估计在Completion (EAC) is a forecasting tool in project management.
预测有助于预测项目的未来绩效。它基于项目的过去和客观数据。这些信息使您可以猜测未来的进度并找到偏差的早期迹象。
We have three forecasting techniques in project management:
- 估计在Completion (EAC)
- 美国东部时间imate to Complete (ETC)
- 完成绩效指数(TCPI)
This blog post will briefly discuss Estimate at Completion (EAC), its definition, formula, and examples with calculations.
完成时的估计值是多少(EAC)?
Definition & Meaning: Estimate at Completion (EAC)is the expected cost of the project that includes the spent cost plus the expected cost required to complete the remaining project work.
根据项目管理知识体系指南,在Combob手机客户端pleti估计on is “The expected total cost of completing all work expressed as the sum of the actual cost to date and the estimate to complete.”
Just in case the definition above doesn’t give you a complete picture, let me give you a simple example.
Let’s say you are somewhere in your project. The client asks you how much they have to spend to complete the project, and your project has deviated from the cost baseline.
这refore, you will estimate the new budget and give this number to the client. This is the
估计完成(EAC)。估计在Completion allows the project manager to see the final project cost estimate.
Project work does not always go as planned. Many circumstances beyond your control may require a change in your plan. Funding requirements keep on changing from the moment the project starts.
It is your responsibility as a project manager to influence the factors that cause changes. However, if alterations occur, you have to manage them.
You will evaluate the impact of each change on the project’s objectives and take action as needed.
You can calculate the Estimate at Completion in three different scenarios.
Case 1: EAC = BAC / CPI
You assume that the project will continue to perform, to the end, as it has been performing in this scenario.
In other words, your future performance will be the same as your past performance. Therefore, the CPI will remain unchanged until the project ends.
完成时估算的公式
You can calculate Estimate at Completion by dividing the Budget at Completion by the Cost Performance Index.
完成时的估计=(完成预算) /(成本绩效指数)
Or,
EAC = BAC / CPI
- 如果CPI = 1,则EAC = BAC。这意味着您可以通过批准的预算分析来完成项目。
- 完成时的估计值将等于项目开始时完成的预算,即eac = bac。
Example of the Estimate at Completion (Case 1)
You have a project to be completed in 12 months, and the cost is 100,000 USD. 6 months have passed, and 60,000 USD has been spent, but upon closer review, you find that only 40% of the work has been completed.
在完成时找到该项目的估计值(EAC)。
Given in the question:
Budget at Completion (BAC) = 100,000 USD
Actual Cost (AC) = 60,000 USD
Planned Value (PV) = 50% of 100,000
= 50,000 USD
问题没有说计划的价值为50%。但是,它说持续时间为12个月,已经过去了6个月。在这种情况下,您可以安全地假设PV为50%,除非在问题中给出。
Earned Value (EV) = 40% of 100,000
= 40,000美元
First, you have to calculate the Cost Performance Index to calculate the EAC:
Cost Performance Index (CPI) = EV / AC
= 40,000 / 60,000
= 0.67
=>Cost Performance Index (CPI) = 0.67
现在,
完成时的估计(EAC)= BAC / CPI
= 100,000 / 0.67
= 149,253.73
Hence, the Estimate at Completion (EAC) is 149,253.73 USD.
In other words, if the project continues with CPI = 0.67 until the end, you will have to spend 149,253.73 USD to complete it.
完成时的估计值(EAC)给出了该项目将在结束时花费的金额。
这估计在Completion can be determined by four methods, depending on how the project is performing. However, from a PMP certification exam point of view, the first method is the most important. There is a smaller chance you will see questions based on the others.
Case 2: EAC = AC + (BAC – EV)
在这里,您已经偏离了预算估算,但是从现在开始,您可以按计划完成剩余的工作。
Unforeseen circumstances or one-time incidents can cause this and increase costs. However, it will not happen again, and you can complete the remaining work as planned.
In this formula, you add the money spent to date to the budgeted cost of the remaining work.
完成时估算的公式
这formula to calculate the Estimate at Completion in this case is:
估计在Completion = Money spent to date + budgeted cost for the remaining work
EAC = AC + (BAC – EV)
完成时的估计示例(情况2)
You have a project with a budget of 500,000 USD. An incident during the execution phase costs you a lot of money. However, you are sure that this will not happen again and that you can continue with your calculated performance for the rest of the project.
