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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20 Responses to “Untrimmable Spaces – Excel Formula”

  1. MF says:

    Hi Chandoo,
    First of all, HAPPY NEW YEAR!!! Wish you and your family another fruitful year ahead.

    To answer your question: Power Query is the best way to trim. 🙂

    Btw, if Power Query is not available, then formula would absolutely do... but did you forget to mention also Char 32?

    One more question: Is the trailing minus meant to be a negative number? Maybe only the sender knows... 🙂

    Cheers,

  2. Duncan Williamson says:

    I know these spaces can be a real pain but these days I advise Excel users to learn and use Flash Fill and that will learn what to do pretty quickly.

  3. David Hager says:

    Highlight range to be cleaned. Then, in Replace, hold down the Alt key and type 0160. Replace with nothing.

  4. Steve Jones says:

    I accomplished this by writing a macro to go through all the possible unprintable characters. Looped through the range.

  5. Ramnath D says:

    I use a different method here. First, I will copy the data from Excel and paste it in a notepad. In Notepad, I will do a Find Blanks (Space " ") and Replace (Empty) with nothing.

    Then you can copy the data from Notepad and paste it back to Excel which will be a perfect number as you desire.

    But Thanks for the formula. Its probably the 2nd out of 8 tricks as Chandoo mentioned. Waiting for the rest among 8 from other users 🙂

  6. Andrew says:

    I don't understand the x's. Why weren't they removed in the formula? Or are they part of some sort of numeric formatting that I'm not familiar with? I saw how you handled the non-breaking spaces and the dashes, but am confused about what role the x's played in all this.

    Thanks!

    • NARAYAN says:

      Hi Andrew ,

      The xs have been used solely to demarcate the actual data text ; thus , without the x in place at the end of text , as in :

      x 4,124,500.00 x

      it would be impossible to know that there are unwanted trailing characters , in this case , after the last 0.

      These xs are not part of the original data text , nor are they used in the formulae ; they are put in only so that readers can visualize the individual items of data as they are in practice. Think of them as imaginary delimiters.

      • Andrew Patceg says:

        Oh, that makes sense! Thank you for the explanation. I had a feeling it was something along those lines.

  7. Mucio says:

    You can type this character using the Keys Alt+0160.
    Very useful to replace this Character using Find and Select resource.

  8. Neva says:

    For many years, my jobs have included ETL tasks and I built this macro to help long, long ago. I tweak it every now and again. Many co-workers, past and present, have it wired to a button on their toolbar.

    Sub Clean_and_Trim()
    'CAUTION: Strips leading zeroes -- do not use on zipcodes, etc.

    If Application.Calculation = xlCalculationAutomatic Then
    Application.Calculation = xlCalculationManual
    Revert = 1
    ElseIf Application.Calculation = xlCalculationManual Then
    Revert = 0
    End If

    For Each Cell In Selection
    For x = Len(Cell.Value) To 1 Step -1
    If Asc(Mid(Cell.Value, x, 1)) = 160 Then
    Cell.Replace What:=Chr(160), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
    End If
    If Asc(Mid(Cell.Value, x, 1)) = 32 Then
    Cell.Replace What:=Chr(32), Replacement:=" ", LookAt:=xlPart, MatchCase:=True
    End If
    Next x
    If Cell.Value "" Then
    Cell.Value = Application.Clean(Application.Trim(Cell.Value))
    End If
    Next

    If Revert = 1 Then
    Application.Calculation = xlCalculationAutomatic
    ElseIf Revert = 0 Then
    Application.Calculation = xlCalculationManual
    End If

    End Sub

  9. Brigitte Calahate says:

    This is awesome! What if you have several characters you need to have removed? What would be the easiest way as I can imagine there are several ways.?

    # - 35
    $ - 36
    - 62
    / - 47
    , - 44
    . - 46
    " - 34
    : - 58

  10. Roby says:

    This is typical case of a Fitbit data export to Csv file. Each number has CHAR160 as thousand separator.. how smart Fitbit, thank you 😉

    By the way, i prefer to copy the character, and use find and replace.

  11. Suhas Shetty says:

    Sometimes it happens if you copy a table from outlook and paste it in excel. When you apply formula on those cells you will get error. What i use to do is
    copy one character that looks like space,
    select the entire range,
    go to Find and replace,
    Paste the copied character in Find option
    Leave the replace option unfilled..
    click on replace all..

    All the errors shall be converted in to proper values..

    Process looks lengthier.. but it is one of the simplest method

  12. Gerry says:

    If Clean, Trim, and Substitute, or Find and Replace does not complete the job, I usually enter a value of 1 in an empty cell. Copy the Value of 1, Highlight the range of text numbers, and Paste Special, Values, Multiply. This site is great!

  13. king faisal says:

    You can use Dose for Excel Add-In that can quickly clean huge data with one click besides more than +100 new functions and features to add to your Excel to save time and effort.

    https://www.zbrainsoft.com

  14. R.Ranjit says:

    Hi,
    I have a problem in excel. The sheet attached herewith.

    TABLE CONFIG 2/6
    A B C D E F G H
    1 WEIGHT1 43,599 WEIGH2 62500 WEIGHT3 77000 WEIGHT4 66,500
    2 DEDUCTION1 15,000 DEDUCTION1 15,000 TEMP 0 DEDUCTION2 11,005
    3 RESULT 58,599 RESULT-1 77,500 RESULT-2 77,000 RESULT-3 77,505
    4 RESULT SUBSTRACT 0 0 0
    5 REQUIRED VALUE 77,500 77,000 77,505

    Note: 1- RESULT (58599) IS TO BE DEDUCTION EITHER FROM D4 OR F4 OR H4 WHICHEVER IS MOST
    LEAST CELL AMONG RESULT-1 OR RESULT-2 OR RESULT 3.
    2-HENCE, RESULT VALUE $B$3 IS TO BE PRESENTED ON CELL EITHER D4 OR F4 OR H4 WHICHER IS
    MOST LEAST VALUE
    3-FORMULA =IF(E8<H8,$B$9,IF(E8<J8,$B$9,IF(H8<J8,$B$9,IF(H8<E8,$B$9,IF(J8<H8,$B$9))))))
    CREATED ON CELL D4,F4 & H4 DID NOT WORK.
    PLS FOR YOUR HELP.
    THANK YOU

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