Finance & Investment

IRR Calculator 2026

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IRR + MIRR + Equity Multiple
NPV at any discount rate
IRR & NPV CalculatorFree · No signup
$
Entered as positive (treated as outflow)
%
Annual Cash Flows (Year 1 onward)
Year
Cash Flow ($)
Y1
$
Y2
$
Y3
$
Y4
$
Y5
$
Y6
$
MIRR Rates
%
Cost of capital (negative flows)
%
Expected return on interim cash flows

IRR Calculation Formula: Newton-Raphson Method, Manual Interpolation, and a Worked Example

Internal Rate of Return is the discount rate that makes Net Present Value equal to zero across all cash flows. There is no closed-form algebraic solution for most cash flow series, so IRR is solved iteratively. This calculator uses the Newton-Raphson method, which converges to 8 decimal places in most cases.

The IRR Formula

0 = CF0 + CF1/(1+r) + CF2/(1+r)^2 + ... + CFn/(1+r)^n
Solve for r using Newton-Raphson iteration
r_next = r - NPV(r) / NPV'(r)
Repeat until |r_next - r| < 0.00000001

Manual Interpolation Method

For a quick estimate without a computer, use the interpolation method:

1
Calculate NPV at a low rate
Try 10% or 15%. If NPV is positive, your IRR is above this rate.
2
Calculate NPV at a high rate
Try 20% or 25%. If NPV is negative, IRR falls between the two rates.
3
Interpolate
IRR = r_low + [NPV_low / (NPV_low - NPV_high)] x (r_high - r_low)
4
Narrow the range for precision
Repeat with rates closer together until the estimate is accurate enough.

Worked Example: Rental Property Acquisition

You buy a rental property for $500,000. It generates $80K-$110K in annual cash flows over 5 years and you sell for $650,000 in Year 6 (included in the Year 6 cash flow).

Year 0: -$500,000 (purchase)
Year 1: +$80,000 (net income after expenses)
Year 2: +$90,000
Year 3: +$95,000
Year 4: +$100,000
Year 5: +$110,000
Year 6: +$650,000 (sale proceeds + final year income)
IRR: approximately 18.4%
At 15%: NPV = +$48,000 | At 20%: NPV = -$27,000
Interpolated: 15% + [48/(48+27)] x 5% = 18.2% (exact: 18.4%)

Decision Rule

Accept a project if IRR exceeds your required rate of return (hurdle rate). If your cost of capital is 10% and the IRR is 18.4%, the investment adds value. NPV at 10% is positive. If IRR falls below your hurdle rate, NPV is negative and the project destroys value relative to alternatives.

How to Calculate IRR in Excel: IRR, XIRR, and MIRR

Excel offers three IRR functions. Choosing the right one matters more than most people realize, particularly for real estate and private equity deals where cash flows do not fall cleanly at year-end.

=IRR(values, [guess]) - annual cash flows at equal intervals
e.g. =IRR(B1:B7) where B1 = -500000, B2:B7 = annual inflows
=XIRR(values, dates, [guess]) - irregular timing
e.g. =XIRR(B1:B7, C1:C7) (more accurate for real deals)
=MIRR(values, finance_rate, reinvest_rate) - modified IRR
e.g. =MIRR(B1:B7, 8%, 5%) (separate rates for borrowing and reinvesting)

MIRR corrects a known flaw in standard IRR: the assumption that interim cash flows are reinvested at the same IRR rate. A deal returning 25% IRR does not mean you will reinvest those distributions at 25%. MIRR uses a realistic reinvestment rate (typically 5-8%) and is more conservative. Use MIRR when comparing projects with very different cash flow timing or when early distributions are large.

For most residential real estate models, =IRR works fine. For commercial deals with irregular closing dates and capital calls, =XIRR is the right choice.

IRR Calculation Table: How NPV Changes at Different Discount Rates

The table below shows how NPV changes as the discount rate increases for the default example ($500K investment, $80K-$110K annual cash flows, $650K exit in Year 6). IRR is the rate where NPV crosses zero.

Discount RateNPVDecision
5%+$390,000Accept
10%+$189,000Accept
15%+$48,000Accept
18.4% (IRR)$0Breakeven
20%-$27,000Reject
25%-$130,000Reject

Building this table by hand is exactly how manual IRR interpolation works: find two rates that straddle zero NPV, then interpolate. At 15%, NPV is +$48K. At 20%, NPV is -$27K. Interpolated IRR = 15% + [48/(48+27)] x 5% = 18.2%, close to the exact 18.4%.

IRR Calculator for Real Estate: Annual Cash Flows, Debt Service, and Exit Value

Real estate IRR models have three components: the initial acquisition cost (Year 0 outflow), annual net operating income minus debt service (Years 1+), and sale proceeds minus selling costs in the exit year. Getting the annual cash flows right requires accurate NOI. Use the Cap Rate Calculator to determine your property's income before running the IRR model.

