List of Important PMP Formulas for Certification Exam

This post enumerates important PMP formulas required for Project Management Professional (PMP) certification exam.  Though the PMP exam does not require elaborate calculations however, considering the time constraints recalling some formulas could be a challenge. Hence this resource could be of help to those preparing for the pmp exam as well as practicing professionals.

PMP Formulas Project Selection Methods

Net Present Value (NPV) PMP Formulas

Present Value (PV) = Future Value (FV) / (1+k)N

  • k = discounting factor / interest rate
  • N = Number of time periods

Net Present Value = [Sum of present value of all future cash inflows] – [Cash outflow]

  • NPV > 0 Accept the project
  • NPV < 0 Reject the project
  • While evaluating two or more projects select the project with greater NPV

Internal Rate of Return (IRR)

  • IRR is the discount rate at which NPV = 0
  • Select the project with higher IRR
  • IRR > k accept the project

Benefit Cost Ratio (BCR) / Cost Benefit Analysis (CBA)

Ratio of sum of present value of all future cash inflows to project cash outflow.

  • BCR > 1 Accept the project
  • BCR < 1 Reject the project

Payback Period

Length of time it takes to recover investments done in a project before the project starts generating profit.

  • Select projects with smaller payback period

Also read: Project Selection Methods

PERT PMP Formulas

Following are the PMP formulas for Program Evaluation and Review Technique (PERT)

Three Point Estimates PMP Formulas

3 Point Estimates Based on Beta Distribution

  • Activity Duration / Cost Estimates = (P + 4M + O) / 6
    • P = Pessimistic Value
    • M = Most Likely Value
    • O = Optimistic Value
  • Standard Deviation = (P – O) / 6
  • Variance = (Standard Deviation)2 = (P – O)2 / 36

3 Point Estimates Based on Triangular Distribution

  • Activity Duration / Cost Estimates = (P + M + O) / 3

Also read: Program Evaluation And Review Technique

Critical Path Method (CPM) PMP Formulas

Early Start (ES) PMP Formulas

PMP formula for Early Start if the convention that project starts on day zero is adopted

Early Start (ES) =

  • 0 for the first activity
  • ES of the next node is the earliest finish time of the immediately preceding activity.

For activities with more than one preceding activity ES is latest of the earliest finish times of the preceding activities.

PMP formula for Early Start (ES) if the convention that project starts on day one is adopted.

Early Start (ES) =

  • 1 for the first activity
  • ES of the next node is the earliest finish time of the immediately preceding activity plus 1 = EF + 1

For activities with more than one preceding activity ES is latest of the earliest finish times of the preceding activities.

Early Finish (EF) PMP Formulas

PMP formula for Early Finish (EF) if the convention that project starts on day zero is adopted.

  • Early Finish (EF) = ES + Activity Duration (D)

PMP formula for Early Finish (EF) if the convention that project starts on day one is adopted.

  • Early Finish (EF) = ES + Activity Duration (D) – 1

Late Finish (LF) PMP Formulas

PMP formula for Late Finish (LF) if the convention that project starts on day zero is adopted.

Late Finish (LF) =

  • LF of the last activity is equal to the EF of that activity
  • LF of the next node in backward pass is the latest start time of the activity that immediately follows

For activities with more than one activity that immediately follow, LF is the earliest of the latest start times of those activities.

PMP formula for Late Finish (LF) if the convention that project starts on day one is adopted.

Late Finish (LF) =

  • On Critical Path LF of the last activity is equal to the EF of that activity
  • The latest start time of the activity of the previous node minus 1 = LS -1

For activities with more than one previous node, LF is the earliest of the latest start times of those activities.

Late Start (LS) PMP Formulas

PMP formula for Late Finish (LS) if the convention that project starts on day zero is adopted.

  • Late Start (LS) = LF – Activity Duration (D)

PMP formula for Late Finish (LS) if the convention that project starts on day one is adopted.

  • Late Start (LS) = LF – Activity Duration (D) + 1

Critical Path PMP Formulas

  • For Critical Path ES = LS and EF = LF
  • For Critical Path Total Float = 0

Total / Free Float PMP Formulas

  • Total Float = LS – ES or LF – EF
  • Free Float = (ES)S – (EF)C [When Start = 0] Where S = Successor Activity and C = Current Activity
  • Free Float = (ES)S – (EF)C – 1 [When Start = 1]
Forward and Backward Pass Calculations In Critical Path Method Schedule Analysis
Critical Path Method (CPM) PMP Formulas for Forward and Backward Pass Calculations

Read Post Related to Critical Path Analysis

Cost to Crash

Cost to crash per period = (CC – NC) / (NT – CT)

