What is profitability index?
Profitability index (PI), also called the benefit-cost ratio, compares the present value of future cash inflows to the initial capital investment. It is a capital budgeting tool used alongside net present value (NPV) and internal rate of return (IRR) to rank projects when capital is limited.
A PI above 1.0 means discounted inflows exceed the upfront cost, so the project adds value. For example, $260,000 in present value cash flows against a $200,000 investment gives PI = 1.3 and NPV = $60,000. Compare hurdle rates with the IRR calculator, measure absolute value creation with the net present value calculator, estimate recovery timing with the payback period calculator, and set the discount rate with the WACC calculator.
Profitability index formula
PI divides the present value of all future cash flows (PVCF) by the initial capital investment (ICI). When cash flows are already discounted to today's dollars, the formula is:
Net present value is the dollar surplus or shortfall after recovering the initial outlay:
Decision rules and project ranking
- PI > 1: Accept the project. Discounted inflows exceed the investment.
- PI = 1: Indifferent. NPV is zero at the chosen discount rate.
- PI < 1: Reject the project. The investment exceeds the value of discounted inflows.
When capital is constrained, rank mutually exclusive projects by PI to maximize value per dollar invested. PI and NPV usually agree on accept/reject decisions but PI is easier to compare across projects of different sizes.
Worked example
Suppose a manufacturing upgrade requires $200,000 upfront and is expected to generate cash flows with a present value of $260,000:
NPV = $260,000 - $200,000 = $60,000. Because PI exceeds 1.0, the project creates $0.30 of present value for every $1 invested and should be accepted if no better alternative exists.
Solve modes in this calculator
Use the solve-for toggle to find any one unknown when the other two values are known:
- Profitability index: Enter PV of cash flows and initial investment.
- PV of cash flows: Enter PI and initial investment (PVCF = PI × ICI).
- Initial investment: Enter PI and PV of cash flows (ICI = PVCF / PI).
Frequently asked questions
What is a good profitability index?
How is PI different from NPV?
Should cash flows be discounted before calculating PI?
Can PI be used for mutually exclusive projects?
Are results stored on the server?
Resources and references
The formulas and methods in this calculator were checked against these independent sources.