PMP guideProcess domain

PMP Earned Value Management: Formulas With a Worked Example

The earned value formulas PMP candidates practice, worked end to end on one original project, with what each result means for the decision in front of you.

Short answer

PMI's 2026 PMP outline asks you to monitor project finances and evaluate status, but it does not print a formula list. The formulas candidates practice come from standard earned value practice: CV = EV − AC, SV = EV − PV, CPI = EV ÷ AC, SPI = EV ÷ PV, and forecasts such as EAC = BAC ÷ CPI, ETC = EAC − AC, VAC = BAC − EAC, and TCPI. Negative variances and index values below 1.0 are unfavorable.

Where earned value sits in the 2026 PMP outline

Earned value is not a heading in PMI's 2026 Exam Content Outline (ECO, revised August 11, 2026, as checked on October 27, 2026). It lives inside two Process tasks. Task 6, finance, is about knowing where the money goes, spotting variances early and handling them through governance, and managing reserves. Task 9, project status, is about measuring progress and reporting it.

The ECO names those responsibilities but prints no formulas. The formulas below are standard earned value management (EVM) practice. The definitions and interpretation rules come from the U.S. Government Accountability Office's Cost Estimating and Assessment Guide (GAO-20-195G), which writes its formulas with the older names shown in the table below.

The three PMP earned value inputs: PV, EV, and AC

Everything starts from three numbers taken at the same status date, plus the budget.

TermOlder namePlain meaning
Planned value (PV)BCWSThe budgeted cost of the work that was scheduled to be done by now
Earned value (EV)BCWPThe budgeted cost of the work that was actually done by now
Actual cost (AC)ACWPWhat the work actually done has cost so far
Budget at completion (BAC)BACThe total budget for all the planned work

EV is the anchor. It converts progress into budget dollars, so it can be compared with both the plan (PV) and the spending (AC).

A worked PMP earned value example, start to finish

All names and numbers here are invented. Fernbrook Clinics, a fictional health network, is replacing its appointment-reminder system. The budget at completion is $240,000. At the end of month three the status report shows:

  • PV = $120,000 (half of the work was scheduled to be done)
  • EV = $108,000 (45% of the work is actually done: 0.45 × $240,000)
  • AC = $135,000 (spent so far)
MeasureFormulaResultWhat it tells the project manager
Cost varianceCV = EV − AC−$27,000The work done so far cost $27,000 more than its budget
Schedule varianceSV = EV − PV−$12,000$12,000 of planned work has not been done yet
Cost performance indexCPI = EV ÷ AC0.80Each dollar spent has produced 80 cents of planned work
Schedule performance indexSPI = EV ÷ PV0.90The team has done 90% of the work planned by this date
Estimate at completionEAC = BAC ÷ CPI$300,000If cost efficiency stays at 0.80, the project ends at $300,000
Estimate to completeETC = EAC − AC$165,000Expected spend from here to the finish
Variance at completionVAC = BAC − EAC−$60,000The forecast overrun at the end

GAO adds three quick ratios that help with a sanity check. Percent planned is PV ÷ BAC = 50%. Percent complete is EV ÷ BAC = 45%. Percent spent is AC ÷ BAC = 56.25%. Spending is running well ahead of progress, which matches the CPI.

Once you can produce this table without notes, practice on questions that ask what the numbers mean rather than only what they equal. One of the 20 free PMP practice questions does exactly that, and full PMP prep, planned for launch, is built to give a written explanation for each practice answer.

Three PMP EAC formulas and the assumption behind each

GAO describes every index-based estimate at completion as one generic shape: actual cost so far, plus the remaining budgeted work divided by an efficiency index. The index you choose is an assumption about the future. GAO also calls it a best practice to calculate more than one EAC so that managers see a range.

