the computational study of economic processes, including whole economies, as dynamic systems of interacting agents. [4]
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