Cost Variance: Definition, Calculation, and Interpretation

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Cost Variance: Definition, Calculation, and Interpretation

Project Management · Chapter 10: Project Closure and Post-Completion ReviewSection 10.3 · lesson 65 of 7313 min · free with a free account

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Earn 3 college credits for Project ManagementRecommended for credit by NCCRS · Business 230 · self-paced · one payment, lifetime access

In this lesson

Calculate final cost variance, explain its causes, and turn it into lessons.

  • Calculate final cost variance and percent variance with a stated sign convention
  • Identify which costs belong in the final actual cost
  • Classify variance causes by type and as controllable or not controllable
  • Recognize offsetting variances and padded estimates behind a near-zero result

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Transcript

Everything said in the video, section by section (1,492 words). Read along, or search it.

Opening Question

Did Rising Prices Cause the Overrun

Priya has closed out another Willowbrook project: the renovation of the Northside clinic's east wing. The figures are made up. It finished $21,000 over its $300,000 budget. The finance committee wants a single explanation, and one board member says rising prices explain all of it. Is that right? And how should the result be calculated, and reported?

Definitions

Approved Budget and Final Actual Cost

The approved budget is the total the sponsor authorized for the project's work, including any formally approved changes to it. The final actual cost is what the project actually cost, when all work and closeout were finished. The final cost variance is the difference. It answers one question: how did the project end against the approved budget? It's calculated once, when all costs are known, and summarized in the closure report.

Formula

Sign Convention and Percent Variance

The formula: final cost variance equals the approved budget, minus the final actual cost. The sign convention says what the sign means. Here, positive means the project finished under budget, and negative means over. Always state it, because readers may assume the opposite. Percent variance is the variance divided by the approved budget, times 100, with the sign carried through. A variance of $5,000 means little until you know whether the budget was $20,000, or $2,000,000.

Worked Examples

One Project Under, One Over Budget

Two cases. First, a budget of $200,000 and a final actual cost of $184,000. 200,000 - 184,000 = +16,000. 16,000 / 200,000 = 0.08, or +8%. Positive, so the project finished under budget. Second, a budget of $150,000 and a final actual cost of $163,500. 150,000 - 163,500 = -13,500. -13,500 / 150,000 = -0.09, or -9%. Negative, so it finished over budget.

Quick Check

Computing an 8 Percent Overrun

Quick check. A project's approved budget was $120,000, and its final actual cost is $129,600. Is the final cost variance +8%, -8%, or -7.4%? And is that over or under budget? Pause and predict. -8%, over budget. 120,000 - 129,600 = -9,600. Divided by 120,000, that's -0.08. +8% reverses the subtraction. And -7.4% divides by the actual cost instead of the budget, which is the wrong base.

What Counts

Costs Included and Excluded

The final actual figure must include every cost that belongs to the project, and only those. In: direct labor, materials, equipment and services; allocated indirect costs; closeout costs, like final training and the archive; and accrued costs, for work done but not yet invoiced. Out: the cost of running the result after handover, which belongs to the operating budget, and charges wrongly coded to the project. So the final figure can't be completed until contract closeout has settled every claim and final payment. That's why the cost position comes late in closure.

Link to Earned Value

When Earned Value Variance Becomes Final

How does this relate to earned value? During the project, cost variance compares the value of work done with what it cost. Before completion, the value of work done is less than the full budget. At completion, it equals the approved budget. So the earned value cost variance becomes budget minus actual: the final cost variance. The two agree at the end. One caution, for a project that ends early or is canceled. If scope was cut, comparing the final cost with the original, full budget mixes a change of scope with a change of cost. Compare with the budget as approved after the scope change, or report the value of the completed work separately, and state which basis you used.

Cause Categories

Five Common Causes of Variance

A variance is a result. Its value comes from knowing why. Five categories cover most causes. An estimating error: the budget was wrong when it was set. Evidence: the original estimate shows what was assumed. A scope change. Approved with a matching budget change, it causes no variance. Added informally, it does. Evidence: the change log. A price movement: labor, materials or services cost more after the budget was set. Evidence: invoices compared with quotations. Productivity: work took more or less effort than planned for the same output. And rework: work done again because it was defective. Evidence: the issue log and inspection records.

Controllability

Controllable Causes Versus Outside Forces

A controllable cause is one the team or its organization could have influenced. One that isn't controllable comes from outside their influence. Estimating errors and rework are generally controllable. Informal scope growth is controllable, through change control. Productivity falls in between. A market-wide price rise generally isn't controllable, though buying early, or a fixed-price contract, can change how much of it the project bears. The classification is a judgment from evidence, so record the reasoning. It decides the lesson. Controllable: improve the practice, like estimating, change control or inspection. Not controllable: improve forecasting and protection, like allowances, reserves, or contract terms that share the risk. Blaming the team for everything discourages honest reporting. Calling everything bad luck prevents learning.

Worked Example

The Northside Line-by-Line Worksheet

Here's the Northside worksheet. Labor: budget 120,000, actual 132,000. That's -12,000, or -10%. Materials: 100,000 against 111,000: -11,000, -11%. Equipment: 40,000 against 36,000: +4,000, +10%. Contracted services: 30,000 against 31,500: -1,500, -5%. Training and other: 10,000 against 10,500: -500, -5%. In total, 300,000 against 321,000: -21,000, or -7.0%. Over budget. Only one line finished under, and the percentages vary widely. The total alone hides which estimates were wrong.

