Present Value Calculator
Understand the time value of money. A dollar today is worth more than a dollar in the future because it can be invested and grow. Enter a future amount, discount rate, and time period to find out what that future sum is worth in today's dollars.
This calculator provides estimates for general informational purposes only and does not constitute financial advice. Consult a qualified financial professional before making any financial decisions.
How It Works
The present value formula is the inverse of compound interest. It discounts a future amount back to today:
PV = FV / (1 + r)^n
Where FV is the future value, r is the annual discount rate (decimal), and n is the number of years.
The discount rate represents your opportunity cost — what you could earn by investing the money elsewhere. Common choices: risk-free rate (Treasury yield), expected market return, hurdle rate for business decisions, or inflation rate.
Worked examples:
Example 1 (simple): You will receive $10,000 in 5 years. Discount rate = 6%.
PV = $10,000 / (1.06)^5 = $10,000 / 1.3382 = $7,473
Discount amount = $10,000 − $7,473 = $2,527 (25.3% discount)
Interpretation: $7,473 invested today at 6% will grow to $10,000 in 5 years. Therefore, an offer of $10,000 in 5 years is equivalent to $7,473 today at a 6% discount rate.
Example 2: Same $10,000 at 10% for 10 years.
PV = $10,000 / (1.10)^10 = $10,000 / 2.5937 = $3,855
The higher the discount rate or the longer the time, the lower the present value — money far in the future at a high discount rate is worth relatively little today.
Frequently Asked Questions
What is the time value of money?
Money available today is worth more than the same amount in the future because it can be invested and earn returns. Present value quantifies this: it tells you what a future sum is worth in today's terms, given the rate of return you could earn in the meantime.
What discount rate should I use?
Use the rate that reflects your opportunity cost: if you would otherwise invest in the stock market at 7%, use 7%. For risk-free comparisons use the current Treasury yield. For business projects, companies often use their weighted average cost of capital (WACC) as the discount rate.
How is present value used in real life?
PV is used to: evaluate lump-sum vs annuity pension options, compare structured settlement offers to lump sums, assess bond prices, evaluate business investment proposals (NPV analysis), and understand the real value of money owed to you in the future.
What is net present value (NPV)?
NPV is the present value of all future cash flows from an investment minus the initial cost. A positive NPV means the investment adds value; a negative NPV means it destroys value relative to the discount rate. This calculator handles a single future amount (one cash flow), not a series.
Does inflation affect present value?
Inflation reduces future purchasing power, so using an inflation rate as the discount rate tells you what future money is worth in today's purchasing power. For example, $10,000 in 5 years at 3% inflation is worth $10,000 / (1.03)^5 = $8,626 in today's purchasing power.