Sensitivity Analysis in Excel | One & Two Variable Data Table

Sensitivity analysis in excel helps us study the uncertainty in the output of the model with the changes in the input variables. It primarily does stress testing of our modeled assumptions and leads to value-added insights.

In the context of DCF valuation, Sensitivity Analysis in excel is especially useful in finance for modeling share price or valuation sensitivity to assumptions like growth rates or cost of capital.

In this article, we look at the following Sensitivity Analysis in Excel for DCF Modeling professionally.

Most Important – Download Sensitivity Analysis in Excel Template

Learn one variable and two variable DATA TABLE Types in excel

Sensitivity Analysis in Excel

#1 – One-Variable Data Table Sensitivity Analysis in Excel

Let us take the Finance example (Dividend discount model) below to understand this one in detail.

Constant growth DDM gives us the Fair value of a stock as a present value of an infinite stream of dividends growing at a constant rate.

Gordon Growth formulaGordon Growth FormulaGordon Growth Model derives a company's intrinsic value if an investor keeps on receiving dividends with constant growth forever. The formula for Gordon growth model: P = D1/r-g (P = stock price, g = constant growth rate, r = rate of return, D1 = value of next year's dividend) read more is as per below –

DDM Formula - Constant Growth Rate

Where:

  • D1 = Value of dividend to be received next year
  • D0 = Value of dividend received this year
  • g   = Growth rate of dividend
  • Ke = Discount rate
DDM

Now, let’s assume that we want to understand how sensitive the stock price is with respect to the Expected Return (ke). There are two ways of doing this –

  • Donkey way :-)
  • What if Analysis

#1 – Donkey Way

Sensitivity Analysis in Excel using Donkey’s way is very straightforward, but hard to implement when a lot of variables are involved.

DDM - Senstivity Analysis in Excel

Do you want to continue making this given 1000 assumptions? Obviously Not!

Learn the following sensitivity analysis in excel technique to save yourselves from the trouble.

#2 – Using One Variable Data Table

The best way to do sensitivity analysis in excel is to use Data Tables. Data tables provide a shortcut for calculating multiple versions in one operation and a way to view and compare the results of all of the different variations together on your worksheet. Below are the steps that you can follow to implement a one-dimensional sensitivity analysis in excel.

Step 1 – Create the table in a standard format.

In the first column, you have the input assumptions. In our example, inputs are the expected rate of return (ke). Also, please note that there is a blank row (colored in blue in this exercise) below the table heading. This blank row serves an important purpose for this one-dimensional data table, which you will see in Step 2.

DDM - Senstivity Analysis in Excel - Part 1

The space provided by the blank row is now used to provide input (expected return Ke) and the output formula. Why is it done like this?

We are going to use “What if Analysis” this is a way to instruct excel that for the Input (ke), the corresponding formula provided on the right-hand side should be used to re-calculate all the other inputs.
DDM - Senstivity Analysis in Excel - Part 2

Step 3 – Select the What-if Analysis tool to perform Sensitivity Analysis in Excel.

It is important to note that this is sub-divided into two steps.

  • Select the table range starting from the left-hand side, starting from 10% until the lower right-hand corner of the table.
  • Click Data -> What if Analysis -> Data Tables
Senstivity Analysis in Excel - Data Table
Step 4 – Data Table Dialog Box Opens Up.

The dialog box seeks two inputs – Row Input and Column Input. Since there is only one input Ke under consideration, we will provide a single column input.

Data Table Dialog Box

In our case, all input is provided in a column, and hence, we will link to the column input. Column input is linked to the Expected return (Ke). Please note that the input should be linked from the original source and Not from the one that is inside the tableDDM - Senstivity Analysis in Excel - Part 3

Step 6 – Enjoy the Output
DDM - Senstivity Analysis in Excel - Part 4

#2 – Two-Variable Data Table Sensitivity Analysis in Excel


Data tables are very useful for Sensitivity analysis in excel, especially in the case of DCF. Once a base case is established,  DCF analysis should always be tested under various sensitivity scenarios. Testing involves examining the incremental effect of various changes in assumptions (cost of capital, terminal growth rates, lower revenue growth, higher capital requirements, etc.) on the fair value of the stock.

Let us take the sensitivity analysis in excel with a finance example of Alibaba Discounted Cash Flow Analysis.

