Biudžeto užbaigus formulė (BAC formulė)
Biudžeto užbaigus (BAC) formulė yra Earned Value Management pagrindas. Ji apibrėžia bendrą patvirtintą biudžetą visiems projekto darbams. Pagal PMBOK 6-ąjį leidimą (p. 263), BAC formulė yra:
Paprasčiau tariant: kiekvienas darbo paketas, išlaidų kategorija ir nenumatytų atvejų rezervas yra įvertinamas ir susumuojamas. Suma yra jūsų BAC. Patvirtinus bazinę liniją, jis tampa fiksuotas — BAC nesikeičia, kai viršijamos išlaidos. Keičiasi tik Estimate at Completion (EAC).
BAC formulė EVM kontekste
Biudžeto užbaigus formulė tiesiogiai veikia kiekvieną kitą EVM metriką:
| Metrika | Naudoja BAC? | Formulė |
|---|---|---|
| Planned Value (PV) | ✓ | % Suplanuota × BAC |
| Earned Value (EV) | ✓ | % Užbaigta × BAC |
| CPI | Netiesiogiai | EV / AC |
| EAC (tipinė) | ✓ | BAC / CPI |
| VAC | ✓ | BAC − EAC |
| TCPI | ✓ | (BAC − EV) / (BAC − AC) |
Dėl netikslaus BAC kiekviena tolesnė EVM metrika tampa nepatikima. Teisingas BAC formulės taikymas yra svarbiausias projekto išlaidų valdymo žingsnis.
5 BAC skaičiavimo metodai
Nėra vieno algoritmo BAC sudarymui. PMBOK apibrėžia kelis vertinimo metodus, kiekvienas tinkamas skirtingam projekto apibrėžimo lygiui:
1. Vertinimas iš apačios į viršų (tiksliausias)
Įvertinkite kiekvieną individualų darbo paketą, tada susumuokite visus įvertinimus. Tikslumas: ±5–10%. Reikalauja detalios apimties apibrėžties. Šis metodas naudojamas mūsų BAC Builder skirtuke.
2. Analoginis vertinimas
Kaip pradinį tašką naudokite panašaus užbaigto projekto duomenis. Tikslumas: ±25–75%. Greitas, bet priklauso nuo atitinkamų istorinių duomenų turėjimo. Geriausia ankstyvos stadijos biudžetams.
3. Parametrinis vertinimas
Išveskite išlaidas iš statistinio ryšio tarp projekto apimties ir vieneto kainos. Tikslumas: ±10–20%. Dažnas statyboje (kaina/m²), programinėje įrangoje ($kaina/funkcijos taškas) ir gamyboje.
4. Trijų taškų vertinimas (PERT)
Paskirstykite svorius trims scenarijams, kad gautumėte tikimybe grįstą įvertinimą. PERT atsižvelgia į grafiko ir išlaidų neapibrėžtumą, todėl yra patikimesnis nei vieno taško įvertinimas.
5. Ekspertų vertinimas
Pasitarkite su kvalifikuotais srities ekspertais, kai nėra palyginamų duomenų. Derinamas su bet kuriuo iš aukščiau išvardytų metodų. Tikslumas priklauso tik nuo eksperto patirties.
