EVM

Earned Value Management (EVM) Formulas

Essential Metrics for Project Performance Assessment

This lesson provides a comprehensive overview of the core metrics used in Earned Value Management (EVM). As a PMP, you know EVM is the standard methodology for assessing project performance by integrating scope, schedule, and cost. It uses a set of fundamental terms and powerful formulas to provide a clear, objective picture of project health.

🔑 Part 1: Foundational EVM Metrics (The Pillars)

These three monetary values are measured as of a specific status date in the project.

Metric Full Name / Terminology Definition
PV Planned Value The budget for the work planned to be completed by the status date.
"How much work should have been done?"
EV Earned Value The budget for the work actually completed by the status date.
"What is the value of the work done?"
AC Actual Cost The money spent to achieve the work actually completed.
"How much money was spent?"

Note on Terminology:

  • BCWP (Budgeted Cost of Work Performed) is the older term for EV.
  • ACWP (Actual Cost of Work Performed) is the older term for AC.

📈 Part 2: Performance Indices (Efficiency)

These ratios measure efficiency. A value greater than 1.0 is considered favorable (good).

Index Formula Interpretation
CPI $$ \text{CPI} = \frac{EV}{AC} $$ Cost Efficiency: If CPI > 1.0, you are Under Budget. For every $1 spent, you earned more than $1 in value.
SPI $$ \text{SPI} = \frac{EV}{PV} $$ Schedule Efficiency: If SPI > 1.0, you are Ahead of Schedule. You completed more work than planned.

🔮 Part 3: Forecasting (The Future)

Using current performance to predict the final budget and remaining work.

Metric Formula What It Predicts
EAC $$ \text{EAC} = \frac{BAC}{CPI} $$ Estimate At Completion: Predicted total project cost, assuming current performance continues.
ETC $$ \text{ETC} = \text{EAC} - \text{AC} $$ Estimate To Complete: How much more money is needed to finish the work.

Alternative Scenarios (Advanced)

Scenario 1: Variances are One-Time

If past issues were an anomaly and future work will follow the original plan:

$$ \text{EAC} = \text{AC} + (\text{BAC} - \text{EV}) $$

Scenario 2: Critical Cost & Schedule Constraints

If both CPI and SPI will influence the remaining work (worst case):

$$ \text{EAC} = \text{AC} + \left[ \frac{\text{BAC} - \text{EV}}{\text{CPI} \times \text{SPI}} \right] $$