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Geometric Brownian Motion - Normal distribution



The Next CEO of Stack Overflow“Flattening” a 2D Normal DistributionNormal distributionQuestion of Normal Distribution ??Normal DistributionGeometric Mean of Random VariablesMean of a portion of a normal distribution?Normal distribution and sample distribution standard deviationNormal distribution for heightStandard Normal Distribution Question: Help?intepretation of standard deviation for geometric mean










0












$begingroup$


I have the following formula:



Geometric Brownian Model Formula



Does anyone know if the portion highlighted in yellow, corresponds to a normal distribution with mean = 0 and standard deviation = 1? Or is it a uniform distribution between 0 and 1?










share|cite|improve this question









$endgroup$
















    0












    $begingroup$


    I have the following formula:



    Geometric Brownian Model Formula



    Does anyone know if the portion highlighted in yellow, corresponds to a normal distribution with mean = 0 and standard deviation = 1? Or is it a uniform distribution between 0 and 1?










    share|cite|improve this question









    $endgroup$














      0












      0








      0





      $begingroup$


      I have the following formula:



      Geometric Brownian Model Formula



      Does anyone know if the portion highlighted in yellow, corresponds to a normal distribution with mean = 0 and standard deviation = 1? Or is it a uniform distribution between 0 and 1?










      share|cite|improve this question









      $endgroup$




      I have the following formula:



      Geometric Brownian Model Formula



      Does anyone know if the portion highlighted in yellow, corresponds to a normal distribution with mean = 0 and standard deviation = 1? Or is it a uniform distribution between 0 and 1?







      statistics






      share|cite|improve this question













      share|cite|improve this question











      share|cite|improve this question




      share|cite|improve this question










      asked Mar 19 at 20:51









      Patriots299Patriots299

      1




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          1 Answer
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          0












          $begingroup$

          It refers to the former, i.e. a normal random variable with mean $0$ and standard deviation $1$.



          (If you search up a proof of the solution to the geometric brownian motion stochastic differential equation, you will see a "Wiener process"/brownian motion term appearing, which is where the normal distribution comes from.)






          share|cite|improve this answer









          $endgroup$













            Your Answer





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            active

            oldest

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            0












            $begingroup$

            It refers to the former, i.e. a normal random variable with mean $0$ and standard deviation $1$.



            (If you search up a proof of the solution to the geometric brownian motion stochastic differential equation, you will see a "Wiener process"/brownian motion term appearing, which is where the normal distribution comes from.)






            share|cite|improve this answer









            $endgroup$

















              0












              $begingroup$

              It refers to the former, i.e. a normal random variable with mean $0$ and standard deviation $1$.



              (If you search up a proof of the solution to the geometric brownian motion stochastic differential equation, you will see a "Wiener process"/brownian motion term appearing, which is where the normal distribution comes from.)






              share|cite|improve this answer









              $endgroup$















                0












                0








                0





                $begingroup$

                It refers to the former, i.e. a normal random variable with mean $0$ and standard deviation $1$.



                (If you search up a proof of the solution to the geometric brownian motion stochastic differential equation, you will see a "Wiener process"/brownian motion term appearing, which is where the normal distribution comes from.)






                share|cite|improve this answer









                $endgroup$



                It refers to the former, i.e. a normal random variable with mean $0$ and standard deviation $1$.



                (If you search up a proof of the solution to the geometric brownian motion stochastic differential equation, you will see a "Wiener process"/brownian motion term appearing, which is where the normal distribution comes from.)







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered Mar 20 at 6:31









                Minus One-TwelfthMinus One-Twelfth

                2,943413




                2,943413



























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