Earned Value Management formulas
Earned Value Management (EVM) apgūšana nozīmē tā formulu apgūšanu. Neatkarīgi no tā, vai jūs pārvaldāt vairāku miljonu dolāru būvniecības projektu, vai gatavojaties PMP® eksāmenam, ir ļoti svarīgi saprast, kā šīs metrikas savstarpēji mijiedarbojas.
15 galvenie EVM termini (ieskaitot vecos nosaukumus)
| Saīsinājums | Vecais nosaukums (joprojām PMP) | Pilns nosaukums | Nozīme |
|---|---|---|---|
| BAC | — | Budžets pabeidzot | Sākotnējais projekta budžets |
| PV | BCWS | Plānotā vērtība | Ieplānotā darba budžetētās izmaksas |
| EV | BCWP | Nopelnītā vērtība | Paveiktā darba budžetētās izmaksas |
| AC | ACWP | Faktiskās izmaksas | Paveiktā darba faktiskās izmaksas |
| CPI | — | Izmaksu veiktspējas indekss | Izmaksu efektivitāte (vairāk nekā 1 ir labi) |
| SPI | — | Grafika veiktspējas indekss | Grafika efektivitāte (vairāk nekā 1 ir labi) |
| CV | — | Izmaksu novirze | Izmaksu deficīts/pārpalikums ($) |
| SV | — | Grafika novirze | Grafika deficīts/pārpalikums ($) |
| EAC | — | Aprēķins pabeidzot | Prognozētās kopējās projekta izmaksas |
| ETC | — | Aprēķins līdz pabeigšanai | Prognozētās atlikušās izmaksas |
| VAC | — | Novirze pabeidzot | Prognozētais budžeta pārpalikums/deficīts |
| TCPI | — | Līdz pabeigšanai veiktspējas indekss | Nepieciešamā efektivitāte atlikušajiem darbiem |
4 EAC formulas (kad kuru izmantot)
Atšķirībā no CPI vai CV, kas ir tieši matemātiski aprēķini, EAC ir prognoze. Saskaņā ar PMBOK 6. izdevumu, 264.-265. lpp., jums ir jāizvēlas pareizā formula, pamatojoties uz jūsu projekta pašreizējo situāciju.
1. Tipiskā veiktspēja turpinās (Visbiežāk)
Izmantojiet, kad: Jūs sagaidāt, ka pašreizējā izmaksu efektivitāte (laba vai slikta) turpināsies visu atlikušo projekta laiku. Šis ir noklusējuma pieņēmums lielākajā daļā programmatūru un PMP eksāmenā.
2. Nākotnes darbi pēc plānotās likmes (Vienreizēja novirze)
Izmantojiet, kad: Pašreizējā izmaksu novirze bija neparasts notikums (piemēram, ekstrēmi laikapstākļi), un jūs stingri ticat, ka nākamie darbi noritēs precīzi atbilstoši sākotnējam budžetam.
3. Atlikušie darbi ar pašreizējo efektivitāti
Izmantojiet, kad: Tas patiesībā ir tas pats, kas 1. metode, tikai matemātiski paplašināts, lai parādītu, ka atlikušie darbi (BAC - EV) tiek vērtēti pēc pašreizējā CPI.
4. Gan izmaksas, gan grafiks ietekmē
Izmantojiet, kad: Projektam ir stingrs termiņš, un grafika kavēšanās (slikts SPI) spiedīs maksāt par virsstundām vai paātrinātu piegādi, kas vēl vairāk palielinās izmaksu pārtēriņu.
Divi pilnīgi praktiski piemēri
Piemērs A: Projekts ar grūtībām
IT projektam ir BAC $500,000. Pēc 6 mēnešiem jūs plānojāt pabeigt 50% ($250,000) no darbiem. Taču jūs faktiski esat pabeiguši tikai 30% un esat iztērējuši jau $200,000.
