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Fiscal math is the branch of applied mathematics concerned with a financial markets. a subject naturally has a close relationship by using the discipline of financial economics, however a subject is narrower around scope & supplementary abstract. the central difference is that when the fiscal economic expert might survey the structural reasons how come a company may have a certain share price, a mathematician could require a part price as a precondition, & attempt to apply stochastic calculus to obtain the fair value of derivatives of the stock.

Financial mathematics articles

Mathematical tools
Probability Probability distribution Binomial distribution Log-normal distribution Expected value Value at risk Risk-neutral measure Stochastic calculus Brownian motion Itô's lemma Girsanov's theorem Radon-Nikodym derivative Monte Carlo method Partial differential equations Heat equation Martingale representation theorem Feynman Kac Formula Dynkin formula Stochastic differential equations Volatility ARCH model GARCH model Mathematical model Numerical method

Derivatives pricing
Rational pricing assumptions Risk neutral valuation Arbitrage-free pricing Futures Futures contract pricing Options Put-call parity (Arbitrage relationships for options) Moneyness Option time value Pricing models Black-Scholes Black model Binomial options model Implied volatility Volatility smile The Greeks Interest rate derivatives Short rate model Hull-White model Brace-Gatarek-Musiela model Heath-Jarrow-Morton framework

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Mathematical economics Extreme value theory

Stock Options - Animated Tutorial and Analytics
An animated introduction to the Black--Scholes theorem. Includes graphs.

Balducci's Actuarial Home Page
Mainly links.

Devlin's Angle: A Nobel Formula
Article on the Black-Scholes theorem.

Derivatives Concepts A-Z
A glossary of derivatives-related terminology.

Sidebar on Black-Scholes for Risk Management
Working paper by Philip H. Dybvig and William J. Marshall.

Software for EMM (Efficient Method of Moments)
Code and User's Guide for EMM are freely available. Posted versions contain worked examples for estimation of continuous time stochastic differential equations for the short-term interest rate and stock prices.

Society for Nonlinear Dynamics and Econometrics
The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective.

Journal of Finance: Other Finance Related Sites
Web links for those interested in understanding and teaching financial ideas.

Cambridge Econometrics - Econometrics Training Services
A flexible portfolio of econometrics training courses designed to meet the needs of business, government and academia.

A Calculus of Risk
Article by Gary Stix.


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