  • CC = The activity cost associated with the crash time
  • NC = The activity cost associated with the normal time
  • NT = The time necessary to complete the activity under normal conditions
  • CT = The shortest possible time necessary to complete an activity

Cost Estimates PMP Formulas

  • Rough Order of Magnitude (ROM) Estimates = -25% to +75%
  • Definitive Estimates = -5% to +10%

Also Read: Wrong Cost Estimates Implications Solutions

Project Budget PMP Formulas

  • Work Package Cost Estimates = Activity Cost Estimates + Activity Contingency Reserve
  • Control Accounts = Work Package Cost Estimates + Contingency Reserve
  • Cost Baseline = Summation of Control Accounts
  • Project Budget = Cost Baseline + Management Reserve

Earned Value Management PMP Formulas

To view a complete list of Earned Value Management formulas visit the following resource page.

Number of Communication Channels

  • Number of communication channels = N(N – 1) / 2 ; Where N = Number of stakeholders

Statistics PMP Formulas

Mode

  • Mode is the most frequently occurring value in a set of data.

Median

  • Median is the middle value in the ordered set of numbers.
  • For odd number of terms the middle number is the median.
  • For an even number of terms the average of the middle two numbers is the median.

Mean

Arithmetic mean is the average of a group of numbers. It is calculated by adding all the numbers and dividing by the total count of the numbers.

  • Mean (µ) = ∑ X / N = (X1 + X2 + X3 + . . . . XN) / N

Range

Range is the difference between the largest and the lowest value in the data set.

Deviation

It is also known as deviation from the mean. In order to compute the deviation subtract mean from each value of data. Also, deviation from mean indicates the spread of the data.

Mean Absolute Deviation (MAD)

Mean absolute deviation is the average of the absolute values of the deviations around the mean for a set of numbers.

Variance

Average of the squared deviations about the arithmetic mean for a set of numbers is variance.

  • Variance (σ2) = ∑ (X – µ)2/ N

Standard Deviation

Standard deviation (σ) is square root of variance.

If a set of data is normally distributed then 68% of the data values fall within one standard deviation (µ ± 1σ) of the mean, 95% are within (µ  ± 2σ ) and 99.7% with in (µ ± 3σ).

Also read: Variance Analysis In Project Management

Expected Monetary Value (EMV) PMP Formulas

EMV = Probability X Net Path Value

  • Net Path Value = Pay offs – Costs along the path
  • EMV of opportunities = Positive Value
  • EMV of risks = Negative Value

Procurement Management PMP Formulas

  • Target Price = Target Cost + Target Fee
  • Final Fee = [(Target Cost – Actual Cost)*Sellers ratio] + Target Fee
  • Final Price = Actual Cost + Final Fee
  • Point of Total Assumption (PTA) = [(Ceiling Price – Target price) / Buyer’s Ratio] + Target Cost

Also read: Project Management Formulas

View Other Resources

PMBOK 5th Edition Study Notes

PMBOK 5th Edition Notes

PMBOK 5th Edition Study Notes PMBOK study notes in this page can act as a reference for understanding various project ...
Read More
PMP Formulas for pmi exam

PMP Formulas

List of Important PMP Formulas for Certification Exam This post enumerates important PMP formulas required for Project Management Professional (PMP) ...
Read More
Earned Value Formula and S Curve

Earned Value Formulas

Earned Value Formulas A Comprehensive Reference Guide Professionals as well as pmp aspirants frequently need to refer to earned value ...
Read More

Read posts related to PMP Certification

PDU Professional Development Units Explained
The most important aspect of maintaining PMP certification is investing time in acquiring and reporting PDU. It is essential to ...
Read More
PMP Certification Exam Changes 2019
June 2019, PMI announced PMP certification exam changes via an updated pmp exam content outline. First thing to remember is ...
Read More
Project Management Formulas
There are a number of project management formulas to perform quantitative analysis, but from pmp exam point of view there ...
Read More
Changes to PMBOK 6th edition
In September 2017 PMI released the revised edition of The Guide To The Project Management Body Of Knowledge (PMBOK) 6th ...
Read More
Analysis of PMP Exam Questions
PMP certification that offers numerous benefits to both individuals and well as the organizations is a gruelling four-hour long test ...
Read More
PMP Certification Benefits
PMP certification benefits both individuals and organizations. Increase in salary figures is not the only benefit this certification offers. However, ...
Read More
Step-by-Step Guide to PMP Certification
Project management professionals world over have a  desire to attain the PMP certification. PMI Today May 2017 edition puts the ...
Read More