PMP Exam Prep · Earned Value Management

PMP Earned Value Formulas Explained: CPI, SPI, CV, SV, EAC

A visual, example-driven guide to the earned value formulas PMP candidates actually need: how to calculate them, how to interpret them, and how to avoid the traps that make simple math questions feel harder than they are.

PMP Earned Value Questions Test Diagnosis, Not Just Math

The PMP exam usually gives you a project scenario, a few earned value numbers, and asks what the project manager should conclude about cost, schedule, or forecasted completion.

That means memorizing formulas is only step one. The real PMP skill is knowing what each number tells you.

Current PMP exam context: as of May 2026, PMI lists the current PMP exam as 180 questions and 230 minutes. PMI also states that a new PMP exam launches on July 9, 2026, with 180 questions and 240 minutes. Candidates taking the current version need to sit for the exam before July 8, 2026.

Earned value is still worth learning because it gives you a compact way to answer three PMP-style questions: are we over or under budget, are we ahead or behind schedule, and what will the project likely cost if performance continues?

PMP Earned Value Formula Cheat Sheet

The formulas below are the core earned value metrics that show up most often in PMP preparation. The exam may not ask for every formula directly, but it can test whether you understand what each number means.

CV = EV − ACCost variance
SV = EV − PVSchedule variance
CPI = EV ÷ ACCost efficiency
SPI = EV ÷ PVSchedule efficiency
MetricFormulaWhat It Tells YouPMP Interpretation
PVPlanned ValueBudgeted value of work plannedWhat you expected to complete by now
EVEarned ValueBudgeted value of work actually completedWhat the completed work is worth
ACActual CostActual money spentWhat you actually paid
CVEV − ACCost variancePositive = under budget; negative = over budget
SVEV − PVSchedule variancePositive = ahead; negative = behind
CPIEV ÷ ACCost performance indexAbove 1.0 = efficient; below 1.0 = inefficient
SPIEV ÷ PVSchedule performance indexAbove 1.0 = ahead; below 1.0 = behind
EACBAC ÷ CPIForecasted total costUsed when current cost performance continues
ETCEAC − ACRemaining cost estimateHow much more money the project needs
VACBAC − EACFinal budget varianceExpected budget surplus or deficit

PV vs EV vs AC: The Three Numbers Behind Every Earned Value Question

Planned Value is the value of the work you planned to finish by the status date.

Earned Value is the value of the work actually finished by the status date.

Actual Cost is what you actually spent to finish that work.

Assume a project has a total budget of $500,000. By the end of month three, the baseline plan said the team should have completed $300,000 worth of work. The team actually completed $250,000 worth of work and spent $275,000.

MetricValueMeaning
BAC$500,000Total approved project budget
PV$300,000Value of work planned by now
EV$250,000Value of work actually completed
AC$275,000Actual cost incurred so far

Earned Value Snapshot

PV vs EV vs AC
$0 $100K $200K $300K $300K $250K $275K PV EV AC

CV and SV: How to Read Cost and Schedule Variance

CV = EV − AC = $250,000 − $275,000 = −$25,000
The project is $25,000 over budget for the work completed so far.

A negative cost variance means the project spent more than the value of the completed work. On the PMP exam, negative CV means cost performance is unfavorable.

SV = EV − PV = $250,000 − $300,000 = −$50,000
The project is $50,000 behind schedule in earned value terms.

Schedule variance does not mean the project is exactly $50,000 late in calendar time. It means the value of completed work is $50,000 less than the value of work that should have been completed by the status date.

CPI and SPI: The 1.0 Rule

CPI and SPI convert variance into a ratio. For PMP questions, 1.0 is the dividing line.

Cost Performance

CPI 0.91

Earning $0.91 of value per $1.00 spent.

Schedule Performance

SPI 0.83

$0.83 of work completed for every $1.00 planned.

Exam Shortcut

1.0

Above 1.0 is favorable. Below 1.0 is unfavorable.

CPI = EV ÷ AC = $250,000 ÷ $275,000 = 0.91
The project is cost inefficient.
SPI = EV ÷ PV = $250,000 ÷ $300,000 = 0.83
The project is progressing slower than planned.

EAC, ETC and VAC: Forecasting the Final Project Cost

Use EAC = BAC ÷ CPI when current cost performance is expected to continue.

