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Sensitivity Analysis: Modeling Risk and Uncertainty

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Modeling Risk

SENSITIVITY ANALYSIS and


uncertainty
SENSITIVITY
SENSITIVITY
SENSITIVITY ANALYSIS

Sensitivity analysis is one method of


analysing the risk surrounding a capital
expenditure project and enables an
assessment to be made of how responsive the
project's NPV is to changes in the variables
that are used to calculate that NPV
NPV DEPENDENT VARIABLES

Selling Price

NPV Variable
Sales Volume

Cost of capital

Initial Cost

Operating Cost

Cash Flow
SENSITIVITY ANALYSIS

 The basic approach of sensitivity analysis is to calculate the


project's NPV under alternative assumptions to determine
how sensitive it is to changing conditions.
 An indication is thus provided of those variables to which the
NPV is most sensitive (critical variables) and the extent to
which those variables may change before the investment
results in a negative NPV
 Sensitivity analysis therefore provides an indication of why a
project might fail.
 Management should review critical variables to assess
whether or not there is a strong possibility of events occurring
which will lead to a negative NPV.
SENSITIVITY ANALYSIS

  Management should also pay particular attention to


controlling those variables to which the NPV is particularly
sensitive, once the decision has been taken to accept the
investment.
 A simple approach to deciding which variables the NPV is
particularly sensitive to is to calculate the sensitivity of each
variable:
 %
 The lower the percentage, the more sensitive is NPV to that
project variable as the variable would need to change by a
smaller amount to make the project non-viable.
EXAMPLE: SENSITIVITY ANALYSIS

 Kenney Co is considering a project with the following cash


flows.
 cash flows arise from selling 650,000 units at $10 per unit.
Kenney Co has a cost of capital of 8%.
EXAMPLE: SENSITIVITY ANALYSIS
EXAMPLE: SENSITIVITY ANALYSIS

  The project has a positive NPV and would appear to be


worthwhile. The sensitivity of each project variable is as
follows.
 A) Initial Investment = × 100 = 14.6%
 B) Sales Volume = × 100 = 12.8%
 c) selling Price = × 100 = 8.8%
 d) Variable cost = × 100 = 28.7%
 The elements to which the NPV appears to be most sensitive
are the selling price followed by the sales volume.
Management should thus pay particular attention to these
factors so that they can be carefully monitored.

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