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The flow of net fixed investment is the time derivative of the capital stock. The flow of inventory investment is the time derivative of the stock of inventories. The growth rate of the money supply is the time derivative of the money supply divided by the money supply itself. Sometimes the time derivative of a flow variable can appear in a model:
Statements of Financial Accounting Standards No. 133, Accounting for Derivative Instruments and Hedging Activities, commonly known as FAS 133, is an accounting standard issued in June 1998 by the Financial Accounting Standards Board (FASB) that requires companies to measure all assets and liabilities on their balance sheet at “fair value”.
The higher-order derivative test or general derivative test is able to determine whether a function's critical points are maxima, minima, or points of inflection for a wider variety of functions than the second-order derivative test. As shown below, the second-derivative test is mathematically identical to the special case of n = 1 in the ...
Mass flow rate is defined by the limit [3] [4] ˙ = =, i.e., the flow of mass through a surface per time .. The overdot on ˙ is Newton's notation for a time derivative.Since mass is a scalar quantity, the mass flow rate (the time derivative of mass) is also a scalar quantity.
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.
The accounting term Hedge relationship relates to the treatment of an insurance contract for risk mitigation on an underlying asset, and the set of tests for the valuation of this insurer/insuree contract. [1]
The relationship must hold for all times t: therefore the processes used for derivatives pricing are naturally set in continuous time. The quants who operate in the Q world of derivatives pricing are specialists with deep knowledge of the specific products they model.
For a system of particles with masses , with coordinates = that constitute a time-dependent random variable, the resulting Langevin equation is [2] [3] ¨ = ˙ + (), where () is the particle interaction potential; is the gradient operator such that () is the force calculated from the particle interaction potentials; the dot is a time derivative ...