Outline of finance


The following outline provides an overview and topical guide to finance:
Finance – the field concerned with how individuals, businesses, and organizations raise, allocate, and manage monetary resources over time, while accounting for the risks associated with their activities and investments.

Overview

The term finance may incorporate any of the following:
  • The study of money and other assets
  • The management and control of those assets
  • Profiling and managing related risks

    Fundamental financial concepts

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    History

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  • Vix pervenit 1745, on usury and other dishonest profit
  • Post-World War I hyperinflation; see
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  • Finance terms by field

Accounting (financial record keeping)

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    Banking

  • See articles listed under:

    Corporate finance

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  • Financial management
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    Investment management

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  • Personal finance

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  • Credit and debt
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  • * Canada
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  • * United Kingdom
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  • * United States
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  • Public finance

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  • Risk management

  • Downside risk & Upside risk
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  • * Computation
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  • * Alternate measures
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  • * Extensions
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  • Constraint finance

  • Insurance

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  • * Credit insurance
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  • Economics and finance

Finance-related areas of economics

  • Corporate finance theory

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  • *Uncertainty
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  • Risk management
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    Asset pricing theory

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  • *#Underlying theory below
  • Financial markets
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  • Arbitrage-free price
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  • *Complete market & Incomplete markets
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  • Asset pricing models

  • Equilibrium pricing
  • *Equities; foreign exchange and commodities
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  • *Bonds; other interest rate instruments
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  • Risk neutral pricing
  • *Equities; foreign exchange and commodities; interest rates
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  • *Bonds; other interest rate instruments
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    Mathematics and finance

Time value of money

Mathematical tools

  • Probability
  • *Probability distribution
  • **Binomial distribution
  • **Log-normal distribution
  • **Poisson distribution
  • Stochastic calculus
  • *Brownian motion
  • **Geometric Brownian motion
  • *Cameron–Martin theorem
  • *Feynman-Kac formula
  • *Girsanov's theorem
  • *Itô's lemma
  • *Martingale representation theorem
  • *Radon–Nikodym derivative
  • *Stochastic differential equations
  • *Stochastic process
  • **Jump process
  • **Lévy process
  • **Markov process
  • **Ornstein–Uhlenbeck process
  • **Wiener process
  • Monte Carlo methods
  • *Low-discrepancy sequence
  • *Monte Carlo integration
  • *Quasi-Monte Carlo method
  • *Random number generation
  • Partial differential equations
  • *Finite difference method
  • *Heat equation
  • *Numerical partial differential equations
  • **Crank–Nicolson method
  • Volatility
  • *ARCH model
  • *GARCH model
  • *Stochastic volatility
  • *Stochastic volatility jump

    Derivatives pricing

  • Underlying logic
  • * Rational pricing
  • **Risk-neutral measure
  • **Arbitrage-free pricing
  • *Brownian model of financial markets
  • *Martingale pricing
  • Forward contract
  • *Forward contract pricing
  • Futures
  • *Futures contract pricing
  • Options
  • *Valuation of options
  • * Black–Scholes formula
  • ** Approximations for American options
  • ***Barone-Adesi and Whaley
  • ***Bjerksund and Stensland
  • ***Black's approximation
  • ***Optimal stopping
  • ***Roll–Geske–Whaley
  • * Black model
  • * Binomial options model
  • * Finite difference methods for option pricing
  • * Garman–Kohlhagen model
  • * The Greeks
  • * Lattice model
  • * Margrabe's formula
  • * Monte Carlo methods for option pricing
  • **Monte Carlo methods in finance
  • **Quasi-Monte Carlo methods in finance
  • **Least Square Monte Carlo for American options
  • * Trinomial tree
  • * Volatility
  • ** Implied volatility
  • ** Historical volatility
  • ** Volatility smile
  • ** Stochastic volatility
  • *** Constant elasticity of variance model
  • *** Heston model
  • *** SABR volatility model
  • ** Local volatility
  • ***Implied binomial tree
  • ***Implied trinomial tree
  • ***Edgeworth binomial tree
  • ***Johnson binomial tree
  • Swaps
  • *Swap valuation
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  • ***Multi-curve framework
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  • Interest rate derivatives
  • *Black model
  • **caps and floors
  • **swaptions
  • **Bond options
  • *Short-rate models
  • **Rendleman–Bartter model
  • **Vasicek model
  • **Ho–Lee model
  • **Hull–White model
  • **Cox–Ingersoll–Ross model
  • **Black–Karasinski model
  • **Black–Derman–Toy model
  • **Kalotay–Williams–Fabozzi model
  • **Longstaff–Schwartz model
  • **Chen model
  • *Forward rate / Forward curve -based models
  • **LIBOR market model
  • **Heath–Jarrow–Morton Model
  • **Cheyette model
  • Valuation adjustments
  • *Credit valuation adjustment
  • *XVA
  • Yield curve modelling
  • *Multi-curve framework
  • *Bootstrapping
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  • *Nelson-Siegel
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    Portfolio mathematics

  • #Mathematical techniques below
  • #Quantitative investing below
  • Portfolio optimization
  • *§ Optimization methods
  • *§ Mathematical tools
  • Merton's portfolio problem
  • Kelly criterion
  • Roy's safety-first criterion
  • Specific applications:
  • *Black–Litterman model
  • *Universal portfolio algorithm
  • *Markowitz model
  • *Treynor–Black model

    Financial markets

Market and instruments