NPV (Net Present Value) Calculator
NPV = sum of discounted future cash flows minus initial investment. Positive NPV = accept project.
Result
NPV
$44,433.75
Positive โ accept project.
- Initial investment$100,000.00
- Discount rate10.00%
- Cash flows$20,000, $30,000, $40,000, $50,000, $60,000
- Sum of discounted CFs$144,433.75
- NPV$44,433.75
Strongly value-creating โ clears 25% of initial outlay in NPV
NPV at chosen rate
Discounted cash flows minus initial investment.
$44,433.75
Undiscounted nominal sum of inflows
What you would pocket if money had no time value โ overstates real return.
$200,000
Profitability Index (PV inflows รท outlay)
PI > 1 โ NPV > 0; useful for ranking capital-rationed projects.
1.444
Sensitivity: NPV at +200 bps discount rate
How quickly the verdict flips under modest rate movements.
$36,066
Not financial advice โ NPV is only as good as the cash-flow forecast and the discount rate. Run sensitivity analysis at ยฑ100-200 bps and stress-test terminal-period assumptions. For projects with sign changes mid-life, also compute MIRR โ IRR can be undefined or multi-valued.
Step-by-step
- NPV = -100000 + ฮฃ CF_t / (1+0.1)^t.
- Year 1: 20000 / (1+0.1)^1 = 18,181.82.
- Year 2: 30000 / (1+0.1)^2 = 24,793.39.
- Year 3: 40000 / (1+0.1)^3 = 30,052.59.
- Year 4: 50000 / (1+0.1)^4 = 34,150.67.
- Year 5: 60000 / (1+0.1)^5 = 37,255.28.
- NPV = -100000 + 144,433.75 = $44,433.75.
How to use this calculator
- Enter discount rate.
- Enter initial investment as a positive number.
- List annual cash flows (year 1, year 2, โฆ) separated by commas.
About this calculator
Net Present Value sums the discounted future cash flows of a project and subtracts the initial investment. NPV > 0 means the project earns more than the required return โ accept. NPV < 0 means it earns less โ reject. The discount rate is typically WACC (for corporate projects) or required return (for individual investors).
Frequently asked
Money today is worth more than money tomorrow โ risk, inflation, opportunity cost. The discount rate quantifies these.
Related calculators
Present Value Calculator
PV = FV / (1 + r)^n. The current worth of a future cash flow.
IRR (Internal Rate of Return) Calculator
IRR = the discount rate that makes NPV = 0. Solved numerically via Newton's method.
MIRR (Modified IRR) Calculator
IRR with explicit reinvestment-rate assumption. Avoids the multiple-IRR problem.
Profitability Index Calculator
PI = (NPV + initial) / initial = PV of future flows / initial investment. >1 = accept.
Payback Period Calculator
How many years until cumulative cash flows equal the initial investment.
Discounted Payback Period Calculator
Years for discounted cash flows to recoup initial investment. Time-value-aware variant of payback.