Capital budgeting techniques: Sensitivity and Scenario analysis
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Graphically show and explain the following terms, how you could link them to capital budgeting techniques in your decision making (1000 words)
 Sensitivity analysis
 Scenario analysis
Sensitivity Analysis
Sensitivity analysis is a ‘what if’ tool that examines the effect of increase or decrease in a company’s net profit. Sensitivity analysis can help in answering question like ‘What would be the forecasted net income if sales are increased or decreased by 30%, 20% or 10%.
Sensitivity analysis is frequently used in capital budgeting for determining how sensitive an NPV analysis is to changes in variable assumptions. While conducting analysis, each variable is fixed except one and by changing this one variable, the effect on NPV or IRR can be viewed.
The first step in performing a sensitivity analysis is building a base case scenario. This is typically the NPV using assumptions which are believed to be accurate. From this point various assumptions can be changed which had initially been based on potential assumptions. NPV is then recalculated and the sensitivity of NPV based on the change in assumptions is determined.
Scenario Analysis
Scenario analysis is a process of analysing decisions by considering alternative possible outcomes. Scenario analysis is designed to see the consequences of an action under different set of factors.
Scenario analysis takes sensitivity analysis a step further. Rather than just looking at the sensitivity of the NPV analysis to changes in the variable assumptions, scenario analysis also looks at the probability distribution of the variables.
Like sensitivity analysis, scenario analysis starts with the construction of a base case scenario. From there other scenarios are considered known as the ‘best case’ and ‘worst case’ scenario. Probabilities are assigned to the scenarios and computed to arrive at an expected value.
Capital Budgeting and Use of Sensitivity and Scenario Analysis
Capital budgeting is the process of analysing a company’s investment decisions such as investing in new equipment, machineries, plants, projects and products. This process involves the estimation of the expected cash flows, the calculation of the Net Present Value (NPV) and the calculation of the Internal Rate of Return (IRR) of the investment. NPV is defined as the present value of all cash inflows minus the present value of all cash outflows. If NPV is positive, the investment is making money and is thus viable. IRR is defined as the discount rate that makes the NPV zero. If IRR is greater than the opportunity cost of capital then the investment is feasible.
There are two obstacles involved in the capital budgeting process. One involves the correct estimation of expected cash flow. The other is the use of correct discount rate also known as the project cost of capital.
Capital budgeting is by definition, forward looking. When dealing with expected resources and demands, uncertainty is a major factor. Sensitivity analysis is a statistical tool that determines how consequential deviations from the expected value occur.
Capital Budgeting example
XYZ Water Filtration Plant needs to construct a new water filtration plant to filter 20 million litre water and deliver to consumers. An assessment should be carried out to evaluate the economics of the project and determine which parameter is sensitive to investment value, also to establish a sales price. Market price of water is $4  $5 per litre therefore, four different water price scenarios would need to be analysed to reach the best economic parameter, they are: $4, $4.25, $4.5 and $4.75.
The selection criteria would be based on:
 NPV
 Cost of Capital  15%
 IRR
Analysis and Comparison of Alternatives
Preliminary data and estimation
Table 1: Project Information
Water filtration plant cost 
$32,750,000 
AUD 
Water price (assumption) 
$4.5 
AUD/Litre 
Water production 
20 
Million Litre 
Revenue 
$90,000 
per day 
$32,850,000 
per year 

Operating cost 
$1 
per litre 
$7,300,000 
per year 

Plant lifetime 
15 
year 
Cost of capital 
15% 
Table 2: Baseline Cash flow calculation
Baseline cash flow and NPV are calculated as follows:
Year 
Revenue 
Capital Investment 
Operational Cost 
Depreciation 
Equity to be split 
Government take 
Cash Flow 
NPV 
0 
(32,750,000) 
(32,750,000) 
6,334,796 

115 
34,675,000 
(7,300,000) 
(2,183,333) 
29,558,333 
(20,690,833) 
6,684,167 
Table 3: Sensitivity Analysis Calculation
In sensitivity analysis, each variable is changed one at a time to analyse its impact on the end result. In this case the impact of 10% increase or decrease in revenue, capital investment and operational cost is considered on the NPV.
Increase/ Decrease 
Year 
Revenue 
Capital Investment 
Operational Cost 
Cash Flow 
NPV @15% 

Revenue 
10% 
0 
 
(32,750,000) 
 
(32,750,000) 
8,895,944 
115 
36,135,000 
 
(7,300,000) 
7,122,167 

10% 
0 
 
(32,750,000) 
 
(32,750,000) 
(2,629,222) 

115 
29,565,000 
 
(7,300,000) 
5,151,167 

CAPEX 
10% 
0 
 
(36,025,000) 
 
(36,025,000) 
(1,035,312) 
115 
32,850,000 
(7,300,000) 
5,983,833 

10% 
0 
 
(29,475,000) 
 
(29,475,000) 
7,302,034 

115 
32,850,000 
 
(7,300,000) 
6,289,500 

OPEX 
10% 
0 
 
(32,750,000) 
 
(32,750,000) 
1,852,787 
115 
32,850,000 
 
(8,030,000) 
5,917,667 

10% 
0 
 
(32,750,000) 
 
(32,750,000) 
4,413,935 

115 
32,850,000 
 
(6,570,000) 
6,355,667 
From table 3, a sensitivity graph can be plotted as follows:
Based on above sensitivity analysis, it is evident that the revenue by terms of price is the main variable that is affecting NPV. Hence the economic optimization and evaluation will be based on parameter water price. Using formula in the spreadsheet, following can be obtained:
Table 4: Water Sales Price Scenario
Water Price 
NPV 
IRR 
Payout Time 
$4.00 
(3,269,509) 
12.90% 
6.5 
$4.25 
(68,074) 
14.96% 
5.9 
$4.50 
3,133,361 
16.95% 
5.3 
$4.75 
6,334,796 
18.89% 
4.9 
Selection of preferred alternative
From table 4, we can conclude that best scenario is at water price $4.74 per litre, refer to criteria NPV, IRR and Payout Time. Then the project is worth doing, with the water price $4.75 per litre resulting NPV>0, IRR>MARR and payout time less than five years.
Benefits of using Sensitivity Analysis
Sensitivity and scenario analysis in useful in capital budgeting techniques for a number of reasons, including:
 It supports decision making or the development of recommendations for decision makers such as testing the robustness of a result.
 Financial model makers can effectively communicate with the decision makers for example, by making recommendations more credible, understandable and compelling.
 Increases understanding of relationships between input and output variables.
 It helps the investor to maintain their risk comfort level. Once projections are made concerning a specific investment, it can be decided whether risk should be taken for the worst case scenario.
SOURCE
 Source: Boundless. “Scenario Analysis.” Boundless Finance. Boundless, 03 Jul. 2014. Retrieved 27 Apr. 2015 from https://www.boundless.com/finance/textbooks/boundlessfinancetextbook/theroleofriskincapitalbudgeting12/scenarioandsimulationassessments99/scenarioanalysis4277232/
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