Black–Scholes equation

id: black-scholes-equation-207-14945063
title: Black–Scholes equation
text: In mathematical finance, the Black–Scholes equation, also called the Black–Scholes–Merton equation, is a partial differential equation (PDE) governing the price evolution of derivatives under the Black–Scholes model. Broadly speaking, the term may refer to a similar PDE that can be derived for a variety of options, or more generally, derivatives. Consider a stock paying no dividends. Now construct any derivative that has a fixed maturation time T in the future, and at maturation, it has payoff K
brand slug: wiki
category slug: encyclopedia
description: Partial differential equation in mathematical finance
original url: https://en.wikipedia.org/wiki/Black%E2%80%93Scholes_equation
date created: 2008-05-28T17:17:20Z
date modified: 2024-09-11T05:41:46Z
main entity: {"identifier":"Q17005676","url":"https://www.wikidata.org/entity/Q17005676"}
image: {"content_url":"https://upload.wikimedia.org/wikipedia/commons/d/dc/Black-Scholes_surface_plot_with_random_paths.svg","width":900,"height":900}
fields total: 13
integrity: 16

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