# Visualizing Earned and Planned Values using Two Graphs

Hi everybody,

I am preparing for the PMP exam and, as many others, I have stumbled over the concept and calculation of EV, PV.

The main books I have consulted explain these terms either through formulae that one has to memorize, or through intricate graphical representations difficult to digest.

I didn't want to end memorizing and applying the formulae in a mechanical way. And I came up with a more edible way of visualizing and calculating both EV and PV using two graphs instead of one as it is usually presented.

I wrote a note on this that I would like to share with you. I haven't yet put it to test extensively, but I am confident that everything in there is correct.

If you read the note, please let me know if you find any glitch in my reasoning. Thanks a lot.

This is the link to the one-page pdf:

novando.com/Hoja_Inf/EV_PV_Graphs.pdf

### Further explanation needed.

Hi Raulcid,

How do you derive 3/7 for EV and 4/9 for PV ?

### I added a side note with further explanation

khultum:

thanks for replying to my post. I have added a side note to the pdf with an explanation of how I derived EV and PV from the graphs.

In the first graph, for example, the small triangle whose height is equal to the earned value, and the large triangle whose height is equal to the budget at completion are similar triangles. They are of the same shape but different size. Therefore, all corresponding sides of these triangles must be in the same proportion, which means that earned value over budget at completion equals work performed over project work.

Take a look at the side note that I added to the pdf. I hope this helps.