Praktinis pavyzdys: BAC formulės taikymas
Įmonė planuoja biuro renovacijos projektą. Projekto vadovas taiko vertinimą iš apačios į viršų kiekvienam darbo paketui:
| Darbo paketas | Biudžetas | |||||||||||||||||||||||||||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Griovimas ir aikštelės paruošimas | $80,000 | |||||||||||||||||||||||||||||||||||||||||
| Konstrukciniai darbai | $220,000 | |||||||||||||||||||||||||||||||||||||||||
| Elektra ir santechnika | Budget at Completion Formula (BAC Formula)The Budget at Completion (BAC) formula is the foundation of Earned Value Management. It defines the total approved budget for all project work. Per PMBOK 6th Edition (p.263), the BAC formula is: BAC = Sum of all budgets established for the work to be performed In plain terms: every work package, cost category, and contingency reserve is estimated and summed. The total is your BAC. Once approved at baseline, it is fixed — BAC does not change when costs overrun. Only the Estimate at Completion (EAC) changes. BAC Formula in Context of EVMThe Budget at Completion formula feeds directly into every other EVM metric:
An inaccurate BAC makes every downstream EVM metric unreliable. Getting the BAC formula right is the most important step in project cost management. 5 Methods to Calculate BACThere is no single algorithm for building BAC. PMBOK defines several estimation approaches, each suited to a different level of project definition: 1. Bottom-Up Estimation (Most Accurate)BAC = Σ (cost of each work package) Estimate every individual work package, then sum all estimates. Accuracy: ±5–10%. Requires detailed scope definition. This is the approach used in our BAC Builder tab. 2. Analogous EstimationBAC = Actual cost of similar past project × adjustment factor Use data from a comparable completed project as the starting point. Accuracy: ±25–75%. Fast but relies on having relevant historical data. Best for early-stage budgets. 3. Parametric EstimationBAC = unit cost × quantity (e.g. $/m² × project area) Derive cost from a statistical relationship between project scope and unit cost. Accuracy: ±10–20%. Common in construction (cost/m²), software ($cost/function point), and manufacturing. 4. Three-Point Estimation (PERT)BAC = (Optimistic + 4 × Most Likely + Pessimistic) / 6 Weight three scenarios to produce a probability-weighted estimate. PERT accounts for schedule and cost uncertainty, making it more reliable than a single-point estimate. 5. Expert JudgementConsult qualified subject matter experts when no comparable data exists. Combined with any of the above methods. Accuracy depends entirely on expert experience. Worked Example: Applying the BAC FormulaA company is planning an office renovation project. The project manager applies bottom-up estimation to each work package:
This is the BAC: $990,000. The management reserve ($50,000) is held separately and is NOT part of the BAC formula. If by month 4 the project has spent $420,000 on 38% of the work, the EVM metrics become:
What BAC Does NOT IncludeKey Rule: BAC = Cost Baseline = Direct Costs + Indirect Costs + Contingency Reserve. BAC does not include Management Reserve (held by management for unknown-unknown risks). BAC + Management Reserve = Total Project Budget. Why BAC Must Never Change Mid-ProjectA cost overrun does NOT change BAC. If your project overspends, you track this through:
If the project scope formally changes (approved change request), only then can the BAC be re-baselined. This is called a budget revision and requires formal change control. → Build Your BAC with Our Free Calculator 80,000 | |||||||||||||||||||||||||||||||||||||||||
| Vidaus apdaila | $340,000 | |||||||||||||||||||||||||||||||||||||||||
| Projektų valdymas | $80,000 | |||||||||||||||||||||||||||||||||||||||||
| Nenumatytų atvejų rezervas (10%) | $90,000 | |||||||||||||||||||||||||||||||||||||||||
| BAC (Išlaidų atskaitos taškas) | $990,000 | |||||||||||||||||||||||||||||||||||||||||
| Valdymo rezervas (5%) | $50,000 | |||||||||||||||||||||||||||||||||||||||||
