MATLAB: How to index a vector based on the vector’s values

indexing

Say I have a vector, 
V = [2 5 4 1 3]
and I want to use the numbers of the vector itself to index. Starting from 1, I go to the first element in V; which = 2.
From there, I want to go to the 2nd element of V–5, then 3, then 4, and finally 1.
How would I go about extracting Vnew = [1 2 4 5 3]?
So far I've tried:
V(V) = [5 3 1 2 4]
I'm assuming it'll require some sort of loop but I'm completely stumped right now.
EDIT: Apologies for the confusion in the explanation above; I don't need the produced vector, but the order in which it's produced–if that makes any sense.
Starting at index 1 of V, I get 2. Then I use 2 as the index of V to get 5–use 5 to get 3–3 for 4—4 loops back to 1.
The part I need is the order in which I loop through. The first index will always be 1, but say the first element of V was 3. I'd then go to the THIRD element of V and Vnew for the third element would equal 2. Using this method, I need to output Vnew = [1 2 4 5 3].

Best Answer

V = [2 5 4 1 3];
R(1) = V(1);
for i = 2:length(V)
    R(end+1) = V( R(i-1) );
end
R  % new vector
R =
     2     5     3     4     1
% The sequence of indices followed within V
S = [1 R(1:length(V)-1)]
S =
     1     2     5     3     4
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