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Lecture 2
Dr Ebenezer Sholarin, PMPĀ®
Hydrocarbon Economics &
Project Management
PEEN4001/ECON6007
Petroleum Risk &
Decision Analysis
1
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
ā€œIf you are sure you understand everything that
is going on, you are hopelessly confused.ā€
ā€¢ Walter F. Mondale
2
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Lecture objective
The overall objective of this lecture is to develop
engineers who have critical thinking skills to
identify opportunities, solve problems and
make more confident decisions in the presence of
risks and uncertainty.
3
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Lecture Outline
ā€¢ Defining Risk and Uncertainty
ā€¢ Identifying uncertainties in the E&P business
ā€¢ Expressing and combining uncertainties
ā€“ One point analysis
ā€“ Three-point distributions
ā€“ Subjective probabilities and expected value concepts
ā€¢ Tools for quantifying Risk
ā€“ Sensitivity analysis
ā€“ Decision tree analysis
ā€“ Monte Carlo simulation
ā€¢ Dealing with Risk Using Bow-Tie Model
4
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Characteristics of Petroleum Venture
ā€¢ Oil and gas industry is prone to risks and uncertainties:
ā€“ Oil and Gas reserve uncertainty
ā€“ Exploration uncertainty (Capital & Operating Costs)
ā€“ Oil and Gas price uncertainty
ā€“ Production uncertainty (Royalty, Tax, PSC)
ā€“ Demand uncertainty
ā€“ Supply uncertainty
ā€¢ Oil and gas industry is complex industry affected by:
ā€“ Global risks (political, legal, commercial and environmental)
ā€“ Element risks (construction, operation, financing and revenue
generation)
ā€“ Both risks categories affects upstream and downstream phases
5
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Degrees of Uncertainty in oil and gas projects
Level of Uncertainty
Exploration appraisal Development Production
Project Management Phases
Low
High
6
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Case Study(1) Varanus Island Gas Explosion
ā€¢ In 2008, an export gas pipeline
ruptured near the Apache Varanus
Island gas plant, causing a fire in a
large section of the plant. The loss of
containment was caused by corrosion
and resultant thinning of the pipe wall.
ā€¢ Key outcomes from the post-incident
investigation:
ā€“ Ineffective anti-corrosion coating at the
beach crossing;
ā€“ Ineffective cathodic protection of the wet-
dry transition zone; and
ā€“ Ineffective inspection and monitoring of the
beach crossing and shallow water section of
the pipeline.
7
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Case Study(2): BP Macondo Oil Well Disaster 2010
ā€¢ Oil rig blaze off Louisiana leaves at least
11 missing (21st April, 2010)
ā€“ http://news.bbc.co.uk/2/hi/americas/863487
4.stm
ā€“ http://www.youtube.com/watch?v=ttC7o3Jx
sxE
8
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk perception:
People donā€™t think probabilistically!
ā€¢ ā€œIt will happen to meā€ or ā€œit will not happen to meā€
ā€¢ Other factors influence protective decisions: worry;
peace of mind.
ā€¢ Affections and emotions play a key role in decision-
making.
ā€¢ Biases: likelihood of an event is estimated by the
ease with which a person can visualise it.
9
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk ā€“ What is it?
ā€¢ ā€œThe chance or probability of a successful wildcat
discoveryā€ (Simpson, et al 2000)
ā€¢ ā€œThe potential for outcomes that are quite
differentā€ (Schuyler & Newendorp, 2000)
ā€¢ ā€œThe chance of success or an opportunity for lossā€
(Megill, 1988)
10
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risked Reserves categories
ā€¢ SPE/WPC
ā€“ Society of Petroleum Engineers (SPE)
ā€“ World Petroleum Congress (WPC)
Proved reserves
(Reasonable certainty)
Probable reserves
(More likely than not)
Possible reserves
(less likely than probable)
1P
2P
3P
11
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Dimensions of Risk
Risk has two components:
ļƒ˜ The probability of failing to achieve a particular
outcome.
ļƒ˜ The consequences of failing to achieve that
outcome.
ā€¢ Risk Management is a methodical approach to controlling
risk.
ā€¢ Goal: Discover early, track closely
12
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk versus Hazard
ā€¢ Some definitions of risk focus only on the probability of
an event occurring.
ā€“ Hazard is something that has potential to lead to a situation
that we do not like (e.g. potential to cause harm to people,
damage to assets or facilities, business loss, etc.)
ā€“ Risk is the likelihood that a specific undesired event will occur
within a specified period.
ā€¢ Risk is a function of both the likelihood and consequence of a specific
hazard being realized.
13
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Some examples of Risky Events
ā€¢ Scope Creep,
ā€¢ Poor Task Duration Estimate
ā€¢ Subcontractor delay/default or declaring bankruptcy (e.g.
construction, etc.)
ā€¢ Vendor delay/default (e.g. unstable code; contractual/legal)
ā€¢ Hydrate formation in subsea flowlines and pipelines
ā€¢ Resource limitation or conflicts
ā€¢ Technical issues: interfaces, pump failure, ineffective new
technology
ā€¢ Political change: a war or coup in a country, where exploration is
being conducted.
ā€¢ Funding/Budget overrun
ā€¢ Think of any other risk event!
14
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
The Key Risk Questions to ask:
ā€¢ What can go wrong?
ā€“ Scope creep, poor estimate, insufficient
funding, etc.
ā€¢ How likely is it to happen?
ā€“ What is the likelihood that crude prices will
fall to $10/bbl in the next few years?
ā€¢ What are the consequences?
ā€“ What effect will low price have on the
decisions we are now considering?
ā€¢ What can we do about it?
ā€“ In high risk areas are we better off to place
our capital in a few fully owned wells or
should we take a small piece of many
exploration prospects?
?
? ?
15
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
What can go wrong?
Main cause
Problem
(Effect)
Cause Level 1
Cause Level 2
Cause-and-Effect Diagram
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
What might go wrong for doing business as usual?
17
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Probability Scale
Wonā€™t Happen
(Unknown-unknown)
Will happen
(Known-known)
Probability of occurrence
0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0
Ī£Pi = 1
Where (1 ā€“ Ps) = Pf, i.e., the probability of getting a dry hole.
If Ps + Pf = 0, then the outcome will certainly not occur.
If Ps + Pf = 1, then the outcome will certainly occur.
18
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
What is Probability?
ā€¢ A chance that a specified consequence will
happen.
