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PM Notebook
Summarizing Project Management Concepts for the PMP
Exam
Mohammad Elsheimy Road to PMP
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
1
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS
BASED ON DATA/INFORMATION GATHERED FROM VARIOUS
RELIABLE SOURCES. NONE OF THIS DATA/INFORMATION IS A
PROPERTY OF THE AUTHOR. NONE IS INTENDED TO MAKE A
PROFIT IN ANY WAY. THIS IS FOR PERSONAL USE ONLY.
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
2
No great man ever complains of want of opportunity.
Ralph Waldo Emerson
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
3
Table of Contents
Appendix H โ€“ Formula Sheet ................................................................................................................................. 4
Project Selection Methods ................................................................................................................................. 4
Depreciation ..................................................................................................................................................... 4
Planned Value .................................................................................................................................................. 4
Other Methods.................................................................................................................................................. 5
Schedule Management ..................................................................................................................................... 5
Cost Management .............................................................................................................................................. 5
Earned Value Management (EVM).............................................................................................................. 5
Communication ................................................................................................................................................... 8
Risk Management ................................................................................................................................................ 8
Procurements........................................................................................................................................................ 8
Estimates ................................................................................................................................................................ 9
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
4
Project Selection Methods
Depreciation
Straight Line
Depreciation
The same amount of
depreciation is taken each
year.
Amt =
total
year count
Double Declining
Balance
Percentage is double the
straight line depreciation
Sum of Years Digits
(SYD)
๐‘บ๐’€๐‘ซ =
๐’ (๐’ + ๐Ÿ)
๐Ÿ
= ๐Ÿ“๐’š๐’†๐’‚๐’“๐’” =
๐Ÿ“(๐Ÿ“ + ๐Ÿ)
๐Ÿ
= ๐Ÿ๐Ÿ“
๐‘ฌ๐’™๐’‘๐’†๐’๐’”๐’† =
๐‘น๐’†๐’Ž๐’‚๐’Š๐’๐’Š๐’๐’ˆ ๐’๐’Š๐’‡๐’†
๐’”๐’–๐’Ž ๐’๐’‡ ๐’š๐’†๐’‚๐’“๐’” ๐’…๐’Š๐’ˆ๐’Š๐’•
โˆ— ๐‘ซ๐’†๐’‘๐’“๐’†๐’„๐’Š๐’‚๐’ƒ๐’๐’† ๐‘ช๐’๐’”๐’•
Planned Value
Future Value (FV) To determine the future
value of present money.
๐‘ญ๐‘ฝ = ๐‘ท๐‘ฝ (๐Ÿ + ๐’Š) ๐’
PV = Present value
i = interest rate
n = number of periods
Present Value (PV) The current worth of a
future sum of money given
a specific rate of return.
๐‘ท๐‘ฝ =
๐‘ญ๐‘ฝ
(๐Ÿ + ๐’Š) ๐’
FV = Future value
i = interest rate
n = number of periods
Net Present Value
(NPV) / Net Present
Worth (NPW)
The difference between
the projectโ€™s current value
of cash inflow and the
current value of cash
outflow over many time
periods. The NPV must
always be positive. When
picking a project, one with
a higher NPV is preferred.
๐‘ต๐‘ท๐‘ฝ = โˆ’๐‘ช ๐ŸŽ + โˆ‘
๐‘ช๐’•
(๐Ÿ + ๐’“) ๐’•
๐‘ป
๐’•=๐Ÿ
Simplified โ€“
๐‘ต๐‘ท๐‘ฝ = โˆ’๐‘ช ๐ŸŽ +
๐‘ช ๐Ÿ
๐Ÿ + ๐’“
+
๐‘ช ๐Ÿ
(๐Ÿ + ๐’“) ๐Ÿ
+ โ‹ฏ +
๐‘ช ๐‘ป
(๐Ÿ + ๐’“) ๐‘ป
-C0 = Initial investment
C = Future cash flow
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | SCHEDULE MANAGEMENT
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
5
r = Interest rate
T = Time period
Other Methods
Return on Investment
(ROI)
Measures the gain or loss
generated on an
investment relative to the
amount of money
invested. ROI is usually
expressed as a
percentage and is
typically used for personal
financial decisions, to
compare a company's
profitability or to compare
the efficiency of different
investments.
