NPV Calculator
Calculate the Net Present Value (NPV) of an investment based on initial investment, cash flows, and discount rate.
NPV Calculator
Results
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About the NPV Calculator
The NPV Calculator helps you determine the Net Present Value of an investment by discounting future cash flows to their present value and subtracting the initial investment.
Formula: \( NPV = \sum_{t=1}^{n} \frac{CF_t}{(1 + r)^t} - C_0 \)
- Features:
- Input initial investment (negative value for cash outflow).
- Enter discount rate as a percentage.
- Input multiple cash flows separated by commas.
- Keypad includes digits, decimal points, and commas.
- Displays step-by-step NPV calculation.
- Clear and backspace functionality with a "Copy" button.
- Uses MathJax for professional rendering.
- Practical Applications: Useful for evaluating investment opportunities, capital budgeting, and financial planning.
- How to Use:
- Enter the initial investment (e.g., -1000 for $1,000 outflow).
- Input the discount rate (e.g., 5 for 5%).
- Enter cash flows separated by commas (e.g., 300, 400, 500).
- Use the keypad to input values.
- Click "Calculate" to compute NPV.
- Use "Clear" to reset or "⌫" to delete the last character.
- Use "Copy" to copy the result.
- Helpful Tips:
- Initial investment should be negative to represent cash outflow.
- Cash flows should be positive for inflows.
- Discount rate should be a non-negative percentage.
- Use commas to separate cash flow values (e.g., 300,400,500).
- Example:
- Initial Investment: -1000
- Discount Rate: 5%
- Cash Flows: 300, 400, 500
- Steps:
- Discount Factor for Year 1: \( \frac{1}{(1 + 0.05)^1} = 0.9524 \)
- PV of Year 1: \( 300 \times 0.9524 = 285.71 \)
- Discount Factor for Year 2: \( \frac{1}{(1 + 0.05)^2} = 0.9070 \)
- PV of Year 2: \( 400 \times 0.9070 = 362.80 \)
- Discount Factor for Year 3: \( \frac{1}{(1 + 0.05)^3} = 0.8638 \)
- PV of Year 3: \( 500 \times 0.8638 = 431.90 \)
- Total PV of Cash Flows: \( 285.71 + 362.80 + 431.90 = 1080.41 \)
- NPV: \( 1080.41 - 1000 = 80.41 \)
- Result: NPV = $80.41
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