With the base assumptions of the Cost of Capital as 9% and constant growth rate at 3%, we arrived at the fair valuation of $191.45 billion.

Alibaba Valuation Summary

Let us now assume that you do not fully agree with the Cost of Capital Assumptions or the growth rate assumptions that I have taken in Alibaba IPO Valuation. You may want to change the assumptions and access the impact on valuations.

One way is to change the assumptions manually and check the results of each change. (codeword – Donkey method!)

Alibaba Valuation Summary - manual sensitivity analysis

However, we are here to discuss a much better and efficient way to calculate valuation using sensitivity analysis in excel that not only saves time but also provides us with a way to visualize all the output details in an effective format.

If we perform the What-if analysis in excelWhat-if Analysis In ExcelWhat-If Analysis in Excel is a tool for creating various models, scenarios, and data tables. It enables one to examine how a change in values influences the outcomes in the sheet. The three components of What-If analysis are Scenario Manager, Goal Seek in Excel, and Data Table in Excel.read more in a professional way on the above data, then we get the following output.

Two Dimensional Data Table - Sensitivity Analysis
  • Here, row inputs consist of changes in Cost of capital or WACC (7% to 11%)
  • Column inputs consist of changes in growth rates (1% to 6%)
  • The point of intersection is Alibaba Valuation. For, e.g., using our base case of 9% WACC and 3% growth rates, we get the valuation as $191.45 billion.

With this background, let us now look at how we can prepare such a sensitivity analysis in excel using two-dimensional data tables.

Step 1 – Create the Table Structure as given below
  • Since we have two sets of assumptions – Cost of Capital (WACC) and Growth Rates (g), you need to prepare a table given below.
  • You are free to switch the row and column inputs. Instead of WACC, you may have growth rates and vice-versa.
Sensitivity Analysis Table

The point of intersection of the two inputs should be used to link the desired output. In this case, we want to see the effect of these two variables (WACC and growth rate) on Equity value. Hence, we have linked the intersecting cell to the output.Sensitivity Analysis - What if excel

Step 3 – Open Two Dimensional Data Table
  • Select the table that you have created
  • Then click on Data -> What if Analysis -> Data Tables
Two Dimensional Data Table - Sensitivity Analysis in excel
Step 4 – Provide the row inputs and column inputs.
  • Row input is the Cost of Capital or Ke.
  • The column input is the growth rate.
  • Please remember to link these inputs from the original assumption source and not from anywhere inside the table.
Two Dimensional Data Table - Row and column inputs
Step 5 – Enjoy the output.
  • Most pessimistic output values lie on the right-hand top corner where the Cost of Capital is 11%, and the growth rate is only 1%
  • The most optimistic Alibaba IPO Value is when Ke is 7%, and g is 6%
  • The base case we calculated for 9% ke and 3% growth rates lies in the middle.
  • This two-dimensional sensitivity analysis in the excel table provides the clients with easy scenario analysis that saves a lot of time.
Senstivity Analysis excel output

#3 – Goal Seek for Sensitivity Analysis in Excel

  • The Goal Seek command is used to bring one formula to a specific value
  • It does this by changing one of the cells that is referenced by the formula
  • Goal Seek asks for a cell reference that contains a formula (the Set cell). It also asks for a value, which is the figure you want the cell to be equal
  • Finally, Goal Seek asks for a cell to alter in order to take the Set cell to the required value

Let us have a look at the DCF of Alibaba IPO Valuation.

Goal Seek Senstivity Excel

As we know from DCF that growth rates and valuation are directly related. Increasing growth rates increases the share price of the stock.

Let’s assume that we want to check at what growth rate will the stock price touch $80?

As always, we can do this manually by changing the growth rates to continue to see the impact on the share price. This will again be a tedious process. We may have to input growth rates many times to ensure that the stock price matches $80 in our case.

However, we can use a function like Goal Seek in excel to solve this in easy steps.