Hidden Problems

Offsetting Variances and Padded Estimates

A variance near zero looks like success, but it can hide two problems. First, offsetting variances: overruns in some lines offset by underruns in others. Equipment came in 4,000 under, while labor ran 12,000 over. With a bigger equipment saving, the total could have hit zero, with two estimating problems still hidden. Second, a padded estimate: a budget deliberately set above the expected cost, so the project looks on budget. It ties up money other projects could use, and makes the estimate useless for the next one. So a close result is good news only when the lines agree too, and the budget was honest.

Quick Check

A Zero Variance That Hides Errors

Quick check. A $500,000 clinic project finishes at exactly $500,000. Labor ran $40,000 over, and materials came in $40,000 under. Should the review conclude the estimates were accurate, check each line's estimate, or call the project over budget? Pause and predict. Check each line's estimate. Zero here comes from offsetting variances: one estimate was too low, and another too high, or padded. The project wasn't over budget, but calling the estimates accurate would carry two bad numbers into the next budget.

Using Results

Feeding Estimates and Reviewing Reserves

Two uses turn the result into improvement. First, feed it back into estimating: lines that ran over or under are noted, so the next estimate for similar work uses the actual cost, not the old guess. Second, review how reserves were used: reserve used, divided by reserve approved. A contingency reserve of 12,000, with 9,000 spent, gives 9,000 / 12,000 = 75%. Across projects, reserves left almost unused may suggest padding, and reserves always exhausted may suggest under-estimating. Either is a question to examine, not a conclusion.

Common Mistakes

Reversed Signs, Wrong Bases, Mixed Budgets

Four mistakes recur. Reversing the subtraction flips the sign, and turns an overrun into a saving. Write the formula in words each time: a project that spent more than it was given must show a negative number. Dividing by the wrong base. In the first case, 16,000 divided by the actual cost of 184,000 gives about 8.7%, not the correct 8%. Mixing budgets: comparing with the original budget when approved changes raised it makes an authorized increase look like an overrun. And leaving out accrued or closeout costs makes the project look cheaper than it was. A quick check: budget minus variance should give back the actual cost. 200,000 - 16,000 = 184,000.

Reporting

The Cost Statement in the Closure Report

In the closure report, the cost result is a short statement in three parts: the figures; the sign convention and percent; and the causes, with the largest contributors and the evidence behind each. Causes that records can't support are marked as judgment. And the statement says whether the result was foreseen: matching the last forecasts shows tracking worked, while a sharp surprise is itself a finding. Finance will want the accrued costs reconciled. The sponsor will want to know whether an overrun needs more funding, or fits within an approved reserve.

Case Resolved

Separating Price Rises From Rework

Back to the board member's claim. Priya separates the causes from the records. Supplier invoices against the original quotes show materials cost 11,000 more from price rises: not controllable. Inspection records show a ceiling section failed inspection and was rebuilt: the 12,000 labor overrun, controllable. The 1,500 was an estimating error, and the 500 a small request absorbed. Overruns of 12,000 + 11,000 + 1,500 + 500 = 25,000, less the 4,000 equipment saving: 21,000. Of the 25,000 in overruns, 12,000 + 1,500 + 500 = 14,000 was controllable. So prices explain only part of it. Priya reports the uncomfortable finding, and two accurate lessons: tighten inspection before closing walls, and consider fixed-price terms for materials.

Key Takeaways

Calculating and Explaining Final Variance

To recap. Final cost variance is the approved budget minus the final actual cost. Positive is under, negative is over. Percent variance divides by the approved budget, with the sign carried through. Count every project cost, including closeout and accruals, and check the lines, not just the total. Then classify each cause as controllable or not, because that decides the lesson.

About Project Management at UPI Study

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Universities that work with NCCRS

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FAQ

Questions students ask us

About Cost Variance: Definition, Calculation, and Interpretation

How do you calculate final cost variance and percent variance?
Final cost variance equals the approved budget minus the final actual cost, and percent variance divides that result by the approved budget, times 100. A $150,000 budget with a $163,500 final cost gives -$13,500, or -9%. Under this convention, positive means under budget and negative means over. State the convention every time, because some readers assume the opposite.
What costs should be included in a project's final actual cost?
Include direct labor, materials, equipment and services, allocated indirect costs, closeout costs such as final training and archiving, and accrued costs for work done but not yet invoiced. Exclude the cost of running the result after handover, which belongs to the operating budget, and charges wrongly coded to the project. The final figure waits until contract closeout settles every claim and payment.
Why can a project with zero cost variance still have bad estimates?
A zero total can hide offsetting variances, where overruns in some lines cancel underruns in others. A $500,000 project ending exactly on budget may have labor $40,000 over and materials $40,000 under, meaning one estimate was too low and another too high or padded. Check each line's estimate, not just the total, before calling the estimates accurate.
What is the difference between controllable and uncontrollable causes of a cost overrun?
A controllable cause is one the team or organization could have influenced, such as estimating errors, rework or informal scope growth. An uncontrollable cause comes from outside, such as a market-wide price rise, though early buying or fixed-price contracts can reduce exposure. The classification decides the lesson: improve practice for controllable causes, and improve forecasting, reserves or contract terms for the rest.

About the Project Management course

How many college credits is Project Management?
Project Management (Business 230) carries a NCCRS credit recommendation for 3 semester credits. ACE and NCCRS have over 2,100 cooperating colleges that will consider accepting credits; the final decision is with the universities.
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