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The Role of Cost-Benefit Analysis
Presentation by Dr. Benoit Laplante
Bangkok, Thailand
November 23 to 25, 2016
Session 8:
CBA Step 7 Dealing with Uncertainty
Step 2: Identify all potential physical impacts of the project.
Step 4: Monetize impacts.
Step 5: Discount to find present value of costs and benefits.
Step 6: Calculate net present value.
Step 7: Perform expected value and/or sensitivity analysis.
Step 8: Make recommendations.
Step 3: Quantify the predicted impacts: With and without project
Step 1: Define the scope of analysis.
8 steps
Step 2: Identify all potential physical impacts of the project.
Step 4: Monetize impacts.
Step 5: Discount to find present value of costs and benefits.
Step 6: Calculate net present value.
Step 7: Perform expected value and/or sensitivity analysis.
Step 8: Make recommendations.
Step 3: Quantify the predicted impacts: With and without project
Step 1: Define the scope of analysis.
8 steps
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
When we assess the economic efficiency of a policy, we
look into the future and we ask how this future may look
like without the policy, and then with the policy.
That future is unknown.
Yet, decisions must be made.
The ultimate objective of accounting for risk is to increase our
level of confidence in the nature of the recommendations which
will emerge from the economic analysis.
Overall approach
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk or uncertainty
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
Approach 1: Sensitivity analysis
Approach 2: Expected value analysis
Test the sensitivity of the results (NPV) to various possible
realizations of the key variables of the analysis.
Takes into account that the realization of some benefits and/or
costs components may depend on occurrence of specific known
states of the world.
Should always do sensitivity analysis.
Should be used when we have (1) reasonably adequate
knowledge about possible future states of the world; (2) how
these future states may impact parameter values; and (3)
reasonably known probability distributions over these states of
the world.
Outline of presentation
Approach 3: Scenario analysis
Test the sensitivity of the results (NPV) to various possible
realizations of the key variables of the analysis.
Outline of presentation
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
Test the sensitivity of the results to various possible realizations
of the key variables of the analysis.
Principle:
Option 1: Try out a number of different realizations for key
parameters, one at a time or in combination.
Option 3: Try out worst-case or best-case scenario.
3 different options to conducting sensitivity analysis:
Option 2: Calculate switch (or trigger) values.
Approach 1: Sensitivity analysis
Suppose that NPV is positive (base case scenario).
Questions such as:
 What happens to NPV if cost x% higher?
 What happens to NPV if benefit x% lower?
 What happens to NPV if cost x% higher and benefit x%
lower?
 What happens to NPV if benefits start to be realized x years
later than expected? Is NPV
 What’s the largest increase in cost (or decrease in benefit)
which the policy could experience and still deliver positive
NPV? These are switch (or trigger) values.
 What’s the worst cost scenario? What’s the worse benefit
scenario? Is NPV still positive?
Approach 1: Sensitivity analysis
Sensitivity analysis appears “unsophisticated”. Yet it can be very
useful in identifying key cost and/or benefit components of the
policy/project which can have a decisive impact on the outcome.
Results from sensitivity analysis may trigger a search for more
accurate or reliable information.
Approach 1: Sensitivity analysis
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
Essentially transforms the treatment of uncertainty as risk.
An expected value analysis aims to attach probabilities to each
possible realization of a variable and to estimate the expected
value of this variable.
Principle:
Approach 2: Expected value analysis
There are two crucial components to an expected value analysis.
Component 1:
Component 2:
Note: Probabilities must sum up to 1.
Need a set of possible “states of the world”.
Need to assign probabilities to each state of the world.
Need to assign probabilities to each state of the world.
Approach 2: Expected value analysis
The validity of expected value analysis critically depends on
the assigned probabilities: the more empirically based they
are, the more valid the exercise.
Possible sources of probabilities:
 History: Historically observed frequencies
 Expert opinions
Approach 2: Expected value analysis
Example:
Exceedance probability function used in the natural hazards
literature.
Frequency Damages (millions)
1 in 100 year event 10
5 in 100 year event 8
10 in 100 year event 5
20 in 100 year event 2
50 in 100 year event 0.5
Approach 2: Expected value analysis
Example:
Exceedance probability function used in the natural hazards
literature.