| Bendras projekto biudžetas | Budget at Completion Formula (BAC Formula)The Budget at Completion (BAC) formula is the foundation of Earned Value Management. It defines the total approved budget for all project work. Per PMBOK 6th Edition (p.263), the BAC formula is: BAC = Sum of all budgets established for the work to be performed In plain terms: every work package, cost category, and contingency reserve is estimated and summed. The total is your BAC. Once approved at baseline, it is fixed — BAC does not change when costs overrun. Only the Estimate at Completion (EAC) changes. BAC Formula in Context of EVMThe Budget at Completion formula feeds directly into every other EVM metric:
An inaccurate BAC makes every downstream EVM metric unreliable. Getting the BAC formula right is the most important step in project cost management. 5 Methods to Calculate BACThere is no single algorithm for building BAC. PMBOK defines several estimation approaches, each suited to a different level of project definition: 1. Bottom-Up Estimation (Most Accurate)BAC = Σ (cost of each work package) Estimate every individual work package, then sum all estimates. Accuracy: ±5–10%. Requires detailed scope definition. This is the approach used in our BAC Builder tab. 2. Analogous EstimationBAC = Actual cost of similar past project × adjustment factor Use data from a comparable completed project as the starting point. Accuracy: ±25–75%. Fast but relies on having relevant historical data. Best for early-stage budgets. 3. Parametric EstimationBAC = unit cost × quantity (e.g. $/m² × project area) Derive cost from a statistical relationship between project scope and unit cost. Accuracy: ±10–20%. Common in construction (cost/m²), software ($cost/function point), and manufacturing. 4. Three-Point Estimation (PERT)BAC = (Optimistic + 4 × Most Likely + Pessimistic) / 6 Weight three scenarios to produce a probability-weighted estimate. PERT accounts for schedule and cost uncertainty, making it more reliable than a single-point estimate. 5. Expert JudgementConsult qualified subject matter experts when no comparable data exists. Combined with any of the above methods. Accuracy depends entirely on expert experience. Worked Example: Applying the BAC FormulaA company is planning an office renovation project. The project manager applies bottom-up estimation to each work package:
This is the BAC: $990,000. The management reserve ($50,000) is held separately and is NOT part of the BAC formula. If by month 4 the project has spent $420,000 on 38% of the work, the EVM metrics become:
What BAC Does NOT IncludeKey Rule: BAC = Cost Baseline = Direct Costs + Indirect Costs + Contingency Reserve. BAC does not include Management Reserve (held by management for unknown-unknown risks). BAC + Management Reserve = Total Project Budget. Why BAC Must Never Change Mid-ProjectA cost overrun does NOT change BAC. If your project overspends, you track this through:
If the project scope formally changes (approved change request), only then can the BAC be re-baselined. This is called a budget revision and requires formal change control. → Build Your BAC with Our Free Calculator ,040,000 |
Tai yra BAC: $990,000. Valdymo rezervas ($50,000) laikomas atskirai ir NĖRA BAC formulės dalis. Jei per 4 mėnesius projektui išleista $420,000 atlikus 38% darbų, EVM metrikos tampa tokios:
- AC = $420,000
- EV = 38% × $990,000 = $376,200
- CPI = $376,200 / $420,000 = 0.896 (viršija biudžetą)
- EAC = $990,000 / 0.896 =
Budget at Completion Formula (BAC Formula)
The Budget at Completion (BAC) formula is the foundation of Earned Value Management. It defines the total approved budget for all project work. Per PMBOK 6th Edition (p.263), the BAC formula is:
BAC = Sum of all budgets established for the work to be performedIn plain terms: every work package, cost category, and contingency reserve is estimated and summed. The total is your BAC. Once approved at baseline, it is fixed — BAC does not change when costs overrun. Only the Estimate at Completion (EAC) changes.
BAC Formula in Context of EVM
The Budget at Completion formula feeds directly into every other EVM metric:
Metric Uses BAC? Formula Planned Value (PV) ✓ % Planned × BAC Earned Value (EV) ✓ % Complete × BAC CPI Indirectly EV / AC EAC (typical) ✓ BAC / CPI VAC ✓ BAC − EAC TCPI ✓ (BAC − EV) / (BAC − AC) An inaccurate BAC makes every downstream EVM metric unreliable. Getting the BAC formula right is the most important step in project cost management.
