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Five PMP® Exam Formulas
Explained
Presented by
Cornelius Fichtner, PMP
1.) Basic Earned Value Formulas
Concept

Formula

Result Interpretation

Cost Variance (CV)
Provides cost performance of the
project. Helps determine if the project is
proceeding as planned.

CV = EV - AC

Negative = over budget
Positive = under budget

Cost Performance Index (CPI)
Measure of cost efficiency on a project.
Ratio of earned value to actual cost.

CPI = EV / AC

1 is good. We are getting $1 for $1 spent.
>1 is better. We are getting >$1 for $1
spent.
<1 is bad. We are getting <$1 for $1 spent.

Schedule Variance (SV)
Provides schedule performance of the
project. Helps determine if the project
work is proceeding as planned.

SV = EV - PV

Positive = Ahead of schedule
Neutral = On schedule
Negative = Behind schedule

Schedule Performance Index (SPI)
Measure of schedule efficiency on a
project. Ratio of earned value to
planned value. Used to determine if a
project is behind, on or ahead of
schedule. Can be used to help predict
when a project will be completed.

SPI = EV / PV

1 is good. Progressing at the planned rate.
>1 is better. Progressing at a faster rate
<1 is bad. Progressing at a slower rate
2.) PERT
•
•

Program Evaluation and Review Technique (PERT): Beta
and Triangular distribution
Three point estimate for the expected duration of a
schedule activity using pessimistic, optimistic and most
likely durations. A probabilistic approach, using statistical
estimates of durations.

Formula

Result Interpretation

Beta = (Pessimistic + (4 * Most Likely) +
Optimistic) / 6

The result is the estimated duration of a schedule
activity expressed as a weighted average. This is
the preferred formula for the PMP Exam

Triangular = (Pessimistic + Most Likely +
Optimistic) / 3

The result is the estimated duration of a schedule
activity expressed as a simple average
3.) Early / Late Start and Finish
Concept

Formula

Interpretation

Early Finish (EF)
Determine when an activity will finish
at the earliest.

EF = (ES + duration) - 1

The earliest day on which
this activity can finish

Early Start (ES)
Determine when an activity can start
at the earliest.

ES = (EF of predecessor) + 1

The earliest day on which
this activity can start.

Late Finish (LF)
Determine when an activity should
finish at the latest.

LF = (LS of successor) - 1

The latest day on which this
activity can finish.

Late Start (LS)
Determine when an activity should
start at the latest.

LS = (LF - duration) + 1

The latest day on which this
activity can start.
4.) Net Present Value
•

Method for financial evaluation of long-term projects. (Also
described as Present value of cash inflow / benefits minus
present value of cash outflow / costs.)

Formula

Result Interpretation

Formula not required for exam. You only
need to be able to interpret NPV numbers
but not calculate them.

Positive NPV is good.
Negative NPV is bad.
The project with the higher NPV is the “better” project.
5.) Median and Mode
Concept

Formula

Interpretation

Median
The middle value that
separates the higher half from
the lower half of the data set.

Arrange the values from lowest value to
highest value and pick the middle one.
Example: 4 is the median in 2, 4, 6
If there is an even number of values, calculate
the mean of the two middle values. Example: 5
is the median in 2, 4, 6, 8 because 4 + 6 / 2 = 5

The result is a number
representing the
median.

Mode
The most frequent value in a
given data set.

Find the value in a data set that occurs most
often. Example: 2 is the mode of 1, 2, 2, 3

The result is a number
representing the
mode.
Take Action
•

There are a total of 49 formulas that you need to
know for the PMP® Exam
• There are also 18 important values and 27
acronyms you need to understand
• Stop by at www.pmformulas.com and review our
complete PMP® Exam Formula Study Guide
• Be certain that you study the right formulas.
Disclaimer
PMI, PMP, CAPM, PgMP, PMI-ACP, PMI-SP, PMI-RMP and
PMBOK are trademarks of the Project Management Institute, Inc.
PMI has not endorsed and did not participate in the development of
this publication. PMI does not sponsor this publication and makes
no warranty, guarantee or representation, expressed or implied as
to the accuracy or content. Every attempt has been made by OSP
International LLC to ensure that the information presented in this
publication is accurate and can serve as preparation for the PMP
certification exam. However, OSP International LLC accepts no
legal responsibility for the content herein. This document should be
used only as a reference and not as a replacement for officially
published material. Using the information from this document does
not guarantee that the reader will pass the PMP certification exam.
No such guarantees or warranties are implied or expressed by
OSP International LLC

