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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
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