5 Methods to Calculate BAC
There is no single algorithm for building BAC. PMBOK defines several estimation approaches, each suited to a different level of project definition:
1. Bottom-Up Estimation (Most Accurate)
BAC = Σ (cost of each work package)Estimate every individual work package, then sum all estimates. Accuracy: ±5–10%. Requires detailed scope definition. This is the approach used in our BAC Builder tab.
2. Analogous Estimation
BAC = Actual cost of similar past project × adjustment factorUse data from a comparable completed project as the starting point. Accuracy: ±25–75%. Fast but relies on having relevant historical data. Best for early-stage budgets.
3. Parametric Estimation
BAC = unit cost × quantity (e.g. $/m² × project area)Derive cost from a statistical relationship between project scope and unit cost. Accuracy: ±10–20%. Common in construction (cost/m²), software ($cost/function point), and manufacturing.
4. Three-Point Estimation (PERT)
BAC = (Optimistic + 4 × Most Likely + Pessimistic) / 6Weight three scenarios to produce a probability-weighted estimate. PERT accounts for schedule and cost uncertainty, making it more reliable than a single-point estimate.
5. Expert Judgement
Consult qualified subject matter experts when no comparable data exists. Combined with any of the above methods. Accuracy depends entirely on expert experience.
Worked Example: Applying the BAC Formula
A company is planning an office renovation project. The project manager applies bottom-up estimation to each work package:
Work Package Budget Demolition & Site Prep $80,000 Structural Work $220,000 Electrical & Plumbing $180,000 Interior Fit-Out $340,000 Project Management $80,000 Contingency Reserve (10%) $90,000 BAC (Cost Baseline) $990,000 Management Reserve (5%) $50,000 Total Project Budget $1,040,000 This is the BAC: $990,000. The management reserve ($50,000) is held separately and is NOT part of the BAC formula. If by month 4 the project has spent $420,000 on 38% of the work, the EVM metrics become:
- AC = $420,000
- EV = 38% × $990,000 = $376,200
- CPI = $376,200 / $420,000 = 0.896 (over budget)
- EAC = $990,000 / 0.896 = $1,104,911 (projected overrun of $114,911)
What BAC Does NOT Include
Key Rule: BAC = Cost Baseline = Direct Costs + Indirect Costs + Contingency Reserve.
BAC does not include Management Reserve (held by management for unknown-unknown risks).
BAC + Management Reserve = Total Project Budget.Why BAC Must Never Change Mid-Project
A cost overrun does NOT change BAC. If your project overspends, you track this through:
- CV (Cost Variance) = EV − AC → shows current overrun amount
- EAC → shows revised total cost forecast
- VAC (Variance at Completion) = BAC − EAC → shows projected final overrun
If the project scope formally changes (approved change request), only then can the BAC be re-baselined. This is called a budget revision and requires formal change control.
→ Build Your BAC with Our Free Calculator ,104,911 (prognozuojamasBudget at Completion Formula (BAC Formula)
The Budget at Completion (BAC) formula is the foundation of Earned Value Management. It defines the total approved budget for all project work. Per PMBOK 6th Edition (p.263), the BAC formula is:
BAC = Sum of all budgets established for the work to be performedIn plain terms: every work package, cost category, and contingency reserve is estimated and summed. The total is your BAC. Once approved at baseline, it is fixed — BAC does not change when costs overrun. Only the Estimate at Completion (EAC) changes.
BAC Formula in Context of EVM
The Budget at Completion formula feeds directly into every other EVM metric:
Metric Uses BAC? Formula Planned Value (PV) ✓ % Planned × BAC Earned Value (EV) ✓ % Complete × BAC CPI Indirectly EV / AC EAC (typical) ✓ BAC / CPI VAC ✓ BAC − EAC TCPI ✓ (BAC − EV) / (BAC − AC) An inaccurate BAC makes every downstream EVM metric unreliable. Getting the BAC formula right is the most important step in project cost management.