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Five PMP® Exam Formulas Explained

  • 1. Five PMP® Exam Formulas Explained Presented by Cornelius Fichtner, PMP
  • 2. 1.) Basic Earned Value Formulas Concept Formula Result Interpretation Cost Variance (CV) Provides cost performance of the project. Helps determine if the project is proceeding as planned. CV = EV - AC Negative = over budget Positive = under budget Cost Performance Index (CPI) Measure of cost efficiency on a project. Ratio of earned value to actual cost. CPI = EV / AC 1 is good. We are getting $1 for $1 spent. >1 is better. We are getting >$1 for $1 spent. <1 is bad. We are getting <$1 for $1 spent. Schedule Variance (SV) Provides schedule performance of the project. Helps determine if the project work is proceeding as planned. SV = EV - PV Positive = Ahead of schedule Neutral = On schedule Negative = Behind schedule Schedule Performance Index (SPI) Measure of schedule efficiency on a project. Ratio of earned value to planned value. Used to determine if a project is behind, on or ahead of schedule. Can be used to help predict when a project will be completed. SPI = EV / PV 1 is good. Progressing at the planned rate. >1 is better. Progressing at a faster rate <1 is bad. Progressing at a slower rate
  • 3. 2.) PERT • • Program Evaluation and Review Technique (PERT): Beta and Triangular distribution Three point estimate for the expected duration of a schedule activity using pessimistic, optimistic and most likely durations. A probabilistic approach, using statistical estimates of durations. Formula Result Interpretation Beta = (Pessimistic + (4 * Most Likely) + Optimistic) / 6 The result is the estimated duration of a schedule activity expressed as a weighted average. This is the preferred formula for the PMP Exam Triangular = (Pessimistic + Most Likely + Optimistic) / 3 The result is the estimated duration of a schedule activity expressed as a simple average
  • 4. 3.) Early / Late Start and Finish Concept Formula Interpretation Early Finish (EF) Determine when an activity will finish at the earliest. EF = (ES + duration) - 1 The earliest day on which this activity can finish Early Start (ES) Determine when an activity can start at the earliest. ES = (EF of predecessor) + 1 The earliest day on which this activity can start. Late Finish (LF) Determine when an activity should finish at the latest. LF = (LS of successor) - 1 The latest day on which this activity can finish. Late Start (LS) Determine when an activity should start at the latest. LS = (LF - duration) + 1 The latest day on which this activity can start.
  • 5. 4.) Net Present Value • Method for financial evaluation of long-term projects. (Also described as Present value of cash inflow / benefits minus present value of cash outflow / costs.) Formula Result Interpretation Formula not required for exam. You only need to be able to interpret NPV numbers but not calculate them. Positive NPV is good. Negative NPV is bad. The project with the higher NPV is the “better” project.
  • 6. 5.) Median and Mode Concept Formula Interpretation Median The middle value that separates the higher half from the lower half of the data set. Arrange the values from lowest value to highest value and pick the middle one. Example: 4 is the median in 2, 4, 6 If there is an even number of values, calculate the mean of the two middle values. Example: 5 is the median in 2, 4, 6, 8 because 4 + 6 / 2 = 5 The result is a number representing the median. Mode The most frequent value in a given data set. Find the value in a data set that occurs most often. Example: 2 is the mode of 1, 2, 2, 3 The result is a number representing the mode.
  • 7. Take Action • There are a total of 49 formulas that you need to know for the PMP® Exam • There are also 18 important values and 27 acronyms you need to understand • Stop by at www.pmformulas.com and review our complete PMP® Exam Formula Study Guide • Be certain that you study the right formulas.
  • 8. Disclaimer PMI, PMP, CAPM, PgMP, PMI-ACP, PMI-SP, PMI-RMP and PMBOK are trademarks of the Project Management Institute, Inc. PMI has not endorsed and did not participate in the development of this publication. PMI does not sponsor this publication and makes no warranty, guarantee or representation, expressed or implied as to the accuracy or content. Every attempt has been made by OSP International LLC to ensure that the information presented in this publication is accurate and can serve as preparation for the PMP certification exam. However, OSP International LLC accepts no legal responsibility for the content herein. This document should be used only as a reference and not as a replacement for officially published material. Using the information from this document does not guarantee that the reader will pass the PMP certification exam. No such guarantees or warranties are implied or expressed by OSP International LLC