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Present Value Calculator

Use this present value calculator to model growth, return, or time-value scenarios for present value.

Primary answer
Present value
Inputs to verify
Future value, Periodic payment, and Discount rate
Use type
Use as an estimate that depends on assumptions.
Keyword intent
present value calculator

Calculator

Present Value Calculator

Calculates present value from future value, periodic payment, discount rate. Defaults are filled in so you can review a working example before changing inputs.

$

Future lump sum to discount back to today. Use 0 for payment stream only.

$

Equal future payment received every compounding/payment period. Use 0 for a lump sum only.

%

Use 6 for 6%, not 0.06. The rate is divided by the selected frequency.

years

The selected frequency times years must produce a whole number of periods.

Payments are assumed to occur at the same frequency used for discounting.

Choose whether periodic payments happen at the end or beginning of each period.

Result

Result reflects the current submitted inputs.

  • Risk B
  • Reviewed 2026-05-26
  • 4 sources
Present value72,518.36
Future amount PV27,481.64
Payment stream PV45,036.73
Undiscounted cash flow110,000
Discount amount37,481.64

Breakdown

Periodic discount rate
0.5%
Number of periods
120
Discount factor
0.5496
Payment timing
End
  • Annual discount rate input 6 means 6%, not 0.06.
  • The discounting frequency and payment frequency are the same.
  • Payments are equal and occur either at the end of each period (ordinary annuity) or the beginning of each period (annuity due).
  • The calculator uses a fixed nominal annual discount rate and discrete compounding.
  • Fees, taxes, inflation, changing rates, investment risk, and probability of receiving cash flows are excluded.
  • This is an educational estimate, not financial advice or a valuation opinion.

Accuracy notes

Risk level
B
Reviewed
2026-05-26
Sources
4
Primary result
Present value

Formula logic is kept in a pure calculator module with fixtures, source notes, and page-visible assumptions.

Categories

What the result means

Present value answers the page's main present value question. Estimated value today of the future lump sum and payment stream. Read the projected value or rate first, then use contribution, period, and return outputs to explain why it changed. Use future amount PV, payment stream PV, and undiscounted cash flow to explain why present value moved when an input changed. Change one assumption at a time so you can see which input is driving the projection.

Present valueEstimated value today of the future lump sum and payment stream.
Future amount PVPresent value of the future lump sum.
Payment stream PVPresent value of the equal periodic payments.
Undiscounted cash flowFuture lump sum plus all periodic payments before discounting.

Use the result this way

  1. Start with Present value, then use supporting outputs only to explain the primary answer.
  2. Verify future value, periodic payment, and discount rate before copying the result.
  3. Choose the mode or method first because it can change which formula is applied, keep units consistent with the labels shown in the form, and stay within the documented minimum and maximum ranges.
  4. Change one assumption at a time so you can see which input is driving the projection.

User job

How to use this calculator

Use Present Value Calculator when you need present value, then use future amount pv and payment stream pv to check the context for planning conversations, quote comparisons, payment checks, and scenario review.

Best for

  • Comparing one financial scenario with another
  • Preparing questions for a lender, advisor, or statement review
  • Reviewing a default example before entering your own future value and periodic payment.

Check before relying

  • Verify rates, fees, timing, taxes, and local rules against official documents before acting.
  • Annual discount rate input 6 means 6%, not 0.06.
  • The discounting frequency and payment frequency are the same.
  • Source context: OpenStax, reviewed 2026-05-26.

Next useful step

  • Future Value CalculatorUse next when the investment task needs future value instead of present value.
  • Savings CalculatorUse next when the investment task needs required contribution instead of present value.
  • Annuity CalculatorUse next when the investment task needs future value instead of present value.

Formula

Present value equals futureValue / (1 + i)^N plus periodicPayment * annuityPresentFactor, where i is the periodic discount rate and N is the number of periods. Key assumptions: Annual discount rate input 6 means 6%, not 0.06. The discounting frequency and payment frequency are the same. Payments are equal and occur either at the end of each period (ordinary annuity) or the beginning of each period (annuity due).

  • Present value equals futureValue / (1 + i)^N plus periodicPayment * annuityPresentFactor, where i is the periodic discount rate and N is the number of periods.
  • Annual discount rate input 6 means 6%, not 0.06.
  • The discounting frequency and payment frequency are the same.
  • Primary source context: OpenStax.