迄今为止,您已经花费了200,000美元,完成的工作价值为175,000美元。
Calculate the Estimate at Completion (EAC).
You will use this formula because the cost increase is temporary, and you can complete the rest of the project as planned.
估计在Completion = Money spent to date + (Budgeted cost for the remaining work – Earned Value)
EAC = AC + (BAC – EV)
Given in the question:
Actual Cost (AC) = 200,000 USD
Budget at Completion (BAC) = 500,000
赚取价值(EV)= 175,000
Hence,
EAC = 200,000 + (500,000 – 175,000)
= 200,000 + 325,000
= 525,000 USD
Hence, the Estimate at Completion is 525,000 USD.
Case 3: EAC = AC + [(BAC – EV) / (CPI * SPI)]
You are over budget, behind schedule, and the client insists you complete the project on time. The cost and schedule performance must be taken into consideration.
完成时估算的公式
估计在Completion = Money spent to date + (Budgeted cost for the remaining work – Earned Value) / (Cost Performance Index * Schedule Performance Index)
EAC = AC + [(BAC – EV) / (CPI * SPI)]
Example the Estimate at Completion (Case 3)
您的项目固定截止日期为500,000美元。迄今为止,您已经花费了200,000美元,完成的工作价值为175,000美元。但是,根据时间表,您现在应该已经赚取225,000美元。
Calculate the Estimate at Completion (EAC).
Given in the question:
Budget at Completion (BAC) = 500,000 USD
Actual Cost (AC) = 200,000 USD
赚取价值(EV)= 175,000USD
Planned Value (PV) = 225,000 USD
To calculate the EAC, first, you have to calculate the CPI and SPI:
SPI = EV / PV
= 175,000 / 225,000
= 0.78
CPI = EV / AC
= 175,000 / 200,000
= 0.88
现在,you can use the formula:
EAC = AC + [(BAC – EV) / (CPI * SPI)]
= 200,000 + (500,000 –175,000) / (0.88 * 0.78)
= 200,000 + 325,000 / 0.69
= 200,000 + 471,000
= 671,000美元
因此,完成时的估计值为671,000美元。
Case 4: EAC = AC + Bottom-up Estimate to Complete
In this situation, you find out that your cost estimate was flawed, and you must calculate the new cost estimate for the remaining project work.
Here, you will go to the activity level to find each cost, add them, and get the cost of the remaining work.
估计在完成的例子(例4)
You have a project to construct a government department building for 500,000 USD. To date, you have spent 200,000 USD, and the value of the completed work is 175,000 USD. However, you noticed your cost estimation was flawed. Therefore, you need to calculate your budget again for the remainder of the project.
You gather your team members and re-estimate the cost of the remaining work. Your new estimate shows that it would take 400,000 USD to complete the remainder of the project.
Calculate the Estimate at Completion (EAC).
Given in the question:
Budget at Completion (BAC) = 500,000 USD
Actual Cost (AC) = 200,000 USD
赚取价值(EV)= 175,000USD
Bottom-up Estimate to Complete = 400,000 USD
在这里,您将使用公式:
EAC = AC + Bottom-up Estimate to Complete
= 200,000 + 400,000
= 600,000 USD
Hence, the Estimate at Completion is 600,000 USD.
预测技术#2:估计完成(等)
美国东部时间imate to Completeis the second forecasting technique. It is the cost of completing the remaining work.
美国东部时间imate to Complete = Estimate at Completion – Actual Cost
ETC = EAC – AC
Forecasting Technique #3: To Complete Performance Index (TCPI)
这To Complete Performance Indexestimates how fast you have to move to achieve the target.
It is the estimate of the future cost that you may need to complete the project within the approved budget. This budget may be the BAC or an updated budget, i.e., Estimate at Completion (EAC).
TCPI =(剩余工作) /(剩余资金)
TCPI =(BAC - EV) /(BAC - AC)
Or
TCPI =(BAC - EV) /(EAC - AC)
完成时的估计(EAC)表
估计在Completion (EAC) Graph
Summary
这估计在Completion is an excellent forecasting tool. It allows project managers to make realistic budget revisions. It gives you a mid-project estimation of the overall cost that your project may take to complete. Once this estimate is approved, this will be your new budget. The EAC is not fixed; it may change as the project progresses. Estimate at Completion should be revised periodically or as defined in the project management plan.
