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Creating value from uncertainty 
www.Broadleaf.com.au 
Cost and schedule risk 
assessment 
PMI Australia Conference 2014 
Presented by Dr Stephen Grey
PMI Australia conference 2014 
2 
Theme 
A lot of quantitative risk assessment is 
unnecessarily cumbersome and soaks up 
effort without adding value to a project. 
The approaches used often make it very 
hard to think clearly and realistically about 
a project.
PMI Australia conference 2014 
3 
Modelling 
Reality Belief 
Model 
Project 
Σ
PMI Australia conference 2014 
4 
Describing a model 
Assumptions 
Sources of 
Dependencies uncertainty 
Cost
The requirement 
PMI Australia conference 2014 
5
PMI Australia conference 2014 
Requirement 
Inputs $ 
Project Σ 
Target 
Duration 
Risk of 
exceeding 
target
The candidates 
PMI Australia conference 2014 
7
PMI Australia conference 2014 
8 
Three methods 
Risk events 
• List risks 
• Probability and impact (range of variation) 
• Add them up 
Line items 
• Line items from estimate (summary) 
• Range of variation in line item 
• Add them up 
Risk factors 
• Cost or duration estimating relationships 
• Uncertainty in inputs to relationships (ranges) 
• Simulate the effect on the base case
PMI Australia conference 2014 
9 
Similarities 
Model 
RelaƟonships in the model ≡ RelaƟonship in reality? 
Is the link between inputs and reality easily understood? 
Almost any attention to project risk will be beneficial 
Some are more cost‐effective than others
Risk event model 
Risk Probability Impact P x I 
Risk 1 P1 I1 P1 x I1 
Risk 2 P2 I2 P2 x I2 
Risk 3 P3 I3 P3 x I3 
Risk 4 P4 I4 P4 x I4 
… … … 
Risk n Pn In Pn x In 
Total ΣPi x Ii 
Monte Carlo simulation 
PMI Australia conference 2014 
10
PMI Australia conference 2014 
11 
Modelling based on risk events 
Σ 
Risk Probability Impact P x I 
Risk 1 P1 I1 P1 x I1 
Risk 2 P2 I2 P2 x I2 
Risk 3 P3 I3 P3 x I3 
Risk 4 P4 I4 P4 x I4 
… … … 
Risk n Pn In Pn x In 
Total ΣPi x Ii 
Target 
Risk of 
exceeding 
target 
Monte Carlo simulation
Line item modelling 
WBS Item Labour Materials Total Contingency 
Annnn $ $ $ $ 
Bnnnn $ $ $ $ 
Cnnnn $ $ $ $ 
Dnnnn $ $ $ $ 
… … … … … 
Znnnn $ $ $ $ 
Total Σ$ Σ$ 
Monte Carlo simulation 
PMI Australia conference 2014 
12
PMI Australia conference 2014 
13 
Line item modelling 
Σ 
WBS Item Labour Materials Total Contingency 
Annnn $ $ $ $ 
Bnnnn $ $ $ $ 
Cnnnn $ $ $ $ 
Dnnnn $ $ $ $ 
… … … … … 
Znnnn $ $ $ $ 
Total Σ$ Σ$ 
Target 
Risk of 
exceeding 
target 
Monte Carlo simulation
Risk factors model 
Cost estimating relationships (e.g. Cost = Quantity x Unit rate) 
Project estimate summary 
Labour Facilities Super‐vision 
Materials Sub‐contracts 
Services Expenses Total 
Earthworks 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Concrete 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
… 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Overheads 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Project Total ? ? ? ? ? ? ? ? 
Uncertainty 
about quantities 
of concrete (m3) 
Uncertainty about rates for 
cost of concrete ($/m3) 
PMI Australia conference 2014 
14 
Simulated cost = Base estimate x (1 + ΔQuantity) x (1 + ΔRate)
Simulated cost = Base estimate x (1 + ΔQuantity) x (1 + ΔRate) 
Σ 
Σ 
PMI Australia conference 2014 
15 
Risk factor modelling 
Target 
Risk of 
exceeding 
target 
Project estimate summary 
Labour Facilities Super‐vision 
Materials Sub‐contracts 
Services Expenses Total 
Earthworks 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Concrete 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
… 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Overheads 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? 
Project Total ? ? ? ? ? ? ? ? 
