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Apr
24
answered In Black-Scholes, why is $\log{\frac{S_{t+\triangle t}}{S_t}} \sim \phi{((\mu - \frac{1}{2}\sigma^2)\triangle t, \sigma^2 \triangle t)}$?
Apr
23
revised Mean-variance minimizser
changed to the right latex commands
Apr
23
comment Mean-variance minimizser
The whole first line does not make sense. On the LHS you have a measure $Q^*$ and on the right $\min_{M_e}E_Q[V(T)-F(\omega)]^2$. And what should $u$ be? The expression you want to minimize does not depend on $u$! Furthermore, in the definition of $F(\omega)$, is it meant to be $F(\omega)=(e^{\sigma B_T(\omega)+(r-\frac{1}{2}\sigma^2)T}-K)$? So it should be an $\omega$ instead of $w$?
Apr
23
suggested suggested edit on Mean-variance minimizser
Apr
23
comment Auto-correlation of GBM
You're welcome. I'm glad if I could help.
Apr
16
comment SDE(s) satisfied by Radon-Nikodym derivatives of certain martingale measures
Are $r,\mu, \sigma$ deterministic functions?
Apr
11
comment Auto-correlation of GBM
@RPG Sorry, but I do not get your point. In general $S_t$ and $S_r$ are not independent. Furthermore, you ask what $Cov(S_t,S_r)$ is. I'm sorry if I misunderstood your question.
Apr
10
awarded  Editor
Apr
10
revised Auto-correlation of GBM
deleted 8 characters in body
Apr
10
awarded  Teacher
Apr
10
answered Auto-correlation of GBM
Feb
7
awarded  Supporter