๐‘น๐‘ถ๐‘ฐ =
๐‘ต๐’†๐’• ๐‘ท๐’“๐’๐’‡๐’Š๐’• (๐‘น๐’†๐’•๐’–๐’“๐’)
๐‘ฐ๐’๐’—๐’†๐’”๐’•๐’Ž๐’†๐’๐’• (๐‘ช๐’๐’”๐’•)
Schedule Management
Crashing Slope The cost per day of
crashing the project.
๐‘ช๐’“๐’‚๐’”๐’‰ ๐‘ช๐’๐’”๐’• (๐‘ช๐‘ช) โˆ’ ๐‘ต๐’๐’“๐’Ž๐’‚๐’ ๐‘ช๐’๐’”๐’• (๐‘ต๐‘ช)
๐‘ต๐’๐’“๐’Ž๐’‚๐’ ๐‘ซ๐’–๐’“๐’‚๐’•๐’Š๐’๐’ (๐‘ต๐‘ซ) โˆ’ ๐‘ช๐’“๐’‚๐’”๐’‰ ๐‘ซ๐’–๐’“๐’‚๐’•๐’Š๐’๐’ (๐‘ช๐‘ซ)
Cost Management
Earned Value Management (EVM)
BAC (Budget at
Completion)
Total project budget.
Planned % Complete How much percentage of
the work you should have
done according to
schedule.
Actual % Complete How much percentage of
the work you have
actually done.
PV (Planned Value) /
BCWS (Budgeted
Cost for Work
Scheduled).
The budgeted value of the
work completed.
PV = BAC โˆ— Plan % Compl
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COST MANAGEMENT
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
6
EV (Earned Value) /
BCWP (Budgeted
Cost for Work
Performed).
The actual value of the
work completed.
EV = BAC โˆ— Actual % Compl
EV = CV + AC
EV = SV + PV
EV = CPI โˆ— AC
EV = SPI โˆ— PV
AC (Actual Cost) /
ACWP (Actual Cost
for Work Performed)
Total expenditure (money
spent) for the work.
SPI (Schedule
Performance Index)
Ratio reflects whether the
project work is ahead of (>
1.0) / on / behind (< 1.0)
schedule. Cumulative.
SPI = EV / PV
SV (Schedule
Variance)
How much time ahead of
(positive) / behind
(negative) schedule.
SV = EV โ€“ PV
CPI (Cost
Performance Index)
Ratio reflects whether the
project work is over (< 1.0)
of / on / under budget (>
1.0). Cumulative. It
measures how much
dollars you get for each
dollar spent.
Researchers have found
that the cumulative CPI
does not change by more
than 10% once a project is
approximately 20%
complete.
CPI = EV / AC
CV (Cost Variance) How much $ under
(positive) / over (negative)
budget.
CV = EV โ€“ AC
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COST MANAGEMENT
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
7
EAC (Estimate at
Completion)
Estimates the planned cost
at project finish.
If no variances or you will continue at the
same rate of spending (when current
variances are seen as regular/typical of the
future) โ€“
๐‘ฌ๐‘จ๐‘ช = ๐‘ฉ๐‘จ๐‘ช / ๐‘ช๐‘ท๐‘ฐ
Original rate calculation. I.e. when variances
are irregular/atypical (when there are
variances but the rest of the project will
continue at the normal behavior) โ€“
๐‘ฌ๐‘จ๐‘ช = ๐‘จ๐‘ช + ( ๐‘ฉ๐‘จ๐‘ช โ€“ ๐‘ฌ๐‘ฝ)
Or
๐‘ฌ๐‘จ๐‘ช = ๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ช๐‘ฝ
Considering SPI and CPI (when variances are
regular/typical) โ€“
๐‘ฌ๐‘จ๐‘ช = ๐‘จ๐‘ช +
(๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ)
(๐‘บ๐‘ท๐‘ฐ โˆ— ๐‘ช๐‘ท๐‘ฐ)
New rate or the original rate was
fundamentally flawed โ€“
EAC = AC + New Estimate
ETC (Estimate to
Complete)
Estimates the additional
cost needed for the
project finish.
