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NPV Function

Get the Net Present Value (NPV) for periodic cash flows

What is the NPV Function?

The NPV Function is a Financial functions, that will calculate the Net Present Value (NPV) for a series of cash flows and a given discount rate. It is important to understand the Time Value of Money, which is a foundational building block of various Financial Valuation methods.

In financial modeling, the NPV function is useful in determining the value of an investment or understanding the feasibility of a project.  It should be noted that it’s usually more appropriate for analysts to use the XNPV function instead of the regular NPV function.

 

Formula

=NPV(rate,value1,[value2],…)

The NPV function uses the following arguments:

  1. Rate (required argument) – It is the rate of discount over the length of the period.
  2. Value1, Value2 – Value1 is required option. They are numeric values that represent series of payments and income where:
    • Negative payments represent outgoing payments.
    • Positive payments represent incoming payments.

 

The NPV function uses the following equation to calculate the Net Present Value of an Investment:

 

 NPV Function

 

How to use the NPV Function in Excel?

To understand the uses of the function, let’s consider a few examples:

 

Example – Using the NPV Function

Suppose we are given the following data on cash inflows and outflows:

 

NPV Function - Example 1

 

The required rate of return is 10%. To calculate the NPV, we will use the formula below:

 

NPV Function - Example 1a

 

We get the result below:

 

NPV Function - Example 1b

 

The NPV formula is based on future cash flows. If the first cash flow occurs at the start of the first period, the first value must be added to the NPV result, not included in the values arguments.

 

Things to remember about the NPV Function 

  1. Arguments must be numerical, or function with a numerical output. Other forms of input will result in an error.
  2. Arrays that are used as input, will only have its numerical values evaluated. All other values in the array will be ignored.
  3. The input order matters for the series of cash flows.
  4. The NPV function assumes that payments are spaced on equal periodic payments.
  5. The NPV function and IRR function (Internal Rate of Return) are closely related. IRR is the rate for which the NPV equals zero.

Click here to download the sample Excel file

Additional resources

Thanks for reading CFI’s guide to important Excel functions! By taking the time to learn and master these functions, you’ll significantly speed up your financial analysis. To learn more, check out these additional resources:

  • Excel Functions for Finance
  • Advanced Excel Formulas Course
  • Advanced Excel Formulas You Must Know
  • Excel Shortcuts for PC and Mac

Free Excel Tutorial

To master the art of Excel, check out CFI’s FREE Excel Crash Course, which teaches you how to become an Excel power user.  Learn the most important formulas, functions, and shortcuts to become confident in your financial analysis.

 

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