Financial Management

Internal rate of return (IRR)

What you will learn

Imagine turning a dial that changes the rate used to value future payments. IRR is the setting where the future payments are worth exactly what you spend today. The percentage helps describe a project, while NPV tells you how many rupees it adds at your chosen hurdle.

Read the full lesson guide

At IRR, net present value = 0
IRR is the discount rate that makes the present value of all project cash flows add up to zero. For a project with one initial payment and later positive cash flows, compare IRR with the required return. If two projects are mutually exclusive, compare the rupee value each adds at a suitable rate. Cash flows that switch signs several times can produce several IRRs. Pay ₹100 today and collect ₹120 in a year. The IRR is 20% because ₹120 ÷ 1.20 equals ₹100.
Pay ₹100 today and collect ₹120 in a year. The IRR is 20% because ₹120 ÷ 1.20 equals ₹100.
IRR is the discount rate that makes the present value of all project cash flows add up to zero. For a project with one initial payment and later positive cash flows, compare IRR with the required return. If two projects are mutually exclusive, compare the rupee value each adds at a suitable rate. Cash flows that switch signs several times can produce several IRRs. Pay ₹100 today and collect ₹120 in a year. The IRR is 20% because ₹120 ÷ 1.20 equals ₹100.

What does IRR make equal to zero?

Full lesson guide

How the idea works

IRR is the discount rate that makes the present value of all project cash flows add up to zero. For a project with one initial payment and later positive cash flows, compare IRR with the required return. If two projects are mutually exclusive, compare the rupee value each adds at a suitable rate. Cash flows that switch signs several times can produce several IRRs.

IRR
The rate at which the project breaks even in present-value terms.
Mutually exclusive projects
Alternatives where choosing one rules out doing the other.

Apply it to a decision

Fictional example · Rank two mutually exclusive machine upgrades

A costs ₹1 lakh and returns ₹1.4 lakh in a year. B costs ₹5 lakh and returns ₹6.5 lakh in a year. The business can do either project and uses a 10% hurdle.

Which has the higher IRR and which adds more value?

  1. Set up the problem. For one year, divide proceeds by cost and subtract one. IRR is 40% for A and 30% for B.
  2. Work it out. A adds ₹1.4 ÷ 1.10 − ₹1 ≈ ₹0.27 lakh. B adds ₹6.5 ÷ 1.10 − ₹5 ≈ ₹0.91 lakh.
  3. Read the result. Choose B if both are feasible and the 10% rate fits both risks. It adds more rupees even though A earns the higher percentage.

Before you use it

Use NPV to rank mutually exclusive projects at an appropriate hurdle.

Common mistake. A higher IRR can come from a small project that creates less total value.

Read or watch next

MIT OpenCourseWare video · Capital budgeting
Part II compares IRR with other ways of judging a project.

Topic cheat sheet

Core idea
Explain what IRR measures and when NPV gives a better ranking.
Formula or rule
At IRR, net present value = 0
IRR is the discount rate that makes the present value of all project cash flows add up to zero. For a project with one initial payment and later positive cash flows, compare IRR with the required return. If two projects are mutually exclusive, compare the rupee value each adds at a suitable rate. Cash flows that switch signs several times can produce several IRRs. Pay ₹100 today and collect ₹120 in a year. The IRR is 20% because ₹120 ÷ 1.20 equals ₹100.
How to approach it
Use NPV to rank mutually exclusive projects at an appropriate hurdle.
Common mistake
A higher IRR can come from a small project that creates less total value.
Interview recall prompt

Why can two projects be ranked differently by NPV and IRR?

Try the worked case