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Present Value Investment Calculator
Find the present value of any future lump-sum investment. Enter the future value, discount rate, and time horizon to get the exact present value, discount factor, interest discount, and year-by-year discounting table.
✓Verified: CFA Institute & Investopedia — standard PV formula
$
Enter a valid future value.
The amount you expect to receive in the future
%/yr
Enter a valid discount rate (0–100%).
Your required rate of return or opportunity cost
Enter a valid time period.
Can use decimals (e.g. 2.5 for 30 months)
Present Value (PV)
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⚠️ Disclaimer: Results are for informational purposes. Actual investment returns vary. Consult a financial advisor for investment decisions. This calculator does not account for taxes, fees, or inflation unless these are included in your discount rate.
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Sources & Methodology
✓Present value formula verified against CFA Institute curriculum and Investopedia financial reference library — standard time value of money methodology.
Present value definition, formula variations, and practical applications referenced in content and examples
Formula: PV = FV / (1 + r/n)^(n×t), where FV = future value, r = annual discount rate (decimal), n = compounding periods per year, t = years. Discount Factor: 1 / (1 + r/n)^(n×t). Interest Discount: FV − PV. The year-by-year table shows the discounted value at each annual step.
⏱ Last reviewed: April 2026
How to Calculate Present Value of an Investment
Present value (PV) is the current worth of a future sum of money given a specified rate of return. The core principle — the time value of money — states that a dollar today is worth more than a dollar in the future, because today's dollar can be invested to earn a return. Present value calculations are fundamental to every area of finance: investment analysis, bond pricing, capital budgeting, and retirement planning.
The Present Value Formula
PV = FV / (1 + r/n)^(n × t)
FV = future value | r = annual rate (decimal) | n = compounding periods/year | t = years
Example: What is $10,000 received in 5 years worth today at 6% discount rate (annual)?
PV = 10,000 / (1.06)^5 = 10,000 / 1.3382 = $7,472.58
Interest Discount = $10,000 − $7,472.58 = $2,527.42
How Discount Rate Affects Present Value
The higher the discount rate, the lower the present value — because high rates mean future money is worth less today. This reflects higher opportunity cost and risk. Conversely, at lower rates, future cash flows are worth more in present value terms.
Future Value
Time
Discount Rate
Present Value
Discount
$10,000
5 yr
3%
$8,626
$1,374
$10,000
5 yr
6%
$7,473
$2,527
$10,000
5 yr
10%
$6,209
$3,791
$10,000
10 yr
6%
$5,584
$4,416
$10,000
20 yr
6%
$3,118
$6,882
$100,000
30 yr
7%
$13,137
$86,863
Choosing the Right Discount Rate
The discount rate should reflect what you could earn on alternative investments of similar risk. For risk-free government bonds, use the current risk-free rate (e.g. 10-year Treasury yield). For corporate investments, use the company's weighted average cost of capital (WACC). For personal finance decisions, use your expected portfolio return. For inflation-adjusted analysis, use the real rate of return (nominal rate minus inflation).
Present Value vs Net Present Value (NPV)
Present value discounts a single future cash flow. Net Present Value (NPV) extends this to multiple cash flows and subtracts the initial investment: NPV = ∑[CF_t / (1+r)^t] − Initial Cost. A positive NPV means the investment creates value above the required return. A negative NPV means it destroys value. Most capital budgeting decisions use NPV as the primary decision criterion.
💡 Rule of 72 in reverse: At 6% discount rate, money loses half its present value approximately every 12 years (72/6). At 9%, every 8 years. This means a $100,000 payment due in 24 years has a present value of only about $25,000 at 6%. The further into the future, the more dramatically present value falls — which is why long-term obligations and pension liabilities are highly sensitive to discount rate assumptions.
Frequently Asked Questions
PV = FV / (1 + r/n)^(n×t). FV is the future value, r is the annual discount rate as a decimal, n is compounding periods per year, t is years. For $10,000 in 5 years at 6% annual: PV = 10,000 / (1.06)^5 = $7,472.58. This is what $10,000 received in 5 years is worth today at a 6% required return.
Future value answers "what does money today grow to?" FV = PV × (1+r)^n. Present value answers "what is future money worth today?" PV = FV / (1+r)^n. They are inverse calculations. FV moves money forward in time; PV moves money backward in time using the same discount rate.
The discount rate is the interest rate used to convert future cash flows to present value. It reflects opportunity cost (what you could earn elsewhere), risk premium (compensation for uncertainty), and inflation. Higher discount rates produce lower present values. Common choices: risk-free rate for government bonds, WACC for corporate projects, expected portfolio return for personal finance.
PV = 10,000 / (1.05)^10 = 10,000 / 1.6289 = $6,139.13. This means $6,139.13 invested today at 5% would grow to exactly $10,000 in 10 years. Alternatively, a guaranteed $10,000 payment in 10 years is worth $6,139.13 to you today if your required return is 5%.
Discount factor = 1 / (1 + r)^n. It converts future value to present value by multiplication: PV = FV × Discount Factor. For 6% over 5 years: DF = 1 / (1.06)^5 = 0.7473. Any future cash flow multiplied by 0.7473 gives its present value at 6% for 5 years. Discount factor tables are tabulated in finance textbooks for quick reference.
PV allows investors to compare cash flows at different points in time on equal terms. Without PV, you cannot meaningfully compare receiving $10,000 today vs $12,000 in 3 years. With 5% discount rate: $12,000 in 3 years = $10,366 PV — better than $10,000 today. PV is the foundation of DCF valuation, bond pricing, and capital budgeting decisions.
Inflation reduces the purchasing power of future money. It is incorporated into the nominal discount rate. If inflation is 3% and your required real return is 3%, your nominal rate is approximately 6% (Fisher equation: nominal = real + inflation). Higher nominal discount rates produce lower present values, reflecting inflation's erosion of future purchasing power.
Present value discounts a single future cash flow. Net Present Value (NPV) sums the present values of multiple future cash flows and subtracts the initial investment: NPV = Sum[CF/(1+r)^t] − Cost. Positive NPV = value-creating investment; negative NPV = value-destroying. NPV is the primary tool in capital budgeting and project evaluation.
Use your opportunity cost — what you could earn on alternative investments of similar risk. For personal finance: your expected portfolio return (e.g. 7-8% for equity). For risk-free comparisons: current 10-year Treasury yield. For corporate projects: WACC. For after-inflation analysis: subtract expected inflation from nominal rate to get the real discount rate.
Use n=12 in the formula: PV = FV / (1 + r/12)^(12×t). For $10,000 in 5 years at 6% monthly compounding: PV = 10,000 / (1.005)^60 = $7,414.28, slightly less than the annual result ($7,472.58) because monthly compounding applies discounting more frequently, reducing PV slightly further.