Scenario presets
Investment & Cash Flow Parameters
Capital Efficiency & Decision Metrics
Evaluating project...
- Profitability Index (PI)
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- Net Present Value (NPV)
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- Present Value of Inflows (PV)
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- Net Profitability Index (NPI)
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- Value created per $1.00 invested
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- Discounted payback period
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- Accept / Reject decision rule
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Discounted Cash Flow (DCF) Schedule
Annual cash flows, discounting factors, present values, and cumulative net balance.
| Period | Cash Flow ($) | Discount Factor | Present Value ($) | Cumulative Net DCF ($) |
|---|
Sensitivity Analysis 1: Initial Outlay vs. Discount Rate on Profitability Index (PI)
Project capital efficiency across capital expenditure variations and cost of capital shifts.
| Outlay \ Discount Rate | 6.0% | 8.0% | 10.0% (Base) | 12.0% | 14.0% |
|---|
Sensitivity Analysis 2: Annual Cash Inflow vs. Discount Rate on Net Present Value ($)
Dollar shareholder value creation across operating cash generation and hurdle rates.
| Annual Inflow \ Rate | 6.0% | 8.0% | 10.0% (Base) | 12.0% | 14.0% |
|---|
Formulas and worked example
- Present Value of Inflow ($PV_t$) = $\text{CF}_t / (1 + r)^t$
- Total Present Value of Inflows ($PV$) = $\sum_{t=1}^{n} \text{CF}_t / (1 + r)^t$
- Net Present Value (NPV) = $PV - \text{Initial Outlay} (I_0)$
- Profitability Index (PI) = $PV / I_0 = 1 + (\text{NPV} / I_0)$
- Net Profitability Index (NPI) = $\text{PI} - 1.0 = \text{NPV} / I_0$
- Decision Rule: Accept if $\text{PI} > 1.0$; Reject if $\text{PI} < 1.0$.
A manufacturing company evaluates a software automation upgrade requiring an initial capital expenditure of $100,000. The project generates $45,000 in operational cash savings annually for 5 years at a 10.0% corporate hurdle rate. The total present value of inflows equals $170,585.50, generating a Net Present Value of $70,585.50. The Profitability Index is $170,585.50 / $100,000 = 1.7059x. The Net Profitability Index is 0.7059x, confirming that each dollar invested generates $1.71 in total present value and creates 71 cents of net economic shareholder value.
Self-check quiz
1. What is the fundamental investment decision rule for the Profitability Index (PI)?
2. Under capital rationing (where a firm has a fixed CapEx budget ceiling), why is PI superior to NPV for ranking projects?
3. If a project has an initial cost of $200,000 and an NPV of $50,000, its Profitability Index (PI) is:
4. When a project's Net Present Value equals zero (earning exactly its required hurdle rate), its Profitability Index equals:
Frequently asked questions
What is the Profitability Index (PI) and what does it measure?
The Profitability Index (PI), also known as the value investment ratio or benefit-cost ratio, measures the present value of future cash inflows generated per dollar of initial capital invested. A PI greater than 1.0 indicates positive net present value (NPV) and shareholder wealth creation.
Why is Profitability Index preferred over NPV during capital rationing?
While Net Present Value (NPV) measures absolute dollar gains, it favors large-scale projects that absorb entire budgets. When a firm faces capital rationing (a fixed CapEx spending ceiling), ranking projects by Profitability Index identifies the combination of projects that generates the highest aggregate NPV per dollar of constrained budget.
What is the relationship between Profitability Index and Net Present Value?
Profitability Index directly links to NPV through the formula: PI = 1 + (NPV / Initial Investment). When NPV is positive, PI is greater than 1.0. When NPV equals zero (earning exactly the discount rate), PI equals 1.0. When NPV is negative, PI is less than 1.0, signifying capital destruction.
What is the Net Profitability Index (NPI)?
The Net Profitability Index (NPI) equals PI minus 1.0, which mathematically represents NPV divided by initial investment (NPV / I_0). NPI isolates the net profit generated per dollar invested, meaning an NPI of 0.35 represents 35 cents of pure economic net value created per dollar spent.