EAC methodFormulaFernbrook resultUse it when
Cost efficiency continuesBAC ÷ CPI (same as AC + (BAC − EV) ÷ CPI)$300,000The causes of the overrun will keep operating
Remaining work at budget rateAC + (BAC − EV)$267,000The overrun came from a one-time event that will not repeat
Cost and schedule both drive the restAC + (BAC − EV) ÷ (CPI × SPI)about $318,333Schedule pressure is also pushing cost, for example through overtime
New bottom-up estimateAC + a re-estimated ETCdepends on the estimateThe original plan no longer describes the remaining work

The remaining budgeted work is BAC − EV = $132,000 in every row. In the third row, CPI × SPI = 0.72, so $132,000 ÷ 0.72 = $183,333 (rounded), and $135,000 + $183,333 = $318,333.

In a question, the stem usually signals which assumption applies. "The overrun was caused by a one-time licensing error" points to the second row. "The team expects current performance to continue" points to the first.

The formulas and their assumptions suit short daily recall. Make your own cards, or use the 188 Process flashcards planned for full PMP prep once it launches.

TCPI: how efficient the remaining work would need to be

The to-complete performance index (TCPI) asks how hard the rest of the project would have to perform to hit a target. GAO defines it as the budgeted cost of work remaining divided by the money left for that target.

  • To finish on the original budget: TCPI = (BAC − EV) ÷ (BAC − AC) = $132,000 ÷ $105,000 = 1.26 (rounded)
  • To finish at the $300,000 EAC: TCPI = (BAC − EV) ÷ (EAC − AC) = $132,000 ÷ $165,000 = 0.80

The first number says the team would need $1.26 of planned work for every dollar spent from now on, while it has been delivering $0.80. GAO's rule of thumb, stated for a contractor's estimate at completion, is that a TCPI more than 5 percentage points above the CPI means the estimate is too optimistic. The same logic applies to the original budget here: the gap is about 46 points, so finishing at $240,000 is not a credible plan. The second number matches the current CPI, which is exactly what you would expect for an EAC built on that CPI.

A sign rule for reading PMP earned value answers

Memorize one rule and you can check every result in seconds.

  1. Variances (CV, SV, VAC): positive is favorable, negative is unfavorable. GAO states it the same way: positive variances mean underrunning cost or doing more work than planned.
  2. Indexes (CPI, SPI): above 1.0 is favorable, below 1.0 is unfavorable.
  3. EV comes first in CV, SV, CPI, and SPI. If you find yourself subtracting EV from something, you have the formula backward.
  4. TCPI reads the other way. Above 1.0 means the remaining work must be done more efficiently than budgeted, which is harder.

One caution GAO makes explicit: a negative schedule variance disappears by the end, because once all work is done EV equals PV. GAO also tells analysts to check whether schedule variances come from activities on the critical path, because those are the ones that delay the program. SPI is a single ratio across all the work, so an SPI near 1.0 cannot tell you that on its own. Use the PMP critical path guide to check schedule questions that turn on which activity slipped.

What a PMP question does with these numbers

PMI does not say how many PMP items involve a calculation, and many earned value questions give you the results and ask for the next action. Task 6 points to the expected behavior: investigate the variance and work with the governance process, rather than act alone.

For Fernbrook, a strong sequence looks like this:

  1. Validate the data. GAO warns that an unfavorable CPI can come from inefficiency, higher material prices, technical problems, or simply a mistake in how earned value was recorded.
  2. Find the cause in the work breakdown, then forecast a range of EACs, not a single number.
  3. Report the forecast and the options to the sponsor or steering group within the project's escalation thresholds.
  4. Use contingency reserve only for identified risks the plan covers. A new budget figure or a re-baseline goes through change control.

Answers that jump straight to overtime, quietly cutting scope, or asking for more money before any analysis tend to be distractors. GAO notes that adding people or overtime costs money and can lower efficiency.

When you can explain why a TCPI of 1.26 makes the original budget unrealistic, test the judgment side under time pressure. The PMP page describes the Hard Mode and No-Miss Run challenges planned for full PMP prep for that kind of focused set. Earned value is one part of the finance and status work in the PMP Process domain, and reserves are covered in the PMP risk management guide. For mixed practice across all three domains, start with the free PMP practice questions.

Trust the source

Official sources

Exam policies can change. Use these primary sources for the most current details.