Step 1 – Click on the cell whose value you wish to set. (The Set cell must contain a formula)
Goal Seek - Step 1
Step 2 – Choose Tools, Goal Seek from the menu, and the following dialog box appears:
  • The Goal Seek command automatically suggests the active cell as the Set cell.
  • This can be over-typed with a new cell reference, or you may click on the appropriate cell on the spreadsheet.
  • Now enter the desired value this formula should reach.
  • Click inside the “To Value” box and type in the value you want your selected formula to equal.
  • Finally, click inside the “By Changing Cell” box and either type or click on the cell whose value can be changed to achieve the desired result.
  • Click the OK button, and the spreadsheet will alter the cell to a value sufficient for the formula to reach your goal.
Goal Seek - Sensitivity in Excel - Step 2
Step 3 – Enjoy the output.

Goal Seek also informs you that the goal was achieved.

Goal Seek - Sensitivity in Excel - Step 3

Conclusion

Sensitivity analysis in excel increases your understanding of the financial and operating behavior of the business. As we learned from the three approaches – One Dimensional Data Tables, Two Dimensional Data Tables, and Goal Seek that sensitivity analysis is extremely useful in the finance field, especially in the context of valuations – DCF or DDM.

However, you can also get a macro-level understanding of the company and industry in general. You can develop cases to reflect valuation sensitivity to changes in interest rates, recession, inflation, GDP, etc. on the valuation. Thought and common sense should be employed in developing reasonable and useful sensitivity cases.

What Next?

If you learned something about Sensitivity Analysis in Excel, please leave a comment below. Let me know what you think. Many thanks, and take care. Happy Learning!

You may also have a look at these articles below to learn more about Valuations and Corporate Finance –

Reader Interactions

Comments

  1. AvatarStephen says

    Hi Dheeraj, thanks for being resourceful. You’re a star.

  2. AvatarGordon says

    Hi Dheeraj, I find this blog most informative and helpful. Thank you for your time! Do you ever think about starting a youtube channel :)

    • Dheeraj VaidyaDheeraj Vaidya says

      thanks Gordon for the encouragement! youtube channel is a nice idea. Hopefully, I should be able to do something here in the near future.

  3. AvatarAli says

    hi Dheeraj, this blog of yours is very informative, could you please share any excel sheet for financial projections of startup business.

    • AvatarDheeraj Vaidya says

      Hi Ali,

      Unfortunately, I don’t have one.

      Thanks,
      Dheeraj

  4. AvatarJai Sharma says

    Hi Dheeraj,

    I’m interested to learn How do you do valuation of any stock of a company starting from it’s basics like what are the different methods? most adopted method , how to use, etc.
    Please provide me that. Will be thankful to you.

    Best Regards

    • AvatarDheeraj Vaidya says

      hey Jai, there are various valuation tools like Dividend Discount Model, DCF & FCFF, Relative Valuation (PE, PBV, Price to Cash Flows etc) among others. You can have a look at these in detail.

      Best,
      Dheeraj

  5. AvatarDivya Mishra says

    Thank you so much! This is really helpful.
    Could you please also provide an example of the Usage of Macros and Pivot Table in financial analysis?

    • AvatarDheeraj Vaidya says

      Hello Divya,

      Thakns for the suggestion. Will keep this in mind for a future blog post on usage of macros/pivot tables.

      Best,
      Dheeraj

  6. AvatarAjinkya Jadhav says

    Hey Dheeraj,

    Thanks a lot for the share. Having spent 2 years in the industry, one does not use all the M&A concepts on a daily basis, and it’s not always time-saving to visit one of the reference books when you have some concepts to be revised. Given this backdrop, your succinct and crisp explanation helps a great deal

    • AvatarDheeraj Vaidya says

      Thanks Ajinkya. I am glad you find this useful :-)
      Best,
      Dheeraj

  7. AvatarManjeet says

    Great Sir, learned a lot and one thing more I want to ask whether after ca can I get admission in CFA based on 4 years experience and have no graduation degree apart from IGNOU which will be over in may next yeqt

    • AvatarDheeraj Vaidya says

      Hi Manjeet,

      minimum pre-requisite for appearing in CFA exam is graduation. Best way would be to seek guidance from CFA insitute from their contact us page.

      thanks,
      Dheeraj

  8. Avatarmegha says

    very nice ..

    • AvatarDheeraj Vaidya says

      thanks Megha!

  9. AvatarDaniella says

    Hi Dheeraj! These excel tutorials are the most helpful! I’m going through the CFA curriculum right now and it is so nice to see the excel gap bridged here in your blog!

    • AvatarDheeraj Vaidya says

      thanks Daniella!