ETC = EAC โ€“ AC
VAC (Variance at
Completion)
Estimates the difference
between EAC and original
planned value.
VAC = BAC โ€“ EAC
TCPI (To-Complete
Performance Index)
Ratio estimates efficiency
needed to finish the
project on budget.
Higher value means
stricter cost management.
Budget-based (when we need project to get
back to budget) โ€“
๐‘ป๐‘ช๐‘ท๐‘ฐ =
(๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ)
(๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช)
Estimation-based (to meet the new estimate)
โ€“
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COMMUNICATION
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
8
๐‘ป๐‘ช๐‘ท๐‘ฐ =
(๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ)
(๐‘ฌ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช)
Project Variance The final variance, which is
discovered only at the
projectโ€™s completion.
๐‘ฝ๐‘จ๐‘น = ๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช
Communication
Lines/Channels of
Communication
# Lines for n People =
n โˆ— (n โˆ’ 1)
2
Risk Management
Expected Monetary
Value (EMV)
EVM lets you examine
costs of all the paths you
might take through the
project and assign
monetary value to each
decision. Implies decision
tree analysis.
๐‘ฌ๐’™$๐‘ฝ = โˆ‘ ๐‘ฝ๐’Š ๐‘ท๐’Š
๐’
๐’Š=๐Ÿ
Vi = The monetary value of event i.
Pi = Probability of occurrence of event i.
Procurements
Make-or-Buy
Analysis
The following formula can
be used to get how long
will it take for the lease
cost to be the same as the
purchase cost.
๐’Ž๐’๐’๐’•๐’‰ ๐’„๐’๐’–๐’๐’•
= ๐’‚๐’ƒ๐’”(
๐’ƒ๐’–๐’Š๐’๐’… ๐’„๐’๐’”๐’•๐’” โˆ’ ๐’ƒ๐’–๐’š ๐’„๐’๐’”๐’•๐’”
๐’ƒ๐’–๐’Š๐’๐’… ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” โˆ’ ๐’ƒ๐’–๐’š ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’”
)
Same formula can be represented in another
way โ€“
๐’ƒ๐’–๐’Š๐’๐’… ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” โˆ— ๐’Ž๐’•๐’‰ ๐’„๐’๐’•
= ๐’ƒ๐’–๐’š ๐’„๐’๐’”๐’•๐’” + ๐’ƒ๐’–๐’š ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’”
โˆ— ๐’Ž๐’•๐’‰ ๐’„๐’๐’•
Point of Total
Assumption (PTA)
PTA is the point on the cost
line of profit-cost curve
determined by contract
elements associated with
a fixed price incentive
contract, above which the
seller effectively bears all
the costs of a cost overrun.
๐‘ท๐‘ป๐‘จ =
(๐‘ช๐’†๐’Š๐’๐’Š๐’๐’ˆ ๐‘ท๐’“๐’Š๐’„๐’† โˆ’ ๐‘ป๐’‚๐’“๐’ˆ๐’†๐’• ๐‘ท๐’“๐’Š๐’„๐’†)
๐‘ฉ๐’–๐’š๐’†๐’“โ€ฒ ๐’” ๐‘บ๐’‰๐’‚๐’“๐’† ๐‘น๐’‚๐’•๐’Š๐’
+ ๐‘ป๐’‚๐’“๐’ˆ๐’†๐’• ๐‘ช๐’๐’”๐’•
PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | ESTIMATES
DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION
GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY
OF THE AUTHOR.