Inputs

Enter future value, periodic payment, discount rate, and time for planning conversations, scenario checks, and lender or statement comparison. Before calculating, choose the mode or method first because it can change which formula is applied, keep units consistent with the labels shown in the form, and stay within the documented minimum and maximum ranges. Future value: Future lump sum to discount back to today. Use 0 for payment stream only. Periodic payment: Equal future payment received every compounding/payment period. Use 0 for a lump sum only. Discount rate: Use 6 for 6%, not 0.06. The rate is divided by the selected frequency.

Future valueFuture lump sum to discount back to today. Use 0 for payment stream only.
Periodic paymentEqual future payment received every compounding/payment period. Use 0 for a lump sum only.
Discount rateUse 6 for 6%, not 0.06. The rate is divided by the selected frequency.
TimeThe selected frequency times years must produce a whole number of periods.
Discount/payment frequencyPayments are assumed to occur at the same frequency used for discounting.
Payment timingChoose whether periodic payments happen at the end or beginning of each period.

Example

Using the default inputs, Present Value Calculator returns present value of 72,518.36. Adjust future value, periodic payment, discount rate, and time to match your own scenario.

FAQ

How is present value calculated here?

Present value equals futureValue / (1 + i)^N plus periodicPayment * annuityPresentFactor, where i is the periodic discount rate and N is the number of periods. The first assumption to check is: Annual discount rate input 6 means 6%, not 0.06.

What does Present value mean for present value?

Read the projected value or rate first, then use contribution, period, and return outputs to explain why it changed. Secondary values such as future amount PV, payment stream PV, and undiscounted cash flow are there to explain the primary answer, not to replace it.

What should I enter for Future value?

Future lump sum to discount back to today. Use 0 for payment stream only. Use $ for this field. Choose the mode or method first because it can change which formula is applied, keep units consistent with the labels shown in the form, and stay within the documented minimum and maximum ranges.

How does Periodic payment change present value?

Equal future payment received every compounding/payment period. Use 0 for a lump sum only. Changing it can alter present value because the formula uses the submitted inputs together. Also compare nominal versus effective rate, contribution timing, compounding frequency, inflation, fees, and tax treatment.

Why does the present value example show 72,518.36 for present value?

The default inputs produce 72,518.36 for present value. Treat that as a format and scale check, then replace every default value with your own inputs.

Can the present value result replace financial advice?

No. Use the present value result as comparison context only. Market returns, taxes, fees, legal terms, and personal constraints can change the real outcome.

Sources

Last reviewed: 2026-05-26

  • Reviewed 2026-05-26
    Principles of Finance, 7.3 Methods for Solving Time Value of Money ProblemsOpenStax. Single-sum present value concept, discounting, and annual compounding assumptions.
    Scope
    International educational finance reference for present value as the reverse of future value.
    Supports
    Single-sum present value concept, discounting, and annual compounding assumptions.
  • Reviewed 2026-05-26
    Principles of Finance, 9.1 Timing of Cash FlowsOpenStax. Present value of a single amount, present value of an ordinary annuity, and end-of-period cash flow timing.
    Scope
    International educational finance reference for discounting single future cash flows and ordinary annuities.
    Supports
    Present value of a single amount, present value of an ordinary annuity, and end-of-period cash flow timing.
  • Reviewed 2026-05-26
    PV functionMicrosoft Support. Rate, number of periods, payment, future value, type/payment timing definitions, unit consistency note, zero-rate relation, and published fixture comparison.
    Scope
    Spreadsheet financial-function documentation for constant-rate present value with periodic payments or a future value.
    Supports
    Rate, number of periods, payment, future value, type/payment timing definitions, unit consistency note, zero-rate relation, and published fixture comparison.
  • Reviewed 2026-05-26
    How does compound interest work?Consumer Financial Protection Bureau. Plain-language assumption that compounding frequency and interest rate affect growth and discounting estimates.
    Scope
    U.S. consumer education explanation of compound interest.
    Supports
    Plain-language assumption that compounding frequency and interest rate affect growth and discounting estimates.

Disclaimer

This finance calculator is for educational projection work only. It is not investment, tax, legal, retirement, insurance, or fiduciary advice, and it does not account for every fee, risk, market change, or personal circumstance.