ā€“ Calculated as the long run ratio of the number of
times the outcome has occurred divided by the
total number of times the experiment or chance
phenomenon has been repeated.
ā€“ It may also be expressed qualitatively in terms of
events that have happened in a particular industry,
organisation or location.
19
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Unwanted consequences
Can you think of any?
20
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
What can we do about it?
ā€¢ Take ā€“ Accept current severity level as is and
continue to apply responses as in place
ā€¢ Treat ā€“ Accept the risk per se, but deploy
additional and/or new responses, implement
measures to decrease severity level
ā€¢ Transfer ā€“ Do not accept current severity level, but
transfer all or part of it to others ( e.g. through
insurance or contracting strategy)
ā€¢ Terminate ā€“ Change the business plan in order to
avoid the risk.
21
A realistic Risk Response approach often involves a 4T combination
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
How to deal with Risky events?
1. Identify - Risk register
2. Qualify - Probability x Impact/Consequence
3. Assess - Risk Assessment Matrix
4. Quantify - Expected Monetary Value Analysis,
Sensitivity analysis, Monte Carlo simulation)
5. Manage (respond & Control) - mitigate, avoid,
accept, insure, track, control, replan.
22
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
1. Identify Risks: Risk Register
23
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
2. Qualify Risks: Probability and Impact
Risk Event:
Good or Bad
Thing That
Might Happen
(A)
Probability
It Might Happen
(1-10)
(B)
Impact (Consequence)
If It Happens
(1-10)
PLAN
Plan what you
Will do on the
BIGones
(A) X (B)
24
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk Equation
X
RISK =
LIKELIHOOD IMPACT
Consequence/
Impact
Risk =
Chance of
Hazard Occurrence X
25
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
3. Assess Risks: Risk Assessment Matrix
ā€¢ Colors are indicative of level of risk:
Source: Sinclair Knight Merz, 1999:33
26
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
RISK QUANTIFICATION
3 4 6 8 12
4 6 9 13 20
7 10 14 20 32
11 16 21 27 40
18 26 36 42 50
Value Rating
< 12
12 - 20
> 20
LOW RISK
MEDIUM RISK
HIGH RISK
RISK EVALUATION
LIKELIHOOD
IMPACT
Risk Level Likelihood
a
b
c
d
e
Not Likely
Uncertain
Likely
Highly Likely
Nearly Certain
LIKELIHOOD
LIKELIHOOD factored with
IMPACT equalsā€¦
Risk
Level
Impact on Scope/
Quality/technical performance
Impact on Time/
Schedule
Impact on
Cost/Budget
1
2
3
4
5
Minimal or no impact
Minor performance shortfall
Moderate delivery shortfall
Unacceptable, with alternative
Unacceptable, no alternative
Minimal or no impact
Additional tasks required to meet key dates.
Minor schedule slip; will miss critical milestone
Impact to critical path.
Impact on project delivery date > 10%
Minimal or no impact
< 1 % of budget
< 5% of budget
< 10% of budget
>10% of budget.
IMPACT
a
b
c
d
e
1 2 3 4 5
27
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
4. Quantify Risks: Risk Analysis Approaches
a. Deterministic Approach
I. Single Point Estimation
II. Expected Value Concept
III. Sensitivity Analysis
IV. Decision Tree Analysis
b. Stochastic Approach
I. Probability Distribution Function (PDF)
II. PERT Analysis
III. Monte Carlo Simulation.
28
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Deterministic Vs Stochastic Approach to
dealing with Uncertainty
Range of Uncertainty
Stochastic (Probabilistic) Approach
TOTAL
GAS-INITIALLY-IN-PLACE
GAS PRODUCTION
Reserves
Proved Probab Possib.
Unrecoverable
Contingent Resources
Unrecoverable
Prospective Resources
1-P 2-P 3-P
1-C 2-C 3-C
LOW
EST
BEST
EST
HIGH
EST
Range of Uncertainty
Increasing
Chance
of
Commerciality
Deterministic Approach
What can go wrong?
How likely is it to happen?
What can we do about it?
What are our reserves estimates?
What is our production target?
What is our range of uncertainty?
Not to scale
29
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
a. Deterministic Approach
1.1 Single Point Estimation
30
5 HP Pumps
Base Estimate
5 x 2.0 = 10 M USD
Then adding deterministic
contingencies
ļ¬ Data assumed to be known with
certainty
Strengths: Insert the most likely or EV in
the spreadsheet to determine outcome;
Quick and easy.
Weakness: Misleading
Target
Acceptable
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Deterministic Approach (cont.)
1.2 Expected Value (EV) Concept
1.3 Decision Analysis
ā€¢ Decision framing or structuring the problem, using a
Decision Tree.
ā€¢ Modelling the alternatives
ā€¢ Assessing the alternatives
31
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Expected Value Concept
ā€¢ Decision alternative ā€“ an option, or choice, open to the
decision-maker.
ā€¢ Outcome or Event ā€“ something which could occur once a
decision is made.
ā€¢ Conditional value of an outcome ā€“ the value of an event, if it
occurs.
ā€¢ Expected Value of an outcome ā€“ conditional value of the
outcome multiplied by the probability that it will occur.
ā€¢ Expected Monetary Value ā€“ used when we are referring to the
EV of an event which has a conditional monetary value.
32
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
The Power of choice
"It is our choices ... that show what we truly are,
far more than our abilities".
- J.K. Rowling
ā€œThe art and science of decision-making
is applying decision policy to make rational
choices".
What if a decision is sensitive to probability?
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
An EV Table for G5 Gas Injection Option
Possible
Outcome Probability
Outcome
(mln.)
EV
($mln.)
No effect 0.01 $22.6 $0.3
Low 0.33 $32.4 $10.7
Medium 0.33 $40.8 $13.5
High 0.33 $71.1 $23.5
1.00 EMV = $47.8 million
34
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Normative Decision Analysis Tools
ā€¢ Traditional normative decision analysis aids:
ā€“ Linear/Goal programming
ā€“ Queuing theory
ā€“ Simulation
ā€“ Stochastic models
ā€¢ Modern normative decision analysis aids
ā€“ Geological interpretation models
ā€“ Reservoir models
ā€“ Monte Carlo Simulation
ā€“ Decision Trees
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
An Example of Decision Modeling
Drill/
No drill
Capital
Expenditure
Operational
Expenditure
Market
Share
R&D
Costs
Exploration
Costs
Oil/Gas
Revenue
Number
of Barrels
Market Size
Unit
Price
NPV
Legend:
Value Measure
Probabilistic Variable
Deterministic Variable
Decision/Choice
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
A Decision Analysis for a secondary oil
recovery project
G5 W1
22.6 21.6
0.01 0.01
0.33 32.4 0.33 25.6
NPV 47.8 0.33 40.8 32.0 0.33 29.1
0.33 0.33
71.1 41.7
22.6% 21.9%
0.01 0.01
0.33 27.6% 0.33 24.0%
IRR 34.8% 0.33 27.0% 0.33 25.7%
31.7%
0.33
0.33
45.5% 31.6%
ā€¢ Based on the above information, which option would you choose, and why?
