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:

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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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12 Responses to “29 Excel Formula Tips for all Occasions [and proof that PHD readers truly rock]”

  1. Peder Schmedling says:

    Some great contributions here.
    Gotta love the Friday 13th formula 😀

  2. Aires says:

    Great tips from you all! Thanks a lot for sharing! bsamson, particularly you helped me on a terribly annoying task. 🙂

    (BTW, Chandoo, it's not exactly "Find if a range is normally distributed" what my suggestion does. It checks if two proportions are statistically different. I probably gave you a bad explanation on twitter, but it'd be probably better if you fix it here... 🙂 )

  3. John Franco says:

    Great compilation Chandoo

    For the "Clean your text before you lookup"
    =VLOOKUP(CLEAN(TRIM(E20)),F5:G18,2,0)

    I would like to share a method to convert a number-stored-as-text before you lookup:

    =VLOOKUP(E20+0,F5:G18,2,0)

  4. Chandoo says:

    @Peder, yeah, I loved that formula
    @Aires: Sorry, I misunderstood your formula. Corrected the heading now.
    @John.. that is a cool tip.

  5. Eric Lind says:

    Hey Chandoo,

    That p-value formula is really great for a statistics person like me.

    What a p-value essentially is, is the probability that the results obtained from a statistical test aren't valid. So for example, if my p value is .05, there's a 5% probability that my results are wrong.

    You can play with this if you install the Data Analysis Toolpak (which will perform some statistical tests for you AND provide the P Value.)

    Let's say for example I've got two weeks of data (separated into columns) with the number of hours worked per day. I want to find out if the total number of hours I worked in week two were really all the different than week one.

    Week1 Week2
    10 11
    12 9
    9 10
    7 8
    5 8

    Go to Data > Data Analysis > T-Test Assuming Unequal Variances > OK

    In the Variable 1 Box, select the range of data for week 1.
    In the Variable 2 Box, select the range of data for week 2.
    Check "Labels"
    In the Alpha box, select a value (in percentage terms) for how tolerant you are of error.

    .05 is the general standard; that is to say I am willing to accept a 95% level of confidence that my result is accuarate.

    Select a range output.

    Excel calculates a number of results: Average (mean) for each week's data, etc.

    You'll notice however that there are two P Values; one-tail and two-tail. (one tail tests are for > or .05), the number of hours I worked in week two is statistically equivalent to the number of hours I worked in week one.

    So here’s a way you might want to use this. You put up a new entry on your blog. You think it’s the best entry ever! So you pull your webstats for this week and compare it to last week. You gather data for each week on the length of time a visitor spends on your website. The question you’re trying to prove statistically is whether there’s an average increase in the amount of time spent on your website this week as compared to last week (as a result of your fancy new blog post). You can run the same statistical test I illustrated above to find out. Incidentally, it matters very little to the stat test whether the quantity of visitors differs or not.

    Anyhow, the Data Analysis toolpack doesn't perform a lot of stat tests that folks like me would like to have access to. In those cases I have to either use different software, or write some very complicated mathematical formulas. Having this p-value formula makes my life a LOT easier!

    Thanks!

    Eric~

  6. Balaji OS says:

    Fantastic stuf..One line explanation is cool.
    Thanks to all the contributors

    OS

  7. Locke says:

    Take FirstName, MI, LastName in access (you can fix it to work in excel) capitalize first letter of each and lowercase the rest and add ". " if MI exists then same for last name:
    Full Name: Format(Left([FirstName],1),">") & Format(Right([FirstName]),Len([FirstName])-1),"") & ". ","") & Format(Left([LastName],1),">") & Format(Right([LastName],Len([LastName])-1),"<")

    I teach excel, access, etc etc for a living and i have my access students build this formula one step at a time from the inside out to show how formulas can be made even if it looks complicated. Yes I know I could just do IsNull([MI]) and reverse the order in the Iif() function but the point here is to nest as many functions as possible one by one (also I illustrate how it will fail without the Not() as it is)

  8. Johan says:

    Extract the month from a date
    The easiest formula for this is =MONTH(a1)
    It will return a 1 for January, 2 for February etc.

  9. anjali says:

    if in a column we write the value of total person for eg. 10 if we spent 1.33 paise each person then how we get total amount in next column and the result will in round form plzzzzz solve my problem sir................... thank u

  10. Hui... says:

    @Anjali

    If the value 10 is in B2 and 1.33 paise is in C2 the formula in D2 could be =B2*C2

    If the values are a column of values you can copy the formula down by copy/paste or drag the small black handle at the bottom right corner of cell D2

  11. sajid says:

    kindly share with me new forumulas.

  12. Biswajit Baidya says:

    How to convert a figure like 870.70 into 870 but 871.70 into 880 using excel formula ? Please help.

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