- PV = $250,000
- EV =
Earned Value Management Formulas
Mastering Earned Value Management (EVM) means mastering its formulas. Whether you are managing a multi-million dollar construction project or preparing for your PMP® exam, understanding how these metrics interlock is crucial.
The 15 Core EVM Terms (Including Old Names)
Abbreviation Old Name (Still on PMP) Full Name Meaning BAC — Budget at Completion Original project budget PV BCWS Planned Value Budgeted cost of work scheduled EV BCWP Earned Value Budgeted cost of work performed AC ACWP Actual Cost Actual cost of work performed CPI — Cost Performance Index Cost efficiency (above 1 is good) SPI — Schedule Performance Index Schedule efficiency (above 1 is good) CV — Cost Variance Cost deficit/surplus ($) SV — Schedule Variance Schedule deficit/surplus ($) EAC — Estimate at Completion Forecasted total project cost ETC — Estimate to Complete Forecasted remaining cost VAC — Variance at Completion Forecasted budget surplus/deficit TCPI — To-Complete Perf. Index Efficiency needed on remaining work The 4 EAC Formulas (When to Use Which)
Estimate at Completion (EAC) does not have just one formula. According to PMBOK 6th Edition p.265, you must choose the right formula based on your project's current reality.
1. Typical Performance Continues (Most Common)
EAC = BAC / CPIWhen to use: You expect your team's past cost performance to continue at the same rate. This is the default EAC formula used in most software and the most commonly tested on the PMP exam.
2. Future Work at Planned Rate (One-Time Variance)
EAC = AC + (BAC - EV)When to use: The variance was a one-time event not expected to recur. All future work will proceed exactly as originally budgeted.
3. Remaining Work at Current Efficiency
EAC = AC + ((BAC - EV) / CPI)When to use: Both past and future work are affected by the same sustained CPI impact. Note: this formula is mathematically identical to EAC = BAC / CPI (see derivation below).
4. Both Cost AND Schedule Factored In
EAC = AC + [(BAC - EV) / (CPI × SPI)]When to use: Your project is behind schedule and you must meet the original deadline. Because you have to rush (overtime, extra resources), the schedule delay will cause additional cost overruns.
Two Complete Worked Examples
Example A: The Struggling Project
A software project has a BAC of $100,000. Currently, PV = $40,000, EV = $30,000, and AC = $45,000.
- CPI = EV / AC = 30,000 / 45,000 = 0.67 (Severe cost overrun)
- SPI = EV / PV = 30,000 / 40,000 = 0.75 (Behind schedule)
- EAC (Formula 1) = 100,000 / 0.67 = $149,253 (Projected to cost ~50% more than planned)
- ETC = 149,253 - 45,000 = $104,253 (Money still needed to finish)
Example B: The Ahead-of-Schedule Project
A construction project has a BAC of $500,000. Currently, PV = $200,000, EV = $250,000, and AC = $230,000.
- CPI = EV / AC = 250,000 / 230,000 = 1.08 (Under budget)
- SPI = EV / PV = 250,000 / 200,000 = 1.25 (Ahead of schedule)
- EAC (Formula 1) = 500,000 / 1.08 = $462,962 (Projected to save ~$37,000)
Formula Derivation Walkthrough
Why does
EAC = BAC / CPIgive the same result asEAC = AC + (BAC − EV) / CPI? Here is the algebra:EAC = AC + (BAC − EV) / CPI→ Open the Free BAC Calculator 50,000 (0.30 × 500,000)
EAC = AC + BAC/CPI − EV/CPI
Since CPI = EV/AC, it follows that EV/CPI = AC
EAC = AC + BAC/CPI − AC
EAC = BAC / CPI ✓ - AC = $200,000
- CV = 150,000 - 200,000 = -$50,000 (pārsniedz budžetu)
- SV = 150,000 - 250,000 = -
Earned Value Management Formulas
Mastering Earned Value Management (EVM) means mastering its formulas. Whether you are managing a multi-million dollar construction project or preparing for your PMP® exam, understanding how these metrics interlock is crucial.