ā€¢ Do you know how the EMV for G5 and W1 was calculated?
37
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
EV of example drilling decision
ā€¢ Suppose we have the opportunity to drill a well on a prospect which, if successful, is
expected to lead to a development with an estimated NPV of $100 million. Suppose
the well costs $5 million and the estimated POS is 10%.
ā€¢ The different outcomes and their conditional values are shown below:
Drilling decision
Well cost = $5MM
Drill
Donā€™t Drill
Discovery
(10%)
Dry Hole
(90%)
$0.00
-$5MM = Outcome 2
+$100MM = Outcome 1
EV
=
($100MM * 10%) + (-$5MM * 90%)
=
($10MM - $4.5MM) = $5.5MM
EV
=
Conditional Value of Success * Ps
+
Conditional Value of Failure * Pf
38
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Expected Value Balances all Risk & Reward Factors
ā€¢ Field size
ā€¢ Production rate
ā€¢ Markets
ā€¢ Cost of development
ā€¢ Cost of operation
ā€¢ PSC effects
ā€¢ Royalties
ā€¢ Taxes
ā€¢ Discount rate
Reservoir depth,
Location, etc
NPV(Dev)*Ps
Reward
EV =
+
Geology
NPV(Well)*Pf
Risk
39
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Decision Tree
ā€¢ A graphical representation of
complex decisions and with
provisions for the calculation
of decision paths.
ā€¢ Represents various events
with unique symbols.
ā€¢ A square node and a circular
node generally represent a
decision and an uncertainty.
40
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Using Decision Tree to Resolve
a Complex Problem
ā€¢ If you put a small coin into an empty
bottle and replace the cap, how would
you get the coin out of the bottle without
taking out the cap or breaking the bottle?
41
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Decision Tree Analysis
Decision Definition Decision Node Chance Node Outcome Node
Decision to be made Input: Cost of each decision
Output: Decision made
Input: Scenario probability,
reward if occurs.
Output: EMV
Computed:
Payoffs minus costs
along paths
TIME
$80M
($30M)
Build new plant
(invest $120M)
Upgrade Plant
(invest $50M)
Build or
Upgrade?
Strong Demand
($200M)
60%
40%
60%
40%
Weak Demand
($90M)
Strong Demand
($120M)
Weak Demand
($60M)
$70M
$10M
$80M = $200M - $120M
$(30M) = $90M - $120M
$70 = $120M - $50M
$10 = $60M - $50M
$36M = .6 x 80M + .4 x ($30M)
EMV of ā€œBuild new plantā€
$46M = .6 x 70M + .4 x $10M
EMV of ā€œUpgrade plantā€
Decision EMV = $46M
(the largest of $36M and $46M)
Decision node
Chance node
Outcome node
42
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Sensitivity or ā€œWhat-ifā€ Analysis
ā€¢ A method for determining how ā€œsensitiveā€ your
model results are to parameter values.
ā€“ Sensitivity of NPV, sensitivity of policy choice.
ā€¢ Methodically entering even increments of values to
view the projected outcomes.
ā€¢ Results in a mountain of data indicating the range of
possible outcomes, but no associated probabilities.
43
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Sensitivity Analysis Tool
ā€¢ Spider Diagram
0
40
80
120
160
200
-50 -40 -30 -20 -10 0 10 20 30 40 50
Percentage change
NPV
($
mln)
Capex
Opex
Oil Price
Production
44
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Sensitivity Analysis Tool
ā€¢ Tornado Diagram
Sensitivity analysis will tell you what is important and
the main key value drivers where you should be focusing your attention.
45
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
b. Stochastic Approach
1. Probability Distribution Function (PDF)
2. Managing Uncertainty ā€“ The PERT Approach
3. Monte Carlo Simulation Technique
46
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Probability Distribution Function
ā€¢ Statistical concepts
47
Mean or Average
ā€¢ 8, 25, 7, 5, 8, 3, 10, 12, 9 -> Mean is 9.67;
Mode or Most Likely
ā€¢ 8, 25, 7, 5, 8, 3, 10, 12, 9 -> -> Mode is 8;
Median or P50
ā€¢ 3, 5, 7, 8, 8, 9, 10, 12, 25 -> Median is 8.
Standard Deviation (SD or Ļƒ):
ā€¢ shows how much variation or dispersion from the average exists.
2
1
)
(
1
1
, āˆ‘
=
āˆ’
āˆ’
=
N
i
i X
x
n
SD Ļƒ 33
.
6
1
9
0001
.
320
, =
āˆ’
=
Ļƒ
SD
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
How to calculate Mean, Mode,
Median and Standard Deviation
Score (x) Mean (M) Score - mean (D) Dā‚‚
8 9.67 -1.67 2.7889
25 9.67 15.33 235.0089
7 9.67 -2.67 7.1289
5 9.67 -4.67 21.8089
8 9.67 -1.67 2.7889
3 9.67 -6.67 44.4889
10 9.67 0.33 0.1089
12 9.67 2.33 5.4289
9 9.67 -0.67 0.4489
87 320.0001
N = 9 40.00001
9.666667 Stand Deviation = 6.324556
48
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Discrete Probability Distributions
ā€¢ Discovery with several possible outcomes
Outcome
10%
20%
30%
20%
10%
10%
NPV = $5MM = Outcome 1
NPV = $10MM = Outcome 2
NPV = $15MM = Outcome 3
NPV = $20MM = Outcome 4
NPV = $25MM = Outcome 5
NPV = $30MM = Outcome 6
30%
10%
20%
40%
50%
Probability
5 10 15 25
20 30
Outcomes ($MM)
60%
20%
40%
80%
100%
ā€œLess thanā€ Cumulative
Probability Distribution
5 10 15 25
20 30
Outcomes ($MM) 49
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Frequently used Probability Distributions
1. Triangular Distribution
(Porosity)
2. Uniform/Rectangular /Even
Distribution (Oil Saturation)
3. Normal Distribution
(Net Pay, NPV)
4. Lognormal Distribution
(Reserves)
{Mode} = {Median} = {Mean}
F(x) = height = 1/(b ā€“ a)
{Mode} < {Median} < {Mean}
{Mode} = {Median} = {Mean}
F(x) = (min + 4mode + max)/6
50
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
PERT Analysis
ā€¢ Program Evaluation and Review Techniques (PERT)
ā€¢ PERT Analysis is often used to determine three level
estimates:
ā€“ To ā€“ Optimistic (low) estimate
ā€“ Tm ā€“ Most Likely (medium) estimate
ā€“ Tp ā€“ Pessimistic (high) estimate
NB: We shall discuss more on PERT Analysis in Lecture 3 51
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
P50/P10/P90 Estimates
ā€¢ P50 (50/50) or Most Likely Estimate
ā€“ Estimate which has equal probability of over or under-run.
