Internal Rate of Return (IRR) Calculator

Calculate investment performance, annualized returns, and cash flow profitability using advanced IRR analysis tools.

Investment Details

Calculator Mode

Lump-sum investment with optional recurring contributions or withdrawals on a fixed schedule.

Initial Investment

Final Value

Value at end of duration

Duration · Years

yrs

Duration · Months

Recurring Contribution

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Frequency

Timing

What is Internal Rate of Return?

Internal Rate of Return (IRR) is the annualized growth rate at which the present value of every cash flow into and out of an investment equals zero. Put differently, it is the single discount rate that makes the net present value of the entire timeline net to zero — the project's own implied return. For investors, IRR answers a deceptively simple question: at what annual percentage did this money actually grow once timing was accounted for?

Unlike a flat percentage return, IRR respects when each dollar arrives. A $10,000 investment returning $11,000 two years later has a different IRR than the same payoff one year later — because the two timelines compound at different rates. That is what makes IRR the standard yardstick for venture capital, private equity, real estate underwriting, and corporate capital budgeting. For nominal lump-sum returns without timing, see our compound interest calculator; for fixed-contribution scenarios, see our SIP calculator.

How IRR works

Sets NPV to zero

IRR is the rate r that satisfies the equation Σ CFt ÷ (1+r)^t = 0. Solving requires iteration — there is no closed-form algebra. Our calculator uses Newton-Raphson with a bisection fallback, the same numerical approach Excel's IRR and XIRR functions use.

Respects timing

Money received earlier compounds at the IRR for more periods, contributing more to the total. That is why a quick payoff produces a higher IRR than the same dollar amount returned later — even though the total cash is identical.

Compares investments on equal footing

Two assets with different sizes, durations, and cash flow patterns can be ranked by IRR alone. The investment with the higher IRR creates more value per dollar per year — assuming you can reinvest interim cash flows at a similar rate.

Pairs with NPV

IRR tells you the return; NPV at your hurdle rate tells you the dollar value created. A high-IRR project may still be too small to matter, and a low-IRR project may create huge NPV if the scale is large enough. Always view them together.

The IRR Formula Explained

IRR is defined implicitly through the net present value equation. There is no isolated formula — IRR is whatever rate satisfies the equation below, and it must be solved iteratively.

IRR (period-based)

Σ CFₜ ÷ (1+IRR)ᵗ = 0

Sum of discounted cash flows equals zero. t indexes periods (months, quarters, years).

XIRR (date-based)

Σ CFᵢ ÷ (1+r)^((dᵢ−d₀)/365) = 0

Each cash flow is discounted by its exact day offset from the first date. The most accurate IRR variant for irregular timelines.

NPV at rate r

NPV = Σ CFₜ ÷ (1+r)ᵗ

The dollar value created if your true cost of capital is r. IRR is the r that makes NPV = 0.

IRR vs ROI vs CAGR

ROI

Return on Investment = (Gain − Cost) ÷ Cost. A pure total-return percentage with no time component. ROI of 50% means nothing without knowing whether that took one year or ten.

CAGR

Compound Annual Growth Rate = (End ÷ Start)^(1/years) − 1. Assumes a single inflow at start and single outflow at end. Ignores intermediate cash flows entirely — perfect for stocks, bad for projects.

IRR

The annualized rate that respects every cash flow's exact timing. The most rigorous of the three. Use IRR when there are multiple inflows or outflows, contributions, withdrawals, or staggered exits.

What is a good IRR?

There is no universal threshold — a good IRR is one that exceeds your alternative use of capital. Public equity returns 7–10% annualized on average; a passive index fund is your low-effort benchmark. Corporate finance teams demand 10–15% IRR on internal capital projects to clear the weighted average cost of capital. Real estate value-add deals are underwritten to 12–18% IRR. Venture capital target IRRs above 25% to compensate for the failure rate. A good IRR is one that beats your true alternative — not a number on a list.

0–5%

Below market

5–10%

Market-rate

10–20%

Strong

20%+

Exceptional

Advantages and Limitations of IRR

Advantages

• Single number that captures both magnitude and timing of every cash flow.
• Directly comparable across investments of different size and duration.
• Universally understood — appears in nearly every investment memo, fund prospectus, and underwriting model.
• Intuitive — IRR is expressed as a percentage, the same unit as a savings account or bond yield.

Limitations

• Assumes interim cash flows can be reinvested at the IRR itself — usually unrealistic. The MIRR variant relaxes this.
• Non-conventional cash flow patterns (multiple sign changes) can produce multiple IRR solutions.
• Ignores deal size — a 25% IRR on $5,000 is less valuable than 12% on $5M. Pair with NPV.
• Sensitive to terminal value assumptions in real estate and PE — change the exit cap rate by 100 bps and the IRR moves materially.