Frequency Probability in any
given year
Damages (millions)
1 in 100 year event 1% 10
5 in 100 year event 5% 8
10 in 100 year event 10% 5
20 in 100 year event 20% 2
50 in 100 year event 50% 0.5
Approach 2: Expected value analysis
Approach 2: Expected value analysis
Exceedance probability
function
Approach 2: Expected value analysis
Example:
Exceedance probability function used in the natural hazards
literature.
Frequency Probability in
any given year
Damages (millions)
1 in 100 year event 1% 10
5 in 100 year event 5% 8
10 in 100 year event 10% 5
20 in 100 year event 20% 2
50 in 100 year event 50% 0.5
Expected damage in any given year =
(1% * 10) + (5% * 8) + (10% * 5) + (20% * 2) + (50% * 0.5) = 1.65 millions
Approach 2: Expected value analysis
Expected annual
damages is area under
the curve.
Approach 2: Expected value analysis
Example:
What’s the annual benefit of an early system which would reduce
damages in the following way:
Probability in any
given year
Damages without
early warning
(millions)
Damages with
early warning
(millions)
1% 10 7
5% 8 6
10% 5 4
20% 2 2
50% 0.5 0.5
Approach 2: Expected value analysis
Example:
Expected annual damage without early warning 1.65
Expected annual damage with early warning 1.42
Annual expected benefit of early warning 0.23
Approach 2: Expected value analysis
Exceedance probability
function without EW
Exceedance probability
function with EW
The area between the two curves is the expected
annual benefit of the early warning system.
Approach 2: Expected value analysis
Expected value analysis
A slightly more complex approach is to allow for the fact that
there may be uncertainty over more than one variable at one
time. Then, a joint probability distribution of the expected
net present value of the project can be calculated.
The Monte Carlo sensitivity analysis is a more sophisticated
analysis that allows drawing from multiple, simultaneous
probability distributions and computing joint probability
distributions and expected net present value for each. By
executing thousands of ‘drawings’ from the probability
distributions, the software can generate a distribution of
expected net present value, along with the variance.
Approach 2: Expected value analysis
Monte Carlo Analysis
Step 2: For each parameter, define a probability distribution.
Step 1: Define all parameters for which a range of values are
available and over which there is uncertainty.
Step 3: Draw a value for each parameter according to the
specified probability distribution.
Step 4: Calculate NPV for the drawn parameters’ values.
Step 5: Repeat the exercise 50,000 times or more.
Approach 2: Expected value analysis
Outcome of a Monte Carlo Simulation:
Distribution of NPV
Expected NPV
Approach 2: Expected value analysis
Running Monte Carlo Simulation:
2 softwares commonly used:
 Palisade@RISK
 Oracle Crystal Ball
Note:
The outcome of an expected value analysis is only as good as
the inputs into it.
Approach 2: Expected value analysis
4. Approach 2: Expected value analysis
3. Approach 1: Sensitivity analysis
2. Three approaches to account for risk
1. Overall approach
Outline of presentation
5. Approach 3: Scenario analysis
Accounting for uncertainty
Key issue with climate change is not risk, but it is uncertainty.
We do not know what will be the change in climate
parameters in the future.
 We know it will be warmer in 2050 than what it is today
(assuming no other event). But is it going to be 0.6 C
warmer, or 0.7, or 0.8, or 1.0, or 1.1? And we cannot attach
probability on projections.
 Projections of precipitation change is even more difficult.
Some global circulation models (GCMs) project decrease
in precipitation, some GCMs project increase in
precipitation. And we cannot attach probability on
projections.
 Scenario analysis
• Compute NPV of investment or policy under different
scenarios.
• Informed decision-makers to decide.