Uncertainty 
about quantities 
of concrete (m3) 
Uncertainty about rates for 
cost of concrete ($/m3) 
Σ
Making it work 
PMI Australia conference 2014 
16
PMI Australia conference 2014 
17 
Risk event 
Variation in cost 
if the event occurs 
Variation in cost 
if the event occurs 
No effect 
Probability = 33% 
Probability = 67% 
Min =$2M Likely=$4M Max=$8M 
No effect 
Probability = 33% 
Probability = 67% 
Min =$2M Likely=$4M Max=$8M 
Inputs Project Σ Outputs
PMI Australia conference 2014 
18 
Risk event model 
Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs 
Target 
Risk of 
exceeding 
target 
Common factors, 
overlaps and interactions
PMI Australia conference 2014 
19 
Line item range 
Cost line item 
Inputs Σ Outputs
PMI Australia conference 2014 
20 
Line item model 
Target 
Risk of 
exceeding 
target 
Common dependencies 
and correlations
Cost 
drivers 
PMI Australia conference 2014 
21 
Risk factor model 
Risk factors 
Inputs Σ Outputs 
Risk 
factor 
Target 
Risk of 
exceeding 
target
Risk factor example (partial) 
Small IT development project 
Professional 
services $ 
Software scale 
Team productivity 
Professional 
services rates 
Duration 
Overhead rates 
($/month) 
Overhead $ 
Market rates for 
licenses 
Number of users 
Design decision 
Option 1 
Option 2 
Installed 
Contingency assessment license cost $ 
methods & trends 
22
Electrical & instrumentation 
Steel, mechanical & piping 
Concrete 
Earthworks 
Risk factor example (partial) 
Mineral processing plant construction 
Earthworks 
direct labour $ 
Earthworks 
quantity 
Labour productivity 
Labour rates 
Option 1 
Bulk material 
cost $ 
Bulk material rates 
Design decision Lump sum value 
Option 2 
Major 
equipment 
item cost $ 
$/m3 
Contingency assessment 
methods & trends 
23
Assessing input parameters 
PMI Australia conference 2014 
24
PMI Australia conference 2014 
25 
Describing a range 
Common practice 
1. Start in the middle and work out 
2. Explain reason for choosing numbers 
Anchoring bias 
Confirmation bias 
3 1 2 Outcome
PMI Australia conference 2014 
26 
Describing a range 
Good practice 
1. Establish context 
• Assumptions 
• Sources of uncertainty 
• Pessimistic and optimistic scenarios 
Pre‐empt confirmation 
2. Start with the extremes and work in 
Break anchoring
PMI Australia conference 2014 
27 
Describing a range 
Common practice 
Assumptions 
Sources of 
uncertainty 
Scenarios 
2 3 1 Outcome
PMI Australia conference 2014 
28 
Summary 
Modelling using risk factors is generally simpler 
and more realistic than using structures based 
on risk events or line item ranging 
Context setting and methods to limit anchoring 
are required to get realistic assessments of 
uncertain values’ ranges 
It need not be hard work!
PMI Australia conference 2014 
29 
Contact 
Dr Stephen Grey 
Associate Director 
Grey@Broadleaf.com.au 
+61 412 223 256 
If you would like further information about this topic please contact us. 
For further information visit www.Broadleaf.com.au 
© 2014 Broadleaf Capital 
International Pty Ltd. 
All rights reserved.

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Cost and schedule risk modelling - Range analysis

  • 1. Creating value from uncertainty www.Broadleaf.com.au Cost and schedule risk assessment PMI Australia Conference 2014 Presented by Dr Stephen Grey
  • 2. PMI Australia conference 2014 2 Theme A lot of quantitative risk assessment is unnecessarily cumbersome and soaks up effort without adding value to a project. The approaches used often make it very hard to think clearly and realistically about a project.
  • 3. PMI Australia conference 2014 3 Modelling Reality Belief Model Project Σ
  • 4. PMI Australia conference 2014 4 Describing a model Assumptions Sources of Dependencies uncertainty Cost
  • 5. The requirement PMI Australia conference 2014 5
  • 6. PMI Australia conference 2014 Requirement Inputs $ Project Σ Target Duration Risk of exceeding target
  • 7. The candidates PMI Australia conference 2014 7
  • 8. PMI Australia conference 2014 8 Three methods Risk events • List risks • Probability and impact (range of variation) • Add them up Line items • Line items from estimate (summary) • Range of variation in line item • Add them up Risk factors • Cost or duration estimating relationships • Uncertainty in inputs to relationships (ranges) • Simulate the effect on the base case
  • 9. PMI Australia conference 2014 9 Similarities Model RelaƟonships in the model ≡ RelaƟonship in reality? Is the link between inputs and reality easily understood? Almost any attention to project risk will be beneficial Some are more cost‐effective than others
  • 10. Risk event model Risk Probability Impact P x I Risk 1 P1 I1 P1 x I1 Risk 2 P2 I2 P2 x I2 Risk 3 P3 I3 P3 x I3 Risk 4 P4 I4 P4 x I4 … … … Risk n Pn In Pn x In Total ΣPi x Ii Monte Carlo simulation PMI Australia conference 2014 10
