IRR Calculator

The Internal Rate of Return (IRR) is the discount rate at which a project's NPV equals zero — in other words, the project's break-even discount rate. If IRR exceeds your required rate of return (hurdle rate), the project creates value and should be accepted. IRR is solved iteratively using Newton-Raphson with bisection fallback. Our IRR calculator handles any number of irregular cash flows, computes the corresponding NPV at your hurdle rate, profitability index, and provides a side-by-side comparison so you can see exactly how IRR and NPV interact. Use it for capital budgeting, private equity returns, real estate analysis, or any cash-flow investment decision.

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IRR Calculator calculator

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Upfront cost (cash outflow at year 0)

10%
0% 20% 40%

trending_up Results

Internal Rate of Return
25.7516%
Accept
IRR vs Hurdle
25.75% vs 10.00%
Spread: +15.75%
NPV at Hurdle
$48,033
Profitability Idx
1.4803
Sum of CFs
$200,000
Net Cash Flow
+$100,000

tips_and_updates Tips

  • Accept the project when IRR > hurdle rate; reject when IRR < hurdle rate
  • IRR and NPV always agree on accept/reject for conventional projects (one initial outflow, then inflows)
  • For mutually exclusive projects, prefer NPV — IRR can mislead with different scales or timing
  • Multiple sign changes in cash flows can produce multiple IRRs (use modified IRR or NPV instead)
  • IRR assumes interim cash flows are reinvested at the IRR rate — often unrealistic for high IRRs
  • Private equity and VC commonly target IRRs of 20-30%+
  • A higher IRR is always better when comparing similar projects with similar scales

How to Use the IRR Calculator

1

Enter initial investment

Upfront cost of the project (treated as a cash outflow at time 0).

2

Set hurdle rate

Your required rate of return — the bar IRR must clear to accept the project.

3

Enter cash flows

Comma-separated yearly cash inflows. Add as many years as needed.

4

Read IRR

See the IRR percentage, accept/reject decision, NPV at your hurdle rate, and profitability index.

5

Compare to NPV

Both NPV and IRR are shown — use NPV for mutually exclusive projects, IRR for hurdle-based decisions.

The Formula

IRR is the rate of return implied by a project's cash flows — it cannot be solved algebraically and requires iterative numerical methods (Newton-Raphson, bisection). Our calculator runs Newton-Raphson with a bisection fallback to guarantee convergence even for unusual cash flow patterns. Once you have IRR, the decision rule is simple: if IRR > your hurdle rate (cost of capital), accept the project; if IRR < hurdle rate, reject it.

0 = -Initial + Σ CF_t / (1 + IRR)^t solve for IRR

lightbulb Variables Explained

  • IRR Internal rate of return — the discount rate at which NPV = 0
  • Initial Initial investment (cash outflow at t=0)
  • CF_t Cash flow in period t
  • t Period number (1, 2, 3, ..., n)
  • n Total number of periods

tips_and_updates Pro Tips

1

Accept the project when IRR > hurdle rate; reject when IRR < hurdle rate

2

IRR and NPV always agree on accept/reject for conventional projects (one initial outflow, then inflows)

3

For mutually exclusive projects, prefer NPV — IRR can mislead with different scales or timing

4

Multiple sign changes in cash flows can produce multiple IRRs (use modified IRR or NPV instead)

5

IRR assumes interim cash flows are reinvested at the IRR rate — often unrealistic for high IRRs

6

Private equity and VC commonly target IRRs of 20-30%+

7

A higher IRR is always better when comparing similar projects with similar scales

The internal rate of return (IRR) is one of the most widely used metrics in corporate finance, private equity, and real estate for evaluating whether an investment is worth pursuing. Mathematically, IRR is the discount rate that makes the net present value (NPV) of all cash flows — both inflows and outflows — equal to zero. In practical terms, it represents the annualized effective compounded return rate the investment is expected to generate. If a project's IRR exceeds your hurdle rate (minimum required return), the project creates value and should be accepted; if it falls below, the project destroys value. IRR is particularly useful for comparing investments of different sizes and durations on a level playing field. A $50,000 investment returning $70,000 in 3 years has an IRR of about 11.9%, which you can directly compare against a $200,000 investment returning $280,000 in 4 years (IRR of about 8.8%). However, IRR has well-known limitations: it assumes interim cash flows are reinvested at the IRR itself (often unrealistic for high-IRR projects), and it can produce multiple solutions when cash flows alternate between positive and negative. For these cases, modified IRR (MIRR) or NPV analysis provides a more reliable answer.

Why IRR is intuitive but tricky

IRR's appeal is intuitive: it tells you the rate of return your project earns, expressed as a single percentage you can compare directly to your cost of capital or alternative investments. It's the metric every entrepreneur and venture capitalist quotes.