Accounting for uncertainty
Projected changes in precipitation
Estimated change in agricultural productivity
Projected changes in precipitation
Projected changes in water availability
Estimated change in agricultural productivity
Projected changes in precipitation
Projected changes in water availability
Projected changes in agricultural
productivity
Estimated change in agricultural productivity
Projected changes in precipitation
Projected changes in water availability
Projected changes in agricultural
productivity
Projected changes in NPV
Estimated change in agricultural productivity
The Role of Cost-Benefit Analysis
Presentation by Dr. Benoit Laplante
Bangkok, Thailand
November 23 to 25, 2016
Session 8:
CBA Step 7 Dealing with Uncertainty

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Building Institutional Capacity in Thailand to Design and Implement Climate Programs - CBA step 7

  • 1. The Role of Cost-Benefit Analysis Presentation by Dr. Benoit Laplante Bangkok, Thailand November 23 to 25, 2016 Session 8: CBA Step 7 Dealing with Uncertainty
  • 2. Step 2: Identify all potential physical impacts of the project. Step 4: Monetize impacts. Step 5: Discount to find present value of costs and benefits. Step 6: Calculate net present value. Step 7: Perform expected value and/or sensitivity analysis. Step 8: Make recommendations. Step 3: Quantify the predicted impacts: With and without project Step 1: Define the scope of analysis. 8 steps
  • 3. Step 2: Identify all potential physical impacts of the project. Step 4: Monetize impacts. Step 5: Discount to find present value of costs and benefits. Step 6: Calculate net present value. Step 7: Perform expected value and/or sensitivity analysis. Step 8: Make recommendations. Step 3: Quantify the predicted impacts: With and without project Step 1: Define the scope of analysis. 8 steps
  • 4. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 5. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 6. When we assess the economic efficiency of a policy, we look into the future and we ask how this future may look like without the policy, and then with the policy. That future is unknown. Yet, decisions must be made. The ultimate objective of accounting for risk is to increase our level of confidence in the nature of the recommendations which will emerge from the economic analysis. Overall approach
  • 7. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk or uncertainty 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 8. Approach 1: Sensitivity analysis Approach 2: Expected value analysis Test the sensitivity of the results (NPV) to various possible realizations of the key variables of the analysis. Takes into account that the realization of some benefits and/or costs components may depend on occurrence of specific known states of the world. Should always do sensitivity analysis. Should be used when we have (1) reasonably adequate knowledge about possible future states of the world; (2) how these future states may impact parameter values; and (3) reasonably known probability distributions over these states of the world. Outline of presentation
  • 9. Approach 3: Scenario analysis Test the sensitivity of the results (NPV) to various possible realizations of the key variables of the analysis. Outline of presentation
  • 10. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 11. Test the sensitivity of the results to various possible realizations of the key variables of the analysis. Principle: Option 1: Try out a number of different realizations for key parameters, one at a time or in combination. Option 3: Try out worst-case or best-case scenario. 3 different options to conducting sensitivity analysis: Option 2: Calculate switch (or trigger) values. Approach 1: Sensitivity analysis
  • 12. Suppose that NPV is positive (base case scenario). Questions such as:  What happens to NPV if cost x% higher?  What happens to NPV if benefit x% lower?  What happens to NPV if cost x% higher and benefit x% lower?  What happens to NPV if benefits start to be realized x years later than expected? Is NPV  What’s the largest increase in cost (or decrease in benefit) which the policy could experience and still deliver positive NPV? These are switch (or trigger) values.  What’s the worst cost scenario? What’s the worse benefit scenario? Is NPV still positive? Approach 1: Sensitivity analysis
  • 13. Sensitivity analysis appears “unsophisticated”. Yet it can be very useful in identifying key cost and/or benefit components of the policy/project which can have a decisive impact on the outcome. Results from sensitivity analysis may trigger a search for more accurate or reliable information. Approach 1: Sensitivity analysis
  • 14. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 15. Essentially transforms the treatment of uncertainty as risk. An expected value analysis aims to attach probabilities to each possible realization of a variable and to estimate the expected value of this variable. Principle: Approach 2: Expected value analysis
  • 16. There are two crucial components to an expected value analysis. Component 1: Component 2: Note: Probabilities must sum up to 1. Need a set of possible “states of the world”. Need to assign probabilities to each state of the world. Need to assign probabilities to each state of the world. Approach 2: Expected value analysis
