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Timeline for Mean Reverting Heston Model?

Current License: CC BY-SA 4.0

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Nov 15, 2020 at 18:00 history tweeted twitter.com/StackQuant/status/1328035036524896258
Oct 11, 2020 at 20:29 vote accept TheMathBoi
Oct 10, 2020 at 15:58 history edited TheMathBoi CC BY-SA 4.0
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Oct 9, 2020 at 23:13 history became hot network question
Oct 9, 2020 at 19:17 comment added Kevin @TheMathBoi The factor $-\frac{1}{2}v_t$ is normally relates to Ito's Lemma when you take logs, so don't worry about it. Whether you have $\theta-\kappa X_t$ or $\kappa(\theta-X_t)$ doesn't matter either because you can just rescale $\theta$
Oct 9, 2020 at 19:10 vote accept TheMathBoi
Oct 9, 2020 at 19:11
Oct 9, 2020 at 19:08 answer added Kermittfrog timeline score: 3
Oct 9, 2020 at 17:47 history edited TheMathBoi CC BY-SA 4.0
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Oct 9, 2020 at 17:43 comment added TheMathBoi I saw this paper, actually. Or, well, an earlier version of it, anyway. I understand why the authors define $S_t = exp(X_t)$ but fail to see why they define $dX_t = [\theta(t) - \kappa X_t - \frac{v_t}{2}]dt + \sqrt{v_t}dW_t$. The second term makes enough sense to me -- it's merely its equivalent as in the Heston Model -- but why in the world are we subtracting variance from equilibrium mean at time t? And shouldn't we have $\kappa (\theta(t)-X_t)$ for the mean reversion?
Oct 9, 2020 at 16:42 comment added Kermittfrog Hi, this (look may get you started. You may also start from ‚first principles‘ with Duffie/Pan/Singleton‘s Transform Methods paper .
Oct 9, 2020 at 15:18 review First posts
Oct 10, 2020 at 14:43
Oct 9, 2020 at 15:12 history asked TheMathBoi CC BY-SA 4.0