Present Value Calculator
Calculate the present value of a future sum of money. Understand how much a future payment is worth today given a specific discount rate.
Amount you'll receive in the future
Annual interest/discount rate
Present Value
$50,835
What $100,000 is worth today
Total Discount
$49,165
49.2% discount
Calculation Details
Present Value
$50.8K
Discount %
49.2%
Growth Multiple
1.97x
Present Value Formula:
PV = FV / (1 + r/n)^(n×t)
Where r = rate, n = compounding frequency, t = years
Investment Insight
To receive $100,000 in 10 years, you need to invest $50,835 today at 7% return.
Common Uses for Present Value
Investment Valuation
Value future returns to compare investment opportunities
Loan Comparison
Compare loans with different terms and payment schedules
Retirement Planning
Determine how much to save today for future goals
Business Decisions
Evaluate capital projects and business acquisitions
Frequently Asked Questions
Present Value Formula and Discount Rate Selection
The present value formula is PV = FV / (1 + r)^n, where FV is the future value, r is the discount rate per period, and n is the number of periods. With compounding, the formula becomes PV = FV / (1 + r/m)^(m x n), where m is the compounding frequency. Present value answers: "What is a future sum of money worth today?"
Selecting the right discount rate is the most important decision in PV calculations. For personal investments, use your expected return from alternative investments (opportunity cost). For corporate finance, use the Weighted Average Cost of Capital (WACC), which typically ranges from 8-12% for publicly traded companies. For inflation-adjusted calculations, use the expected inflation rate (2.5-3.5% long-term average). For risk-free comparisons, use the 10-year Treasury yield (approximately 4.0-4.5% in 2025).
| Future Value | Discount Rate | Years | Present Value | Discount Amount |
|---|---|---|---|---|
| $100,000 | 5% | 10 | $61,391 | $38,609 |
| $100,000 | 7% | 10 | $50,835 | $49,165 |
| $100,000 | 10% | 10 | $38,554 | $61,446 |
| $100,000 | 7% | 20 | $25,842 | $74,158 |
| $100,000 | 7% | 30 | $13,137 | $86,863 |
At a 7% discount rate, $100,000 received 30 years from now is worth only $13,137 today. This demonstrates why long-term promises (like pension benefits decades away) must be heavily discounted to determine their true present-day value.
Present Value of Annuities: Ordinary vs Annuity Due
An annuity is a series of equal payments at regular intervals. The present value of an ordinary annuity (payments at end of each period) is: PV = PMT x [(1 - (1 + r)^-n) / r]. An annuity due (payments at beginning of each period, like rent) multiplies the result by (1 + r), producing a slightly higher present value because each payment arrives one period sooner.
A $1,000 monthly payment for 20 years at a 6% discount rate (0.5% monthly) has a present value of $139,581 as an ordinary annuity and $140,279 as an annuity due. The $698 difference reflects the time value of receiving each payment one month earlier. For a $3,000 monthly pension over 25 years at 5% discount rate, the present value is approximately $508,000 — the lump sum equivalent of the pension stream.
A perpetuity is an annuity that continues forever. Its present value simplifies to: PV = PMT / r. A $10,000 annual payment at a 5% discount rate has a perpetuity value of $200,000. While true perpetuities are rare (British consols were one historical example), the formula is used to value preferred stock dividends and as a starting point for terminal value calculations in DCF models.
Inflation Adjustment and Risk-Free Rate in PV Analysis
Inflation erodes the purchasing power of future money. To calculate the inflation-adjusted present value, use the real discount rate: approximately Nominal Rate - Inflation Rate (or more precisely: (1 + Nominal) / (1 + Inflation) - 1). With a 7% nominal return and 3% inflation, the real rate is approximately 3.88%. Using this real rate produces present values expressed in today's purchasing power.
| Rate Type | 2025 Approximate Value | Use Case |
|---|---|---|
| Risk-free rate (3-month T-bill) | 4.2-4.5% | Government obligation valuation |
| 10-year Treasury yield | 4.0-4.5% | Long-term risk-free benchmark |
| Corporate WACC (avg) | 8-12% | Corporate project evaluation |
| Expected inflation (long-term) | 2.5-3.0% | Purchasing power adjustment |
| S&P 500 expected return | 7-10% | Opportunity cost for equity investors |
The risk-free rate — typically the yield on U.S. Treasury securities — serves as the baseline discount rate. All other discount rates add a risk premium above the risk-free rate. The equity risk premium (additional return demanded for investing in stocks over Treasuries) has historically averaged 4-6%. When valuing a risky cash flow, the discount rate should reflect the specific risk of that cash flow, not a generic market rate. Higher uncertainty warrants a higher discount rate, producing a lower present value and a more conservative valuation.
Related Calculators
Official References
Learn more about time value of money calculations:
- Understanding Present Value
Comprehensive guide to present value concepts and calculations
This calculator assumes constant interest rates. Actual returns may vary.