9
Estimates
Simple/Triangular
Distribution
ESA =
(O + P + M)
3
Beta/PERT Estimate
ฮฃ =
(O + P + 4M)
6
Beta Standard
Deviation / Sigma
ฯƒ =
(P โˆ’ O)
6
Beta Variance
VARPERT = ฯƒ2
= (
(P โˆ’ O)
6
)
2

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PMP Exam Prep: Project Management Formulas

  • 1. PM Notebook Summarizing Project Management Concepts for the PMP Exam Mohammad Elsheimy Road to PMP
  • 2. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 1 DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA/INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA/INFORMATION IS A PROPERTY OF THE AUTHOR. NONE IS INTENDED TO MAKE A PROFIT IN ANY WAY. THIS IS FOR PERSONAL USE ONLY.
  • 3. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 2 No great man ever complains of want of opportunity. Ralph Waldo Emerson
  • 4. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 3 Table of Contents Appendix H โ€“ Formula Sheet ................................................................................................................................. 4 Project Selection Methods ................................................................................................................................. 4 Depreciation ..................................................................................................................................................... 4 Planned Value .................................................................................................................................................. 4 Other Methods.................................................................................................................................................. 5 Schedule Management ..................................................................................................................................... 5 Cost Management .............................................................................................................................................. 5 Earned Value Management (EVM).............................................................................................................. 5 Communication ................................................................................................................................................... 8 Risk Management ................................................................................................................................................ 8 Procurements........................................................................................................................................................ 8 Estimates ................................................................................................................................................................ 9
  • 5. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | PROJECT SELECTION METHODS DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 4 Project Selection Methods Depreciation Straight Line Depreciation The same amount of depreciation is taken each year. Amt = total year count Double Declining Balance Percentage is double the straight line depreciation Sum of Years Digits (SYD) ๐‘บ๐’€๐‘ซ = ๐’ (๐’ + ๐Ÿ) ๐Ÿ = ๐Ÿ“๐’š๐’†๐’‚๐’“๐’” = ๐Ÿ“(๐Ÿ“ + ๐Ÿ) ๐Ÿ = ๐Ÿ๐Ÿ“ ๐‘ฌ๐’™๐’‘๐’†๐’๐’”๐’† = ๐‘น๐’†๐’Ž๐’‚๐’Š๐’๐’Š๐’๐’ˆ ๐’๐’Š๐’‡๐’† ๐’”๐’–๐’Ž ๐’๐’‡ ๐’š๐’†๐’‚๐’“๐’” ๐’…๐’Š๐’ˆ๐’Š๐’• โˆ— ๐‘ซ๐’†๐’‘๐’“๐’†๐’„๐’Š๐’‚๐’ƒ๐’๐’† ๐‘ช๐’๐’”๐’• Planned Value Future