ā€¢ P10 (10/90) or Pessimistic Estimate
ā€“ Estimate which has a 10% probability of under-run and
90% of over-run.
ā€¢ P90 (90/10) or Optimistic Estimate
ā€“ Estimate which has a 90% probability of under-run and
10% of over-run.
52
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Monte Carlo Simulation Technique
ā€¢ What is it?
ā€“ A stochastic technique, which randomly generates values
for uncertain variables over and over to simulate a
model.
ā€“ It uses PDF as the inputs to estimate a distribution of
possible outcomes for an output variable (in Excel, a
formula)
ā€“ It explores the range of possible outcomes and the
probability of their occurrence..
53
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Monte Carlo Simulation
54
How do you do it?
1. Calculate the cash flow (or other relationships) for the
picked values.
2. Develop Excel Function.
3. Define probability distribution for each input variable
(assumption cells).
4. Calculate the desired parameter ā€“ NPV, Profit, ROI etc
(forecast cells).
5. Pick any item of forecast cells and click on forecast button
to simulate the outcome (Crystal ball starts to run and at
the end shows the mean and SD for the output
distribution).
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Triangular Distribution Function
55
5 HP Pump
Monte Carlo Run:
1.8 M US$
2.45 M US$
2.25 M US$
1.95 M US$
2.7 M US$
One outcome:
11.15 M USD.
Run consists of
10,000 simulations
so 10,000 possible
outcomes.
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
How a Risk system works in
Petroleum Ventures?
INPUT SHEET
Source Parameters
Trap Area
Reservoir Thickness
Porosity
Water Saturation
Recovery Factor
Etc.
MONTE CARLO
TECHNICAL
CONFIDENCE
RESOURCES
HISTOGRAMS
ļƒ™ =
56
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Oil Prospect Reserve Calculation
ā€¢ 1 ITERATION
Minimum
Most Likely
Maximum
57
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Monte Carlo Simulation ā€“ output distributions
Cumulative Chart
Certaintyis30.80%from2.000to+InfinityUS
$m
illion
Mean=1.557
.000
.250
.500
.750
1.000
0
250
500
750
1000
-1.000 0.250 1.500 2.750 4.000
1,000Trials 1O
utlier
Forecast:N
PV@10%discount rate
58
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
59
Comparison of Value Outcomes
of Two Petroleum Ventures
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk Attitude
Risk Averse ā€“ Youā€™re willing to pay a premium or
penalty to avoid risk.
Risk-Neutral ā€“ You are rational person and your
decisions are based solely on expected monetary
value (EMV) concept.
Risk-Seeker ā€“ Youā€™re willing to pay a premium or
penalty to accept risk.
60
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Applying EMV Concept to Determine the
Risk Attitude of a Decision Maker
Preferred Value Risk Attitude
Petroleum Engineer A $3.5 million Risk Neutral
Petroleum Engineer B $1.0 million Risk Averse
Petroleum Engineer C $2.0 million Less Risk Averse
Petroleum Engineer D $5.0 million Risk Seeker
Adapted from Walls, M. R., Combining decision analysis and portfolio management to improve
project selection in the exploration and production firm, JPS&E, 2004
To Farm out
To Drill
Probable
P1 = 0.6
P2 = 0.4
Failure
EV = $3.5 million
$7.5 million
$2.5 million
$0
NPV
Adapted from www.projectdecision.org
61
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
5. Manage Risks:
Risk Response Approach
ā€¢ Take ā€“ Accept current severity level as is and
continue to apply responses as in place
ā€¢ Treat or Mitigate ā€“ Accept the risk per se, but
deploy additional and/or new responses,
implement measures to decrease severity level
ā€¢ Transfer ā€“ Do not accept current severity level, but
transfer all or part of it to others ( e.g. through
insurance or contracting strategy)
ā€¢ Terminate ā€“ Change the business plan in order to
avoid the risk.
62
A realistic Risk Response approach often involves a 4T combination
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Risk Response Technique
63
Bow-tie Model
Hazard
Avoid
The
Hazard
Threats
Proactive measures
- Prevent
- Mitigate
- Transfer
(take preventive measures to reduce
Chance of top events occurring
Top event
Consequences
Re-active measures
- Remediate
-Recover (put remediation in
place to control the damage)
Lessen
The
Threats
RECOVERY
PREPAREDNESS
MEASURES
BARRIERS
Likelihood Top Event Effect/Impact
Conduct Risk Analysis
Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ®
Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007)
Lecture Key Points
ā€¢ Risk is often measured by the variance or semi- variance in
the return on the investment or the probability of loss
(negative present worth).
ā€¢ Sensitivity analysis determines which parameters are most
critical to a projectā€™s worth. These are the parameters that
must be examined closely in any ensuing economic analysis.
ā€¢ A random variable takes on different values (or ranges of
different values) with different probabilities. The variance
provides some measure of the spread of a random variable.
ā€¢ Monte Carlo simulation is a technique used to evaluate cash
flows or cashflow inputs defined by a variety of distributions.
64
Questions for self-assessment
1. What are the four risk questions to ask when planning a project or
making an investment decision?
2. Distinguish between Risk and Hazard. How do you perform a Risk
assessment matrix (RAM)?
3. Mention four basic statistical concepts used for developing probability
distribution function. What does PERT means? What are the level
estimates used for calculating PERT? How is EV calculated in PERT?
4. Mention two tools that are used for performing sensitivity analysis in oil
and gas risk assessment.
5. Define decision tree. What are the three nodes you require to perform a
decision tree analysis? How do you distinguish the nodes from one
another?