您的项目期间,您多久使用一次估算值(EAC)?请在评论部分分享您的经验。
This blog post is the fifth in eleven series on Earned Value Management and project forecasting. Please read through my previous posts before reading this post if you’re coming here from a search engine or a referral.
这following are the links for other blog posts:
- Earned Value Management
- Elements of Earned Value Management
- Budget at Completion in Project Management
- Cost Variance in Project Management
- Schedule Variance in Project Management
- Cost Performance Index in Project Management
- Schedule Performance Index in Project Management
- Schedule Variance and Cost Variance
- Schedule Performance Index and Cost Performance Index
- 估计在Completion (You are here)
- 美国东部时间imate to Complete
- To Complete Performance Index
First of all…very helpful so thanks. I believe i see an error where “Budgeted cost for the remaining work” already includes the subtraction of the earned value in Case 3.
估计在Completion = Money spent to date + (Budgeted cost for the remaining work – Earned Value) / (Cost Performance Index * Schedule Performance Index)
EAC = AC +(BAC - EV) /(CPI * SPI)
Please refer to the PMBOK Guide 6th edition page: 265.
这formula is right, but in the explanation it is saying budgeted cost of work remaining is equal to BAC – EV
It should either say Budget at completion – Earned value (BAC – EV)
or just say Budgeted cost of Work remaining for (BAC – EV) because the fact is
BAC - EV实际上是剩余的预算成本
What is “Earned value (BAC – EV)”
我尝试使用所有4个公式用于EAC,具有相同的情况(下面的示例),并获得不同的值作为结果。这是否意味着我们必须根据项目情况选择正确的公式,否则我们可能会获得误导性信息/解释?
Example:
BAC = 100,000
AC = 60,000
EV = 40,000
PV = 50,000
Every formula should be used for corresponding situation.
Fahad,
非常感谢您的解释。我发现它们非常有帮助。一个问题。
In Case 3, why wasn’t the calculation 200,000+325,000 = 525,000 then 525,000/.69 = $760,870
Please explain. Many thanks, Trudy
Hello Trudy, you have to input values in formulas as is. Derivation of this formula is beyond the scope of the PMP exam.
嗨,法哈德,
I have a question about what you said about EAC especially with the statement of formula:
EAC = AC + (BAC – EV)
您为什么说(剩余工作的预算成本 - 赚取价值)……如果我错了,请纠正我。
Regards
Abahussein
It is Budgeted Cost of the work – Earned Value.
Working as a Contractor with signed contract agreement, estimate can’t be altered. Please guide in this scenario.
If it is a fixed priced contract, the cost cannot be changed.
I have been teaching and accomplishing Earned Value Project Analysis for over 20 years and I do have some spreadsheets for the development of IEACs.
Your for the asking.
感谢罗杰问。您可以将它们发送到[email protected]
when you say a project is complete?
a)完成时的预算等于赚取的价值
b) Earned value is equal to Cost value
write the most authentic relationship
When the project is completed, earned value is equal to planned value.
When you revise the budget, your EAC will be your new BAC.
Hello Fahad
I could not pass my PMP in first attempt. I am studying again. The exam is changing after Jan 11th. What would be your suggestion about changes coming up. Should I try to give exam before or after. Kindly advise.Thank you
One month time is enough to prepare for the second attempt. You can try it before the exam changes.
Fahad,
When can we apply these formulas?
EAC= AC+(BAC-EV)/CPI*SPI
EAC=AC+(BAC-EV)/CPI
EAC=BAC/CPI
EAC = BAC/CPI*SPI
All three formula mentioned in the PMBOK Guide has already been explained in this blog post.
Dear Fahad,
谢谢for the detailed explanation.
I am confused with some calculation and need guidance.
In the 1st example(1st case) where EAC = BAC/CPI, BAC = 100000, EV = 40000 and AC = 60000. CPI = 0.67 thus EAC = 100000/0.67 = 149253.7
But if we calculate it in another way EAC = 100000/(40000/60000), as per cross calculation EAC = (100000 * 60000)/40000 = 150000.
We get accurate values for normal equations like 5/(2/10) which can be 5/0.2 still 25 and 5*10/2 still 25. Here i am unable to understand the reason for this difference.
Can you guide !!
Regards,
Reshma
I took the round figure in decimal for CPI, that is why you are seeing this difference.
