Present Value Calculator — Discount Future Cash Flows
Calculate the present value of a future sum of money using a discount rate. Understand what future money is worth today. See also Future Value Calculator and Compound Interest Calculator.
How the Present Value Calculator Works
Present value (PV) is a fundamental concept in finance that determines what a future sum of money is worth today, given a specific rate of return (discount rate). The idea is based on the time value of money — a dollar today is worth more than a dollar in the future because it can be invested to earn returns. This calculator discounts a future value back to the present using your chosen discount rate and compounding frequency.
Present Value Formula
PV = FV / (1 + r/n)^(n×t)
Where:
PV = Present value
FV = Future value
r = Annual discount rate (decimal)
n = Compounding frequency per year
t = Number of years
Discount Factor = (1 + r/n)^(n×t)
Total Discount = FV − PV
Example Calculation
Future Value: $50,000
Discount Rate: 6% annually
Time: 10 years
Compounding: Annually
PV = $50,000 / (1 + 0.06)^10
PV = $50,000 / 1.7908
PV = $27,919.74
Total Discount = $50,000 − $27,919.74 = $22,080.26
Present Value Reference Table
Present value of $10,000 at various rates and time periods:
| Rate | 5 Years | 10 Years | 15 Years | 20 Years | 30 Years |
|---|---|---|---|---|---|
| 3% | $8,626 | $7,441 | $6,419 | $5,537 | $4,120 |
| 5% | $7,835 | $6,139 | $4,810 | $3,769 | $2,314 |
| 6% | $7,473 | $5,584 | $4,173 | $3,118 | $1,741 |
| 8% | $6,806 | $4,632 | $3,152 | $2,145 | $994 |
| 10% | $6,209 | $3,855 | $2,394 | $1,486 | $573 |
| 12% | $5,674 | $3,220 | $1,827 | $1,037 | $334 |
Frequently Asked Questions
What is the time value of money?
The time value of money (TVM) is the principle that money available today is worth more than the same amount in the future due to its potential earning capacity. This is the foundation of present value calculations — future cash flows must be discounted to reflect their reduced value today.
What discount rate should I use?
The discount rate depends on the context. For investment analysis, use your required rate of return or opportunity cost. For business valuations, the weighted average cost of capital (WACC) is common. For personal finance, the expected inflation rate (2-3%) or expected investment return (6-8%) are typical choices.
What is the difference between present value and net present value?
Present value (PV) discounts a single future cash flow to today. Net present value (NPV) is the sum of present values of multiple cash flows (both inflows and outflows) over time. NPV is used to evaluate whether an investment or project is worthwhile — a positive NPV means the investment adds value.
How does compounding frequency affect present value?
More frequent compounding results in a lower present value (higher effective discount rate). Daily compounding discounts more aggressively than annual compounding at the same nominal rate. The difference is small for short periods but becomes significant over longer time horizons.