NPV() function to calculate Present Value

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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54 Responses

  1. Hi Chandoo,
    This is awesome *****

    Found 6, just one remaining, and I think it should be in sheet2, as I found 1 in each sheet but didn’t found anything in sheet2 (till yet, I am keep looking).

    Very cleaver and amazing work, enjoyed a lot…
    Thanks Chandoo for this beautiful work.

    Wish you have great time at Hyderabad.

    Regards,

    Khalid

  2. Oh I found the last one, (custom format hmm)

    Truly Amazing and the beauty of this forum.

    You are an Artist Chandoo.

  3. Hi Chandoo,

    Wow, you really have magical skills. I am in office and this sheet ate up an hour of my time….didn’t expect that.

    I could find 5 of the 7 pandas. Didn’t know one could hide so much data in innocent looking excel sheets.

    Thanks!
    -Ranjith

  4. This was very fun and challenging, thanks for posting! I found all of them (well, Sheet1 was tricky, it seems you’re supposed to find the cell and type it in yourself?). Wasn’t sure if it was cool to post the answers here or not, though. Guess I’ll post SPOILER ALERTS so you can skip the rest of the message if you don’t want to see what I came up with.

    SPOILER! SPOILER! SPOILER!
    My answers appear below.

    Sheet1: type PANDA in cell PAN3489
    Sheet2: cell AB201
    Sheet3: cell J8 (Picture1)
    Sheet4: cell H9
    Sheet5: expand Chart1
    Sheet6: formula = “=MID(ADDRESS(9,2^3*23*59,4),1,3)&BIN2HEX(11011010)”
    Sheet7: named range (A1:I18)

    1. Wookie – I would love to get a walkthrough of HOW you figured out sheet 1 and a bit of a formula walkthrough for Sheet 6.

      Basically, I don’t know how I could have found that particular cell input message on Sheet 1.

      And I have no clue about the BIN2HEX part of the formula…before your hint I was able to get the output to read AN9DA. The change to MID and the addition of that ‘,1’ changed it to PANDA…

      1. Hi Rachel,

        To get to the cell in sheet 1 you can press: ctrl G. Then special and then data validation: all. This is also the way to find panda in sheet 7 😉

    2. I agree, this was a fun way to test your ability to navigate through the functionality of Excel! And since you already posted the SPOILER ALERT warning, I should be safe posting a reply to your comment with some solutions of my own… 🙂

      I found all the same solutions you did with a few minor changes:
      Sheet1: If you notice, cell PAN3489 has Custom formatting. You don’t have to type “PANDA”, just the number 1.
      Sheet6: The MID function works as you described, but you can also simply change the RIGHT function to the LEFT function without having to add in the start and end positions for MID.
      Sheet7: Yes, the range name for these cells is called PANDA, but you don’t see the actual word in the sheet unless you change the Zoom setting to 39% or less (hence the clue “Z” 39%).

      Thanks again for a great post, Chandoo!!

    3. I must admit sheet 7 defeated me, but I have some corrections

      Sheet 1 – you type =LEFT(ADDRESS(ROW(),COLUMN(),2),3)&DEC2HEX(ROW())
      in PAN3489 to get “PANDA1”. As it is the first panda. I think panda1 is appropriate, but maybe
      =LEFT(ADDRESS(ROW(),COLUMN(),2),3)&LEFT(DEC2HEX(ROW()),2)
      is better, because it leaves you with “PANDA”
      Sheet 6 – I corrected to
      =LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
      Picky I know, but who uses mid when a right or a left will do?

      1. I know; that was weird. I did try using a LEFT formula, but I kept getting the $ prefix from the cell address. So I tried a couple of variations using MID and it gave me the result I needed. This is actually the first time I’ve ever tried using a MID formula starting at the first character, but I wasn’t trying to spend a lot of time on it, so I went with what worked.

  5. —–Spoilers———

    Alternate Solutions

    1) Type “1” (not the quotes) in PAN3489 and Excel will turn “1” into “PANDA”

    6) The formula Wookie lists also works with LEFT in place of MID

    Lot of fun. Solve time ~20 mins.