The 15 Core EVM Terms (Including Old Names)
Abbreviation Old Name (Still on PMP) Full Name Meaning BAC — Budget at Completion Original project budget PV BCWS Planned Value Budgeted cost of work scheduled EV BCWP Earned Value Budgeted cost of work performed AC ACWP Actual Cost Actual cost of work performed CPI — Cost Performance Index Cost efficiency (above 1 is good) SPI — Schedule Performance Index Schedule efficiency (above 1 is good) CV — Cost Variance Cost deficit/surplus ($) SV — Schedule Variance Schedule deficit/surplus ($) EAC — Estimate at Completion Forecasted total project cost ETC — Estimate to Complete Forecasted remaining cost VAC — Variance at Completion Forecasted budget surplus/deficit TCPI — To-Complete Perf. Index Efficiency needed on remaining work The 4 EAC Formulas (When to Use Which)
Estimate at Completion (EAC) does not have just one formula. According to PMBOK 6th Edition p.265, you must choose the right formula based on your project's current reality.
1. Typical Performance Continues (Most Common)
EAC = BAC / CPIWhen to use: You expect your team's past cost performance to continue at the same rate. This is the default EAC formula used in most software and the most commonly tested on the PMP exam.
2. Future Work at Planned Rate (One-Time Variance)
EAC = AC + (BAC - EV)When to use: The variance was a one-time event not expected to recur. All future work will proceed exactly as originally budgeted.
3. Remaining Work at Current Efficiency
EAC = AC + ((BAC - EV) / CPI)When to use: Both past and future work are affected by the same sustained CPI impact. Note: this formula is mathematically identical to EAC = BAC / CPI (see derivation below).
4. Both Cost AND Schedule Factored In
EAC = AC + [(BAC - EV) / (CPI × SPI)]When to use: Your project is behind schedule and you must meet the original deadline. Because you have to rush (overtime, extra resources), the schedule delay will cause additional cost overruns.
Two Complete Worked Examples
Example A: The Struggling Project
A software project has a BAC of $100,000. Currently, PV = $40,000, EV = $30,000, and AC = $45,000.
- CPI = EV / AC = 30,000 / 45,000 = 0.67 (Severe cost overrun)
- SPI = EV / PV = 30,000 / 40,000 = 0.75 (Behind schedule)
- EAC (Formula 1) = 100,000 / 0.67 = $149,253 (Projected to cost ~50% more than planned)
- ETC = 149,253 - 45,000 = $104,253 (Money still needed to finish)
Example B: The Ahead-of-Schedule Project
A construction project has a BAC of $500,000. Currently, PV = $200,000, EV = $250,000, and AC = $230,000.
- CPI = EV / AC = 250,000 / 230,000 = 1.08 (Under budget)
- SPI = EV / PV = 250,000 / 200,000 = 1.25 (Ahead of schedule)
- EAC (Formula 1) = 500,000 / 1.08 = $462,962 (Projected to save ~$37,000)
Formula Derivation Walkthrough
Why does
EAC = BAC / CPIgive the same result asEAC = AC + (BAC − EV) / CPI? Here is the algebra:EAC = AC + (BAC − EV) / CPI→ Open the Free BAC Calculator 00,000 (atpaliek no grafika)
EAC = AC + BAC/CPI − EV/CPI
Since CPI = EV/AC, it follows that EV/CPI = AC
EAC = AC + BAC/CPI − AC
EAC = BAC / CPI ✓ - CPI = 150,000 / 200,000 = 0.75 (izmaksā par ~33% vairāk nekā plānots)
- SPI = 150,000 / 250,000 = 0.60 (strādā tikai ar 60% no plānotā ātruma)
- EAC = 500,000 / 0.75 = $666,666
Piemērs B: Veiksmīgs projekts
Būvniecības projektam ir BAC $2,000,000. Jūs atrodaties 3 mēnešu atzīmē. Jūs plānojāt iztērēt $400,000. Jūs esat pabeidzis darbus par $500,000, un faktiski iztērējāt tikai $450,000.
