Recursion, stock simulation

I am new to Matlab, could you help me out with automating this process:

S_1 = S_0*(1+r*dt+sigma*a*normrnd(0,1))

S_2 = S_1*(1+r*dt+sigma*a*normrnd(0,1))

S_3 = S_2*(1+r*dt+sigma*a*normrnd(0,1)) ... ... ...

Thanks

[José-Luis]

I would start by not using numbered variables and storing everything in an array.

After that, your problem becomes trivial.

Answer 1

[Jacob Ward]

Instead of giving each variable a name with a different number, store all of these things in one array. So instead of S_0, S_1, S_2, and S_3, use one variable S that has 4 different elements which you can access like this: S(1),S(2),S(3), and S(4).

If you define your variables in this way, this problem becomes easy:

S(1) = constant;
for i = 2:n
    S(i) = S(i-1)*(1+r*dt+sigma*a*normrnd(0,1))
end

Simply replace n with how many times you would like to perform the iteration and you are good to go.