Internal rate of return

IRR is the discount rate making NPV zero

The internal rate of return (IRR) is a financial metric used to evaluate the profitability of an investment. It represents the discount rate at which the net present value (NPV) of all cash flows (both incoming and outgoing) from a project or investment equals zero. This means that the investor's expected earnings from the investment are exactly equal to the money invested.

The IRR can be calculated using various methods, including trial and error or using financial calculators or software. It is a useful tool for comparing the profitability of different investments or projects. By comparing the IRRs of different investments, investors can determine which investment offers the highest rate of return.

Example

Suppose an investor has an opportunity to invest $10,000 in a project that is expected to generate $2,000 annually for 10 years. The IRR for this project can be calculated using financial software or a calculator. If the IRR is found to be 8%, it means that the investor's expected earnings from the project are 8% annually, making it a potentially profitable investment.

Understanding IRR helps investors make informed decisions about where to allocate their capital for maximum returns.

Related concepts

Net present value

NPV = Sum of discounted cash flows - initial investment

Risk-free rate

Risk-free rate inferred from zero-coupon Treasury bonds (T-bills)

Cronbach's alpha

Cronbach's alpha (α) measures internal consistency

Discount rate

Discount rate is the interest rate the Fed charges banks for emergency borrowing

Treynor ratio

Treynor ratio measures excess return per unit of systematic risk

Liquidity trap

Interest rates near zero lower bound

Educational content, not financial advice.

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