6. Mention four common types of probability density distributions used for
performing Monte Carlo simulations in the oil and gas industry.
Project Planning &
Scheduling Techniques
Lecture 3
66

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Lecture 2 petroleum risks &amp; decision analysis(4)

  • 1. Lecture 2 Dr Ebenezer Sholarin, PMPĀ® Hydrocarbon Economics & Project Management PEEN4001/ECON6007 Petroleum Risk & Decision Analysis 1
  • 2. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) ā€œIf you are sure you understand everything that is going on, you are hopelessly confused.ā€ ā€¢ Walter F. Mondale 2
  • 3. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Lecture objective The overall objective of this lecture is to develop engineers who have critical thinking skills to identify opportunities, solve problems and make more confident decisions in the presence of risks and uncertainty. 3
  • 4. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Lecture Outline ā€¢ Defining Risk and Uncertainty ā€¢ Identifying uncertainties in the E&P business ā€¢ Expressing and combining uncertainties ā€“ One point analysis ā€“ Three-point distributions ā€“ Subjective probabilities and expected value concepts ā€¢ Tools for quantifying Risk ā€“ Sensitivity analysis ā€“ Decision tree analysis ā€“ Monte Carlo simulation ā€¢ Dealing with Risk Using Bow-Tie Model 4
  • 5. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Characteristics of Petroleum Venture ā€¢ Oil and gas industry is prone to risks and uncertainties: ā€“ Oil and Gas reserve uncertainty ā€“ Exploration uncertainty (Capital & Operating Costs) ā€“ Oil and Gas price uncertainty ā€“ Production uncertainty (Royalty, Tax, PSC) ā€“ Demand uncertainty ā€“ Supply uncertainty ā€¢ Oil and gas industry is complex industry affected by: ā€“ Global risks (political, legal, commercial and environmental) ā€“ Element risks (construction, operation, financing and revenue generation) ā€“ Both risks categories affects upstream and downstream phases 5
  • 6. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Degrees of Uncertainty in oil and gas projects Level of Uncertainty Exploration appraisal Development Production Project Management Phases Low High 6
  • 7. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Case Study(1) Varanus Island Gas Explosion ā€¢ In 2008, an export gas pipeline ruptured near the Apache Varanus Island gas plant, causing a fire in a large section of the plant. The loss of containment was caused by corrosion and resultant thinning of the pipe wall. ā€¢ Key outcomes from the post-incident investigation: ā€“ Ineffective anti-corrosion coating at the beach crossing; ā€“ Ineffective cathodic protection of the wet- dry transition zone; and ā€“ Ineffective inspection and monitoring of the beach crossing and shallow water section of the pipeline. 7
  • 8. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Case Study(2): BP Macondo Oil Well Disaster 2010 ā€¢ Oil rig blaze off Louisiana leaves at least 11 missing (21st April, 2010) ā€“ http://news.bbc.co.uk/2/hi/americas/863487 4.stm ā€“ http://www.youtube.com/watch?v=ttC7o3Jx sxE 8
  • 9. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk perception: People donā€™t think probabilistically! ā€¢ ā€œIt will happen to meā€ or ā€œit will not happen to meā€ ā€¢ Other factors influence protective decisions: worry; peace of mind. ā€¢ Affections and emotions play a key role in decision- making. ā€¢ Biases: likelihood of an event is estimated by the ease with which a person can visualise it. 9
  • 10. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk ā€“ What is it? ā€¢ ā€œThe chance or probability of a successful wildcat discoveryā€ (Simpson, et al 2000) ā€¢ ā€œThe potential for outcomes that are quite differentā€ (Schuyler & Newendorp, 2000) ā€¢ ā€œThe chance of success or an opportunity for lossā€ (Megill, 1988) 10
  • 11. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risked Reserves categories ā€¢ SPE/WPC ā€“ Society of Petroleum Engineers (SPE) ā€“ World Petroleum Congress (WPC) Proved reserves (Reasonable certainty) Probable reserves (More likely than not) Possible reserves (less likely than probable) 1P 2P 3P 11
  • 12. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Dimensions of Risk Risk has two components: ļƒ˜ The probability of failing to achieve a particular outcome. ļƒ˜ The consequences of failing to achieve that outcome. ā€¢ Risk Management is a methodical approach to controlling risk. ā€¢ Goal: Discover early, track closely 12
  • 13. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk versus Hazard ā€¢ Some definitions of risk focus only on the probability of an event occurring. ā€“ Hazard is something that has potential to lead to a situation that we do not like (e.g. potential to cause harm to people, damage to assets or facilities, business loss, etc.) ā€“ Risk is the likelihood that a specific undesired event will occur within a specified period. ā€¢ Risk is a function of both the likelihood and consequence of a specific hazard being realized. 13
  • 14. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Some examples of Risky Events ā€¢ Scope Creep, ā€¢ Poor Task Duration Estimate ā€¢ Subcontractor delay/default or declaring bankruptcy (e.g. construction, etc.) ā€¢ Vendor delay/default (e.g. unstable code; contractual/legal) ā€¢ Hydrate formation in subsea flowlines and pipelines ā€¢ Resource limitation or conflicts ā€¢ Technical issues: interfaces, pump failure, ineffective new technology ā€¢ Political change: a war or coup in a country, where exploration is being conducted. ā€¢ Funding/Budget overrun ā€¢ Think of any other risk event! 14
  • 15. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) The Key Risk Questions to ask: ā€¢ What can go wrong? ā€“ Scope creep, poor estimate, insufficient funding, etc. ā€¢ How likely is it to happen? ā€“ What is the likelihood that crude prices will fall to $10/bbl in the next few years? ā€¢ What are the consequences? ā€“ What effect will low price have on the decisions we are now considering? ā€¢ What can we do about it? ā€“ In high risk areas are we better off to place our capital in a few fully owned wells or should we take a small piece of many exploration prospects? ? ? ? 15
