Geometric Brownian Motion: SDE Motivation and Solution

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  • čas přidán 30. 12. 2019
  • Explains how the GBM stochastic differential equation arises as a generalisation of the discrete growth and decay process, and then solves the GBM SDE.

Komentáře • 19

  • @harshvardhanranvirsingh9473

    This youtube channel should be made popular..Phenomenal explanation!!!

    • @quantpie
      @quantpie  Před 3 lety

      thanks for being so kind! thank you!

  • @adrianschroder4847
    @adrianschroder4847 Před rokem

    Great explanation and appreciate the hints on simulation!! Happy Pi(e) day!

  • @JaGWiREE
    @JaGWiREE Před 4 lety +2

    Really love this fundamental addition to your stochastic calculus / sde series, I am personally taking the time to learn some statistical mechanics as it seems the physical intuition helps me.

    • @JaGWiREE
      @JaGWiREE Před 4 lety

      With that said, I wish you a fantastic new year and hope your holidays have been fantastic thus far.

    • @quantpie
      @quantpie  Před 4 lety +2

      Thanks Brian! Yes that is the way to go! These things are a lot easier to understand when visualised as particles, waves, and states (and cats!)!

    • @quantpie
      @quantpie  Před 4 lety +1

      And a very happy new year to you too!! Hope you are enjoying the festive season too!

    • @JaGWiREE
      @JaGWiREE Před 4 lety +1

      @@quantpie I actually bursted out laughing when I read the (and cats!)! LOL. Wishing you the best of health and fortune in the new year.

  • @NT-ff2dp
    @NT-ff2dp Před rokem

    Super clear presentation 👍👍👍👍👍

  • @duckymomo7935
    @duckymomo7935 Před 4 lety +2

    O wow that was so clear to follow

  • @nilofarafzali289
    @nilofarafzali289 Před 3 lety +1

    Brilliant video - thank you! Thoroughly enjoyed following this.

    • @quantpie
      @quantpie  Před 2 lety

      Glad you enjoyed it! thanks!

  • @franckherve981
    @franckherve981 Před 4 lety +1

    Happy New year guys...A good explanation once again ...

    • @quantpie
      @quantpie  Před 4 lety

      Thanks @Herve Franck, and a very happy New Year to you too!

  • @SuperDoc3000
    @SuperDoc3000 Před 4 lety +1

    Great video

  • @user-vv4lq1jj5n
    @user-vv4lq1jj5n Před rokem

    Hi! Could you prompt how can I find out the probability that GBM (dX=X(r*dt+sigma*dB) will less than constant in all time t before T?

  • @FF-ms6wq
    @FF-ms6wq Před měsícem

    Total trash this “explanation”.