Profitability Index Calculator
Calculate the profitability index (PI), present value of future cash flows and project NPV from periodic cash flows, or derive PI directly from a known NPV.
Discounted cash-flow detail
| Period | Cash flow | Discount factor | Present value |
|---|
Profitability index formula
Profitability index = present value of future net cash flows ÷ initial investment. With a known NPV, the equivalent formula is PI = 1 + NPV ÷ initial investment, because NPV equals the present value of future cash flows minus the initial investment. The same measure is sometimes called the profit investment ratio or value investment ratio.
For cash flow in period t, present value = cash flow ÷ (1 + discount rate)t. The calculator treats the initial investment as occurring at time zero and future entries as periods 1 through 60.
Verified example
| Input or step | Calculation | Result |
|---|---|---|
| Initial investment $10,000; rate 10%; future cash flows $5,000, $4,500 and $4,000 | $5,000 ÷ 1.10 + $4,500 ÷ 1.10² + $4,000 ÷ 1.10³ | PV $11,269.72 |
| Present value $11,269.72 | $11,269.72 ÷ $10,000 | PI 1.1270 |
| Project NPV | $11,269.72 − $10,000 | $1,269.72 |
| Target PI 1.20 | $10,000 × 1.20 | $12,000 required PV; $730.28 gap |
How to interpret the profitability index
- PI greater than 1: positive NPV under the entered discount-rate and cash-flow assumptions.
- PI equal to 1: zero NPV, before any omitted taxes, fees or risk adjustments.
- PI below 1: negative NPV under the assumptions.
Inputs, limits and assumptions
- The initial investment must be greater than zero. Future cash flows and known NPV may be positive, zero or negative.
- Amounts accept ordinary decimal notation, up to two decimal places and a magnitude no greater than 1,000,000,000,000. Scientific notation is rejected.
- Enter 1 to 60 future cash flows at equal intervals. The discount rate must be greater than or equal to −90% and no greater than 1,000% per period.
- The cash-flow frequency is a label only. Enter a discount rate that already matches the selected interval.
- The target PI is optional and may range from −100 through 100, with up to four decimal places.
- Use one currency and scale for all amounts. Currency selection changes formatting only.
- This deterministic model does not forecast cash flows or determine an investment decision. Taxes, inflation, financing, timing within periods and omitted cash flows can change the result.
Frequently asked questions
Is profitability index the same as NPV?
No. PI is a ratio of present value to initial investment, while NPV is an absolute currency amount. They use the same discounted cash-flow inputs but answer different questions.
Can the profitability index be negative?
Yes, if the present value of future net cash flows is negative. Conventional projects normally expect positive future net inflows, but the calculator permits signed future flows.
Should I accept every project with PI above 1?
No. PI above 1 only indicates positive modeled NPV under the inputs. Budget limits, project scale, strategic fit, risk, dependencies and alternative uses of capital still matter.
Related investment calculators
- NPV and IRR Calculator — evaluate a complete time-zero cash-flow series, IRR and payback.
- MIRR Calculator — separate finance and reinvestment-rate assumptions.
- WACC Calculator — estimate a discount-rate input from capital costs.
- ROI Calculator — compare undiscounted gain or loss with investment cost.