BCBetter Calculators

Present Value Calculator

Calculate what a future sum of money is worth in today's dollars.

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Enter your values and click Calculate

How It Works

The calculator uses the standard present value formula: PV = FV ÷ (1 + r/n)^(n×t), where FV is the future value, r is the annual discount rate as a decimal, n is the number of compounding periods per year, and t is the number of years. The denominator compounds the rate over all periods, producing a discount factor that reflects how much the future sum has been eroded by time and opportunity cost. A higher discount rate or longer time horizon produces a lower present value. The effective annual rate (EAR) is also computed as (1 + r/n)^n − 1 to show the true annual impact of within-year compounding — monthly compounding at 6% yields an EAR of about 6.17%, slightly higher than the stated rate.

Examples

USD 50,000 in 10 years at 6% discount rate
What is that future amount worth today?
Result: Present value ~USD 27,400.
USD 100,000 in 20 years at 8% discount rate
A long-horizon retirement goal discounted back to today.
Result: Present value ~USD 20,200.
USD 25,000 in 5 years at 4% annually
A near-term lump sum discounted at a conservative rate.
Result: Present value ~USD 20,548.

Frequently Asked Questions

What discount rate should I use?
Use the rate of return you could reasonably earn on an alternative investment of similar risk. Common choices include your expected investment return, your cost of capital, or the current risk-free interest rate such as a Treasury yield.
What is the difference between present value and future value?
Future value tells you what a sum invested today will grow to over time. Present value reverses that process — it tells you what a future amount is worth today by discounting it back at an assumed rate of return.
Does compounding frequency matter?
Yes, more frequent compounding produces a slightly lower present value because the effective annual rate rises with compounding frequency. Monthly compounding at 6% has a higher EAR than annual compounding at 6%, meaning you discount the future sum more aggressively.

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