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Calculate the Internal Rate of Return (IRR %) for projects, investments, or business capital plans with periodic cash flows.
Add transaction period values to evaluate periodic internal rate of return
| Period | Cash Flow Type | Amount (₹) | Action |
|---|---|---|---|
| Initial (Period 0) | ₹ | ||
| Period 1 | ₹ | ||
| Period 2 | ₹ | ||
| Period 3 | ₹ |
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The Internal Rate of Return (IRR) is a primary financial metric used in capital budgeting to estimate the profitability of potential investments. It represents the annualized discount rate that makes the Net Present Value (NPV) of all cash flows (both positive inflows and negative outflows) from a particular project or investment equal to zero. Businesses use IRR to compare different capital expansion projects, while investors use it to measure returns on business holdings, real estate, and long-term asset structures.
The Internal Rate of Return is calculated by solving for r in the Net Present Value equation:
Where CF_t is the cash flow at period t (t = 0 is the initial outflow, t = 1, 2... are periodic returns/receipts), and r is the internal rate of return. Since this is a polynomial equation of degree N, the IRR is determined iteratively using mathematical approximation algorithms (like the Newton-Raphson method).
Example 1 (Business Investment): You start a project with an initial capital investment of ₹1,00,000 (Period 0). In Period 1, it yields ₹30,000; in Period 2, ₹40,000; and in Period 3, ₹50,000. Entering these values (₹-1,00,000 outflow, followed by inflows of ₹30,000, ₹40,000, and ₹50,000) yields an IRR of 8.90%.
Example 2 (Project Expansion): A company invests ₹10,00,000 in machinery. The machinery generates inflows of ₹4,00,000 in Year 1, ₹5,00,000 in Year 2, and ₹4,00,000 in Year 3. Entering ₹-10,00,000, followed by ₹4,00,000, ₹5,00,000, and ₹4,00,000 yields an IRR of 14.47%.
A: IRR assumes that all cash flows occur at equal, periodic intervals (e.g. exactly once a year or once a month). XIRR is an extension of IRR that supports cash flows occurring at completely irregular dates (e.g. Jan 15, May 20, Sep 10).
A: A negative IRR indicates that the sum of the positive cash flows is less than the initial investment, meaning the project generates an overall financial loss on an annualized basis.
A: In corporate finance, a project is typically accepted if its IRR is greater than the company's Cost of Capital (or Hurdle Rate). When comparing multiple projects, the one with the highest IRR is generally prioritized.