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Internal Rate of Return (IRR)
Find the discount rate that makes NPV equal zero

Total upfront cost of the investment

Year 1
Year 2
Year 3
Year 4
Year 5

Expected net cash inflow for each year

IRR Decision Rule
IRR > Required ReturnAccept Project
IRR = Required ReturnIndifferent
IRR < Required ReturnReject Project
IRR Benchmarks

Real Estate

Typical IRR target: 8-12% for core assets, 15-20%+ for value-add projects

Private Equity

Target IRR usually 20-30%+, depending on risk and stage of investment

Corporate Projects

Minimum IRR often set at the company's WACC (Weighted Average Cost of Capital), typically 8-15%

IRR Formula

0 = -Investment + Sum of [CF_t / (1 + IRR)^t]

IRR is the rate (r) that makes the NPV of all cash flows equal to zero. It is solved iteratively using numerical methods like bisection or Newton-Raphson.

What is Internal Rate of Return (IRR)?

The Internal Rate of Return (IRR) is the discount rate at which the net present value (NPV) of all cash flows from an investment equals zero. It represents the expected annualized rate of return that an investment will generate over its lifetime. IRR is one of the most important metrics used in capital budgeting and investment analysis.

A higher IRR indicates a more desirable investment. When comparing multiple projects, the one with the highest IRR is generally preferred, provided it exceeds the company's minimum required rate of return (hurdle rate) or cost of capital.

IRR vs Other Investment Metrics

IRR vs NPV

NPV gives you the absolute dollar value created, while IRR gives you the percentage return. For mutually exclusive projects, NPV is preferred as it better reflects value creation. IRR is useful for quick comparisons and communicating returns to stakeholders.

IRR vs WACC

If the IRR exceeds the Weighted Average Cost of Capital (WACC), the project creates value for shareholders. The WACC serves as the hurdle rate - the minimum return the company needs to cover its cost of debt and equity financing.

Limitations of IRR

IRR assumes reinvestment at the IRR rate itself, which may be unrealistic. Non-conventional cash flows (alternating positive/negative) can produce multiple IRRs. In such cases, use Modified IRR (MIRR) or rely on NPV instead.

Tips for Using IRR Effectively

Always Compare to Your Hurdle Rate

An IRR of 15% means nothing without context. Compare it to your company's cost of capital or the return available from alternative investments of similar risk.

Use Realistic Cash Flow Projections

IRR is only as good as your cash flow estimates. Be conservative in your projections and consider running sensitivity analysis with different scenarios (optimistic, base, pessimistic).

Combine with NPV for Better Decisions

Use IRR for quick screening and comparison, but always confirm with NPV analysis. A project with a lower IRR but higher NPV may actually create more value for your business.

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