 # Earned Value Analysis: Formulas, Calculation & Example

Earned Value Analysis or Earned Value Management is considered to be one of the more difficult concepts of Project Management. Many practicing professionals find the earned value terms and definitions confusing. They somehow dread formulas and calculations.

I believe, Earned Value Analysis(EVA) concept is lot simpler than it is made out to be. After reading this article, you too will find it easy. I have explained earned value terms, definitions, formulas, and calculations using a small example.

## Earned Value Analysis

Do you know why most professionals find Earned Value (EV) confusing?

I believe PMP prep books and training programs should be blamed for the state of confusion. They have just over-complicated an easy concept. They stress more on formulas and calculations without explaining the basic concepts.

Let me be honest here. My first experience with EVA was on similar lines. I did not find the concept intuitive during the initial days of my PMP exam prep.

Even though my first experience was not pleasant, I persevered. I re-read the concepts and understood with the help of examples. After, I understood the topic, Earned Value Management seemed like a walk in the park.

You can also look at the following video to understand why EVM is required.

### Definition

Do you understand the language of money?

Well! Who doesn’t?

The basic principle of Earned Value (EV) is based on the fact that everyone understands the language of money.

EV is the monetary value of the completed work.

You can look at Max Wideman Glossary for more formal definitions.

For example, if I have made 5 widgets and each widget is worth \$10 then I can say that my EV is \$50 (5 X \$10).

In Earned Value Analysis (EVA) everything is measured and reported as money or monetary equivalent. The project team determines an equivalence between Scope, Schedule, Cost to do this. EVA provides a singular view of Scope, Schedule and Cost.

Let us understand equivalence by the following example.

## Earned Value Analysis Example

In this article, I have explained EVA by using a small example. In another post, I have provided its explanation in simple and easy language. You should read both these articles to understand the concept completely.

Let us look at the example. Let us consider that we have to complete a small project. We need to build wooden tables.

You can also look at the following video to understand basic terms of EVM.

### Project Plan

The project team needs to build 80 wooden tables in 5 days. It is estimated that each table will cost 1000 units of money.

The following figure provides initial plan for the project. It also provides equivalence between Project Scope, Schedule, and Cost.

 Project Scope Build 80 tables Project Schedule Estimate 5 Days Cost Estimate per Table 1000 units of money Project Cost Estimate 80000 units of money

The following figure provides detailed Schedule and Cost estimates at the start of the project.

Day 1 Day 2 Day 3 Day 4 Day 5
Tables Planned to be Built 10 13 17 20 20
Estimated Cost for the Day 10000 13000 17000 20000 20000
Estimated Cumulative Cost 10000 23000 40000 60000 80000

### Project Tracking

Let us assume that, the project was started 3 days ago and we are evaluating the performance at the end of Day 3.

The following figure provides status at the end of Day 3. There are two new rows that depict the progress of the project. These are shown in light orange background.

Day 1 Day 2 Day 3 Day 4 Day 5
Tables Planned to be Built 10 13 17 20 20
Estimated Cost for the Day 10000 13000 17000 20000 20000
Estimated Cumulative Cost 10000 23000 40000 60000 80000
Actual Cost for the Day 8000 12000 16000
Actual Cumulative Cost 8000 20000 36000

Cumulative Work Scheduled at the end of Day 3 = 40 Tables

EVA considers monetary value of the work. So, we can re-write the above statement as

Cumulative Work Scheduled at the end of Day 3 = 40 Tables worth 40000 units of money

Cumulative Actual Cost at the end of Day 3 = 36000 units of money

Is the Project Team making good progress?

Some of you might say that project has saved cost. The team has spent 36000 units of money against an estimate of 40000 units.

Some others might say that project is behind. The team has build only 36 tables instead of planned 40.

Both are incorrect interpretation of the given data. The data, itself, is incomplete.

Do you know how much work has been completed? How many tables were built at the end of Day 3?

No.

We need another parameter to determine the progress of the project. Let us introduce some more data in the above figure.

### Introducing Earned Value

Day 1 Day 2 Day 3 Day 4 Day 5
Tables Planned to be Built 10 13 17 20 20
Estimated Cost for the Day 10000 13000 17000 20000 20000
Estimated Cumulative Cost 10000 23000 40000 60000 80000
Tables Actually Built 8 12 15
Value of Tables Actually Built 8000 12000 15000
Cumulative Value of Tables Actually Built 8000 20000 35000
Actual Cost for the Day 8000 12000 16000
Actual Cumulative Cost 8000 20000 36000

You would have noticed that only 35 tables were built at the end of the day 3.

