NPV() function to calculate Present Value

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This post is written by Paramdeep.

Today, let us learn how to use NPV() function in Excel & create a simple financial model.

NPV – Introduction:

If you are dealing with cash and valuations, you are bound to have come across the NPV function. If you don’t know the assumptions behind the same, I bet it could cost you your job!

Let’s take a simple project – You buy a MSFT stock for USD 100. You receive a dividend of USD 10 in the first year, USD 20 in the second year, USD 40 in the third year and then you sell it out for USD 140. If you could have alternatively put this money in bank at 10% interest rate, have you gained anything?

How do you model this in excel? In this tutorial we understand how you can use NPV to do this analysis and what kind of pitfalls you can land into!!

What is the NPV() function

Simply speaking, NPV function calculates present value of your cash flows. Let’s take a simple example first –

You invest $100 in a bank, which pays 10% interest

  • What is its value 1 year down the line?
    • I am sure, you don’t need any coffee to get that value – 100 x 10% is the interest and 100 is the principal that you had. So the value 100 x (1+10%) = 110
  • What about 2 years?
    • Simple 100 x (1 + 10%)^2 = 121
  • So, if I were to ask you, the present value of a cash flow of 121, that you were to get 2 years down the line at 10% interest?
    • Again simple, you told me initially, it was $100

NPV does exactly that – gets you the present value of your cash flows

1

The function is simple, it does all the difficult calculations for you and gets you the solution!

Beware – The function has its own assumptions!

Though the function is quite convenient, but it has its own pitfalls. And in my modelling experience I have seen a lot of people making that mistake! Lets model the situation described in the beginning (The MSFT Case). The cash flows are given to you as:

2

 

Let us see, internally what we get by modelling the NPV from the first principles and using the NPV function

Simple Financial Model using NPV() in Excel

You can clearly see that there are two ways of using NPV function (and each has its own assumption!)

So what is happening internally?

Usually when we start a project, we assume that the investment is made upfront (On day 0). Then the revenues, costs and the cash would start flowing in. Since the investment is made on day 0, it should not be discounted.

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But when you use the NPV function, excel internally makes an assumption that even the first cash flow is at the end of the year (Per se, this is not wrong, but in normal circumstances, you make the payment upfront!).

So the right usage of the function would be to add the first cash without discounting and then use the NPV function to discount the rest of the cash flows.

If you just use the NPV function on all the cash flows, then the inherent assumption is that even the first cash flow is at the end of the year.

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Few other ways of calculating NPV

When you are dealing with cash flows and valuations (typically that is when you come across the functions like NPV, etc) even small mistakes cost dear. You want to make sure that you are as accurate as you can ever be. At that point of time, if the cash is not flowing at the year ends, you can use a more powerful function in excel – XNPV. You can show it the cash and the exact dates and it would calculate the exact NPV for you. People don’t often use it as they don’t know the exact dates of cash flow!

How do you calculate the discounted cash values in your models?

I know the easiest way would be to use the NPV function. It is easy to use but at the same time could be tricky. So how do you implement such functionality in your models?

Templates to download

I have created a template for you, where the subheadings are given and you have use the functions to get the right values for you! You can download the same from here. You can go through the case and fill in the yellow boxes. I also recommend that you try to create this structure on your own (so that you get a hang of what information is to be recorded).

Also you can download this filled template and check, if the information you recorded, matches mine or not!

For any queries regarding the cash impact or financial modeling, feel free to put the comments in the blog or write an email to paramdeep@edupristine.com

Join our Financial Modeling Classes

We are glad to inform that our new financial modeling & project finance modeling online class is ready for your consideration.

Please click here to learn more about the program & sign-up.

Learn more about Financial Modeling:

Go thru these articles to learn more about Excel Financial Modeling:

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The article is written by Paramdeep from Pristine.

Chandoo.org has partnered with Pristine to launch a Financial Modeling Course. For details click here.

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30 Responses to “Rescue oddly shaped data – Battle between Formulas, VBA and Power Query”

  1. MF says:

    Nice use of Power Query! Power Query is simply awesome! But somehow a lot of people are punishing themselves by not using it (not learning it).

    An imperfect 4th approach for consideration... no codes at all...
    Select myrange.
    Go to Special --> Blank
    Delete Cell --> Shift cell left
    90% done... now we just need to move the data of 2nd column to the bottom of 1st column
    Of course... Power Query is the best.
    Cheers,

  2. There is another way but it involves multiple steps:
    Copy the values in column E, move the cursor to F5, Paste Special with Skip Blanks, OK
    Copy the values in column D, move the cursor to F8, Paste Special with Skip Blanks, OK
    And so on.
    This works perfectly, albeit a little clumsily apart from the values in B17 and C16, which can be moved with simple copy and paste

  3. Robson says:

    Power Query Forever! I do not know how I survived for so long without knowing and using this tool, I can not recommend it to my colleagues, but by the way they prefer to suffer to learn.

    My congratulations here from Brazil.

  4. Haz says:

    I rolled my eyes when I saw that data

    Using decimal places is a nice trick to order data, thanks for that

    And tweaking the first formula a bit, you can use OFFSET instead of INDIRECT

    =OFFSET($A$1, MIN(IF(myrange, ROW(myrange)), ROWS(A$1:A1))-1, RIGHT(TEXT(MIN(IF(myrange, ROW(myrange) + COLUMN(myrange)*0.00001), ROWS(A$1:A1)), ".00000"), 5)-1)

    • Michael Connor says:

      Tried the above formula with the downloaded oddly shaped data file and I could not get it to work. I get #value without ctrl+shift+enter, and #ref with ctrl+shift+enter.

