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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Extended More scenarios, charts & detailed breakdown ▾
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Professional Full parameters & maximum detail ▾
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NPV Analysis
Net Present Value (NPV) —
PV of Future Cash Flows —
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Profitability Index —
Perpetuity
PV of Perpetuity —
Rate Analysis
Real Discount Rate (Fisher) —
How to Use This Calculator
- Enter the Future Value — the amount you expect to receive in the future.
- Enter the Discount Rate — your required rate of return or opportunity cost.
- Enter the Number of Periods — years until you receive the future value.
- See the Present Value — what that future amount is worth in today's dollars.
- 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) ▾
- SEC Investor.gov — Time Value of Money — U.S. Securities and Exchange Commission
- FINRA — Time Value of Money Concepts — Financial Industry Regulatory Authority
- Federal Reserve — Discount Rate Policy — Federal Reserve
- CFA Institute — Time Value of Money (Refresher) — CFA Institute
- IRS — Publication 550: Investment Income and Expenses — Internal Revenue Service