Can a project have more than one IRR?
Yes. Multiple sign changes in cash flows can create multiple real IRR roots.
Finance Calculator
Internal Rate of Return Calculator
Solve the discount rate where NPV equals zero and clearly disclose when nonconventional cash flows create multiple IRRs.
Last reviewed: June 22, 2026Finance planning method set v1.0.0: NPV, IRR, inflation, retirement, annuity, deposit, savings-goal and credit-card payoff formulasLocal calculations
What the Internal Rate of Return Calculator does
Internal Rate of Return Calculator gives a deterministic estimate from the assumptions entered. It solves rates for periodic cash-flow series and flags multiple-root situations.
How to use the Internal Rate of Return Calculator
Enter the assumptions, choose Calculate, then review the result card, visual comparison, detailed table, warnings and CSV export.
- Currency changes formatting only.
- Rates are annual percentages unless a field says otherwise.
- Results are planning estimates, not official product quotes or recommendations.
Formula or engine
IRR solves 0 = sum(CF_t / (1 + IRR)^t). The solver scans deterministic brackets and applies bisection.
Variables
Common variables include PV for present value, FV for future value, r for rate, t for time, CF for cash flow, PMT for payment, and n for number of periods.
Timing assumptions
Period 0 means today or the start of the scenario. Beginning-of-period contributions are applied before growth; end-of-period contributions are applied after growth.
Calculation steps
NexaCalc validates inputs, converts rates to the stated period convention, runs the deterministic engine, rounds only for display, and uses the same result for tables and CSV export.
Result interpretation
IRR is the rate that makes modeled NPV equal zero. Multiple roots should be reviewed instead of selecting one automatically.
Worked examples
Cash flows -100, +230 and -132 have two IRRs, about 10% and 20%.
A conventional -1,000 then +1,100 one period later has one IRR of about 10%.
Scenario sensitivity
Small changes in discount rates, inflation, payments, fees or timing can materially change the result, especially over long horizons.
When to use another tool
Use a more specific calculator when you need a dedicated retirement drawdown, credit-card payoff, deposit maturity or recurring savings-goal estimate.
Limitations
IRR can be missing or non-unique for nonconventional cash flows. MIRR is intentionally not included in this phase.
Privacy and performance
The calculator runs locally in the browser, does not store financial inputs, does not create accounts and does not fetch live rates.
Financial disclaimer
This calculator provides mathematical estimates for general education and planning. It is not financial, investment, tax, legal, lending, pension or retirement advice.
Frequently asked questions
What if no IRR is found?
The calculator reports no real IRR instead of returning 0% as a fallback.
Is the Internal Rate of Return Calculator a financial recommendation?
No. It is a deterministic calculation from the assumptions entered and does not recommend any product, investment, lender, retirement age or payment strategy.
Does changing currency convert values?
No. Currency selection changes the display format only and does not use exchange rates.
Are taxes included?
No. Jurisdiction-specific taxes, deductions and benefits are intentionally excluded.
Are live rates or market data used?
No. The calculator does not fetch live rates, CPI data, market prices, deposit rates or issuer terms.
Why can official documents differ?
Official documents can include exact dates, legal disclosure rules, fees, allocation rules, product terms and rounding conventions not known to a general calculator.
Does NexaCalc save my inputs?
No. This calculator runs locally and does not create saved plans, portfolios, accounts or stored card balances.
What does CSV export include?
CSV export uses the same schedule rows generated for the displayed result, so tables and exports stay aligned.
What precision strategy is used?
The shared engine uses Decimal.js for financial math and rounds values only for display and export.
References
- Investor.gov, Compound Interest Calculator and investor education source family. Source.
- Consumer Financial Protection Bureau, credit-card consumer tools and payoff education source family. Source.
- Social Security Administration, Retirement Estimator official retirement-planning source family. Source.
- Electronic Code of Federal Regulations, Regulation Z source family for credit disclosures. Source.
- FDIC, Truth in Savings Act / Regulation DD source family for deposit APY and disclosure context. Source.
- U.S. Securities and Exchange Commission investor education source family for investment assumptions and fees. Source.
Finance Phase 3 reference families reviewed against official consumer-finance, investor-education, retirement and regulatory source labels on June 22, 2026.
Financial disclaimer
Actual returns, inflation, fees, pension rules, deposit calculations, credit-card interest, payment allocation and retirement outcomes may differ from the assumptions entered. Review official product documents and consult qualified professionals before making a financial commitment.