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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. Typically, then, financial modeling is understood ...
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 ...
IFRS 9 began as a joint project between IASB and the Financial Accounting Standards Board (FASB), which promulgates accounting standards in the United States. The boards published a joint discussion paper in March 2008 proposing an eventual goal of reporting all financial instruments at fair value, with all changes in fair value reported in net income (FASB) or profit and loss (IASB). [1]
Essentially, the Monte Carlo method solves a problem by directly simulating the underlying (physical) process and then calculating the (average) result of the process. [ 1 ] This very general approach is valid in areas such as physics, chemistry, computer science etc. In finance, the Monte Carlo method is used to simulate the various sources of ...
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.
Current Expected Credit Losses (CECL) is a credit loss accounting standard (model) that was issued by the Financial Accounting Standards Board (FASB) on June 16, 2016. [ 1 ] CECL replaced the previous Allowance for Loan and Lease Losses (ALLL) accounting standard. The CECL standard focuses on estimation of expected losses over the life of the ...
LIBOR market model. The LIBOR market model, also known as the BGM Model (Brace Gatarek Musiela Model, in reference to the names of some of the inventors) is a financial model of interest rates. [1] It is used for pricing interest rate derivatives, especially exotic derivatives like Bermudan swaptions, ratchet caps and floors, target redemption ...
The single-index model (SIM) is a simple asset pricing model to measure both the risk and the return of a stock. The model has been developed by William Sharpe in 1963 and is commonly used in the finance industry. Mathematically the SIM is expressed as: where: These equations show that the stock return is influenced by the market (beta), has a ...
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