IRR Calculator
By Talcart · Last updated July 10, 2026
Initial investment (negative value)
IRR (Internal Rate of Return) Guide
Understanding IRR
Definition
- Rate that makes NPV of all cash flows equal to zero
- Higher IRR indicates better investment return
- Compare IRR to required rate of return
Formula
- Σ CFt / (1 + IRR)^t = 0
- Where: CFt = Cash flow at time t
- Example: -$1,000 initial + $500 yearly for 3 years
IRR Calculator
This IRR calculator finds the internal rate of return for any sequence of cash flows -- the annual compound rate at which the deal breaks even in present-value terms. Invest $10,000 today and receive $3,000 a year for 5 years, and the IRR is 15.24%. It is the standard yardstick for comparing projects, real-estate deals, and private investments.
Key facts
- An investment of $10,000 returning $3,000 at the end of each year for 5 years has an IRR of 15.24%.
- The classic textbook case -- pay $1,000 today, receive $500 a year for 3 years -- solves to an IRR of 23.38%.
- By definition, NPV computed at the IRR is exactly $0: IRR is the break-even discount rate.
What is the IRR Calculator?
Internal rate of return (IRR) is the discount rate that makes the net present value of a series of cash flows exactly zero. Intuitively, it is the effective compound annual return an investment generates on the capital actually deployed in it, accounting for both the size and timing of every inflow and outflow. In capital budgeting, a project is considered value-creating when its IRR exceeds the hurdle rate -- typically the firm's cost of capital -- and IRR is the money-weighted counterpart to time-weighted measures like CAGR.
How does the IRR Calculator work?
IRR solves the equation sum of CF_t / (1 + IRR)^t = 0, where CF_0 is usually the negative initial outlay. No closed-form solution exists for more than a few periods, so the calculator iterates -- typically bisection or Newton-Raphson -- adjusting the rate until NPV converges to zero. For -$1,000 followed by three annual inflows of $500, the solver settles at 23.38%: discounting $500 for one, two, and three years at that rate returns exactly the $1,000 invested. Cash-flow timing drives the result as much as magnitude.
What is the IRR Calculator formula?
- CF_t – cash flow at time t (negative for outflows)
- t – period index
IRR of a $10,000 Investment With Equal Year-End Cash Flows for 5 Years
| Annual Cash Flow | Total Received (5 yrs) | IRR |
|---|---|---|
| $2,200 | $11,000 | 3.26% |
| $2,400 | $12,000 | 6.40% |
| $2,600 | $13,000 | 9.43% |
| $2,800 | $14,000 | 12.38% |
| $3,000 | $15,000 | 15.24% |
| $3,200 | $16,000 | 18.03% |
How do you use the IRR Calculator?
- Enter the initial outflow (negative).
- Add each future inflow on its own row.
- Read the resulting IRR.
Worked example
| Scenario | −$1,000 today, +$500/year for 3 years |
| Calculation | Solve −1000 + 500/(1+IRR) + 500/(1+IRR)^2 + 500/(1+IRR)^3 = 0 |
| Result | IRR ≈ 23.4%. |
Common use cases
Tips & best practices
Multiple sign changes in the cash flow can produce multiple IRRs — fall back on NPV in that case.
Frequently asked questions
Any IRR above your opportunity cost of capital creates value; below it destroys value. A corporate project is typically screened against a WACC-based hurdle rate of roughly 8-12%, so a 15.24% IRR clears most hurdles comfortably. Context matters: an IRR that merely matches what a diversified index fund might deliver may not compensate for a deal's extra risk and illiquidity.
ROI measures total gain as a percentage of cost with no regard for time, while IRR annualizes the return and weights every cash flow by when it occurs. A deal that returns $15,000 on $10,000 has a 50% ROI whether it takes 2 years or 10 -- but its IRR differs enormously (about 22.5% versus about 4.1%). IRR is the honest comparison across different holding periods.
NPV expresses value created in dollars at a chosen discount rate; IRR expresses the break-even rate itself. They are two views of the same equation -- NPV is positive exactly when IRR exceeds the discount rate. For ranking mutually exclusive projects, NPV is more reliable because IRR can favor small, fast-payback projects that create fewer total dollars of value.
Yes. Whenever the cash-flow sequence changes sign more than once -- for example outlay, inflows, then a large closing cost -- the NPV curve can cross zero at multiple rates, per Descartes' rule of signs. A series like -$1,000, +$2,500, -$1,560 has two mathematically valid IRRs. In such cases NPV at your actual cost of capital, or the modified IRR (MIRR), gives the unambiguous answer.
If you invest $10,000 and collect $3,000 at the end of each year for 5 years with no resale value, the IRR is 15.24%. Drop the annual cash flow to $2,400 and IRR falls to 6.40%; raise it to $3,200 and IRR climbs to 18.03%. Any terminal sale proceeds in year 5 would push the rate higher still.
Implicitly, yes -- the compounding math treats each interim inflow as if it were reinvested at the IRR itself until the end, which flatters projects with very high IRRs. If you can realistically reinvest only at, say, 8%, the modified IRR (MIRR) compounds inflows at that rate instead and reports a lower, more conservative figure. Comparing IRR and MIRR is a quick sanity check on aggressive projections.