How can I plot an equation to its time lag?

I am using MATLAB to solve an economic model and I would like to plot in a graph consumption in period t+1 and consumption in period t. The equation for consumption is:

where are parameters that I can choose the value but correspond to the sequence defined above. Since I know consumption in period 0, , I can solve for the sequence using a loop. However, I do not know how to plot consumption to its lag in a graph.

Thanks for your help!!

[Image Analyst]

What does "to its lag" mean? If you want to plot consumption, just use the plot() function after the loop.

[sergi quintana]

As you can see I have a sequence whose values I don't know. I just know the first value of the sequence (Period 0 consumption). I would like to plot the evolution of this sequence with ct+1 on the y-axis and ct on the x-axis. Maybe now is more clear.

Thanks for your interest!

Answer 1

[darova]

Use for loops

c(1) = w + (1-b)*(1+r)*a0 + D;
for t = 1:n-1
    c(t+1) = (1+r)*(c(t)-ch)*b + ch;
end
plot(1:n,c)

[sergi quintana]

Thanks for your interest! However, it seems I was not clear with my problem. I would like to plot c(t+1) on y-axis and c(t) on the x-axis. The graph you propose just plots c on the y-axis and time on the x-axis. Maybe now is more clear. Anyway thanks for helping!