- PV = $400,000
- EV = $500,000
- AC = $450,000
- CV = 500,000 - 450,000 = $50,000 (ietaupījums)
- SV = 500,000 - 400,000 =
Earned Value Management Formulas
Mastering Earned Value Management (EVM) means mastering its formulas. Whether you are managing a multi-million dollar construction project or preparing for your PMP® exam, understanding how these metrics interlock is crucial.
The 15 Core EVM Terms (Including Old Names)
Abbreviation Old Name (Still on PMP) Full Name Meaning BAC — Budget at Completion Original project budget PV BCWS Planned Value Budgeted cost of work scheduled EV BCWP Earned Value Budgeted cost of work performed AC ACWP Actual Cost Actual cost of work performed CPI — Cost Performance Index Cost efficiency (above 1 is good) SPI — Schedule Performance Index Schedule efficiency (above 1 is good) CV — Cost Variance Cost deficit/surplus ($) SV — Schedule Variance Schedule deficit/surplus ($) EAC — Estimate at Completion Forecasted total project cost ETC — Estimate to Complete Forecasted remaining cost VAC — Variance at Completion Forecasted budget surplus/deficit TCPI — To-Complete Perf. Index Efficiency needed on remaining work The 4 EAC Formulas (When to Use Which)
Estimate at Completion (EAC) does not have just one formula. According to PMBOK 6th Edition p.265, you must choose the right formula based on your project's current reality.
1. Typical Performance Continues (Most Common)
EAC = BAC / CPIWhen to use: You expect your team's past cost performance to continue at the same rate. This is the default EAC formula used in most software and the most commonly tested on the PMP exam.
2. Future Work at Planned Rate (One-Time Variance)
EAC = AC + (BAC - EV)When to use: The variance was a one-time event not expected to recur. All future work will proceed exactly as originally budgeted.
3. Remaining Work at Current Efficiency
EAC = AC + ((BAC - EV) / CPI)When to use: Both past and future work are affected by the same sustained CPI impact. Note: this formula is mathematically identical to EAC = BAC / CPI (see derivation below).
4. Both Cost AND Schedule Factored In
EAC = AC + [(BAC - EV) / (CPI × SPI)]When to use: Your project is behind schedule and you must meet the original deadline. Because you have to rush (overtime, extra resources), the schedule delay will cause additional cost overruns.
Two Complete Worked Examples
Example A: The Struggling Project
A software project has a BAC of $100,000. Currently, PV = $40,000, EV = $30,000, and AC = $45,000.
- CPI = EV / AC = 30,000 / 45,000 = 0.67 (Severe cost overrun)
- SPI = EV / PV = 30,000 / 40,000 = 0.75 (Behind schedule)
- EAC (Formula 1) = 100,000 / 0.67 = $149,253 (Projected to cost ~50% more than planned)
- ETC = 149,253 - 45,000 = $104,253 (Money still needed to finish)
Example B: The Ahead-of-Schedule Project
A construction project has a BAC of $500,000. Currently, PV = $200,000, EV = $250,000, and AC = $230,000.
- CPI = EV / AC = 250,000 / 230,000 = 1.08 (Under budget)
- SPI = EV / PV = 250,000 / 200,000 = 1.25 (Ahead of schedule)
- EAC (Formula 1) = 500,000 / 1.08 = $462,962 (Projected to save ~$37,000)
Formula Derivation Walkthrough
Why does
EAC = BAC / CPIgive the same result asEAC = AC + (BAC − EV) / CPI? Here is the algebra:EAC = AC + (BAC − EV) / CPI→ Open the Free BAC Calculator 00,000 (apsteidz grafiku)
EAC = AC + BAC/CPI − EV/CPI
Since CPI = EV/AC, it follows that EV/CPI = AC
EAC = AC + BAC/CPI − AC
EAC = BAC / CPI ✓ - CPI = 500,000 / 450,000 = 1.11 (lieliska izmaksu efektivitāte)
- SPI = 500,000 / 400,000 = 1.25 (lieliska grafika efektivitāte)
- EAC = 2,000,000 / 1.11 =
Earned Value Management Formulas
Mastering Earned Value Management (EVM) means mastering its formulas. Whether you are managing a multi-million dollar construction project or preparing for your PMP® exam, understanding how these metrics interlock is crucial.