EAC = BAC ÷ CPI = $500,000 ÷ 0.91 ≈ $549,451
The project is forecasted to finish at about $549K.
ETC = EAC − AC = $549,451 − $275,000 = $274,451
The project needs about $274K more from today forward.
VAC = BAC − EAC = $500,000 − $549,451 = −$49,451
The project is forecasted to finish about $49K over budget.

Forecasted Cost vs Original Budget

BAC compared with EAC
Original Budget, BAC $500K Forecasted Cost, EAC $549K Approved Budget Line The forecast crosses the original budget line by about $49K.

Full Worked Example: PMP Earned Value Scenario

A project has a total approved budget of $500,000. At the end of month three, the project baseline shows that $300,000 worth of work should have been completed. The team has actually completed $250,000 worth of work and spent $275,000.

Calculate CV, SV, CPI, SPI, EAC, ETC, and VAC.

Identify the base values

BAC = $500,000, PV = $300,000, EV = $250,000, and AC = $275,000.

Calculate CV and SV

CV = $250,000 − $275,000 = −$25,000. SV = $250,000 − $300,000 = −$50,000.

Calculate CPI and SPI

CPI = $250,000 ÷ $275,000 = 0.91. SPI = $250,000 ÷ $300,000 = 0.83.

Forecast completion cost

EAC = $500,000 ÷ 0.91 ≈ $549,451. ETC = $549,451 − $275,000 = $274,451. VAC = $500,000 − $549,451 = −$49,451.

Cost Variance

−$25K

Over budget for work completed.

Schedule Variance

−$50K

Behind the approved plan.

Forecast

$549K

Projected over original BAC.

Common PMP Earned Value Mistakes

Mistake 1: Comparing AC to PV

If AC is lower than PV, the project may look under budget. That conclusion can be wrong. Cost performance compares EV to AC, not AC to PV.

In the example, AC is $275,000 and PV is $300,000. The project spent less than planned by the status date, but it also completed less work than planned. Since EV is only $250,000, the project spent $275,000 to produce $250,000 of value.

Mistake 2: Treating CPI and SPI as percentages

A CPI of 0.91 is not "91% over budget." It means the project earns $0.91 of value per $1.00 spent.

A SPI of 0.83 does not mean the project is exactly 17 days late or 17% late in calendar terms. It means the project has earned 83% of the planned value expected by the status date.

Mistake 3: Using the Wrong EAC Formula

ScenarioFormula
Current cost performance is expected to continueEAC = BAC ÷ CPI
Original estimate is no longer validEAC = AC + Bottom-up ETC
Future work will be completed at the planned rateEAC = AC + BAC − EV
Cost and schedule performance both affect future workEAC = AC + [(BAC − EV) ÷ (CPI × SPI)]

PMP Practice Question: CPI Interpretation

A project has a BAC of $800,000. At the current status date, PV is $420,000, EV is $360,000, and AC is $400,000.

What is the project's CPI, and what does it mean?

A. 0.86; the project is behind schedule
B. 0.90; the project is over budget
C. 1.11; the project is under budget
D. 0.90; the project is ahead of schedule

Correct answer: B. 0.90; the project is over budget.

CPI = EV ÷ AC = $360,000 ÷ $400,000 = 0.90. A CPI below 1.0 means the project is cost inefficient. Option A uses the wrong interpretation because behind schedule is measured with SPI, not CPI.

PMP Exam-Day Shortcut

Use this sequence when a PMP question gives you earned value numbers:

Question TypeUse
Cost varianceCV = EV − AC
Schedule varianceSV = EV − PV
Cost efficiencyCPI = EV ÷ AC
Schedule efficiencySPI = EV ÷ PV
Forecasted final costEAC
Remaining costETC
Final budget varianceVAC

The fastest diagnostic is this: for cost questions, compare EV to AC. For schedule questions, compare EV to PV. For index questions, remember that 1.0 is the dividing line.

Exam details verified against PMI.org on May 23, 2026. Confirm current PMP exam requirements directly with PMI before scheduling your exam.

Practice PMP Earned Value Questions With SimpuTech

If you want help working through earned value questions step by step, use the SimpuTech PMP AI Tutor. It can explain CPI, SPI, CV, SV, EAC, ETC, and VAC using your own practice scenario, then generate new PMP-style questions until the formulas feel automatic.

Try the SimpuTech PMP AI Tutor →