What is the joint probability distribution of the maximum of the return between time $0$ and $t$ and the return at $t$, for the Heston model, when the return drift is $0$ and the correlation between the equity factor and the variance factor is nonzero?

  • $\begingroup$ quant.stackexchange.com/q/24970/59 doesn't answer your question, but may help. Essentially, you're asking for the chance a limit order at a given price will be filled. $\endgroup$
    – user59
    Commented Apr 15, 2016 at 14:38
  • $\begingroup$ Thank you, @barrycarter. Though it does not answer my particular question, your answer has a lot of information. I will research it later. By the way, at one glance, for the probability of touch you should note that the accepted answer is wrong and my answer is correct. $\endgroup$
    – Hans
    Commented Apr 21, 2016 at 19:02
  • $\begingroup$ Hmmm, hadn't read that one carefully, you might be right. $\endgroup$
    – user59
    Commented Apr 21, 2016 at 20:17


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