  • 17. The validity of expected value analysis critically depends on the assigned probabilities: the more empirically based they are, the more valid the exercise. Possible sources of probabilities:  History: Historically observed frequencies  Expert opinions Approach 2: Expected value analysis
  • 18. Example: Exceedance probability function used in the natural hazards literature. Frequency Damages (millions) 1 in 100 year event 10 5 in 100 year event 8 10 in 100 year event 5 20 in 100 year event 2 50 in 100 year event 0.5 Approach 2: Expected value analysis
  • 19. Example: Exceedance probability function used in the natural hazards literature. Frequency Probability in any given year Damages (millions) 1 in 100 year event 1% 10 5 in 100 year event 5% 8 10 in 100 year event 10% 5 20 in 100 year event 20% 2 50 in 100 year event 50% 0.5 Approach 2: Expected value analysis
  • 20. Approach 2: Expected value analysis
  • 22. Example: Exceedance probability function used in the natural hazards literature. Frequency Probability in any given year Damages (millions) 1 in 100 year event 1% 10 5 in 100 year event 5% 8 10 in 100 year event 10% 5 20 in 100 year event 20% 2 50 in 100 year event 50% 0.5 Expected damage in any given year = (1% * 10) + (5% * 8) + (10% * 5) + (20% * 2) + (50% * 0.5) = 1.65 millions Approach 2: Expected value analysis
  • 23. Expected annual damages is area under the curve. Approach 2: Expected value analysis
  • 24. Example: What’s the annual benefit of an early system which would reduce damages in the following way: Probability in any given year Damages without early warning (millions) Damages with early warning (millions) 1% 10 7 5% 8 6 10% 5 4 20% 2 2 50% 0.5 0.5 Approach 2: Expected value analysis
  • 25. Example: Expected annual damage without early warning 1.65 Expected annual damage with early warning 1.42 Annual expected benefit of early warning 0.23 Approach 2: Expected value analysis
  • 26. Exceedance probability function without EW Exceedance probability function with EW The area between the two curves is the expected annual benefit of the early warning system. Approach 2: Expected value analysis
  • 27. Expected value analysis A slightly more complex approach is to allow for the fact that there may be uncertainty over more than one variable at one time. Then, a joint probability distribution of the expected net present value of the project can be calculated. The Monte Carlo sensitivity analysis is a more sophisticated analysis that allows drawing from multiple, simultaneous probability distributions and computing joint probability distributions and expected net present value for each. By executing thousands of ‘drawings’ from the probability distributions, the software can generate a distribution of expected net present value, along with the variance. Approach 2: Expected value analysis
  • 28. Monte Carlo Analysis Step 2: For each parameter, define a probability distribution. Step 1: Define all parameters for which a range of values are available and over which there is uncertainty. Step 3: Draw a value for each parameter according to the specified probability distribution. Step 4: Calculate NPV for the drawn parameters’ values. Step 5: Repeat the exercise 50,000 times or more. Approach 2: Expected value analysis
  • 29. Outcome of a Monte Carlo Simulation: Distribution of NPV Expected NPV Approach 2: Expected value analysis
  • 30. Running Monte Carlo Simulation: 2 softwares commonly used:  Palisade@RISK  Oracle Crystal Ball Note: The outcome of an expected value analysis is only as good as the inputs into it. Approach 2: Expected value analysis
  • 31. 4. Approach 2: Expected value analysis 3. Approach 1: Sensitivity analysis 2. Three approaches to account for risk 1. Overall approach Outline of presentation 5. Approach 3: Scenario analysis
  • 32. Accounting for uncertainty Key issue with climate change is not risk, but it is uncertainty. We do not know what will be the change in climate parameters in the future.  We know it will be warmer in 2050 than what it is today (assuming no other event). But is it going to be 0.6 C warmer, or 0.7, or 0.8, or 1.0, or 1.1? And we cannot attach probability on projections.  Projections of precipitation change is even more difficult. Some global circulation models (GCMs) project decrease in precipitation, some GCMs project increase in precipitation. And we cannot attach probability on projections.
  • 33.  Scenario analysis • Compute NPV of investment or policy under different scenarios. • Informed decision-makers to decide. Accounting for uncertainty
  • 34. Projected changes in precipitation Estimated change in agricultural productivity
  • 35. Projected changes in precipitation Projected changes in water availability Estimated change in agricultural productivity
  • 36. Projected changes in precipitation Projected changes in water availability Projected changes in agricultural productivity Estimated change in agricultural productivity
  • 37. Projected changes in precipitation Projected changes in water availability Projected changes in agricultural productivity Projected changes in NPV Estimated change in agricultural productivity
  • 38. The Role of Cost-Benefit Analysis Presentation by Dr. Benoit Laplante Bangkok, Thailand November 23 to 25, 2016 Session 8: CBA Step 7 Dealing with Uncertainty