Financial mathematics

Financial mathematics is the branch of applied mathematics concerned with the financial markets. The subject naturally has a close relationship with the discipline of financial economics, however the subject is narrower in scope and more abstract. A central difference is that whilst a financial economist might study the structural reasons why a company may have a certain share price, a mathematician may take the share price as a given, and attempt to use stochastic calculus to obtain the fair value of derivatives of the stock.

Financial mathematics articles

• Underlying financial concepts
  • Arbitrage
  • Liquidity
  • Hedging[?]
  • Time value of money
    • Present value
    • Future value[?]
  • Financial Markets
  • Commodities
    • Commodity markets
  • Securities
    • Capital markets
    • Stock
    • Bond
  • Derivative securities
    • Underlying instrument
    • Derivatives market

• Mathematical tools
  • Probability
  • Expected value
  • Risk-neutral measure[?]
  • Stochastic calculus
  • Brownian motion
  • Ito's Lemma
  • Girsanov's theorem[?]
  • Radon-Nikodym derivative[?]
  • Partial differential equations

• Derivative securities
  • Forward contract
  • Futures contract
  • Options
    • Stock option
    • Warrants
    • Foreign exchange option[?]
    • Interest rate options [?]
    • Bond options[?]
    • Options on futures (see Futures)
  • Swaps[?]
    • Stock swap
    • Interest rate swap
  • Swaption[?]
  • Interest rate linked derivatives:
    • Financial future
    • LIBOR
    • BBA LIBOR
    • Forward rate agreement
    • Interest rate swap
    • Interest rate cap
    • Exotic interest rate option[?]
  • Credit derivatives[?]
    • Credit default swap[?]
    • Credit default option[?]
    • Total return swap[?]

• Options in detail
  • Puts and Calls
    • Call option
    • Put option
    • Strike price
  • Option pricing
    • Arbitrage relationships for options
    • Put-call parity
    • The Greeks
    • Black-Scholes formula
    • Black model
    • Binomial options model
    • Implied volatility
    • Option time value[?]
    • Moneyness
  • Option style
    • Vanilla option
    • Exotic option[?]
    • European option
    • Bermudan option[?]
    • American option[?]
    • Quanto option[?]
    • Asian option[?]

• Less mathematical articles
  • Bank
  • Deposit
  • Finance
  • Financial supervision
  • Financial institution
  • International Money Market
  • Hedge fund
  • Loan
  • Long-term Capital Management
  • Non-bank

• Compare
  • Mathematical economics
  • Extreme value theory

List of Marketing Topics	List of Management Topics
List of Economics Topics	List of Accounting Topics
List of Finance Topics	List of Economists

External links

• For "introductory articles covering mathematical finance" see Quantnotes: http://www.quantnotes.com/fundamentals/
• For an online "glossary, encyclopedia, and resource locator" see Riskglossary: http://www.riskglossary.com/
• For "a visual presentation of modern option pricing theory" see Option Tutor: http://secure.webstation.net/~ftsweb/texts/optiontutor/optutcontents.htm