plotting multiple brownian motions curves on the same plot
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I have the following code to create the random path of a geometic brownian motion but I want to plot every iteration on top of eachother to look like the following
I have read all online sources from matlab and watch youtube videos to try and help but nothing I do works.
%Generates the path of the underlying for a monte carlo simulated stock
%http://ac.aua.am/tigran_bunarjyan/Public/NA_Monte%20Carlo%20Presentation.pdf
clear all
clc
S=100;
sigma=0.3;
T=1;
r=0.05;
step=1000;
dt=T/step;
sqdt=sqrt(dt);
rr=randn(1, step);
St=S;
stockPrices=[];
ts=[];
stockPrices(1)=S;
ts(1)=0;
for st=1:step
St=St*(1+r*dt+sigma*sqdt*rr(1,st));
stockPrices(st+1)=St;
ts(st+1)=st;
end
plot(ts,stockPrices)
title("Stock Price for Day =0...500");
xlabel=("Day");
ylabel=("Price");
2 Comments
Jan
on 21 Mar 2019
Katie Brewer has removed the contents of all of her questions. It seems, like she is not interested in a cooperative usage of the forum. What a pity.
Answers (1)
Naman Bhaia
on 1 Mar 2019
Hey Katie,
According to my understanding you are generating only one plot. If you want to plot a graph for each iteration of the for loop do the following
- 1. Place the “plot” command inside the for loop
- 2. Before the for loop use “hold on” command
- 3. After the for loop use the “hold off” command
Consider the following example
hold on
for i=1:101
j=i;
plot(i,j,'x');
end
hold off
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