IRR in real estate investing

Real estate is the most natural home for IRR analysis. A property deal generates a clear timeline — down payment in year 0, net rental income each year, refinance proceeds at midhold, and a sale at exit. Each cash flow has a date and a sign, and IRR rolls them up into a single annual return that reflects both rental cash yield and capital appreciation.

Institutional underwriters segment deals by IRR target: core (6–9%, stabilized assets, low leverage), core-plus (9–12%, light value-add), value-add (12–18%, repositioning), and opportunistic (18%+, ground-up development or distressed). The IRR target rises with the risk profile — leverage, lease-up risk, market risk, and execution risk all push the required return higher.

Two assumptions move real estate IRR more than anything else: the exit cap rate (or appreciation rate) and rent growth. A 50-basis-point swing in either flows directly into the terminal value and re-prices the entire deal. Always stress-test both. For levered cash flow analysis, see our mortgage calculator; for property affordability checks, see our house affordability calculator.

IRR for stock market investing

Dollar-cost averaging

Recurring stock purchases at different prices create a dated cash flow series. XIRR is the right metric because each purchase has its own buy price and the timing of dividends matters. CAGR alone undercounts the impact of buying more shares during dips.

Dividends and reinvestment

Dividends are interim cash flows. Reinvesting them assumes the dividend buys more shares at the prevailing price; taking them as cash means they enter your IRR as positive flows. The XIRR of a dividend-reinvested portfolio is often 1–2% higher than the price-only return.

Lumpy buys and sells

Most investors do not actually dollar-cost average — they make irregular buys and sells. XIRR is the only metric that correctly handles a portfolio you funded with $10K in 2020, $5K in 2022, and partially sold in 2024. Treat each transaction as a row.

Comparison to benchmarks

When you compare a personal portfolio to the S&P 500, you must compare apples to apples. Calculate the S&P's XIRR using the exact same buy/sell dates and amounts as your personal portfolio. Anything else over- or under-states the gap.

Difference between IRR and XIRR

IRR assumes every cash flow lands on a uniform schedule — monthly, quarterly, or annually. The math treats the spacing as equal. XIRR, by contrast, uses each cash flow's actual date and computes the return over the precise number of days between them. For perfectly regular contributions XIRR and IRR converge. For anything irregular — a one-off withdrawal three months after a recurring deposit — they diverge.

Use IRR when your model has clean, evenly spaced periods. Use XIRR for real portfolios, mortgages with extra principal payments, private deals with closing-date precision, or any timeline where the gap between transactions is irregular. The Variable Cash Flow tab in this calculator runs XIRR by default.

Why investors use IRR

Capital allocation decisions

When a CFO ranks competing projects, IRR is the lingua franca. Project A's 14% IRR competes directly with Project B's 9% — and the difference flows straight into the company's economic value added each year.

Fund performance reporting

Private equity and venture capital funds report IRR alongside DPI and MOIC. Limited partners use it to compare a fund to a benchmark vintage and to other GPs raising at the same time.

Real estate underwriting

Acquisition teams build IRR models before placing offers. A spreadsheet IRR below the team's hurdle rate kills the deal; an IRR meaningfully above the hurdle drives the bid.

Personal portfolio tracking

Sophisticated retail investors track their personal portfolio's XIRR alongside the S&P's. The gap measures whether their active choices, market timing, and asset allocation have actually added value.

How cash flow timing affects IRR

Timing is the silent driver of IRR. Two deals that return identical total dollars can show wildly different IRRs based on when the cash arrives. A real estate flip that returns $50,000 in 18 months has an IRR around 30%; the same $50,000 profit stretched over five years comes in around 8%. The math punishes patience and rewards speed.

This is why early refinances, accelerated lease-up, and earlier exits all boost IRR even when total dollars stay the same. It is also why IRR alone can mislead — a fast 25% IRR on a tiny deal creates less wealth than a slow 12% IRR on a large one. Always check IRR alongside total dollar profit (the equity multiple or net profit).

IRR examples for beginners

Simple lump sum

Invest $10,000 today, receive $14,000 in 4 years. The IRR is roughly 8.8% — the rate at which $10,000 grows to $14,000 over four compounding years. CAGR gives the same answer because there are no interim flows.

With contributions

Invest $5,000 plus $200/month for 5 years, ending at $20,000. IRR factors each contribution from its specific month — landing around 5.5% annualized. Note this is below CAGR because later contributions had less time to compound.