5 Methods to Calculate BAC
There is no single algorithm for building BAC. PMBOK defines several estimation approaches, each suited to a different level of project definition:
1. Bottom-Up Estimation (Most Accurate)
BAC = Σ (cost of each work package)Estimate every individual work package, then sum all estimates. Accuracy: ±5–10%. Requires detailed scope definition. This is the approach used in our BAC Builder tab.
2. Analogous Estimation
BAC = Actual cost of similar past project × adjustment factorUse data from a comparable completed project as the starting point. Accuracy: ±25–75%. Fast but relies on having relevant historical data. Best for early-stage budgets.
3. Parametric Estimation
BAC = unit cost × quantity (e.g. $/m² × project area)Derive cost from a statistical relationship between project scope and unit cost. Accuracy: ±10–20%. Common in construction (cost/m²), software ($cost/function point), and manufacturing.
4. Three-Point Estimation (PERT)
BAC = (Optimistic + 4 × Most Likely + Pessimistic) / 6Weight three scenarios to produce a probability-weighted estimate. PERT accounts for schedule and cost uncertainty, making it more reliable than a single-point estimate.
5. Expert Judgement
Consult qualified subject matter experts when no comparable data exists. Combined with any of the above methods. Accuracy depends entirely on expert experience.
Worked Example: Applying the BAC Formula
A company is planning an office renovation project. The project manager applies bottom-up estimation to each work package:
Work Package Budget Demolition & Site Prep $80,000 Structural Work $220,000 Electrical & Plumbing $180,000 Interior Fit-Out $340,000 Project Management $80,000 Contingency Reserve (10%) $90,000 BAC (Cost Baseline) $990,000 Management Reserve (5%) $50,000 Total Project Budget $1,040,000 This is the BAC: $990,000. The management reserve ($50,000) is held separately and is NOT part of the BAC formula. If by month 4 the project has spent $420,000 on 38% of the work, the EVM metrics become:
- AC = $420,000
- EV = 38% × $990,000 = $376,200
- CPI = $376,200 / $420,000 = 0.896 (over budget)
- EAC = $990,000 / 0.896 = $1,104,911 (projected overrun of $114,911)
What BAC Does NOT Include
Key Rule: BAC = Cost Baseline = Direct Costs + Indirect Costs + Contingency Reserve.
BAC does not include Management Reserve (held by management for unknown-unknown risks).
BAC + Management Reserve = Total Project Budget.Why BAC Must Never Change Mid-Project
A cost overrun does NOT change BAC. If your project overspends, you track this through:
- CV (Cost Variance) = EV − AC → shows current overrun amount
- EAC → shows revised total cost forecast
- VAC (Variance at Completion) = BAC − EAC → shows projected final overrun
If the project scope formally changes (approved change request), only then can the BAC be re-baselined. This is called a budget revision and requires formal change control.
→ Build Your BAC with Our Free Calculator 14,911 viršijimas)
Ko BAC neapima
BAC neapima Valdymo rezervo (laikomas vadovybės nežinomo tipo rizikoms).
BAC + Valdymo rezervas = Bendras projekto biudžetas.
Kodėl BAC niekada neturi keistis įpusėjus projektui
Išlaidų viršijimas NEKEIČIA BAC. Jei jūsų projektas viršija išlaidas, jūs tai stebite per:
- CV (Išlaidų dispersija) = EV − AC → rodo dabartinį viršijimo kiekį
- EAC → rodo patikslintą bendrų išlaidų prognozę
- VAC (Dispersija užbaigus) = BAC − EAC → rodo prognozuojamą galutinį viršijimą
Jei projekto apimtis oficialiai keičiasi (patvirtintas pakeitimo prašymas), tik tada BAC gali būti perskaičiuotas. Tai vadinama biudžeto peržiūra ir reikalauja formalios pokyčių kontrolės.
→ Sukurkite savo BAC naudodami mūsų nemokamą skaičiuoklę