1
Chapter 8: Sensitivity and
Breakeven Analysis
Analyzing project risks by
making mechanical trial and
error changes to forecast
values of selected variables.
2
Introduction
•
Analyzing the risks of investment projects, by
changing the values of forecasted variables.
•
Finding the values of particular variables
which give the project a Breakeven NPV of
zero.
3
Process of Analysis
•
Identification of those variables which will
have significant impacts on the NPV, if their
future values vary around the forecast values.
•
The variables having significant impacts on the
NPV are known as ‘sensitive variables’.
•
The variables are ranked in the order of their
monetary impact on the NPV.
•
The most sensitive variables are further
investigated by management.
4
Management Use of Sensitivity and
Breakeven Analysis
Sensitive variables are investigated and
managed in two ways:
•
(1) Ex ante; in the planning phase; more
effort is used to create better forecasts of
future values. If management decides the
project is too risky, it is abandoned at this
stage.
Using Sensitivity:
5
Management Use of Sensitivity and
Breakeven Analysis
•
(2) Ex post; in the project execution phase;
management monitors the forecasted values. If
the project is performing poorly, it is
abandoned or sold off prior to its planned
termination.
Using Sensitivity:
Sensitive variables are investigated and
managed in two ways:
6
Management Use of Sensitivity
and Breakeven Analysis
Using Breakeven:
•
Forecasted calculated Breakeven values of
variables are continuously compared against
actual outcomes during the execution phase.
7
Terminology Within the Analysis
•
Sensitivity and Breakeven analyses are also known as:
‘scenario analysis’, and ‘what-if analysis’.
•
Point values of forecasts are known as: ‘optimistic’,
‘most likely’, and ‘pessimistic’.
•
Respective calculated NPVs are known as: ‘best case’,
‘base case’ and ‘worst case’.
•
Variables giving a ‘breakeven’ value, return an NPV of
zero for the project.
8
Selection Criteria For Variables
in the Analysis
•
Degree of management control.
•
Management's confidence in the forecasts.
•
Amount of management experience in assessing
projects.
•
Extrinsic variables more problematic than
intrinsic variables.
•
Time and cost of analysis.
9
Real Life Examples
of Forecast Errors
•
Large blowouts in initial construction
costs for Sydney Opera House,
Montreal Olympic Stadium.
•
Big budget films are shunned by critics
and public alike; e.g ‘Waterworld’:
whilst cheap films become classics;
eg.‘Easy Rider’.
•
High failure rate of rockets used to
launch commercial satellites.
10
Developing Optimistic and
Pessimistic Forecasts
•
(a) Use forecasting –error information from the
forecasting methods: eg - upper and lower
bounds; prediction interval; expert opinion;
physical constraints, are applied to the
variables.
This method is formalized, but arguable, slow
and expensive.
11
Developing Optimistic and
Pessimistic Forecasts
•
(b) Use ad hoc percentage changes: a fixed
percentage, such as 20%,or 30%, is added to
and subtracted from the most likely forecast
value.
This method is vague and informal, but
fast, popular, and cheap.
?
+20%
-20%
12
Outputs and Uses
•
Each forecast value is entered into the
model,and one solution is given.
•
Solutions can be summarized automatically, or
individually by hand.
•
Variables are ranked in order of the monetary
range of calculated NPVs.
•
Management investigates the sensitive
variables.
•
More forecasting is done, or the project is
accepted or rejected as is.
13
Strengths and Weaknesses of
Analysis
•
Easy to understand.
•
Forces planning discipline.
•
Helps to highlight risky variables.
•
Relatively cheap.
•
•
Relatively unsophisticated.
•
May not capture all information.
•
Limited to one variable at a time.
•
Ignores interdependencies.