But IRR has subtle traps:

  • it assumes interim cash flows reinvest at the IRR itself (unrealistic for high rates)
  • it can produce multiple values when cash flows alternate signs
  • it can lead to wrong conclusions when comparing mutually exclusive projects of different scales

For most decisions, compute both IRR and NPV and let them confirm each other.

IRR vs MIRR

As the CFA Institute curriculum explains, Modified IRR (MIRR) addresses two of IRR's main weaknesses:

  • the unrealistic reinvestment assumption
  • the multiple-IRR problem

MIRR explicitly separates the financing rate (used to discount outflows) from the reinvestment rate (used to compound inflows), then computes a single rate that equates them at the project's end.

MIRR is always unique and is generally more conservative than IRR. For private equity and corporate finance, IRR remains dominant, but MIRR is gaining traction as a more honest measure.

How to Calculate IRR: Formula and Example

IRR is the discount rate that makes the NPV of all cash flows equal zero, so there is no simple closed-form formula — it is solved iteratively. In practice you test discount rates until NPV crosses zero, which is exactly what this calculator does instantly.

A $50,000 investment returning $70,000 in three years has an IRR of about 11.9%, the annual compounded rate that equates those cash flows.

IRR vs NPV: Key Differences Explained

IRR expresses return as a single percentage, which feels intuitive, while NPV reports value in dollars. IRR answers "what rate does this earn?" and NPV answers "how much wealth does this create?"

For ranking projects of different sizes, NPV is more reliable; for quickly screening a single project against a hurdle rate, IRR is convenient.

Most analysts compute both — use our NPV calculator together with this tool.

What Is a Good IRR by Industry

A good IRR is one that comfortably exceeds your cost of capital, but benchmarks vary widely:

  • Public equity investors might be happy with 8–10%
  • real estate deals often target 12–20%
  • private equity and venture capital funds frequently aim for 20–30% or more to compensate for risk and illiquidity

Always compare IRR against the specific hurdle rate for that asset class, not a universal number.

The IRR Hurdle Rate Decision Rule

The decision rule is straightforward: accept a project when its IRR exceeds your hurdle rate (minimum acceptable return) and reject it when IRR falls below.

The hurdle rate usually equals your cost of capital plus a risk premium.

The gap between IRR and the hurdle rate — the "spread" — indicates how much cushion you have if cash-flow estimates prove optimistic.

Why IRR Can Produce Multiple Answers

When a project's cash flows change sign more than once — for example an outflow, then inflows, then a large cleanup cost — the IRR equation can have several mathematically valid solutions. This "multiple IRR" problem makes the metric ambiguous for non-conventional cash flows.

In these cases, rely on NPV or modified IRR (MIRR), which always return a single, interpretable result.

The IRR Reinvestment Rate Assumption

A subtle but important flaw is that IRR implicitly assumes interim cash flows are reinvested at the IRR itself. For a project with a 30% IRR, that assumes you can keep reinvesting at 30% — often unrealistic.

This inflates the apparent return of high-IRR projects. Modified IRR fixes this by assuming reinvestment at a realistic rate such as your cost of capital.

When to Use MIRR Instead of IRR

Modified IRR (MIRR) solves IRR's two biggest problems: it assumes reinvestment at a realistic finance rate rather than the IRR, and it always yields a single value even with sign-changing cash flows.

Use MIRR when:

  • interim cash flows are large
  • the project has non-conventional cash flows
  • you need a defensible reinvestment assumption for stakeholders

For simple conventional projects, plain IRR is usually sufficient.

IRR in Private Equity and Venture Capital

IRR is the headline performance metric in private equity and venture capital because it captures both the size and timing of returns across a fund's life.

Funds report gross and net IRR, and timing matters enormously — an early exit boosts IRR even if the total multiple is modest.

Limited partners often pair IRR with the money multiple (MOIC) to avoid being misled by timing-driven IRR figures.

Using IRR for Real Estate Investments

Real estate investors use IRR to combine rental cash flow, financing, and the eventual sale price into one return figure across the hold period. Because IRR weights early cash flows heavily, refinancing or an early sale can lift it substantially.

Pair IRR with cash-on-cash return and equity multiple for a complete view, since IRR alone can hide a deal that depends entirely on an optimistic exit.

IRR Limitations and Common Pitfalls

Beyond multiple solutions and the reinvestment assumption, IRR can mislead when comparing projects of very different sizes — a tiny project with a high IRR may create less total wealth than a large project with a modest IRR.

IRR also says nothing about scale or absolute dollars.

The safest practice is to use IRR as a screen and confirm the final decision with NPV.

Frequently Asked Questions

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