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Irr Calculation Calculator

IRR Formula:

\[ \sum_{t=0}^{n} \frac{CF_t}{(1 + IRR)^t} = 0 \]

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1. What is Internal Rate of Return (IRR)?

The Internal Rate of Return (IRR) is the discount rate that makes the net present value (NPV) of all cash flows equal to zero in a discounted cash flow analysis. It's commonly used to evaluate the profitability of potential investments.

2. How Does the Calculator Work?

The calculator uses the Newton-Raphson method to solve the IRR equation:

\[ \sum_{t=0}^{n} \frac{CF_t}{(1 + IRR)^t} = 0 \]

Where:

Explanation: The equation finds the rate where the sum of discounted cash flows equals the initial investment.

3. Importance of IRR Calculation

Details: IRR is crucial for capital budgeting decisions, comparing investment opportunities, and assessing project viability. A higher IRR generally indicates a more desirable investment.

4. Using the Calculator

Tips: Enter cash flows as comma-separated values (first value is typically the negative initial investment). Optionally provide an initial guess (default is 10%).

5. Frequently Asked Questions (FAQ)

Q1: What's a good IRR value?
A: Generally, an IRR higher than the cost of capital is desirable. The exact threshold depends on industry standards and risk factors.

Q2: What are IRR limitations?
A: IRR assumes reinvestment at the same rate, may have multiple solutions, and doesn't account for project scale.

Q3: How does IRR compare to ROI?
A: ROI shows total return percentage, while IRR calculates annualized return considering time value of money.

Q4: What if my IRR can't be calculated?
A: Some cash flow patterns have no IRR. Try adjusting your initial guess or checking for data errors.

Q5: Should I always choose the highest IRR?
A: Not necessarily. Consider other factors like project size, risk, and duration. NPV is often used alongside IRR.

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