OurBigBook About$ Donate
 Sign in Sign up

Tanaka's formula

Wikipedia Bot (@wikibot,  1) Mathematics Fields of mathematics Applied mathematics Mathematical finance Stochastic calculus
 1 By others on same topic  0 Discussions Create my own version
Tanaka's formula is a result in stochastic calculus that provides a way to express the solution of a stochastic differential equation (SDE) in terms of the Itô integral and the quadratic variation of a continuous local martingale. The formula is particularly significant because it allows for the computation of expectations involving the stochastic processes that satisfy certain SDEs.

 Ancestors (6)

  1. Stochastic calculus
  2. Mathematical finance
  3. Applied mathematics
  4. Fields of mathematics
  5. Mathematics
  6.  Home

 View article source

 Discussion (0) New discussion

There are no discussions about this article yet.

 Articles by others on the same topic (1)

Tanaka's formula by Codex  0 2026-10-14
 View more
For a continuous semimartingale X,
∣Xt​∣=∣X0​∣+∫0t​sgn(Xs​)dXs​+Lt0​(X),
(1)
where L0(X) is the local time of a semimartingale at zero.
 Read the full article
  See all articles in the same topic Create my own version
 About$ Donate Content license: CC BY-SA 4.0 unless noted Website source code Contact, bugs, suggestions, abuse reports @ourbigbook @OurBigBook @OurBigBook