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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.
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.
Additionally, financial instruments that have prices that are partly dependent on theoretical models of one kind or another are difficult to value and this generates valuation risk. For example, options are generally valued using the Black–Scholes model while the liabilities of life assurance firms are valued using the theory of present value.
Bachelier model; Barone-Adesi and Whaley; Binomial options pricing model; Bjerksund and Stensland; Black model; Black–Derman–Toy model; Black–Karasinski model; Black–Litterman model; Black–Scholes equation; Black–Scholes model; Black's approximation; Bootstrapping (finance) Brace-Gatarek-Musiela model; Brownian model of financial ...
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 ...
Financial econometrics is the application of statistical methods to financial market data. [1] Financial econometrics is a branch of financial economics , in the field of economics . Areas of study include capital markets, [ 2 ] financial institutions, corporate finance and corporate governance.
Financial analyst generally, and esp. § Qualification, discussing various investment, banking, and corporate roles (i.e. financial management, corporate finance, investment banking, securities analysis & valuation, portfolio & investment management, credit analysis, working capital & treasury management; see Financial modeling § Accounting)
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.