IRR by Real Estate Strategy

StrategyTarget IRRTypical Hold
Core (stabilized, low risk)8-12%7-10 years
Core-Plus10-14%5-7 years
Value-Add15-18%3-5 years
Opportunistic / Development18-25%+2-4 years
Single-Family Rental (SFR)10-16%5-10 years

IRR models equity return after debt service, not property-level return. Subtract your annual mortgage payments from NOI to get each year's cash flow. Use the Commercial Mortgage Calculator to find annual debt service, then subtract it from each year's NOI before entering it above. For deals where lenders require income coverage analysis, the DSCR Loan Calculator shows whether your NOI is sufficient to qualify for the loan.

IRR vs NPV: How to Use Both Metrics to Evaluate an Investment

IRR and NPV answer different questions. IRR tells you the annualized return rate, which is easy to compare to a hurdle rate or benchmark. NPV tells you the total dollar value added at a specific cost of capital. They often agree on whether to accept or reject a project, but they can conflict when comparing investments of different sizes or cash flow timing.

QuestionUse IRRUse NPV
Does this beat my hurdle rate?Yes, compare directlyIndirectly (positive NPV = yes)
Which investment creates more wealth?Can mislead on different sizesNPV is the right metric
Comparing investments of unequal size?Use with cautionMore reliable
Communicating return to investors?Standard for fund reportingLess intuitive for most
Irregular cash flow timing?Use XIRR variantDiscount at any rate

A 25% IRR on a $50,000 investment produces $12,500 in Year 1 profit. A 15% IRR on a $500,000 investment produces $75,000. The larger deal creates six times the wealth despite the lower percentage return. When capital allocation matters, always run NPV alongside IRR before making a final decision.

Common IRR Calculation Mistakes

Using IRR to compare investments of different scales
A 30% IRR on a $10,000 investment and a 15% IRR on a $1,000,000 investment are not equally attractive. The larger deal creates far more absolute wealth. IRR is a percentage, not a dollar amount, and it needs to be paired with investment size for capital allocation decisions.
Relying on IRR when cash flows change sign more than once
When a project has cash outflows that follow inflows (for example, a cleanup cost after revenue ends), there may be multiple mathematical IRR solutions. Using a single IRR number in this scenario is technically incorrect and can support a wrong decision.
Ignoring the implicit reinvestment rate assumption
IRR assumes all interim cash flows are reinvested at the IRR rate itself, which is often unrealistically high. Modified IRR (MIRR) corrects this by letting you specify a realistic reinvestment rate, and often gives a more conservative and accurate picture.
Comparing IRR across different time horizons without annualizing
A 40% IRR over 5 years and a 40% IRR over 2 years represent very different compounding outcomes. When comparing investments with different holding periods, use annualized returns or calculate NPV at the same discount rate.
Using IRR as the sole decision criterion when the hurdle rate changes
If the required return differs by year or by project phase, IRR gives one number that cannot capture that nuance. NPV at a variable discount rate is more appropriate when the cost of capital changes across the investment horizon.

Sources & References

1
Brealey, Myers & Allen: Principles of Corporate Finance (13th ed.)
McGraw-Hill: the standard graduate-level corporate finance text covering IRR, NPV, and MIRR methodology
2
Damodaran, A.: Investment Valuation
NYU Stern: Aswath Damodaran's valuation resources including IRR limitations and NPV-based alternatives
3
CFA Institute: CFA Program Curriculum: Corporate Issuers
CFA Institute: covers IRR, MIRR, NPV decision rules, and capital budgeting analysis
HR
Hassaan Rasheed
Developer and Researcher, CalculatorFlux

Researches and verifies the formulas, methodology, and source data behind each calculator on CalculatorFlux. All tools are built and checked against the cited references before publication.

Last updated: June 2026

Frequently Asked Questions

IRR is the discount rate r that satisfies: 0 = CF0 + CF1/(1+r) + CF2/(1+r)^2 + ... + CFn/(1+r)^n. There is no algebraic solution for most cash flow series, so IRR is found by iteration. The Newton-Raphson method is the standard approach: start with a guess, calculate NPV and its derivative, then adjust the rate until NPV converges to zero. Most solvers converge within 20-50 iterations.

More Finance Calculators

IRR Benchmarks
Investment TypeTarget IRR
Core real estate8-12%
Value-add real estate15-18%
Opportunistic real estate18-25%
Buyout private equity20-25%
Venture capital25-35%
S&P 500 (long-run avg)~10%
Pro Tip
Model two exit scenarios: selling at year 5 vs year 10. Long holds with low early cash flows often produce lower IRRs than shorter holds even if total profit is higher, because IRR penalizes slow returns. Total equity multiple and IRR together give a more complete picture.
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