      • Haz says:

        Sorry, it was SMALL, not MIN.
        Add with CTRL+SHIFT+ENTER.

        • Michael Connor says:

          Thank you for your formula. Like the indirect formula I tested this one in older versions of EXCEL and it worked without ALTERATION in EXCEL 95. Very impressive.

  5. Bertie Hechter says:

    Too complicated

    Use =Sum to summarize all the sells to the left and Bobs Your Uncle

  6. Michael Connor says:

    I tested this formula in versions of Excel all the way back to Excel 95

    =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(MyRange"",ROW(MyRange)+COLUMN(MyRange)*0.00001),ROWS(A$1:A9)),"00000.00000"),".","C"),FALSE)))

    So there are multiple ways of cleaning up messy data by formulas.

    • Chandoo says:

      Wow.. Excel 95. Who knew people still use that. But as you have shown, Excel has all these beautiful and powerful functions for 23 years. It has data sciency stuff before DS was even a thing.

      • Michael Connor says:

        I had a problem with pasting the formula in the original post.
        Formula should be: =IF(ISERROR(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)),"",(INDIRECT("R"&SUBSTITUTE(TEXT(SMALL(IF(myrange"",ROW(myrange)+COLUMN(myrange)*0.00001),ROWS(A$1:A1)),"00000.00000"),".","C"),FALSE)))

        EXCEL even in a 16 bit version, is a very robust and capable program.

  7. Michael Connor says:

    I don't like the VBA code. If you have a blank row in MyRange, the last entry in the range is doubled up in the paste.here range.

    • Chandoo says:

      Not really. The macro is writing one cell at a time from paste.here. You have to clean the range before, which I was too lazy to write. But a line like Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents should do the trick.

      • Michael Connor says:

        Adding Range(range("paste.here"), range("paste.here").end(xldown)).clearcontents fixed the problem.

  8. A Rakesh Patro says:

    for step split column by delimiter i am not getting option of split into rows or columns. Can you help me in this

  9. Marc says:

    Thanks Chandoo for promoting Power Query.

    To simplify further, you can "Unpivot Columns" instead of right click on the newly created column and split it by comma in to rows in step 3 of Power Query.

  10. johan says:

    i used

    =LOOKUP(10000,B5:F5)

    and got the answers. I just plagiarized this formula somewhere and use it, maybe you can explain why it works.
    Regards

    • Chandoo says:

      @Johan... I am not sure if the formula works correctly. When I tested it with the sample data in this post, it showed #N/As in two cells. Essentially, it will only give first value in each row. So if a row has multiple values, then subsequent values are missed. LOOKUP() function goes thru a list and finds the first value that is less than or equal to the input - in this case 10000 in B5:F5.

  11. Ben says:

    I have the need to convert pdf's to excel on occasion and they often come out a mess like this. I have used:

    Cell G2 =COUNT(myrange)
    Cell G3 =IFERROR(IF(G2-1<1,"",G2-1),"") copied down to G100
    Cell H2 =IFERROR(LARGE(myrange,G2),"") copied down to H100

  12. Patrick says:

    Waouw...

    =IFERROR(INDIRECT("R" & SUBSTITUTE(TEXT(SMALL(IF(myrange "", ROW(myrange) + COLUMN(myrange)*0.00001),
    ROWS(A$1:A1)), "00000.00000"), ".", "C"), FALSE), "")

    but CTRL Shift Enter with {} before and after 🙂 😀

  13. Peter B says:

    Another possibility.
    This assumes that you have a row index 'k' to use in the SMALL function and a column index 'h' to identify the columns of 'myRange'.
    If you define 'coord' to refer to
    =k+h/10 [assuming h<10]
    then it will be possible to recover values later based upon location within 'myRange'. The formula 'nb' that identifies non-blanks by coordinates is given by
    = SMALL( IF(myRange"", coord), k )
    Finally, to unpick the pieces
    = INDEX( myRange, INT(nb), 10*MOD(nb, 1) )

  14. Peter B says:

    Whilst I am here and making trouble the PQ solution is also a tad over-complicated. All that is needed is to unpivot the entire table and remove the Attribute column.

    The advanced editor would show
    let
    Source = Excel.CurrentWorkbook(){[Name="myRange"]}[Content],
    #"Unpivoted Columns" = Table.UnpivotOtherColumns(Source, {}, "Attribute", "Value"),
    #"Removed Columns" = Table.RemoveColumns(#"Unpivoted Columns",{"Attribute"})
    in
    #"Removed Columns"

  15. vivian.liu says:

    1.fill the blank cells with 0
    2.the requested column value=sum of those mess number column
    but this can be used in only one column has value

  16. Juan Carlos Barreto says:

    Chandoo

    And if we use the formula SEARCH (100000000, B5: F5)

    JC

  17. Daniel Dion says:

    Another approach with Power Query, it will still work if the number of columns changed:
    let
    Source = Excel.CurrentWorkbook(){[Name="myrange"]}[Content],
    #"Added Custom" = Table.AddColumn(Source, "List", each Record.ToList(_)),
    #"Removed Other Columns" = Table.SelectColumns(#"Added Custom",{"List"}),
    #"Expanded LIst" = Table.ExpandListColumn(#"Removed Other Columns", "List"),
    #"Filtered Rows" = Table.SelectRows(#"Expanded LIst", each ([List] null))
    in
    #"Filtered Rows"

  18. Bob says:

    Nowadays, you can just use TOCOL on Excel 2024, MS 365, and Web Excel. It has a parameter to ignore blanks/errors/both.

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