Cumulative Work Scheduled at the end of Day 3 = 40 Tables worth 40000 units of money

Cumulative Actual Cost at the end of Day 3 = 36000 units of money

Cumulative Work Performed at the end of Day 3 = 35 tables worth 35000 units of money at the Budgeted Cost

Let us re-write these terms again

Budgeted Cost of Work Scheduled (BCWS) = 40000

Budgeted Cost of Work Performed (BCWP) = 35000

Actual Cost of Work Performed (ACWP) = 36000

These are the 3 basic terms/values of EVA. The modern names for these terms are Planned Value (PV), Earned Value (EV) and Actual Cost (AC) respectively.

## Earned Value Analysis Formulas and Calculations

We can interpret a few things by analyzing the above data.

1. The project is behind schedule.

• The Project Team had planned to build 40 tables at the end of Day 3.
• They could only build 35 tables.
• In EVA parlance we can say that Project Team planned to complete the work that was worth 40000 units of money.
• They completed the work that was worth 35000 units of money.

2. The project is Over Budget.

• The Project Team build 35 tables at the end of Day 3.
• In EVA parlance we can say that they completed the work that was worth 35000 units of money.
• The Project Team spent 36000 units of money to build 35 tables.
• In EVA parlance we can say that 36000 units of money was spent for doing the work that was worth 35000 units of money.

Let us write initial formulas based on above interpretations.

### Variance Formulas

Schedule Variance (SV) = EV – PV
Cost Variance (CV) = EV – AC

### Efficiency Formulas

Schedule Performance Index (SPI) = EV/PV
Cost Performance Index (CPI) = EV/AC

### Calculations

SV = 35000 – 40000 = -5000
CV = 35000 – 36000 = -1000
SPI = 35000 / 40000 = 0.875
CPI = 35000 / 36000 = 0.97

You can refer to my other article for a complete list of EVM formulas.

### Final Thoughts

• EV is the first term in all the formulas.
• Negative variance means Project is behind.
• Positive variance means Project is ahead.
• Efficiency less than 1 means Project is behind.
• Efficiency of greater than 1 means Project is ahead.

### Over To You

Do you still have any confusion about earned value analysis? Can you apply formulas and do earned value calculations at the end of Day 2?

EVM Formulas And Their Explanations
Simple Definitions And Explantions Of EVM

### PMP Exam Formulas

I have also compiled a PMP Formulas Cheat Sheet. It contains 45 formulas and 57 abbrviations. It will help you in your exam prep. You can freely download the PMP Formulas Sheet for your studies. It is the best and most comprehensive cheat sheet based on the PMBOK Guide 6th edition.

If you are looking beyond a cheat sheet, then I would suggest you to buy detailed PMP Exam Formula Study Guide by Cornelius Fichtner. It contains detailed explanations of all the formulas along with examples and 105 practice questions.

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### 13 thoughts on “Earned Value Analysis: Formulas, Calculation & Example”

1. This example is really very helpful for all PMP aspirants.

• And that couldn’t be more accurate right here. Having said that, allow me say to you exactly what did work. Your article (parts of it) is certainly rather powerful which is possibly the reason why I am taking an effort to comment.

2. There is a little error here. You considered figures of 3rd day’s work only. But what should be considered is work done till end of day3., ie work completed and cost incurred on day1+day2+day3. In this case ,
BCWS (PV) = 10+13+17=40 tables; 40000 units of money
BCWP(EV) = 8+13+15=36 tables; 36000 units of money
ACWP (AC) = 8+12+16=36000 units of work

SV = EV-PV = 36-40 = -4 Behind Schedule

CV = EV-AC = 36-36 = 0 On Budget

• EV is always the actual earn. If you look at the 3rd table, it clearly says that 35 tables only been built by EOD of 3rd day, which in dollar value is 35000.

But AC is actual spent, so AC = 36K

What was originally planned is 40K, so PV = 40K.

Hope, it is clear now.

• Thanks Soumyo

• Hi Sanjeev, Only cumulative values are considered i.e total till the end of Day 3. Where is the confusion?

BR, Praveen.

3. Clears a lot of my doubts… And I now know where should I check when I have any confusion 🙂

4. Good explanation but small arithmetic error in the results. SV = 35000 – 40000 = -5000 and not -4000 as stated in the article.

• Thanks Jonathan. I have corrected it.

5. Found one small, but significant, typo under “Variance Formulas”…
Your article states “Cost Variance (SV) = EV – AC”.
The acronym for Cost Variance should be CV.
Other than that, GREAT article. Thanks!!