Investment Details

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Net Present Value

NPV Formula

Net Present Value

NPV = Σ [Cash Flow(t) ÷ (1 + r)^t] − Initial Investment

Where:
t = year number (1, 2, 3, ...)
r = discount rate (as a decimal)

Worked Example

Initial investment: $10,000
Discount rate: 10%
Year 1: $4,000, Year 2: $4,000, Year 3: $4,000

PV Year 1 = 4,000 ÷ 1.10 = $3,636.36
PV Year 2 = 4,000 ÷ 1.10² = $3,305.79
PV Year 3 = 4,000 ÷ 1.10³ = $3,005.26

NPV = (3,636.36+3,305.79+3,005.26) − 10,000 = $9,947.41 − $10,000 = -$52.59

Decision Rule

NPV > 0: Investment expected to add value - consider accepting
NPV < 0: Investment expected to destroy value - consider rejecting
NPV = 0: Investment exactly breaks even at this discount rate

Common Scenarios

$10,000 invested, $4,000/yr for 3 years, 10% rate
NPV ≈ -$52.59
$5,000 invested, $2,000/yr for 4 years, 8% rate
NPV ≈ $1,624.25
$50,000 invested, growing returns, 12% rate
NPV ≈ $5,959.35
$1,000 invested, $600/yr for 2 years, 5% rate
NPV ≈ $115.65

Frequently Asked Questions

A positive NPV means the investment is expected to generate more value than it costs, after accounting for the time value of money - it's expected to be profitable at the given discount rate. A negative NPV means the investment is expected to destroy value at that discount rate - the future cash flows aren't enough to justify the initial cost once properly discounted.
Money available today is worth more than the same amount received in the future, because today's money can be invested to earn a return, and inflation erodes future purchasing power. Discounting converts each future cash flow into its equivalent value in today's dollars, using the discount rate to represent the return you could earn elsewhere, making cash flows from different time periods properly comparable.
The discount rate should reflect the return you could reasonably earn on an alternative investment of similar risk - often called the opportunity cost of capital. Businesses commonly use their weighted average cost of capital (WACC), while individuals evaluating personal investments might use their expected portfolio return or a rate reflecting the specific risk of the opportunity being evaluated.
NPV expresses an investment's value in dollar terms at a chosen discount rate, answering "how much value does this create?" IRR (Internal Rate of Return) instead finds the discount rate at which NPV equals exactly zero, answering "what rate of return does this investment actually generate?" Both are useful, but NPV is generally considered more reliable for comparing investments of different sizes, since IRR can sometimes produce misleading comparisons.
Yes, and this is one of its primary uses - when comparing mutually exclusive investment options, the one with the higher NPV (calculated using the same discount rate) is generally the more financially attractive choice, since it creates more value in today's-dollar terms. However, NPV comparisons work best when investments have similar risk profiles and time horizons.

NPV Calculator - Evaluate Any Investment in Today's Dollars

Net Present Value (NPV) is one of the most fundamental tools in finance and capital budgeting, used to determine whether an investment or project is expected to create or destroy value once the time value of money is properly accounted for. Rather than simply adding up future cash flows, NPV discounts each one back to its equivalent value today, giving decision-makers a single, comparable number to evaluate opportunities of all kinds - from business projects to personal investments.

Quick reference: NPV = Σ[Cash Flow(t) ÷ (1+r)^t] − Initial Investment. A positive NPV suggests the investment adds value at the given discount rate.

The Core Idea: Money Today Is Worth More Than Money Tomorrow

NPV is built entirely around a single foundational principle in finance: a dollar received today is worth more than a dollar received a year from now, because today's dollar can be invested to earn a return in the meantime, and inflation erodes the purchasing power of money over time. Discounting is the mathematical process of converting a future cash flow into its equivalent value today, using the discount rate to represent the return that could be earned on an alternative investment of similar risk. The further into the future a cash flow occurs, the more it gets discounted, since there's more time for that opportunity cost to compound.

Choosing the Right Discount Rate

The discount rate is arguably the most consequential input in an NPV calculation, since even small changes to it can shift a project from apparently profitable to unprofitable. Businesses typically use their Weighted Average Cost of Capital (WACC) - a blend of the cost of debt and equity financing - as the discount rate for corporate investment decisions. Individuals evaluating personal investment opportunities often use their expected alternative investment return (like the return they could earn in the stock market) as a reasonable proxy discount rate, adjusted upward for additional risk if the opportunity being evaluated is riskier than that alternative.

Why NPV Is Often Preferred Over Simpler Metrics

Unlike simpler evaluation methods - like payback period, which only measures how long it takes to recoup the initial investment without considering the time value of money, or naive total cash flow, which ignores discounting entirely - NPV properly accounts for both the timing and the magnitude of cash flows. This makes it particularly valuable for comparing investments with different cash flow patterns: one project that returns money quickly versus another that returns more money but later can be properly compared on equal footing once both are converted into present-value terms.

NPV vs. IRR: Two Sides of the Same Coin

Internal Rate of Return (IRR) is closely related to NPV but answers a slightly different question. While NPV calculates a dollar value at a chosen discount rate, IRR finds the specific discount rate at which NPV would equal exactly zero - essentially, the break-even rate of return the investment generates. Financial analysts often calculate both: IRR gives an intuitive percentage return figure that's easy to compare against a required hurdle rate, while NPV gives the actual dollar value created, which is generally considered the more reliable metric when comparing projects of different sizes or scales.

Practical Considerations When Using NPV

  • Cash flow estimates are inherently uncertain - NPV is only as reliable as the projected cash flows fed into it, and forecasting several years into the future always carries meaningful uncertainty.
  • Sensitivity testing matters - since NPV is sensitive to the discount rate chosen, it's often worth recalculating NPV at a few different plausible discount rates to see how much the conclusion changes.
  • NPV assumes cash flows can be reinvested at the discount rate - an assumption that doesn't always hold perfectly in practice, which is part of why some analysts prefer complementary metrics alongside NPV rather than relying on it alone.

How this calculator works, and where the numbers come from

The NPV Calculator applies the standard formula for this calculation to the values you enter and updates the result as you type. The calculation itself happens in your browser, and the page explains the method so you can check any result by hand.

Please note: Projections assume the inputs you enter stay constant; real returns vary. Results are estimates, not financial advice.

Sources and further reading

Learn more

Read our guide: Compound Interest and the Rule of 72, Checked Against the Math

Last reviewed: by the CalcQube Editorial Team. See our editorial policy for how we build and check calculators, or report an error.