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PMP Formulas

                                          Earned Value
CV = EV - AC
CPI = EV / AC
SV = EV - PV
SPI = EV / PV
EAC ‘no variances’ = BAC / CPI
EAC ‘fundamentally flawed’ = AC + ETC
EAC ‘atypical’ = AC + BAC - EV
EAC ‘typical’ = AC + ((BAC - EV) / CPI)
ETC = EAC - AC
ETC ‘atypical’ = BAC - EV
ETC ‘typical’ = (BAC - EV) / CPI
ETC ‘flawed’ = new estimate
Percent Complete = EV / BAC * 100
VAC = BAC - EAC
EV = % complete * BAC
% COMPLETE = EV / BAC x 100
% SPENT          = AC / BAC x 100
CV% = CV / EV x 100
SV% = SV / PV x 100
                                               PERT
PERT 3-point = (Pessimistic+(4*Most Likely)+Optimistic)/6
PERT α = (Pessimistic - Optimistic) / 6
PERT Activity Variance = ((Pessimistic - Optimistic) / 6)^2
PERT Variance all activities = _sum((Pessimistic - Optimistic) / 6)^2
                                      Classes of Estimates
Order of Magnitude estimate = -25% to +75%
Preliminary estimate = -15% to + 50%
Budget estimate = -10% to +25%
Definitive estimate = -5% to +10%
Final estimate = 0%




                                          www.pmlead.net
Project Selection
PV = FV / (1+r)^n
FV = PV * (1+r)^n
NPV = Select biggest number.
ROI = Select biggest number.
IRR = Select biggest number.
Payback Period = Add up the projected cash inflow minus expenses until you reach the initial
investment.
BCR = Benefit / Cost
CBR = Cost / Benefit
Opportunity Cost = The value of the project not chosen.
Exp. Value = Probability % x Consequence $


                                         Communications
Communication Channels = n * (n-1) / 2


                                             Probability
EMV = Probability * Impact in currency


                                           Procurement
PTA = ((Ceiling Price - Target Price) / Buyer's Share Ratio) + Target Cost


                                           Depreciation
Straight-line Depreciation:
                       Depr. Expense = Asset Cost / Useful Life
                       Depr. Rate = 100% / Useful Life
Double Declining Balance Method:
                       Depr. Rate = 2 * (100% / Useful Life)
                       Depr. Expense = Depreciation Rate * Book Value at Beginning of Year
                       Book Value = Book Value at beginning of year - Depreciation Expense
Sum-of-Years' Digits Method:
                       Sum of digits = Useful Life + (Useful Life - 1) + (Useful Life - 2) + etc.
                       Depr. rate = fraction of years left and sum of the digits (i.e. 4/15th)



                                          www.pmlead.net
SIGMA
       1 sigma = 68.26%
       2 sigma = 95.46%
       3 sigma = 99.73%
       6 sigma = 99.99%


                                                      Important Values
       Control Limits = 3 sigma from mean
       Control Specifications = Defined by customer; less than the control limits
       Float on the critical path = 0 days
       Pareto Diagram = 80/20
       Time a PM spends communicating = 90%
       Crashing a project = Crash least expensive tasks on critical path.
       JIT inventory = 0% (or very close to 0%.)


                                                      Network Diagram

       Forward Pass                                                              ES        Dur          EF
          ES = EF of the predecessor node
                                                                                           Node
          EF = ES + Dur
                                                                                 LS        Float       LF
       Backward Pass
          LF = LS of the Successor
          LS = LF – Dur                                                          ES        Du        EF

       Slack = LF – EF = LS – ES
       Free Float = ES(Successor) - EF(Predecessor)



       You need to understand the formulas not only memorize them

       Refer to the PMBoK 4th Edition for more details

                     PMI®, PMP®, CAPM® and PMBOK® Guide are trademarks of the Project Management Institute, Inc.
                         PMI® has not endorsed and did not participate in the development of this product.

Prepared by:
Amr Miqdadi,PMP,MCSE
amiqdadi@pmlead.net
                                                        www.pmlead.net

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PMP Exam Formulas

  • 1. PMP Formulas Earned Value CV = EV - AC CPI = EV / AC SV = EV - PV SPI = EV / PV EAC ‘no variances’ = BAC / CPI EAC ‘fundamentally flawed’ = AC + ETC EAC ‘atypical’ = AC + BAC - EV EAC ‘typical’ = AC + ((BAC - EV) / CPI) ETC = EAC - AC ETC ‘atypical’ = BAC - EV ETC ‘typical’ = (BAC - EV) / CPI ETC ‘flawed’ = new estimate Percent Complete = EV / BAC * 100 VAC = BAC - EAC EV = % complete * BAC % COMPLETE = EV / BAC x 100 % SPENT = AC / BAC x 100 CV% = CV / EV x 100 SV% = SV / PV x 100 PERT PERT 3-point = (Pessimistic+(4*Most Likely)+Optimistic)/6 PERT α = (Pessimistic - Optimistic) / 6 PERT Activity Variance = ((Pessimistic - Optimistic) / 6)^2 PERT Variance all activities = _sum((Pessimistic - Optimistic) / 6)^2 Classes of Estimates Order of Magnitude estimate = -25% to +75% Preliminary estimate = -15% to + 50% Budget estimate = -10% to +25% Definitive estimate = -5% to +10% Final estimate = 0% www.pmlead.net
  • 2. Project Selection PV = FV / (1+r)^n FV = PV * (1+r)^n NPV = Select biggest number. ROI = Select biggest number. IRR = Select biggest number. Payback Period = Add up the projected cash inflow minus expenses until you reach the initial investment. BCR = Benefit / Cost CBR = Cost / Benefit Opportunity Cost = The value of the project not chosen. Exp. Value = Probability % x Consequence $ Communications Communication Channels = n * (n-1) / 2 Probability EMV = Probability * Impact in currency Procurement PTA = ((Ceiling Price - Target Price) / Buyer's Share Ratio) + Target Cost Depreciation Straight-line Depreciation: Depr. Expense = Asset Cost / Useful Life Depr. Rate = 100% / Useful Life Double Declining Balance Method: Depr. Rate = 2 * (100% / Useful Life) Depr. Expense = Depreciation Rate * Book Value at Beginning of Year Book Value = Book Value at beginning of year - Depreciation Expense Sum-of-Years' Digits Method: Sum of digits = Useful Life + (Useful Life - 1) + (Useful Life - 2) + etc. Depr. rate = fraction of years left and sum of the digits (i.e. 4/15th) www.pmlead.net
  • 3. SIGMA 1 sigma = 68.26% 2 sigma = 95.46% 3 sigma = 99.73% 6 sigma = 99.99% Important Values Control Limits = 3 sigma from mean Control Specifications = Defined by customer; less than the control limits Float on the critical path = 0 days Pareto Diagram = 80/20 Time a PM spends communicating = 90% Crashing a project = Crash least expensive tasks on critical path. JIT inventory = 0% (or very close to 0%.) Network Diagram Forward Pass ES Dur EF ES = EF of the predecessor node Node EF = ES + Dur LS Float LF Backward Pass LF = LS of the Successor LS = LF – Dur ES Du EF Slack = LF – EF = LS – ES Free Float = ES(Successor) - EF(Predecessor) You need to understand the formulas not only memorize them Refer to the PMBoK 4th Edition for more details PMI®, PMP®, CAPM® and PMBOK® Guide are trademarks of the Project Management Institute, Inc. PMI® has not endorsed and did not participate in the development of this product. Prepared by: Amr Miqdadi,PMP,MCSE amiqdadi@pmlead.net www.pmlead.net