Value (FV) To determine the future value of present money. ๐‘ญ๐‘ฝ = ๐‘ท๐‘ฝ (๐Ÿ + ๐’Š) ๐’ PV = Present value i = interest rate n = number of periods Present Value (PV) The current worth of a future sum of money given a specific rate of return. ๐‘ท๐‘ฝ = ๐‘ญ๐‘ฝ (๐Ÿ + ๐’Š) ๐’ FV = Future value i = interest rate n = number of periods Net Present Value (NPV) / Net Present Worth (NPW) The difference between the projectโ€™s current value of cash inflow and the current value of cash outflow over many time periods. The NPV must always be positive. When picking a project, one with a higher NPV is preferred. ๐‘ต๐‘ท๐‘ฝ = โˆ’๐‘ช ๐ŸŽ + โˆ‘ ๐‘ช๐’• (๐Ÿ + ๐’“) ๐’• ๐‘ป ๐’•=๐Ÿ Simplified โ€“ ๐‘ต๐‘ท๐‘ฝ = โˆ’๐‘ช ๐ŸŽ + ๐‘ช ๐Ÿ ๐Ÿ + ๐’“ + ๐‘ช ๐Ÿ (๐Ÿ + ๐’“) ๐Ÿ + โ‹ฏ + ๐‘ช ๐‘ป (๐Ÿ + ๐’“) ๐‘ป -C0 = Initial investment C = Future cash flow
  • 6. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | SCHEDULE MANAGEMENT DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 5 r = Interest rate T = Time period Other Methods Return on Investment (ROI) Measures the gain or loss generated on an investment relative to the amount of money invested. ROI is usually expressed as a percentage and is typically used for personal financial decisions, to compare a company's profitability or to compare the efficiency of different investments. ๐‘น๐‘ถ๐‘ฐ = ๐‘ต๐’†๐’• ๐‘ท๐’“๐’๐’‡๐’Š๐’• (๐‘น๐’†๐’•๐’–๐’“๐’) ๐‘ฐ๐’๐’—๐’†๐’”๐’•๐’Ž๐’†๐’๐’• (๐‘ช๐’๐’”๐’•) Schedule Management Crashing Slope The cost per day of crashing the project. ๐‘ช๐’“๐’‚๐’”๐’‰ ๐‘ช๐’๐’”๐’• (๐‘ช๐‘ช) โˆ’ ๐‘ต๐’๐’“๐’Ž๐’‚๐’ ๐‘ช๐’๐’”๐’• (๐‘ต๐‘ช) ๐‘ต๐’๐’“๐’Ž๐’‚๐’ ๐‘ซ๐’–๐’“๐’‚๐’•๐’Š๐’๐’ (๐‘ต๐‘ซ) โˆ’ ๐‘ช๐’“๐’‚๐’”๐’‰ ๐‘ซ๐’–๐’“๐’‚๐’•๐’Š๐’๐’ (๐‘ช๐‘ซ) Cost Management Earned Value Management (EVM) BAC (Budget at Completion) Total project budget. Planned % Complete How much percentage of the work you should have done according to schedule. Actual % Complete How much percentage of the work you have actually done. PV (Planned Value) / BCWS (Budgeted Cost for Work Scheduled). The budgeted value of the work completed. PV = BAC โˆ— Plan % Compl
  • 7. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COST MANAGEMENT DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 6 EV (Earned Value) / BCWP (Budgeted Cost for Work Performed). The actual value of the work completed. EV = BAC โˆ— Actual % Compl EV = CV + AC EV = SV + PV EV = CPI โˆ— AC EV = SPI โˆ— PV AC (Actual Cost) / ACWP (Actual Cost for Work Performed) Total expenditure (money spent) for the work. SPI (Schedule Performance Index) Ratio reflects whether the project work is ahead of (> 1.0) / on / behind (< 1.0) schedule. Cumulative. SPI = EV / PV SV (Schedule Variance) How much time ahead of (positive) / behind (negative) schedule. SV = EV โ€“ PV CPI (Cost Performance Index) Ratio reflects whether the project work is over (< 1.0) of / on / under budget (> 1.0). Cumulative. It measures how much dollars you get for each dollar spent. Researchers have found that the cumulative CPI does not change by more than 10% once a project is approximately 20% complete. CPI = EV / AC CV (Cost Variance) How much $ under (positive) / over (negative) budget. CV = EV โ€“ AC
