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What is sensitivity analysis?
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How to perform sensitivity analysis on a DCF model?
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What factors to consider when interpreting sensitivity analysis results?
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Here’s what else to consider
A discounted cash flow (DCF) analysis is a common valuation method in investment banking that estimates the present value of a company or a project based on its expected future cash flows. However, a DCF analysis relies on many assumptions and inputs that can have a significant impact on the final result. Therefore, it is important to evaluate the sensitivity of a DCF analysis to understand how changes in these assumptions and inputs affect the valuation. In this article, you will learn how to perform a sensitivity analysis on a DCF model and what factors to consider when interpreting the results.
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- Fabian Moa, CFA, FRM, CTP, FMVA, AFM, FSA Credential Finance | Risk | Sustainability
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1 What is sensitivity analysis?
Sensitivity analysis is a technique that measures how the output of a model or a system varies when one or more inputs are changed. In a DCF analysis, the output is the present value or the net present value (NPV) of the cash flows, and the inputs are the assumptions and parameters that affect the cash flow projections and the discount rate. Sensitivity analysis can help you assess the robustness, reliability, and riskiness of a DCF valuation by showing how different scenarios or cases affect the output.
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Sensitivity analysis is a technique used to determine how different values of an independent variable will impact a particular dependent variable under a given set of assumptions. This process is often used to predict the outcome of a decision if a situation turns out to be different compared to the key predictions. In financial modeling, sensitivity analysis can help in assessing risk, understanding which variables are most influential, and how changes in those variables affect the output or financial performance. It is a useful tool for financial planning, investment evaluation, and for making more informed decisions under uncertainty by considering different scenarios and their potential impacts on results.
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- Fabian Moa, CFA, FRM, CTP, FMVA, AFM, FSA Credential Finance | Risk | Sustainability
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Sensitivity analysis is more than a technical exercise; it's a critical tool for financial storytelling. It helps to frame the narrative of how different economic conditions or business decisions could play out, affecting the valuation. This approach doesn't just test a DCF model's reliability; it brings the numbers to life, helping investors and decision-makers visualize the potential impacts of their strategies in the face of uncertainty. It’s about providing clarity and confidence in the valuation by revealing how sensitive the outcome is to changes, which is essential in a world where financial landscapes are constantly shifting.
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- Dr. Gulnar Mulla Sr. Fellow HEA UK Banking Finance Technology Innovation
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Sensitivity analysis will help to make informed choices. We can test the robustness of a model by using this analysis in times of uncertainty. Decision-makers use the model to understand how responsive the output is to changes in certain variables.
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DCF analysis is largely impacted by assumptions. Sometimes a % change in one of the assumptions results in variation of valuation by a huge %.This is exactly what sensitivity analysis solves. It helps the reader understand critical assumptions and their impact. Usually done in excel to show 2 critical assumptions using data table feature under what if analysis.
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2 How to perform sensitivity analysis on a DCF model?
To perform sensitivity analysis on a DCF model, you need to identify the key inputs that have the most influence on the output and test how they change under different assumptions. For example, you can vary the growth rate, terminal value, cost of capital, tax rate, or operating margin and see how they affect the NPV. Various methods can be used to conduct sensitivity analysis, such as one-way sensitivity analysis which changes one input at a time and holds the others constant. This allows you to display the results of one-way sensitivity analysis in a table or chart. Two-way sensitivity analysis changes two inputs at a time and holds the others constant, with results shown in a matrix or spider diagram. Scenario analysis is another method where multiple inputs are changed based on predefined scenarios or cases - results can be displayed in a table or chart.
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My favorite approach is to run a sensitivity analysis based on i) revenue growth and ii) EBITDA margin in the next 5 years. Depending on the percentages, it is generally good to use 5%-brackets in both directions (i.e. plus & minus). For example, the EBITDA margin could be assumed 2.5-5% more and less to see the impact on the DCF.
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- Fabian Moa, CFA, FRM, CTP, FMVA, AFM, FSA Credential Finance | Risk | Sustainability
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See AlsoEnterprise and Equity ValuesIn enhancing a DCF sensitivity analysis, focus on the rationale behind selecting key variables. Prioritize inputs tied to high uncertainty or significant impact on valuation. Employ a tiered approach, starting with one-way sensitivity to isolate individual input effects, followed by multi-way to explore interdependencies. Present findings with clear visuals and concise interpretations, articulating the implications for strategic decision-making. This approach underscores the interplay between input volatility and valuation, providing stakeholders with a clearer picture of risk parameters.
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Two-way sensitive analysis is usually done to determine the terminal value. Terminal value is a critical number in DCF valuation and hence it helps to show sensitivity analysis for the growth rate and discount rate to compute terminal value.It is done with a variation of 0.5-1% +/- to the actual growth rate and discount rate %.
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- Anik Mistry
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The WACC will be an important consideration in the DCF model, there are several factors that can influence the cost of capital (both micro and macro factors at play). The terminal growth rate will unlock the majority of value in the long-term for an equity. Varying costs of capital and terminal growth rates are great starting inputs to drive scenarios for the DCF.
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3 What factors to consider when interpreting sensitivity analysis results?
When interpreting sensitivity analysis results, you should consider the range and distribution of the output values, as well as the direction and magnitude of the output changes and the relative importance and correlation of the inputs. A large range and a skewed distribution suggest that the output is highly sensitive and uncertain, while a small range and a symmetrical distribution suggest that the output is less sensitive and more reliable. Additionally, a positive direction and a large magnitude imply that the output increases significantly when the input increases, while a negative direction and a small magnitude imply that the output decreases slightly when the input decreases. Furthermore, a high importance and a high correlation mean that the output is strongly influenced by the input, while a low importance and a low correlation mean that the output is weakly influenced by the input.
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- Fabian Moa, CFA, FRM, CTP, FMVA, AFM, FSA Credential Finance | Risk | Sustainability
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When delving into the results of sensitivity analysis, it's vital to contextualize the data beyond mere numbers. Interpretation should include an understanding of the economic and operational realities that drive the inputs. For instance, a large range in output could indicate strategic levers the company can pull, while a skewed distribution might point to areas needing risk mitigation. Directional changes should prompt discussion on how market conditions and business decisions impact these inputs, turning data into actionable intelligence. This makes the sensitivity analysis not just a technical report, but a strategic tool that aligns financial metrics with business insight.
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4 Here’s what else to consider
This is a space to share examples, stories, or insights that don’t fit into any of the previous sections. What else would you like to add?
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- Fabian Moa, CFA, FRM, CTP, FMVA, AFM, FSA Credential Finance | Risk | Sustainability
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In a DCF sensitivity analysis, it's essential to reflect real-world business dynamics. Adjust the time horizon to balance immediate actions with future plans. Monitor how changes in debt and equity affect your cost of capital. Scrutinize working capital assumptions for their outsized influence on cash flow. Ensure the terminal growth rate is pragmatic, mirroring broader economic trends. Factor in tax and regulatory shifts, and don't overlook the impact of operational efficiency on value.
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