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Capital BudgetingDual Financial Solvers

Internal Rate of Return (IRR) Calculator

Calculate the annualized discount rate that makes the Net Present Value (NPV) of cash inflows and outflows equal to zero for both fixed recurring streams and uneven irregular capital projects.

Modify the values and click the Calculate button to use

• Module 1 (Fixed Cash Flow): Computes IRR when you have an initial investment, a fixed periodic withdrawal or deposit stream, and a final ending balance.

• Module 2 (Irregular Cash Flow): Solves IRR for uneven annual capital calls and distribution series, alongside an interactive NPV discount sensitivity curve.

IRR based on fixed cash flow

This calculator computes the IRR based on a fixed recurring cash flow or no cash flow.

$
$
years
months
$
Result
Internal Rate of Return (IRR)

30.05%

annualized return over 2.50 years
Total Cash Inflows:$18,000.00
Total Cash Outflows:$10,000.00
Net Profit / Gain:+$8,000.00

IRR based on irregular cash flow

This calculator computes the IRR based on the initial investment and subsequent annual cash flows. If you want to calculate the IRR for cash flows that are not annual, please use our Average Return Calculator.

$
Year 1:
$
Year 2:
$
Year 3:
$
Year 4:
$
Year 5:
$
Result
Internal Rate of Return (IRR)

12.45%

annualized return across 3 periods
Total Returned$70,000.00
Net Cash Flow+$20,000.00

NPV Sensitivity Curve ($ vs Discount Rate %)

IRR = 12.45% (NPV=0)
Financial Math Deep Dive

Understanding Internal Rate of Return (IRR)

Internal Rate of Return (IRR) is a core metric in corporate finance, private equity, and capital budgeting. It represents the annualized compound rate of return that equates the present value of future cash inflows with the initial capital outlay.

The Net Present Value Equation

NPV = Σ [ C_t / (1 + IRR)^t ] = 0

IRR is the exact discount rate at which the Net Present Value of all cash flows equals zero.

The Hurdle Rate Rule

If a project's IRR exceeds the company's cost of capital (or minimum hurdle rate), the investment generates economic value and is generally accepted.

Reinvestment Assumption

Standard IRR assumes all interim cash distributions can be reinvested at the same high IRR rate, which is why Modified IRR (MIRR) is sometimes used for conservative modeling.

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