Equipment purchase: $100k machine with steady cash flows
A small manufacturer is evaluating a CNC machine that costs $100,000, is expected to generate $30,000 per year in net cash flow for 5 years, and will be scrapped at the end with no salvage value. The company's cost of capital is 10%.
ResultNPV is about $13,724, Payback Period is 3.33 years, Profitability Index is about 1.14, and the decision is Accept.
Each year's $30,000 inflow is discounted back to today: $30,000 / 1.10, $30,000 / 1.10^2, and so on through year 5. The sum of those present values is roughly $113,724. Subtract the $100,000 initial investment to get NPV ≈ $13,724. Because NPV > 0 and PI > 1.0, the project clears the 10% hurdle and creates value.
Factory expansion with salvage value
A mid-size firm considers a $500,000 production-line expansion expected to generate $150,000 per year for 6 years, with an estimated $50,000 salvage value when sold. Management uses a 12% discount rate to reflect the project's moderate risk.
ResultNPV is about $142,044, Payback Period is 3.33 years, Profitability Index is about 1.28, and the decision is Accept.
Discounted operating cash flows total about $616,712 (the 6-year annuity factor at 12% is roughly 4.111). The salvage value of $50,000 in year 6 is worth about $25,332 today. Total PV of inflows is about $642,044; subtract the $500,000 outlay for NPV ≈ $142,044. Strong positive NPV plus a PI well above 1.0 makes this a clear accept.
Long-lived asset with conservative discount rate
A utility is evaluating $250,000 of grid equipment with a long 8-year service life, expected to deliver $60,000 per year in net cash flow and a $20,000 salvage value. Because the cash flows are highly predictable, an 8% discount rate is used.
ResultNPV is about $105,603, Payback Period is 4.17 years, Profitability Index is about 1.42, and the decision is Accept.
The 8-year annuity factor at 8% is about 5.747, so the $60,000 yearly inflows have a present value near $344,798. The $20,000 salvage discounted 8 years at 8% is worth about $10,805. Total PV of inflows ≈ $355,603; subtract the $250,000 cost for NPV ≈ $105,603. Lower discount rate and longer life amplify the impact of stable cash flows.