The Excel XNPV Function
XNPV Function Equation
The Excel XNPV Function uses the following equation to calculate the net present value of an investment:
where,
di = the i'th payment date
d1 = the of 0'th payment date
Pi = the i'th payment
Related Function:
NPV Function
Function Description
The Excel XNPV function calculates the Net Present Value for a schedule of cash flows that is not necessarily periodic.
The syntax of the function is:
XNPV( rate, values, dates )
Where the arguments are:
| rate | - | The discount rate to apply to the cash flows. |
| values | - |
An array of numeric values, representing payments and income, where:
|
| dates | - | An array of dates corresponding to the array of payments. This array must be the same length as the supplied values array. |
XNPV Function Example
| A | B | C | |
|---|---|---|---|
| 1 | 5% | - Discount rate | |
| 2 | Jan-01-2016 | -$10,000 | - Initial investment cost |
| 3 | Feb-01-2016 | $2,000 | - Return from year 1 |
| 4 | May-01-2016 | $2,400 | - Return from year 2 |
| 5 | Jul-01-2016 | $2,900 | - Return from year 3 |
| 6 | Nov-01-2016 | $3,500 | - Return from year 4 |
| 7 | Jan-01-2017 | $4,100 | - Return from year 5 |
| 8 | |||
| 9 | Net Present Value: | ||
| 10 | =XNPV( B1, B2:B7, A2:A7 ) |
In the above spreadsheet on the right the Xnpv function is used to calculate the net present value of a series of cashflows.
The discounted rate is shown in cell B1 of the spreadsheet, the dates of the returns are stored in cells A2-A7 and the values of the returns are stored in cells B2-B7.
The Xnpv function, as shown in cell C10, is:
=XNPV( B1, B2:B7, A2:A7 )
which gives the result $4,447.94
For further details and examples of the Excel Xnpv function, see the Microsoft Office website.
XNPV Function Errors
If you get an error from the Excel Xnpv function this is likely to be one of the following:
Common Errors
| #NUM! | - |
Occurs if either:
|
| #VALUE! | - |
Occurs if either:
|