  • 8. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COST MANAGEMENT DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 7 EAC (Estimate at Completion) Estimates the planned cost at project finish. If no variances or you will continue at the same rate of spending (when current variances are seen as regular/typical of the future) โ€“ ๐‘ฌ๐‘จ๐‘ช = ๐‘ฉ๐‘จ๐‘ช / ๐‘ช๐‘ท๐‘ฐ Original rate calculation. I.e. when variances are irregular/atypical (when there are variances but the rest of the project will continue at the normal behavior) โ€“ ๐‘ฌ๐‘จ๐‘ช = ๐‘จ๐‘ช + ( ๐‘ฉ๐‘จ๐‘ช โ€“ ๐‘ฌ๐‘ฝ) Or ๐‘ฌ๐‘จ๐‘ช = ๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ช๐‘ฝ Considering SPI and CPI (when variances are regular/typical) โ€“ ๐‘ฌ๐‘จ๐‘ช = ๐‘จ๐‘ช + (๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ) (๐‘บ๐‘ท๐‘ฐ โˆ— ๐‘ช๐‘ท๐‘ฐ) New rate or the original rate was fundamentally flawed โ€“ EAC = AC + New Estimate ETC (Estimate to Complete) Estimates the additional cost needed for the project finish. ETC = EAC โ€“ AC VAC (Variance at Completion) Estimates the difference between EAC and original planned value. VAC = BAC โ€“ EAC TCPI (To-Complete Performance Index) Ratio estimates efficiency needed to finish the project on budget. Higher value means stricter cost management. Budget-based (when we need project to get back to budget) โ€“ ๐‘ป๐‘ช๐‘ท๐‘ฐ = (๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ) (๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช) Estimation-based (to meet the new estimate) โ€“
  • 9. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | COMMUNICATION DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 8 ๐‘ป๐‘ช๐‘ท๐‘ฐ = (๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘ฌ๐‘ฝ) (๐‘ฌ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช) Project Variance The final variance, which is discovered only at the projectโ€™s completion. ๐‘ฝ๐‘จ๐‘น = ๐‘ฉ๐‘จ๐‘ช โˆ’ ๐‘จ๐‘ช Communication Lines/Channels of Communication # Lines for n People = n โˆ— (n โˆ’ 1) 2 Risk Management Expected Monetary Value (EMV) EVM lets you examine costs of all the paths you might take through the project and assign monetary value to each decision. Implies decision tree analysis. ๐‘ฌ๐’™$๐‘ฝ = โˆ‘ ๐‘ฝ๐’Š ๐‘ท๐’Š ๐’ ๐’Š=๐Ÿ Vi = The monetary value of event i. Pi = Probability of occurrence of event i. Procurements Make-or-Buy Analysis The following formula can be used to get how long will it take for the lease cost to be the same as the purchase cost. ๐’Ž๐’๐’๐’•๐’‰ ๐’„๐’๐’–๐’๐’• = ๐’‚๐’ƒ๐’”( ๐’ƒ๐’–๐’Š๐’๐’… ๐’„๐’๐’”๐’•๐’” โˆ’ ๐’ƒ๐’–๐’š ๐’„๐’๐’”๐’•๐’” ๐’ƒ๐’–๐’Š๐’๐’… ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” โˆ’ ๐’ƒ๐’–๐’š ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” ) Same formula can be represented in another way โ€“ ๐’ƒ๐’–๐’Š๐’๐’… ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” โˆ— ๐’Ž๐’•๐’‰ ๐’„๐’๐’• = ๐’ƒ๐’–๐’š ๐’„๐’๐’”๐’•๐’” + ๐’ƒ๐’–๐’š ๐’Ž๐’•๐’‰๐’๐’š ๐’‡๐’†๐’†๐’” โˆ— ๐’Ž๐’•๐’‰ ๐’„๐’๐’• Point of Total Assumption (PTA) PTA is the point on the cost line of profit-cost curve determined by contract elements associated with a fixed price incentive contract, above which the seller effectively bears all the costs of a cost overrun. ๐‘ท๐‘ป๐‘จ = (๐‘ช๐’†๐’Š๐’๐’Š๐’๐’ˆ ๐‘ท๐’“๐’Š๐’„๐’† โˆ’ ๐‘ป๐’‚๐’“๐’ˆ๐’†๐’• ๐‘ท๐’“๐’Š๐’„๐’†) ๐‘ฉ๐’–๐’š๐’†๐’“โ€ฒ ๐’” ๐‘บ๐’‰๐’‚๐’“๐’† ๐‘น๐’‚๐’•๐’Š๐’ + ๐‘ป๐’‚๐’“๐’ˆ๐’†๐’• ๐‘ช๐’๐’”๐’•
  • 10. PM NOTEBOOK APPENDIX H โ€“ FORMULA SHEET | ESTIMATES DISCLAIMER: THE MATERIAL INCLUDED IN THIS DOCUMENT IS BASED ON DATA / INFORMATION GATHERED FROM VARIOUS RELIABLE SOURCES. NONE OF THIS DATA / INFORMATION IS A PROPERTY OF THE AUTHOR. 9 Estimates Simple/Triangular Distribution ESA = (O + P + M) 3 Beta/PERT Estimate ฮฃ = (O + P + 4M) 6 Beta Standard Deviation / Sigma ฯƒ = (P โˆ’ O) 6 Beta Variance VARPERT = ฯƒ2 = ( (P โˆ’ O) 6 ) 2