Quick Answer

PV Function

Calculates the present value of a series of future payments or a future lump sum.

✓ Excel✓ Google SheetsExcel All versions

Syntax

PV
(rate, nper, pmt, [fv], [type])

Parameters

ParameterDescriptionRequired
rateInterest rate per period.Required
nperTotal number of payment periods.Required
pmtPayment made each period (default 0).Required
fvFuture value or cash balance after the last payment (default 0).Optional
type0 = end of period (default), 1 = beginning of period.Optional

Basic Example

Present value of monthly payments

=PV(0.05/12, 360, -1000)
Result$186,281.62

The value today of receiving $1,000 per month for 30 years at 5% annual interest.

Advanced Examples

Example 1: Present value of a future goal

Savings target

How much do I need today to have $50,000 in 10 years at 7%?

=PV(0.07, 10, 0, -50000)
Result: $25,417.35
You need $25,417 today to grow to $50,000 in 10 years at 7% interest.

How PV Works

PV discounts each future cash flow back to today using the discount rate. The result is positive when future payments are entered as negative outflows.

1
Enter rate
Type the rate
2
Enter nper
Type the nper
3
Enter pmt
Type the pmt
4
Enter fv
Type the fv
5
Calculate
Press Enter to get the result.

Important Notes & Limitations

  • All inputs must use the same period unit.

  • Assumes constant payments and a constant discount rate.

  • Does not account for inflation, taxes, or fees.

Common Errors & Fixes

Wrong present valueThe rate was not adjusted for the period.

Fix: Divide annual rate by the number of periods per year.

Sign confusionFuture value or payments have the wrong sign.

Fix: Use negative for outflows and positive for inflows.

Download Practice File

Practice PV with Real Data

Download a sample CSV file with pre-populated data and practice exercises for the PV function. Works in both Excel and Google Sheets.

Works in Google SheetsCompatible with ExcelIncludes exercises

File format: CSV (comma-separated values) - opens in Excel, Google Sheets, and all spreadsheet apps

Frequently Asked Questions

What is the present value formula?
PV = FV / (1 + r)^n, where r is the rate and n is the number of periods.
Can PV calculate a perpetuity?
Excel PV does not directly support infinite cash flows, but a perpetuity equals payment divided by rate.
Why is PV negative?
PV is positive when future payments are negative. The sign follows cash-flow convention.