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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13 Responses to “Gantt Box Chart Tutorial & Template – Download and Try today”

  1. Oli says:

    Hi Chandoo

    As one of your students I have followed your detailed example through with great success. However, Excel is acting in an unexpected way and I wonder if you could take a look?
    http://cid-95d070c79aef808e.office.live.com/self.aspx/.Public/Gantt%20Box%20Chart.xlsm
    On my version, I have to type 40239 (Which equates to 2 Mar 2010) to get the chart to display 31 May 2010 (which should be 40329)!!??

    Have I done something wrong or is Excel acting up?

    Thx
    Oli
    PS Your example file in 2007 displays correctly.

  2. Dave says:

    Hi,

    I like this idea a lot, but I agree the name is a little drab.

    As an American I may just be seeing things, but to me the combination of lines and bars on your chart looks like a bunch of cricket bats.

    Maybe you could work that into a catchier name. 🙂

    Cheers!

  3. Bob says:

    Here is some code I use to keep the axis synched.
    It may be useful to some of your readers
    It is based on a comment I saw on Daily Dose of Excel.

    Function SynchGanttAxis(Cname, lower, upper)
    'Sets the X min and X max for Category axis

    Application.Volatile

    On Error Resume Next
    '
    'Top Horizontal Axis
    With ActiveSheet.Shapes(Cname).Chart.Axes(xlCategory, 1)
    .MinimumScale = lower
    .MaximumScale = upper
    End With

    'Bottom Horizontal Axis
    With ActiveSheet.Shapes(Cname).Chart.Axes(xlValue, 2)
    .MinimumScale = lower
    .MaximumScale = upper
    End With

    End Function

    Function SynchVerticalAxis(Cname, lower, upper)
    Application.Volatile
    On Error Resume Next
    ' Excel 2007 only
    'Right hand vertical axis
    With ActiveSheet.Shapes(Cname).Chart.Axes(xlValue, 1)
    .MinimumScale = 0
    .MaximumScale = upper
    End With

    End Function

  4. Chandoo says:

    @Oli.. Can you check your file again.. I see 40329...

    @Dave: Even I saw things.. the bars actually looked like lollipops. How about calling this lollipop chart - now that would be yummy and goes along the tradition of naming charts after eatables (bar, pie, donut...)

    @Bob: Superb stuff... thanks for sharing 🙂

  5. Mike H says:

    Hi Chandoo
    This looks really good and I think it can also be applied to show project phases / milestones.

    Question: Thinking further could this be amended to display a project lifecycle (Idea through to Implementation say 7 phases) on one bar / row? Just imagine 20 projects within a programme all on one chart one bar each showing their respective lifecycle stages i.e. on one page.

    Idea: As the Gantt Box Chart this is quite intensive to set up re formatting etc how about the added extra of once you have completed this to "Save as template" i.e. saves the formatting and layout of the chart as a template so you can apply to future charts. Simple to do and will save the time formatting etc again and again and again.
    Therefore tip: Click on your chart demo and then click on Save As template icon (2007) - edit file name and click on save. Ready to use / apply via Templates in Change Chart Type window.

    Thanks and be very interested if the lifecycle question can be resolved

    Mike

  6. Oli says:

    How embarrassing.

    I was obviously suffering from numerical dyslexia. I was one of those days.

  7. Chandoo says:

    @Mike H: You can easily make this chart to work like a generic project lifecycle plan chart. All you have to do is,

    1. in a separate sheet define the steps of lifecycle and various dates in a table (with 5 columns for each of the projects you have).
    2. now use a control cell to input the project name you want to show in the chart
    3. based on the input, use OFFSET Formulas to get the correct data
    4. Rest is same as the tutorial above

    For more info on the dynamic charting visit http://chandoo.org/wp/tag/dynamic-charts/ and http://chandoo.org/wp?s=OFFSET

  8. Your solution is really smart but in the en Excel isn't meant to do stuff like this. I, as a former PM, always thought is was frustrating that you had to do stuff like this for something simple like a Gantt chart. So I built Tom's Planner. And would like to plug it here. I think it really solves the problem you are trying to solve in the most efficient way. Check out http://www.tomsplanner.com for a free account or play around with the demo.

  9. Lopi says:

    Hi there,
    Chandoo - this is really a very nice and helpfull chart - I adopted it, so I can report a forecast or the delay of a certain task (coming from my role as an auditor for projects).
    One topic I´m currently struggeling with: I do have a project lasting for lets say 12 month. For a management reporting, I want to have kind of snapshot, lets say one month back and 2 month in the future. I tried with the offset formula, but failed. Any idea?
    Thx
    Lopi

  10. [...] Ein viel geliebter Klassiker ist die Erstellung von GANTT-Diagrammen mit Excel. Wir hatten das Thema wiederholt schon hier. Chandoo.org hat sich mal wieder mit einer neuen Variante hervorgetan: Das GANTT-Box-Chart. [...]

  11. David says:

    Hi Chandoo - fantastic xls. One thing I can't figure out how to do is adjust the alignment of the vertical axis. I would like to left align so that I could indent to represent sub tasks. Can that be done? Or is there a better way?

  12. Paul says:

    I've been trying to work out if there's a way to show weekends on the graph. The closest thing I've got is to add them on a secondary axis, but then I haven't been able to keep both axis lined up together! Any ideas?

    Following on from this - is it possible to show things like holidays?

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