Time value of money

Present Value Calculator

Estimate what future money is worth today. Calculate the present value of a future lump sum or a stream of equal periodic payments using your discount rate and number of periods.

Inputs

Present Value of Future Money

Use this when one future amount will be received or paid later.

Present value $0

Results update automatically.

Future value$0
Discount amount$0
Rate per period0%
Periods0

Formula Used

PV = FV / (1 + r)^n.

Inputs

Present Value of Periodic Payments

Use this when the same payment amount occurs every period.

Present value $0

Results update automatically.

Future value$0
Total payments$0
Future interest$0
Payment timingEnd

Value Breakdown

Present value$0
Future interest$0

Formula Used

PV = PMT x [1 - (1 + r)^-n] / r.

Method

How to Use This Present Value Calculator

Choose whether you are valuing one future amount or a series of equal payments. Enter the future amount or payment amount, the number of periods, and the discount rate per period. The calculator immediately estimates the present value and shows the formula used.

The discount rate should match the period. If your period is one year, use an annual rate. If your period is one month, use a monthly rate. Mixing annual rates with monthly periods is one of the most common present value mistakes.

Present Value Formulas

Single future amount PV = FV / (1 + r)n

Use when one future amount is paid or received at the end of the period count.

Ordinary annuity PV = PMT x [1 - (1 + r)-n] / r

Use when payments happen at the end of each period.

Annuity due PV due = ordinary annuity PV x (1 + r)

Use when payments happen at the beginning of each period.

Practical examples

When Present Value Is Useful

Investment comparison

Compare a future payout with the amount you would need today at a chosen discount rate.

Settlement or pension checks

Estimate the current value of future payments before comparing a lump sum with installments.

Loan and bond thinking

Understand why fixed future payments are worth less today when market rates rise.

Project planning

Discount expected future cash benefits before comparing them with current project costs.

Example

Present Value Example

If you expect to receive $1,000 in 10 periods and use a 6% discount rate per period, the present value is about $558.39. The rest of the future amount is the discount effect from waiting and using the selected rate.

For equal $100 payments over 10 periods at a 6% rate, the ordinary annuity present value is about $736.01. If those payments happen at the beginning of each period, the present value is higher because each payment arrives one period sooner.

PV vs. NPV

Present value usually discounts one amount or one payment stream. Net present value goes further by combining multiple cash inflows and cash outflows. If you are analyzing a project with uneven cash flows, use the IRR Calculator or build a cash-flow schedule.

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Present Value Calculator FAQ

What is present value in simple terms?

Present value is today's estimated worth of money that will be received or paid in the future. It reflects the idea that money available today can usually be invested, used, or saved earlier.

How do I calculate the present value of future money?

Divide the future value by one plus the discount rate raised to the number of periods. The calculator does this automatically after you enter future value, rate, and periods.

What discount rate should I use?

The discount rate depends on the purpose of the analysis. It may reflect an expected return, borrowing rate, inflation assumption, opportunity cost, or required rate of return. The rate should match the period used in the calculator.

What is the present value of an annuity?

It is the value today of equal payments made over time. Payments received earlier are worth more than payments received later, so timing affects the result.

What is the difference between ordinary annuity and annuity due?

An ordinary annuity assumes payments happen at the end of each period. An annuity due assumes payments happen at the beginning of each period, which usually increases present value.

Can present value be used for loan payments?

Yes. Loan balances, payment amounts, and interest rates are all connected through present value math. For loan-specific details, use the payment, loan, or amortization calculators.

Why does a higher rate lower present value?

A higher rate means future money is discounted more heavily. In plain language, a future dollar has to compete with what money could earn today at that higher rate.

Is this calculator investment advice?

No. It is a math tool for general planning and education. Real decisions may require tax, risk, inflation, liquidity, and professional advice.

Disclaimer

This calculator is for general informational purposes and simple arithmetic checks. It is not financial, investment, tax, accounting, legal, or retirement advice. Verify important decisions with reliable records and a qualified professional.

Last reviewed: July 3, 2026.