Today, I got a question from our friend, PMP aspirant. He wanted me to explain the answer to the PMP question. He said that his answer is not matching the right answer given. The question is given below:

You are the project manager of a $5 billion dollar construction project. Your project is doing extremely well in terms of cost performance, which is indicated by the Cost Performance Index value of 1.25. But, you have reasons to believe that the current variances were due to extraneous factors, and you do not expect similar variances to occur in future. The original estimated budget at completion is $250,000. What should be the estimate at completion (EAC) for your project if AC = $ 100,000 and EV = $ 125,000?

OK, before going into the question, I would like to explain the various ways of calculating the Estimate At Completion (EAC). There are three different scenarios you will encounter in the EAC calculations. They are:

**1. Current project performance is typical; you expect the project to perform similarly till end of the project**
EAC = BAC/ CPI

Let me give you an example. Say, your original budget is $1000. The actual cost as of now is $200, but the earned value is only $100. It means that you are spending $2 for every $1 of work. So, if the same performance continues till end of the project, you would be spending $2000 instead of $1000.

In terms of calculations, CPI = EV/ AC = 100/200 = 0.5

So, your EAC = BAC/ CPI = 1000/0.5 = $2000

**2. Current project performance is atypical; you expect the project to perform to original expectation from now on.**

EAC = AC + (BAC-EV)

Let us use the above example in case 1. You have spent $200 so far for an earned value of $100. So, you still have $900 (BAC-EV = $1000-$100) worth of work to be completed. Since you are expected to fall back in line with the original estimate, you need only $900 to complete the project from now on. Add the amount you have already spent on the project ($200).

So, EAC = 200 + (1000-100) = $1100

**3. You need to complete the project in time, irrespective of what has happened so far.**

EAC= AC + (BAC-EV) / (SPI * CPI)

Let us again use the example from case 1. You have spent $200 so far for an earned value of $100. But, as per schedule, you should have completed $400 value of work.

So, PV = $400, EV = $100, AC = $200

SPI = EV/PV = 100/400 = 0.25

CPI = EV/AC = 100/200 = 0.50

~~EAC = 200 + (1000-100)/(0.25*0.75) = $5000.~~

EAC = 200 + (1000-100)/(0.25*0.50) = $7400.

The revised estimate now is too high compared to the original estimate; this is because of the very slow progress (SPI =0.25). You may have to spend more money (using schedule compression techniques) to bring back the project on schedule.

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### Solution to the given problem

I hope you understand the different scenarios given here. Now, let me come back to the question sent by our friend, PMP Aspirant. The project manager believes that the current variances are not typical and does not expect similar variances to occur in the future. The scenario given falls under case 2. So, let us the relevant formula to compute the EAC value.

EAC = AC + (BAC-EV)

In the given problem, AC = $100,000; BAC = $250,000; EV = $125,000
EAC = 100000 + (250000-125000) = $225000

Is that clear? Do you still have any doubts? Please feel free to share your thoughts. If you need help on any other problem, I would be glad to help.