  • 16. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) What can go wrong? Main cause Problem (Effect) Cause Level 1 Cause Level 2 Cause-and-Effect Diagram
  • 17. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) What might go wrong for doing business as usual? 17
  • 18. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Probability Scale Wonā€™t Happen (Unknown-unknown) Will happen (Known-known) Probability of occurrence 0 .1 .2 .3 .4 .5 .6 .7 .8 .9 1.0 Ī£Pi = 1 Where (1 ā€“ Ps) = Pf, i.e., the probability of getting a dry hole. If Ps + Pf = 0, then the outcome will certainly not occur. If Ps + Pf = 1, then the outcome will certainly occur. 18
  • 19. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) What is Probability? ā€¢ A chance that a specified consequence will happen. ā€“ Calculated as the long run ratio of the number of times the outcome has occurred divided by the total number of times the experiment or chance phenomenon has been repeated. ā€“ It may also be expressed qualitatively in terms of events that have happened in a particular industry, organisation or location. 19
  • 20. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Unwanted consequences Can you think of any? 20
  • 21. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) What can we do about it? ā€¢ Take ā€“ Accept current severity level as is and continue to apply responses as in place ā€¢ Treat ā€“ Accept the risk per se, but deploy additional and/or new responses, implement measures to decrease severity level ā€¢ Transfer ā€“ Do not accept current severity level, but transfer all or part of it to others ( e.g. through insurance or contracting strategy) ā€¢ Terminate ā€“ Change the business plan in order to avoid the risk. 21 A realistic Risk Response approach often involves a 4T combination
  • 22. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) How to deal with Risky events? 1. Identify - Risk register 2. Qualify - Probability x Impact/Consequence 3. Assess - Risk Assessment Matrix 4. Quantify - Expected Monetary Value Analysis, Sensitivity analysis, Monte Carlo simulation) 5. Manage (respond & Control) - mitigate, avoid, accept, insure, track, control, replan. 22
  • 23. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 1. Identify Risks: Risk Register 23
  • 24. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 2. Qualify Risks: Probability and Impact Risk Event: Good or Bad Thing That Might Happen (A) Probability It Might Happen (1-10) (B) Impact (Consequence) If It Happens (1-10) PLAN Plan what you Will do on the BIGones (A) X (B) 24
  • 25. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk Equation X RISK = LIKELIHOOD IMPACT Consequence/ Impact Risk = Chance of Hazard Occurrence X 25
  • 26. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 3. Assess Risks: Risk Assessment Matrix ā€¢ Colors are indicative of level of risk: Source: Sinclair Knight Merz, 1999:33 26
  • 27. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) RISK QUANTIFICATION 3 4 6 8 12 4 6 9 13 20 7 10 14 20 32 11 16 21 27 40 18 26 36 42 50 Value Rating < 12 12 - 20 > 20 LOW RISK MEDIUM RISK HIGH RISK RISK EVALUATION LIKELIHOOD IMPACT Risk Level Likelihood a b c d e Not Likely Uncertain Likely Highly Likely Nearly Certain LIKELIHOOD LIKELIHOOD factored with IMPACT equalsā€¦ Risk Level Impact on Scope/ Quality/technical performance Impact on Time/ Schedule Impact on Cost/Budget 1 2 3 4 5 Minimal or no impact Minor performance shortfall Moderate delivery shortfall Unacceptable, with alternative Unacceptable, no alternative Minimal or no impact Additional tasks required to meet key dates. Minor schedule slip; will miss critical milestone Impact to critical path. Impact on project delivery date > 10% Minimal or no impact < 1 % of budget < 5% of budget < 10% of budget >10% of budget. IMPACT a b c d e 1 2 3 4 5 27
  • 28. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 4. Quantify Risks: Risk Analysis Approaches a. Deterministic Approach I. Single Point Estimation II. Expected Value Concept III. Sensitivity Analysis IV. Decision Tree Analysis b. Stochastic Approach I. Probability Distribution Function (PDF) II. PERT Analysis III. Monte Carlo Simulation. 28
  • 29. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Deterministic Vs Stochastic Approach to dealing with Uncertainty Range of Uncertainty Stochastic (Probabilistic) Approach TOTAL GAS-INITIALLY-IN-PLACE GAS PRODUCTION Reserves Proved Probab Possib. Unrecoverable Contingent Resources Unrecoverable Prospective Resources 1-P 2-P 3-P 1-C 2-C 3-C LOW EST BEST EST HIGH EST Range of Uncertainty Increasing Chance of Commerciality Deterministic Approach What can go wrong? How likely is it to happen? What can we do about it? What are our reserves estimates? What is our production target? What is our range of uncertainty? Not to scale 29
  • 30. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) a. Deterministic Approach 1.1 Single Point Estimation 30 5 HP Pumps Base Estimate 5 x 2.0 = 10 M USD Then adding deterministic contingencies ļ¬ Data assumed to be known with certainty Strengths: Insert the most likely or EV in the spreadsheet to determine outcome; Quick and easy. Weakness: Misleading Target Acceptable
  • 31. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Deterministic Approach (cont.) 1.2 Expected Value (EV) Concept 1.3 Decision Analysis ā€¢ Decision framing or structuring the problem, using a Decision Tree. ā€¢ Modelling the alternatives ā€¢ Assessing the alternatives 31
  • 32. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Expected Value Concept ā€¢ Decision alternative ā€“ an option, or choice, open to the decision-maker. ā€¢ Outcome or Event ā€“ something which could occur once a decision is made. ā€¢ Conditional value of an outcome ā€“ the value of an event, if it occurs. ā€¢ Expected Value of an outcome ā€“ conditional value of the outcome multiplied by the probability that it will occur. ā€¢ Expected Monetary Value ā€“ used when we are referring to the EV of an event which has a conditional monetary value. 32
  • 33. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) The Power of choice "It is our choices ... that show what we truly are, far more than our abilities". - J.K. Rowling ā€œThe art and science of decision-making is applying decision policy to make rational choices". What if a decision is sensitive to probability?
