# 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 derivativess of the stock.

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2 See also 3 Related articles 4 External links |

## Financial mathematics articles

### Mathematical tools

- Probability
- Probability distribution
- Expected value
- Value at risk
- Risk-neutral measure
- Stochastic calculus
- Brownian motion
- Ito's lemma
- Girsanov's theorem
- Radon-Nikodym derivative
- Monte Carlo method
- Partial differential equations
- 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

### Compare

## See also

- Financial Engineering
- Derivative securities, list of derivatives topics
- Fundamental financial concepts - topics
- Model (economics)

## Related articles

- List of finance topics, List of finance topics (alphabetical)
- List of economics topics, List of economists
- List of accounting topics
- List of marketing topics
- List of management topics

## External links

- ISDA.org - The International Swaps and Derivatives Association
- finmath.com - Financial Mathematics Bookshelf
- rmetrics.org - A R based environment for teaching financial engineering and computational finance
- Quantnotes.com - introductory articles covering mathematical finance
- Riskglossary.com - an online glossary, encyclopedia, and resource locator
- Option Tutor - a visual presentation of modern option pricing theory
- Riskworx.com - discussion of the application and theory of derivatives

General areas of finance
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Financial markets | Fund management | Financial institutions | Personal finance | Public finance | Financial mathematics | Financial economics | |