See references Marked for review
61.您正在对项目进行赚取的价值技术。
After budget approval, an additional and unexpected cost item has been identified, which made the project more expensive some weeks ago. The item has meanwhile been paid by the project team, and it is expected that for the remaining duration of the project, costs will be as budgeted.
在这种情况下,哪个是计算EAC的最佳公式(完成时估计)?
1 EaC = BaC – CV
2 EaC = BaC / CPI
3 EaC = AC + BtC / CV
4 You can not compute the EaC.
嗨,法哈德
Do we generally take the Commitments when we calculate the Actual Cost ?(to elaborate, Actual Cost todate + Commitments= Total Cost). To arrive at Estimate at Completion, is it fair to consider the Total cost rather tahn the Actual cost (as its already commited for the project) and estimate to complete should be remaining work to be done excluding the commitments.
Please throw some light on this
谢谢
Shri M
Whatever you have spend is Actual Cost.
另一部分,我不明白你的追求ion clearly. Please explain it again if you can.
嗨,法哈德,
Saw this pmstudy and it explains formula’s very well. I have a query regarding
Case-III: EAC = AC + (BAC – EV)/(CPI*SPI)
您的预算超过预算,落后于计划,然后您使用(CPI * SPI)
a)如果仅预算超过预算(在计划范围内) - 我们应该仅在底部使用CPI吗?- >> eac = ac +(bac - ev)/cpi
b) How about if only behind schedule (within budget) — Should we only use SPI at bottom ? —>>> EAC = AC + (BAC – EV)/SPI
那有意义吗?请告诉我 。谢谢
If you are over budget and within schedule you can use either case-I or case-II.
EAC is for cost estimation. If you are within budget and behind the schedule, you will go for schedule compression technique to bring project on schedule.
Can you please let me know why project schedule is input for determine budget process. It is planning process so why we are not using schedule baseline as input.
IF you read Rita, it says (and real scenario too) the cost of procurement (services or resources) may also vary on the “time of year” , eg raw material for cap may be expensive during winters , so overall cost of woolen production will go high if you choose to procure during winters , thus it is considered while determining budget.
Hope my understanding is correct .
Yes.
Dear Fahad,
If it possible to explain the following
what is the logic behind using $ ( Money value ) to measure time,i.e. using PV in the equations ( SV=EV-PV) to indicate that we are behind or ahead of schedule
谢谢and regards
这n tell me how are you going to measure the schedule?
logic wise we measure length in meter,Foot…etc
and time in Hours,days,…etc
在…中测量的时间表。时间
the results of SV should be measured in “time metrics”
So why the person who invented the Earned value management….considered planned value = $ ..i.e. Money…..and the results are behind schedule or ahead of schedule show time?
赚取的价值管理与这笔钱有关,这是关于您花了多少钱,以及您如何以$方式进步。
亲爱的fahed
great efforts as usual , i appreciate your efforts and your smooth explanation but if you don’t mind i have some questions:
1-在第1号情况下,尚未提及CPI在问题的末尾相同,因此,如果我在考试中遇到同样的问题,我该如何猜测CPI使用此问题将是相同的公式 ?
那似乎没有II,凸显了我们can complete the remaining work as planned , what does it mean ? I understood that BAC has to be the same until the end of the project , it means the value of BAC has to equal the EAC !! or how we can complete the remaining work as planned ? and finally you calculated EAC is 525000 while BAC is 500000 ! , so how we completed the remaining work as planned ?
提前致谢
Best regards
For case-I, I have already written that:
“In this scenario you assume that the project will continue to perform to the end as it was performing up until now”.
In the second case you have over spend till certain point, however, after that you can complete that tasks with previously estimated cost.
嗨,法哈德
只是在EVM中徘徊,
we have the EAC=AC+ETC , then we have the EAC = AC+ (BAC- EV)
Finally e have the EAC = AC+ (BAC-EV)/CPI
How was that driven?!
thanks much indeed for your support
ala’a
对于考试,足以知道公式,公式的推导不在考试范围之内。
这两个是不同的参数。为了进行计划表演,您只会查看SPI。
嗨,法哈德,
Can you explain about the TCPI (To Complete Performance Index)?
提前致谢
It is explained here:
//www.utahfilmbank.com/2012/05/to-complete-performance-index-tcpi-in-project-cost-management/