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 Jan23 answered Are there any derivatives which pay amount $a(p-b)^{2}-c$ where $p$ is the price of underling asset? Jan23 answered Typical coefficients uses in square-root model for market impact Jan22 comment What are the advantages/disadvantages of these approaches to deal with volatility surface? We can compute the price of vix options using spanning formula from Peter Carr using Ito's Lemma (I will elaborate on this a later further later as it is trading hours). There are arbitrage free parameterization of the vol surface under all conditions that Jim Gatheral derived in SVI right here papers.ssrn.com/sol3/Delivery.cfm/…. Jan14 answered What are the advantages/disadvantages of these approaches to deal with volatility surface? Jan13 answered Why is short term implied volatility typically higher? Jan4 comment BS and delta hedging questions interesting. did not know that even under stochastic vol bachelier and bs are that close Jan2 comment BS and delta hedging questions @Freddy, assume interest rates 0, dividend 0, then $value = SN(D1) - KN(D2)$ in geometric brownian motion. and S=K $value \approx S(N(0) + N'(0) * d1) - K(N(0) + N'(0) * d2)$ by 1st order taylor expansion $value \approx S(1/2 + \frac{\sigma\sqrt{T}}{2\sqrt{2\pi}})- K(1/2 - \frac{\sigma\sqrt{T}}{2\sqrt{2\pi}})$, since S=K $value \approx \frac{S\sigma\sqrt{T}}{\sqrt{2\pi}}$, since $1/\sqrt{2\pi} \approx 0.4$, $value \approx .4*S\sigma\sqrt{T}$. again, still gbm Jan2 comment BS and delta hedging questions @Freddy, I am saying that for the .4*S*$\sigma * \sqrt{T}$, this derivation comes from B-S value of a call/put. if you assume 0 interest rates, you can taylor expand it and you will see this result and as you noted, B-S follows geometric brownian motion. so it should be the asset price follows geometric brownian motion Dec31 comment BS and delta hedging questions actually, asset prices do not follow arithmetic brownian motion in .4 *S*$\sigma * \sqrt{T}$, it is still geometric brownian motion. just do a simple taylor expansion on B-S formula and you will see Dec27 answered What is the instantaneous P&L of a Variance Swap? Dec23 comment Trading a synthetic replication of the VVIX (volatility of VIX) vix is mean reverting but vol of vol does not seem to be mean reverting. std is well known to decay at ~$\frac{1}{\sqrt{t}}$ Dec23 answered Trading a synthetic replication of the VVIX (volatility of VIX) Dec23 awarded Supporter Dec23 comment easy one step option replication please read the new answer below Dec23 answered Trading a synthetic replication of the VIX index Dec23 answered easy one step option replication Dec23 comment easy one step option replication The reason this is because, we can hedge out uncertainty by using the stock. Dec22 answered easy one step option replication Dec17 comment Kalman Filter Equity Example a Kalman Filter is built into the Kyle-model. Implementing the settings for the kyle model will give you a great example of how some market makers actually trade as well as some intuition of real financial markets using kalman filter Dec15 awarded Teacher