Real estate flip

$50,000 down on a $200,000 property, sell two years later for $235,000 after $30,000 of improvements. Net cash to investor at exit ≈ $52,000. IRR on the $50,000 outlay ≈ 8%, before rent collected during the hold.

Negative IRR

Pay $5,000 for shares, sell six months later for $4,200. IRR is negative — the calculator annualizes the loss to about −31%. Short holding periods amplify the annualization, so a small loss on paper becomes a large negative IRR.

Built for investors, real estate buyers, finance teams, and finance students.

IRR and XIRR computed with Newton-Raphson and bisection fallback — the same numerical approach used by Excel and Google Sheets. Methodology and assumptions are documented in our methodology and editorial policy. Educational only — not investment advice.

Frequently Asked Questions

Internal Rate of Return (IRR) is the annualized growth rate at which the present value of every cash flow into and out of an investment equals zero. It's the single discount rate that makes the project's net present value net to zero — the implied return embedded in the timeline. Because IRR respects both the size and the timing of every cash flow, it is the standard yardstick in private equity, venture capital, real estate underwriting, and corporate capital budgeting.

IRR has no closed-form algebraic solution — it must be solved iteratively. The calculator uses Newton-Raphson, the same numerical method used by Excel's IRR and XIRR functions, with a bisection fallback when Newton-Raphson cannot converge. You provide the cash flow timeline; the solver finds the rate r where Σ CFₜ ÷ (1+r)ᵗ = 0.

There is no universal answer — it depends on your risk profile and alternative investments. As rough benchmarks: passive index funds return 7–10% annualized over long horizons. Stabilized commercial real estate targets 6–9% IRR. Value-add real estate and corporate capital projects underwrite to 12–18%. Venture capital expects 25%+ to compensate for failure risk. A good IRR is one that meaningfully exceeds your true alternative use of the capital.

ROI is a total return percentage — (Final − Initial) ÷ Initial — that ignores time. An ROI of 50% means nothing without the duration. IRR converts the same cash flows into an annualized rate that respects when each dollar arrives, allowing direct comparison between investments of different lengths. A 50% ROI earned in two years is roughly a 22% IRR; the same 50% earned in five years is closer to 8%.

XIRR is the date-precise variant of IRR. Standard IRR assumes cash flows land on uniformly spaced periods — monthly, quarterly, or annually. XIRR uses each cash flow's exact calendar date and discounts by the precise number of days between transactions. For perfectly regular contributions, IRR and XIRR converge. For real portfolios with irregular buy/sell timing, XIRR is the only correct measure. The Variable Cash Flow tab on this calculator runs XIRR.

IRR is the most commonly used metric for comparing investments of different size, duration, and cash flow pattern on equal footing. Funds use it to report performance to limited partners. Real estate teams use it to underwrite acquisitions. Corporate finance teams use it to rank competing capital projects. Personal investors use it to measure whether their active choices have beaten a passive benchmark. Because it produces a single annualized number, it cuts through complexity in a way ROI and CAGR cannot.

Yes. A negative IRR means the total cash returned is less than the total cash invested once timing is accounted for. It commonly appears for failed startups, mistimed real estate deals, or stock trades sold at a loss. Mathematically, IRR has a floor of −100% (you cannot lose more than you put in). Short holding periods amplify the annualization — a 16% paper loss over six months translates to roughly a −31% annualized IRR.

Standard IRR is a nominal return — it tells you how many dollars you ended with, not how much purchasing power those dollars represent. Inflation erodes that purchasing power. The real IRR formula adjusts for this: Real IRR = (1 + nominal IRR) ÷ (1 + inflation rate) − 1. At 3% inflation, a nominal IRR of 8% becomes a real IRR of about 4.85% — the actual annual increase in what your money can buy. This calculator outputs both.

Not necessarily. IRR ignores deal size — a 30% IRR on a $5,000 deal creates less wealth than a 12% IRR on a $5,000,000 deal. IRR also assumes interim cash flows can be reinvested at the IRR itself, which is often unrealistic. And IRR is sensitive to the timing of cash flows, so a project that returns capital early will show a higher IRR than the same total return spread over longer. Always pair IRR with NPV (which measures dollars created) and the equity multiple (which measures total return).

Four common limitations. First, the reinvestment assumption — IRR assumes you can reinvest interim cash flows at the IRR itself, which is rarely true. MIRR fixes this by using an explicit reinvestment rate. Second, multiple solutions — non-conventional cash flow patterns with several sign changes can produce more than one valid IRR. Third, scale insensitivity — IRR has no notion of deal size. Fourth, terminal-value dependency — in real estate and PE, the assumed exit price drives most of the IRR, so small assumption changes have outsized effects.