  • 34. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) An EV Table for G5 Gas Injection Option Possible Outcome Probability Outcome (mln.) EV ($mln.) No effect 0.01 $22.6 $0.3 Low 0.33 $32.4 $10.7 Medium 0.33 $40.8 $13.5 High 0.33 $71.1 $23.5 1.00 EMV = $47.8 million 34
  • 35. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Normative Decision Analysis Tools ā€¢ Traditional normative decision analysis aids: ā€“ Linear/Goal programming ā€“ Queuing theory ā€“ Simulation ā€“ Stochastic models ā€¢ Modern normative decision analysis aids ā€“ Geological interpretation models ā€“ Reservoir models ā€“ Monte Carlo Simulation ā€“ Decision Trees
  • 36. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) An Example of Decision Modeling Drill/ No drill Capital Expenditure Operational Expenditure Market Share R&D Costs Exploration Costs Oil/Gas Revenue Number of Barrels Market Size Unit Price NPV Legend: Value Measure Probabilistic Variable Deterministic Variable Decision/Choice
  • 37. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) A Decision Analysis for a secondary oil recovery project G5 W1 22.6 21.6 0.01 0.01 0.33 32.4 0.33 25.6 NPV 47.8 0.33 40.8 32.0 0.33 29.1 0.33 0.33 71.1 41.7 22.6% 21.9% 0.01 0.01 0.33 27.6% 0.33 24.0% IRR 34.8% 0.33 27.0% 0.33 25.7% 31.7% 0.33 0.33 45.5% 31.6% ā€¢ Based on the above information, which option would you choose, and why? ā€¢ Do you know how the EMV for G5 and W1 was calculated? 37
  • 38. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) EV of example drilling decision ā€¢ Suppose we have the opportunity to drill a well on a prospect which, if successful, is expected to lead to a development with an estimated NPV of $100 million. Suppose the well costs $5 million and the estimated POS is 10%. ā€¢ The different outcomes and their conditional values are shown below: Drilling decision Well cost = $5MM Drill Donā€™t Drill Discovery (10%) Dry Hole (90%) $0.00 -$5MM = Outcome 2 +$100MM = Outcome 1 EV = ($100MM * 10%) + (-$5MM * 90%) = ($10MM - $4.5MM) = $5.5MM EV = Conditional Value of Success * Ps + Conditional Value of Failure * Pf 38
  • 39. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Expected Value Balances all Risk & Reward Factors ā€¢ Field size ā€¢ Production rate ā€¢ Markets ā€¢ Cost of development ā€¢ Cost of operation ā€¢ PSC effects ā€¢ Royalties ā€¢ Taxes ā€¢ Discount rate Reservoir depth, Location, etc NPV(Dev)*Ps Reward EV = + Geology NPV(Well)*Pf Risk 39
  • 40. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Decision Tree ā€¢ A graphical representation of complex decisions and with provisions for the calculation of decision paths. ā€¢ Represents various events with unique symbols. ā€¢ A square node and a circular node generally represent a decision and an uncertainty. 40
  • 41. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Using Decision Tree to Resolve a Complex Problem ā€¢ If you put a small coin into an empty bottle and replace the cap, how would you get the coin out of the bottle without taking out the cap or breaking the bottle? 41
  • 42. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Decision Tree Analysis Decision Definition Decision Node Chance Node Outcome Node Decision to be made Input: Cost of each decision Output: Decision made Input: Scenario probability, reward if occurs. Output: EMV Computed: Payoffs minus costs along paths TIME $80M ($30M) Build new plant (invest $120M) Upgrade Plant (invest $50M) Build or Upgrade? Strong Demand ($200M) 60% 40% 60% 40% Weak Demand ($90M) Strong Demand ($120M) Weak Demand ($60M) $70M $10M $80M = $200M - $120M $(30M) = $90M - $120M $70 = $120M - $50M $10 = $60M - $50M $36M = .6 x 80M + .4 x ($30M) EMV of ā€œBuild new plantā€ $46M = .6 x 70M + .4 x $10M EMV of ā€œUpgrade plantā€ Decision EMV = $46M (the largest of $36M and $46M) Decision node Chance node Outcome node 42
  • 43. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Sensitivity or ā€œWhat-ifā€ Analysis ā€¢ A method for determining how ā€œsensitiveā€ your model results are to parameter values. ā€“ Sensitivity of NPV, sensitivity of policy choice. ā€¢ Methodically entering even increments of values to view the projected outcomes. ā€¢ Results in a mountain of data indicating the range of possible outcomes, but no associated probabilities. 43
  • 44. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Sensitivity Analysis Tool ā€¢ Spider Diagram 0 40 80 120 160 200 -50 -40 -30 -20 -10 0 10 20 30 40 50 Percentage change NPV ($ mln) Capex Opex Oil Price Production 44
  • 45. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Sensitivity Analysis Tool ā€¢ Tornado Diagram Sensitivity analysis will tell you what is important and the main key value drivers where you should be focusing your attention. 45
  • 46. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) b. Stochastic Approach 1. Probability Distribution Function (PDF) 2. Managing Uncertainty ā€“ The PERT Approach 3. Monte Carlo Simulation Technique 46
  • 47. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Probability Distribution Function ā€¢ Statistical concepts 47 Mean or Average ā€¢ 8, 25, 7, 5, 8, 3, 10, 12, 9 -> Mean is 9.67; Mode or Most Likely ā€¢ 8, 25, 7, 5, 8, 3, 10, 12, 9 -> -> Mode is 8; Median or P50 ā€¢ 3, 5, 7, 8, 8, 9, 10, 12, 25 -> Median is 8. Standard Deviation (SD or Ļƒ): ā€¢ shows how much variation or dispersion from the average exists. 2 1 ) ( 1 1 , āˆ‘ = āˆ’ āˆ’ = N i i X x n SD Ļƒ 33 . 6 1 9 0001 . 320 , = āˆ’ = Ļƒ SD
  • 48. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) How to calculate Mean, Mode, Median and Standard Deviation Score (x) Mean (M) Score - mean (D) Dā‚‚ 8 9.67 -1.67 2.7889 25 9.67 15.33 235.0089 7 9.67 -2.67 7.1289 5 9.67 -4.67 21.8089 8 9.67 -1.67 2.7889 3 9.67 -6.67 44.4889 10 9.67 0.33 0.1089 12 9.67 2.33 5.4289 9 9.67 -0.67 0.4489 87 320.0001 N = 9 40.00001 9.666667 Stand Deviation = 6.324556 48
  • 49. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Discrete Probability Distributions ā€¢ Discovery with several possible outcomes Outcome 10% 20% 30% 20% 10% 10% NPV = $5MM = Outcome 1 NPV = $10MM = Outcome 2 NPV = $15MM = Outcome 3 NPV = $20MM = Outcome 4 NPV = $25MM = Outcome 5 NPV = $30MM = Outcome 6 30% 10% 20% 40% 50% Probability 5 10 15 25 20 30 Outcomes ($MM) 60% 20% 40% 80% 100% ā€œLess thanā€ Cumulative Probability Distribution 5 10 15 25 20 30 Outcomes ($MM) 49
  • 50. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Frequently used Probability Distributions 1. Triangular Distribution (Porosity) 2. Uniform/Rectangular /Even Distribution (Oil Saturation) 3. Normal Distribution (Net Pay, NPV) 4. Lognormal Distribution (Reserves) {Mode} = {Median} = {Mean} F(x) = height = 1/(b ā€“ a) {Mode} < {Median} < {Mean} {Mode} = {Median} = {Mean} F(x) = (min + 4mode + max)/6 50
  • 51. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) PERT Analysis ā€¢ Program Evaluation and Review Techniques (PERT) ā€¢ PERT Analysis is often used to determine three level estimates: ā€“ To ā€“ Optimistic (low) estimate ā€“ Tm ā€“ Most Likely (medium) estimate ā€“ Tp ā€“ Pessimistic (high) estimate NB: We shall discuss more on PERT Analysis in Lecture 3 51
  • 52. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) P50/P10/P90 Estimates ā€¢ P50 (50/50) or Most Likely Estimate ā€“ Estimate which has equal probability of over or under-run. ā€¢ P10 (10/90) or Pessimistic Estimate ā€“ Estimate which has a 10% probability of under-run and 90% of over-run. ā€¢ P90 (90/10) or Optimistic Estimate ā€“ Estimate which has a 90% probability of under-run and 10% of over-run. 52
  • 53. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Monte Carlo Simulation Technique ā€¢ What is it? ā€“ A stochastic technique, which randomly generates values for uncertain variables over and over to simulate a model. ā€“ It uses PDF as the inputs to estimate a distribution of possible outcomes for an output variable (in Excel, a formula) ā€“ It explores the range of possible outcomes and the probability of their occurrence.. 53
  • 54. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Monte Carlo Simulation 54 How do you do it? 1. Calculate the cash flow (or other relationships) for the picked values. 2. Develop Excel Function. 3. Define probability distribution for each input variable (assumption cells). 4. Calculate the desired parameter ā€“ NPV, Profit, ROI etc (forecast cells). 5. Pick any item of forecast cells and click on forecast button to simulate the outcome (Crystal ball starts to run and at the end shows the mean and SD for the output distribution).