    1. @ Rob
      How this 1 turns to PANDA .. means How this is done by excel any formula or something in VBA

      Also how to reach cell PAN3489 .. there are no clues given on sheet 1

      1. @ Navdeep I found PAN3489 by going to “Formulas” and then “Name Manager” and saw there was a field called “Clue1” listed in the Name Manger that references 3489. Finding PAN as the column index was just a bit of a lucky guess through trial and error. Then a note in cell PAN3489 when you navigate there says to try “typing something.” I tried scrolling through the Format Cells menu to see if the text typed in the cell needed to be formatted a certain way, and noticed that “1= Panda” was listed in the custom text menu and tried it. A bit brute force, but I think the desired text entry.

  6. Sheet 1: The answer is not type in Panda. Type 1. There’s a special formatting that replaces 1 with Panda.

    Sheet 6: Just replace right with left, don’t worry about changing the numbers.

    Sheet 7: I found the named range, but don’t know what the Z 39% means. Thoughts?

  7. WOW! I’ve just found the secret eighth PANDA!
    Truly awesome!!!
    Am I the first one who figured that out, guys?

    Btw, thanks for the puzzle!

  8. It was truly a artists work
    chandoo you are grate
    all sheets are deigned different from each other

    @Wookiee: you have a good for others by posting the answers, Thank you too

  9. Guys I Got 8 PANDA in the workbook… 🙂
    [Look Chandoo has against played great trick by reserving one more ester egg, but we are also fan of none other than Chandoo, who can get hold of hidden 8th (untold) ester egg]

    Here is the full list:
    1) Sheet1: Type 1 in Cell PAN3489
    2) Sheet2: Goto Cell AB201
    3) Sheet3: Check the picture located above cell J8
    4) Sheet4: Goto Cell H8
    5) Sheet5: Cells, viz., A4, A10, A16, A21, A29 have all alphabets of PANDA
    6) Sheet5: Resize the chart to see PANDA
    7) Sheet6: Correct the formula as LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
    8) Sheet7: Range A1:I18 is named as PANDA

    1. 1) Sheet1: Type 1 in Cell PAN3489
      2) Sheet2: Goto Cell AB201
      3) Sheet3: Check the picture in the cell J8
      4) Sheet4: Goto Cell H9
      5) Sheet5: Resize the chart to see PANDA
      6) Sheet6: Correct the formula as LEFT(ADDRESS(9,2^3*23*59,4),3)&BIN2HEX(11011010)
      7) Sheet7: Range A1:I18 is named as PANDA

    2. Actually, for sheet7, if you set the zoom to 39% or less, you will see the word PANDA. Yet another PANDA! 🙂

  10. Hi,
    i want to know how to manage bill wise manage vendor invoice and payment in excel please suggest.

    Thanks,
    Ram

  11. Hi Chandoo!

    You rock with these amazing skills!

    Sheet 1: ??
    Sheet 2: ??
    Sheet 3: Cell J8
    Sheet 4: Cell H9
    Sheet 5: A4, A10, A16, A21, A29
    Sheet 6: B2
    Sheet 7: ???

  12. I love this time of year and look forward to Chandoo’s egg hunts. Whilst I got all the pandas, I do not understand how sheet 7 works; Where is the source data and why does it only work when zoomed out to 39% or more?

      1. Ha ha, that’s fantastic. Thanks Hui. @Chandoo, thanks for yet another method to decrypt worksheets in order to re-build or explain them better to clients.

  13. These were fantastic and kept me intrigued until I could finish them. (Had to look here for help with Sheet1!) Definitely learning a lot about some new formulas. Awesome, Chandoo!

  14. Ok, just saw the notes on the Zoom 39% on Sheet 7. Can someone explain what’s happening here and why PANDA shows up at that level?

  15. Wow, great exercise.
    Tried and solved 5 out of seven and other two solved incorrectly (1 & 6).
    Thanks 🙂

  16. Wow.. Awesome set of puzzles Chandoo!!

    Am now trying to figure out how sheet 7 was prepared.. 39% Zoom setting logic.. Can someone help me with a hint?

    Thanks!

    1. Looks like this is an XL feature.. Zooming out the worksheets below 40% level, by default displays all named ranges (more than 2 cells)! Had not come across this till date..

  17. Great works! Was having FUN in finding the pandas. Thanks.

    btw, I used one basic function (Find, CTRL+F) to find 2 pandas. Simply Find “Panda” within “Workbook”… To my surprise, seems no one mentioned that in the process.

    On other other hand, Selection and Visibility Pane is a handy tool to see if there is “extra” shapes for locating pandas hidden in chart/picture.

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