MATH 530 Mathematics of Finance
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This MATH 530 Mathematics of Finance course describes the mathematical development of both the theoretical and therefore the computational techniques want to analyze financial instruments. Specific subjects contain utility purposes; forwards, futures, and swaps; and modelling of derivatives and rigorous mathematical analysis of the models, both theoretically and computationally. It develops the needed specified ideas from partial differential equations and numerical analysis. Mathematical finance, also referred to as quantitative finance and financial mathematics, may be a field of applied math, concerned with mathematical modelling of monetary markets. Usually, mathematical economics will instigate and spread the mathematical or numerical models without essentially creating a link to financial concept, taking practical market prices as input. Mathematical consistency is required, not compatibility with theory. Thus, for instance, while a financial economist might study the structural reasons why a corporation may have a particular share price, a financial mathematician may take the share price as a given, and plan to use stochastic calculus to get the corresponding value of derivatives of the stock.
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