  • 55. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Triangular Distribution Function 55 5 HP Pump Monte Carlo Run: 1.8 M US$ 2.45 M US$ 2.25 M US$ 1.95 M US$ 2.7 M US$ One outcome: 11.15 M USD. Run consists of 10,000 simulations so 10,000 possible outcomes.
  • 56. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) How a Risk system works in Petroleum Ventures? INPUT SHEET Source Parameters Trap Area Reservoir Thickness Porosity Water Saturation Recovery Factor Etc. MONTE CARLO TECHNICAL CONFIDENCE RESOURCES HISTOGRAMS ļƒ™ = 56
  • 57. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Oil Prospect Reserve Calculation ā€¢ 1 ITERATION Minimum Most Likely Maximum 57
  • 58. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Monte Carlo Simulation ā€“ output distributions Cumulative Chart Certaintyis30.80%from2.000to+InfinityUS $m illion Mean=1.557 .000 .250 .500 .750 1.000 0 250 500 750 1000 -1.000 0.250 1.500 2.750 4.000 1,000Trials 1O utlier Forecast:N PV@10%discount rate 58
  • 59. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 59 Comparison of Value Outcomes of Two Petroleum Ventures
  • 60. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk Attitude Risk Averse ā€“ Youā€™re willing to pay a premium or penalty to avoid risk. Risk-Neutral ā€“ You are rational person and your decisions are based solely on expected monetary value (EMV) concept. Risk-Seeker ā€“ Youā€™re willing to pay a premium or penalty to accept risk. 60
  • 61. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Applying EMV Concept to Determine the Risk Attitude of a Decision Maker Preferred Value Risk Attitude Petroleum Engineer A $3.5 million Risk Neutral Petroleum Engineer B $1.0 million Risk Averse Petroleum Engineer C $2.0 million Less Risk Averse Petroleum Engineer D $5.0 million Risk Seeker Adapted from Walls, M. R., Combining decision analysis and portfolio management to improve project selection in the exploration and production firm, JPS&E, 2004 To Farm out To Drill Probable P1 = 0.6 P2 = 0.4 Failure EV = $3.5 million $7.5 million $2.5 million $0 NPV Adapted from www.projectdecision.org 61
  • 62. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) 5. Manage Risks: Risk Response Approach ā€¢ Take ā€“ Accept current severity level as is and continue to apply responses as in place ā€¢ Treat or Mitigate ā€“ Accept the risk per se, but deploy additional and/or new responses, implement measures to decrease severity level ā€¢ Transfer ā€“ Do not accept current severity level, but transfer all or part of it to others ( e.g. through insurance or contracting strategy) ā€¢ Terminate ā€“ Change the business plan in order to avoid the risk. 62 A realistic Risk Response approach often involves a 4T combination
  • 63. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Risk Response Technique 63 Bow-tie Model Hazard Avoid The Hazard Threats Proactive measures - Prevent - Mitigate - Transfer (take preventive measures to reduce Chance of top events occurring Top event Consequences Re-active measures - Remediate -Recover (put remediation in place to control the damage) Lessen The Threats RECOVERY PREPAREDNESS MEASURES BARRIERS Likelihood Top Event Effect/Impact Conduct Risk Analysis
  • 64. Lecture 2_Petroleum Risks and Decision Analysis Prepared by Dr Ebenezer A. Sholarin, PMPĀ® Hydrocarbon Economics & Project Management (PEEN4001/Econ 6007) Lecture Key Points ā€¢ Risk is often measured by the variance or semi- variance in the return on the investment or the probability of loss (negative present worth). ā€¢ Sensitivity analysis determines which parameters are most critical to a projectā€™s worth. These are the parameters that must be examined closely in any ensuing economic analysis. ā€¢ A random variable takes on different values (or ranges of different values) with different probabilities. The variance provides some measure of the spread of a random variable. ā€¢ Monte Carlo simulation is a technique used to evaluate cash flows or cashflow inputs defined by a variety of distributions. 64
  • 65. Questions for self-assessment 1. What are the four risk questions to ask when planning a project or making an investment decision? 2. Distinguish between Risk and Hazard. How do you perform a Risk assessment matrix (RAM)? 3. Mention four basic statistical concepts used for developing probability distribution function. What does PERT means? What are the level estimates used for calculating PERT? How is EV calculated in PERT? 4. Mention two tools that are used for performing sensitivity analysis in oil and gas risk assessment. 5. Define decision tree. What are the three nodes you require to perform a decision tree analysis? How do you distinguish the nodes from one another? 6. Mention four common types of probability density distributions used for performing Monte Carlo simulations in the oil and gas industry.
  • 66. Project Planning & Scheduling Techniques Lecture 3 66