Financial Benefits and ROI in Six Sigma: Hard vs Soft Savings
A Six Sigma project is a business investment. The sponsor approves it because the expected benefit beats the cost of the team's time, the equipment and the disruption, and Finance confirms at the end whether that benefit actually arrived. A Black Belt has to speak that language: which savings count, how money over time is valued, and how a project is judged against the organization's hurdle rate.
What the exam expects
Financial measures sit under business measures (II.C) of the 2022 CSSBB Body of Knowledge. Expect to calculate net present value (NPV), return on investment (ROI) and payback, decide whether a project clears a hurdle rate, interpret internal rate of return (IRR), and classify a benefit as hard or soft.
Key concepts
- Hard savings change the profit-and-loss statement or a budget line: less scrap material bought, lower overtime, a cancelled outside-service contract, reduced warranty cost. They can be traced to the ledger.
- Soft savings are real but do not directly lower spending: capacity freed but not redeployed or removed, faster cycle time with the same cost base, better customer satisfaction, many forms of cost avoidance. Finance decides the classification; some organizations count specific avoidances as hard.
- Present value: PV = CFt ÷ (1 + r)t, where r is the discount (hurdle) rate set by Finance, usually tied to the cost of capital.
- NPV = sum of discounted future cash flows − initial investment. Accept if NPV > 0 at the hurdle rate.
- IRR: the rate at which NPV = 0. Accept if IRR exceeds the hurdle rate.
- Simple payback = investment ÷ annual net cash flow. Easy to explain, but it ignores the time value of money and every cash flow after the payback point. Discounted payback uses PVs instead.
- ROI (simple form) = (total benefit − total cost) ÷ total cost. Definitions vary between organizations, so always state the formula used.
Worked example: fixture and training project
A project needs $120,000 now (a new fixture plus operator training). Finance agrees an estimate of hard savings of $50,000 per year in scrap and overtime for four years. The hurdle rate is 10%. The project also frees half of an inspector's time, but nobody is reassigned and no cost leaves the budget.
| Year | Cash flow | Discount factor at 10% | Present value | Cumulative PV |
|---|---|---|---|---|
| 0 | −120,000 | 1.0000 | −120,000.00 | −120,000.00 |
| 1 | 50,000 | 0.9091 | 45,454.55 | −74,545.45 |
| 2 | 50,000 | 0.8264 | 41,322.31 | −33,223.14 |
| 3 | 50,000 | 0.7513 | 37,565.74 | 4,342.60 |
| 4 | 50,000 | 0.6830 | 34,150.67 | 38,493.27 |
Reading it: the project clears the hurdle comfortably. Sensitivity matters, though: if the savings lasted only three years, NPV would fall to $4,342.60, which is still positive but thin. At a 25% hurdle rate the same cash flows give NPV = −$1,920, consistent with an IRR just under 25%.
Where the numbers come from in DMAIC
Define carries an estimate in the charter's business case, often built from the cost of poor quality. Measure confirms the baseline the savings are computed against. Improve refines the estimate with pilot data. After Control, Finance validates actual savings against that baseline over a period it defines, and only then does the project report them as realized.
Common exam traps
- Adding soft savings into hard-savings totals or into the NPV.
- Discounting the year-0 investment, or using (1 + 10) instead of (1 + 0.10).
- Picking the project with the shortest payback when the question asks which creates the most value. NPV is the value measure.
- Assuming ROI and NPV always rank projects the same way. A small project can have a higher ROI and a lower NPV.
- Claiming savings before the process is stable and Finance has validated them, or counting the same savings in two projects.
Check yourself
- Same project, 25% hurdle rate: accept or reject? (Reject: NPV is about −$1,920 because IRR, about 24.1%, is below 25%.)
- An improvement frees 300 hours of technician time, and the technicians stay on payroll doing other work. Hard or soft? (Soft, unless Finance agrees a cost actually left the budget.)
- Why is discounted payback always longer than simple payback for positive future cash flows? (Each future inflow is worth less once discounted.)
- What is the PV of $50,000 received in year 3 at 10%? (50,000 ÷ 1.103 = $37,565.74.)
Related: Cost of quality · Project charter · Define tollgate
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