present discounted value calculator

Present Discounted Value Calculator

Estimate today’s value of future cash flows using a discount rate. Choose a model below and click calculate.

What is present discounted value?

Present discounted value (PDV), often called present value (PV), tells you what future money is worth today after accounting for time and risk. A dollar received years from now is worth less than a dollar in your hand now, because today’s dollar can be invested and earn a return.

PDV is one of the core ideas in finance, economics, and business decision-making. You can use it to compare investments, evaluate loans, value contracts, or decide whether a future payoff is attractive right now.

Formulas used in this calculator

1) Single future cash flow

PV = FV / (1 + r)n

  • FV: future value
  • r: discount rate per period
  • n: number of periods

2) Level annuity (equal payments each period)

PV = PMT × [1 − (1 + r)−n] / r

If r = 0, then PV simplifies to PMT × n.

3) Growing annuity (payments grow at rate g)

PV = P1 / (r − g) × [1 − ((1 + g)/(1 + r))n]

If r = g, then PV simplifies to n × P1 / (1 + r).

4) Custom cash-flow stream

For cash flows that vary period to period, PDV is the sum of each discounted cash flow:

PV = Σ [CFt / (1 + r)t]

How to use this PDV calculator

  • Select the calculation type that matches your scenario.
  • Enter the discount rate for each period (for example, yearly if periods are years).
  • Input cash-flow details and number of periods.
  • Click Calculate PDV to see the present value and a quick interpretation.

Choosing the right discount rate

The discount rate is the most important input. A higher rate reduces present value because future cash flows are penalized more heavily. In practice, people often choose rates based on:

  • Expected inflation
  • Opportunity cost (what you could earn elsewhere)
  • Risk level of the cash flows
  • Company hurdle rate or weighted average cost of capital (WACC)

Common mistakes to avoid

  • Mismatched periods: if your rate is annual, your cash flows should also be annual.
  • Ignoring risk: safe and risky cash flows should not use the same discount rate.
  • Mixing nominal and real values: be consistent with inflation treatment.
  • Forgetting timing: this calculator assumes cash flows occur at the end of each period.

Why PDV matters in real life

PDV helps with decisions like buying rental properties, comparing pension options, valuing side projects, estimating education payoffs, and pricing long-term contracts. Anytime money arrives over time, PDV provides a common “today dollars” lens for clear comparison.

Quick interpretation guide

If PDV is greater than your current cost, the opportunity may create value. If PDV is lower than cost, you may want to reconsider or negotiate better terms. The framework is simple, but powerful.

🔗 Related Calculators