  • 11. PMI Australia conference 2014 11 Modelling based on risk events Σ Risk Probability Impact P x I Risk 1 P1 I1 P1 x I1 Risk 2 P2 I2 P2 x I2 Risk 3 P3 I3 P3 x I3 Risk 4 P4 I4 P4 x I4 … … … Risk n Pn In Pn x In Total ΣPi x Ii Target Risk of exceeding target Monte Carlo simulation
  • 12. Line item modelling WBS Item Labour Materials Total Contingency Annnn $ $ $ $ Bnnnn $ $ $ $ Cnnnn $ $ $ $ Dnnnn $ $ $ $ … … … … … Znnnn $ $ $ $ Total Σ$ Σ$ Monte Carlo simulation PMI Australia conference 2014 12
  • 13. PMI Australia conference 2014 13 Line item modelling Σ WBS Item Labour Materials Total Contingency Annnn $ $ $ $ Bnnnn $ $ $ $ Cnnnn $ $ $ $ Dnnnn $ $ $ $ … … … … … Znnnn $ $ $ $ Total Σ$ Σ$ Target Risk of exceeding target Monte Carlo simulation
  • 14. Risk factors model Cost estimating relationships (e.g. Cost = Quantity x Unit rate) Project estimate summary Labour Facilities Super‐vision Materials Sub‐contracts Services Expenses Total Earthworks 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Concrete 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? … 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Overheads 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Project Total ? ? ? ? ? ? ? ? Uncertainty about quantities of concrete (m3) Uncertainty about rates for cost of concrete ($/m3) PMI Australia conference 2014 14 Simulated cost = Base estimate x (1 + ΔQuantity) x (1 + ΔRate)
  • 15. Simulated cost = Base estimate x (1 + ΔQuantity) x (1 + ΔRate) Σ Σ PMI Australia conference 2014 15 Risk factor modelling Target Risk of exceeding target Project estimate summary Labour Facilities Super‐vision Materials Sub‐contracts Services Expenses Total Earthworks 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Concrete 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? … 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Overheads 1234567 1234567 1234567 1234567 1234567 1234567 1234567 ? Project Total ? ? ? ? ? ? ? ? Uncertainty about quantities of concrete (m3) Uncertainty about rates for cost of concrete ($/m3) Σ
  • 16. Making it work PMI Australia conference 2014 16
  • 17. PMI Australia conference 2014 17 Risk event Variation in cost if the event occurs Variation in cost if the event occurs No effect Probability = 33% Probability = 67% Min =$2M Likely=$4M Max=$8M No effect Probability = 33% Probability = 67% Min =$2M Likely=$4M Max=$8M Inputs Project Σ Outputs
  • 18. PMI Australia conference 2014 18 Risk event model Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Inputs Project Σ Outputs Target Risk of exceeding target Common factors, overlaps and interactions
  • 19. PMI Australia conference 2014 19 Line item range Cost line item Inputs Σ Outputs
  • 20. PMI Australia conference 2014 20 Line item model Target Risk of exceeding target Common dependencies and correlations
  • 21. Cost drivers PMI Australia conference 2014 21 Risk factor model Risk factors Inputs Σ Outputs Risk factor Target Risk of exceeding target
  • 22. Risk factor example (partial) Small IT development project Professional services $ Software scale Team productivity Professional services rates Duration Overhead rates ($/month) Overhead $ Market rates for licenses Number of users Design decision Option 1 Option 2 Installed Contingency assessment license cost $ methods & trends 22
  • 23. Electrical & instrumentation Steel, mechanical & piping Concrete Earthworks Risk factor example (partial) Mineral processing plant construction Earthworks direct labour $ Earthworks quantity Labour productivity Labour rates Option 1 Bulk material cost $ Bulk material rates Design decision Lump sum value Option 2 Major equipment item cost $ $/m3 Contingency assessment methods & trends 23
  • 24. Assessing input parameters PMI Australia conference 2014 24
  • 25. PMI Australia conference 2014 25 Describing a range Common practice 1. Start in the middle and work out 2. Explain reason for choosing numbers Anchoring bias Confirmation bias 3 1 2 Outcome
  • 26. PMI Australia conference 2014 26 Describing a range Good practice 1. Establish context • Assumptions • Sources of uncertainty • Pessimistic and optimistic scenarios Pre‐empt confirmation 2. Start with the extremes and work in Break anchoring
  • 27. PMI Australia conference 2014 27 Describing a range Common practice Assumptions Sources of uncertainty Scenarios 2 3 1 Outcome
  • 28. PMI Australia conference 2014 28 Summary Modelling using risk factors is generally simpler and more realistic than using structures based on risk events or line item ranging Context setting and methods to limit anchoring are required to get realistic assessments of uncertain values’ ranges It need not be hard work!
  • 29. PMI Australia conference 2014 29 Contact Dr Stephen Grey Associate Director Grey@Broadleaf.com.au +61 412 223 256 If you would like further information about this topic please contact us. For further information visit www.Broadleaf.com.au © 2014 Broadleaf Capital International Pty Ltd. All rights reserved.