While learning cost control for the PMP exam, I had a hard time memorizing all those formulas, so I came up with this graph that made sense to me. This is the “two thumbs up” scenario, where EV is higher than PV, and AC is lower. For those of you who are (or are about to be) PMPs, here is how to think through drawing this diagram.
Start with the budgeted project costs. Then sketch the middle S-curve that represents the budgeted project costs, moving through time. It ends at BAC (Budgeted At Completion). At a given point in time (NOW) the PV (planned value) is on this curve.
Next you look at cost. Sketch the lower S-curve, noting the AC (Actual Cost) spent so far and the EAC (Estimated At Completion), which is the amount we think we will spend, based on our spending pattern so far. Hopefully our spending is staying within budget.
Then the top curve represents the EV (Earned Value) curve. This increases whenever the project team completes some work package on the project. Ideally, this is at or just above the PV. Incidentally, once this curve intersects our Completed Project Value line, then all the work packages are complete and now we can close the project.
By drawing the curves this way, I learn the best scenario, being a little under budget and a little ahead of schedule (also known as Project Manager Heaven). Anything else is an anomaly and should be investigated.

PMP Project Cost Control
Now for the four variances. CV (Cost Variance) represents the difference between what we budgeted to spend and what we actually have spent. A positive CV is good. SV (Schedule Variance) represents the difference between the work packages we got done and the ones we thought would be done. A positive SV is good. VAC (Variance At Completion) is the difference between what we budgeted to spend and what we now think we will end up spending. If any of these variances are negative, then we have a problem with our project and we need to investigate. Lastly, ETC (Estimated To Completion) is simply how much more we expect to spend (it will never be negative - unless we expect a big refund somewhere - HA!).
To track our project performance, we use indicators. SPI (Schedule Performance Indicator) is value of the work packages that are done (EV) compared to the plan (PV). CPI (Cost Performance Indicator) is the value of the work packages that are done (EV) compared to the money spent (AC) to get us to this point. Performance indicators at 1.0 are “on plan”. Over 1.0 is good, under 1.0 is bad.
Lastly, the variance rates are noted by the ovals. CV% is the cost variance compared to the earned value. SV% is the schedule variance compared to the planned value. Having these numbers gives you perspective on the CV and SV.
Now that you can draw this diagram, learn to do it without looking. Then most of the formulas “fall out” like this (see if you can spot the formulas in the graph above):
SV=EV-PV
CV=EV-AC
SPI=EV/PV
CPI=EV/AC
SV%=SV/PV
CV%=CV/EV
VAC=BAC-EAC
ETC=EAC-AC
Now for some less obvious formulas that you need to learn, where the graph is only somewhat useful as a visualization tool.
EAC=BAC/CPI
Think of it as using your CPI to adjust your BAC number. As an example, if CPI is 1.1, then the EAC will be lower than the BAC, which should make sense.
EAC’=AC+(BAC-EV)
If you are in a situation where you believe the past should not be used to predict the future, then you can’t use CPI. In that case, you figure out how much value is remaining (incomplete work packages) to be delivered (BAC-EV) and add that to the money you’ve spent so far (AC).
% Job Complete to Plan = EV/PV x 100 = SPI x 100
How far along are we on deliverables compared to the plan? Earned compared to plan. Easy.
% Job Complete = EV/BAC x 100
This should be intuitive. Even rookie PMs do this on instinct.
This graph may not help everyone, especially if you are good at memorization. But for me, and a few cohorts to whom I’ve shown this drawing, it made a lot of sense. I plan to draw it at the beginning of my exam.
Do you find it helpful or confusing?
Tags: Brain Dump, Cost Control, Earned Value, Formula, LinkedIn, PMP, Project Management, S-curve, Schedule