Time zero is the money you put in. Later lines are what comes back.
One period per line
Enter −10000, then 2500, 3000, 3500, 4000 if those are yearly cash flows and the first number is today’s investment. The IRR calculator finds the rate that makes the net present value zero. If the signs flip more than once, do not trust a single rate. Use NPV at the return you require.
Payback will say how fast the $10,000 comes back and will ignore the later years. For a project that pays for a long time after it has broken even, IRR or NPV is the adult version of the question.
Run the same question with your figures
IRR for a Small Project Starts with a Negative First Line points to the IRR Calculator because the note is about the rate that sets npv to zero. The form on that page asks for Cash flows, time zero first (-10000 2500 3000 3500 4000). Its opening example produces Internal rate of return is 10.48%. Use the article to see which piece of the payment, the tax, or the balance the heading is talking about. Use the calculator when you want the same relationship with your own inputs. The two pages are not copies of each other.
IRR for a Small Project Starts with a Negative First Line points to the Payback Period Calculator because the note is about years to earn the cost back, with a discount rate. The form on that page asks for Cash flow pattern (Fixed cash flow, with growth), Initial investment ($100,000.00), Cash flow per year ($30,000.00), Yearly increase (5%), Number of years (5). Its opening example produces Payback period is 3.156. Use the article to see which piece of the payment, the tax, or the balance the heading is talking about. Use the calculator when you want the same relationship with your own inputs. The two pages are not copies of each other.
How to read this note
IRR for a Small Project Starts with a Negative First Line is one question, not a plan for every account you own. The opening claim is this: Time zero is the money you put in. Later lines are what comes back. The sections above stay on that claim. They use a worked figure so the relationship is visible. A worked figure is not a prediction that your loan, your fund, or your tax year will match it.
Read the headings in order. One period per line. If a sentence names a calculator, that link is the place to change the inputs. If a sentence names a limit, the limit is the one published for the year written on the page, which is 2026 where this desk cites a retirement or tax figure.
A senior reading of a finance page looks for three things. The formula should match the labels. The example should be reproducible on the calculator. The page should say what it leaves out. This note tries to do those three. It does not tell you to borrow, to sell, to contribute the maximum, or to file a return from the illustration.
What the note leaves out
IRR for a Small Project Starts with a Negative First Line ignores facts it does not mention. Fees, state tax, a credit score, an employer match you have not typed, and a market that refuses to pay a flat rate are all outside the paragraph. When one of those facts is the actual question, open the calculator that asks for it or read the disclaimer before you move money.
Published 25 Oct 2026. If a public figure in the note is later revised by the IRS, a lender, or a data source, the calculator page and the methodology are the places this desk updates. The note does not store what you type, and it is not a message from a broker or a tax preparer.
Before you treat the example as yours
IRR for a Small Project Starts with a Negative First Line uses a specific illustration so the relationship is easy to see. The category is Business. The tools sitting next to the note are IRR Calculator, Payback Period Calculator. Open one of them, replace the example, and press Calculate if the decision in front of you depends on your balance, your rate, or your income. The article does not update itself when those facts change.
A careful reading checks three matches. The heading should be the question you have. The worked number should use inputs you can point to. The omitted items, named above, should be irrelevant or added back in a field. If any of the three fails, do not stretch the conclusion. Time zero is the money you put in. Later lines are what comes back.
Keep the note and the calculator apart in your notes. The note explains why the pieces move. The calculator shows how far they move once you type them. Publishing date 25 Oct 2026 is the version of the explanation you are reading. Public limits can change after that date, and the methodology is where this desk records the figures it is willing to stand behind.
FAQs
Can the first line be positive?
Only if time zero is money coming in, which is unusual for a project you fund. A positive first line and negative later lines describes a loan you made, or a sign error.
What is IRR for a Small Project Starts with a Negative First Line actually deciding?
Time zero is the money you put in. Later lines are what comes back.
Where do I put my own numbers?
Open IRR Calculator or Payback Period Calculator. The article’s example is already explained. The calculator is the place to change the fields and press Calculate.
Does the example include every fee and tax?
Only the pieces the note names. Anything missing from the example is missing from the result. Add it in the matching field or treat the figure as incomplete.
Is this a recommendation?
No. IRR for a Small Project Starts with a Negative First Line shows a relationship so you can see it. It is not advice to buy, sell, borrow, or contribute. The disclaimer states that limit in one place.