A stochastic calculus question

Click For Summary
SUMMARY

The discussion centers on a stochastic calculus question regarding the equation dSdS = sigma²S²dt. Participants clarify that this equation arises from Itô's lemma, which is fundamental in stochastic calculus. The sigma represents volatility, and S denotes the asset price. Understanding this relationship is crucial for applying stochastic models in finance.

PREREQUISITES
  • Itô's lemma in stochastic calculus
  • Understanding of stochastic differential equations (SDEs)
  • Basic concepts of financial modeling
  • Familiarity with volatility measures in finance
NEXT STEPS
  • Study Itô's lemma and its applications in finance
  • Explore stochastic differential equations (SDEs) in depth
  • Learn about volatility modeling techniques in financial markets
  • Review practical examples of asset pricing using stochastic calculus
USEFUL FOR

Students and professionals in finance, quantitative analysts, and anyone interested in applying stochastic calculus to financial modeling.

tennishaha
Messages
21
Reaction score
0
In the attached equations,

for the second last step to the last step
why dSdS=sigma2S2dt ?
 

Attachments

  • pic02.jpg
    pic02.jpg
    5.8 KB · Views: 485
Physics news on Phys.org
I could not get picture.
 

Similar threads

Undergrad Stochastic calculus: Ito's lemma and differentials
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Question about ARMA process: Changing a Stochastic Process into a Transfer Function
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Stopping Time in layman's words
  • · Replies 6 ·
Replies
6
Views
3K
Graduate Karhunen–Loève theorem expansion random variables
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Are Chaotic and Stochastic processes related?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad About stochastic differential equation and probability density
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Stochastic differential equations with time uncertainty....
  • · Replies 7 ·
Replies
7
Views
2K
Undergrad Probability of a Stochastic Markov process
  • · Replies 1 ·
Replies
1
Views
2K
Undergrad Looking for text on stochastic processes
  • · Replies 5 ·
Replies
5
Views
2K
Insights Brownian Motions and Quantifying Randomness in Physical Systems
  • · Replies 1 ·
Replies
1
Views
10K