Present Value Calculator

Calculate the present value of a future sum, annuity, or growing annuity. Includes NPV analysis with up to 5 cash flows, perpetuity, and real vs nominal rates.

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Discount as % of Future Value
Extended More scenarios, charts & detailed breakdown
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PV Factor
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Professional Full parameters & maximum detail
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NPV Analysis

Net Present Value (NPV)
PV of Future Cash Flows
Initial Investment
NPV Decision
Profitability Index

Perpetuity

PV of Perpetuity

Rate Analysis

Real Discount Rate (Fisher)

How to Use This Calculator

  1. Enter the Future Value — the amount you expect to receive in the future.
  2. Enter the Discount Rate — your required rate of return or opportunity cost.
  3. Enter the Number of Periods — years until you receive the future value.
  4. See the Present Value — what that future amount is worth in today's dollars.
  5. Use the Annuity tab for recurring payments, or Professional for full NPV analysis.

Formula

Present Value (Single Sum):

PV = FV / (1 + r)^n

PV of Ordinary Annuity:

PV = PMT × [1 − (1+r)^(−n)] / r

PV of Growing Annuity:

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

  • FV = Future value, r = Discount rate, n = Periods
  • PMT = Payment, g = Growth rate of payments

Example

Example: What is $10,000 received in 10 years worth today at a 7% discount rate?

  • PV = $10,000 / (1.07)^10 = $10,000 / 1.9672 = $5,083.49
  • Discount: $4,916.51 (49.2% of future value)
  • Annuity: $1,000/year for 10 years at 7% = $7,023.58

Frequently Asked Questions

  • Present value (PV) is the current worth of a future sum of money, discounted at a given rate of return. The concept is that money available today is worth more than the same amount in the future because of its potential earning capacity — this is the time value of money.
  • The discount rate depends on context: for investments, use your required rate of return (often 7–10% for stock investments); for corporate projects, use the company's WACC; for personal finance decisions, use your opportunity cost — what you could earn with alternative investments.
  • Present Value (PV) discounts a single future amount. Net Present Value (NPV) sums the PV of multiple future cash flows and subtracts the initial investment. NPV > 0 means the investment creates value; NPV < 0 means it destroys value.
  • A perpetuity is a stream of equal payments that continues forever. Its present value is: PV = Payment / Discount Rate. For example, a $1,000/year perpetuity discounted at 5% = $1,000 / 0.05 = $20,000. Government bonds and preferred stocks sometimes resemble perpetuities.
  • The Fisher equation relates nominal rates, real rates, and inflation: (1 + nominal) = (1 + real) × (1 + inflation). Rearranging: real rate = (1 + nominal) / (1 + inflation) − 1. For example, 8% nominal with 2.5% inflation gives a real rate of about 5.37%.

Related Calculators

Sources & References (5)
  1. SEC Investor.gov — Time Value of Money — U.S. Securities and Exchange Commission
  2. FINRA — Time Value of Money Concepts — Financial Industry Regulatory Authority
  3. Federal Reserve — Discount Rate Policy — Federal Reserve
  4. CFA Institute — Time Value of Money (Refresher) — CFA Institute
  5. IRS — Publication 550: Investment Income and Expenses — Internal Revenue Service