New posts in stochastic-calculus

Girsanov: Change of drift, that depends on the process

Show $\sigma_{X}^{2}(t)=\begin{cases} x_{0}\frac{\beta}{\alpha}e^{\alpha t}[e^{\alpha t}-1], & \alpha \neq 0\\ x_{0}\beta t, & \alpha = 0 \end{cases}$

Solving a stochastic differential equation with trigonometric functions

How to compute $E[W_t^4]$, with $W_t$ being a standard Wiener process

Calculate $\mathbb{E}(W_t^k)$ for a Brownian motion $(W_t)_{t \geq0}$ using Itô's Lemma

What is the difference between "filtration for a Brownian motion" and "filtration generated by a Brownian motion"?

Different versions of Girsanov theorems?

Solution to General Linear SDE

Covariance of Gaussian stochastic process

Brownian Motion and stochastic integration on the complete real line

Higher math and statistics/probability

Is an SDE really equal to an integral equation, or is it rather "its integral" that is?

Solve the linear SDE $dX_t = aX_t \, dt +(b+cX_t) \, dW_t$

Joint Distribution of Brownian Motion and its Time Integral

Definition of predictable process

Evaluating $\mathbb E [\lvert \frac{1}{B_{t}}\int\limits_{0}^{t} K_{s}dB_{s}\rvert ^{1/4}]$ as $t \to 0$

Uniform integrability of a backward submartingale

Itô's formula: Differential form

Why do people simulate with Brownian motion instead of "Intuitive Brownian Motion"?

Understanding the definitions of weak and strong solutions in SDEs [duplicate]