The 15 Core EVM Terms (Including Old Names)
Abbreviation Old Name (Still on PMP) Full Name Meaning BAC — Budget at Completion Original project budget PV BCWS Planned Value Budgeted cost of work scheduled EV BCWP Earned Value Budgeted cost of work performed AC ACWP Actual Cost Actual cost of work performed CPI — Cost Performance Index Cost efficiency (above 1 is good) SPI — Schedule Performance Index Schedule efficiency (above 1 is good) CV — Cost Variance Cost deficit/surplus ($) SV — Schedule Variance Schedule deficit/surplus ($) EAC — Estimate at Completion Forecasted total project cost ETC — Estimate to Complete Forecasted remaining cost VAC — Variance at Completion Forecasted budget surplus/deficit TCPI — To-Complete Perf. Index Efficiency needed on remaining work The 4 EAC Formulas (When to Use Which)
Estimate at Completion (EAC) does not have just one formula. According to PMBOK 6th Edition p.265, you must choose the right formula based on your project's current reality.
1. Typical Performance Continues (Most Common)
EAC = BAC / CPIWhen to use: You expect your team's past cost performance to continue at the same rate. This is the default EAC formula used in most software and the most commonly tested on the PMP exam.
2. Future Work at Planned Rate (One-Time Variance)
EAC = AC + (BAC - EV)When to use: The variance was a one-time event not expected to recur. All future work will proceed exactly as originally budgeted.
3. Remaining Work at Current Efficiency
EAC = AC + ((BAC - EV) / CPI)When to use: Both past and future work are affected by the same sustained CPI impact. Note: this formula is mathematically identical to EAC = BAC / CPI (see derivation below).
4. Both Cost AND Schedule Factored In
EAC = AC + [(BAC - EV) / (CPI × SPI)]When to use: Your project is behind schedule and you must meet the original deadline. Because you have to rush (overtime, extra resources), the schedule delay will cause additional cost overruns.
Two Complete Worked Examples
Example A: The Struggling Project
A software project has a BAC of $100,000. Currently, PV = $40,000, EV = $30,000, and AC = $45,000.
- CPI = EV / AC = 30,000 / 45,000 = 0.67 (Severe cost overrun)
- SPI = EV / PV = 30,000 / 40,000 = 0.75 (Behind schedule)
- EAC (Formula 1) = 100,000 / 0.67 = $149,253 (Projected to cost ~50% more than planned)
- ETC = 149,253 - 45,000 = $104,253 (Money still needed to finish)
Example B: The Ahead-of-Schedule Project
A construction project has a BAC of $500,000. Currently, PV = $200,000, EV = $250,000, and AC = $230,000.
- CPI = EV / AC = 250,000 / 230,000 = 1.08 (Under budget)
- SPI = EV / PV = 250,000 / 200,000 = 1.25 (Ahead of schedule)
- EAC (Formula 1) = 500,000 / 1.08 = $462,962 (Projected to save ~$37,000)
Formula Derivation Walkthrough
Why does
EAC = BAC / CPIgive the same result asEAC = AC + (BAC − EV) / CPI? Here is the algebra:EAC = AC + (BAC − EV) / CPI→ Open the Free BAC Calculator ,801,801
EAC = AC + BAC/CPI − EV/CPI
Since CPI = EV/AC, it follows that EV/CPI = AC
EAC = AC + BAC/CPI − AC
EAC = BAC / CPI ✓
Šo EVM formulu izpratne ļauj projektu vadītājiem ziņot ieinteresētajām personām par faktisko, kvantitatīvi novērtējamo projekta veselību, pilnībā novēršot minējumus no ziņošanas.
→ Izmēģiniet EVM kalkulatoru