Stock A and stock B both follow geometric Brownian motion. Changes in any short interval of time are uncorrelated with each other. Does the value of a portfolio consisting of one of stock A and one of stock B follow geometric Brownian motion? Explain your answer.
Question:-
The process for the stock price in equation is
![](https://book.transtutors.com/qimg/231ea06b-423e-4b59-878f-4d4f89701026.png)
where μ and σ are constant. Explain carefully the difference between this model and each of the following:
![](https://book.transtutors.com/qimg/c081ab02-2262-41a3-90a5-b8161fc9d77e.png)
Why is the model in below given equation a more appropriate model of stock price behavior than any of these three alternatives?
![1450_Formula 2.jpg](https://secure.tutorsglobe.com/CMSImages/1450_Formula 2.jpg)