Hey Jacob,
If I am understanding the question correctly, assuming you have a variable ‘prices’ and you want to calculate the change in it at ever ∆t and plot it.
Assuming column vector ‘prices’ and Time vector ‘time’ and using your formula
d∆t(t)=x(t+∆t)+x(t)
prices = rand(10,1)*100; % Example data
N = length(prices);
time = (1:N)';
DeltaT = 1;
dDeltaT = prices(1+DeltaT:end) + prices(1:end-DeltaT); %your formula
plot(time(1+DeltaT:end), dDeltaT, 'o-');
xlabel('Time');
ylabel(['d_{\Delta t}(t), \Delta t = ' num2str(DeltaT)]);
title('Price Difference');
Feel free to update the variables as per your data.
Hope this helps!
