Explain net present value (NPV) and why it's used in project financing.

• A. NPV discounts future cash flows to present value minus initial investment; used to assess profitability considering time value of money.
• B. NPV ignores the timing of cash flows.
• C. NPV is the same as ROI.
• D. NPV measures only the asset's book value.

Answer: (A)

Net present value is a way to value a project by bringing all expected future cash inflows and outflows back to today’s dollars using a discount rate that reflects the cost of capital and the project’s risk. The key idea is that money now is worth more than money later, so future cash flows must be discounted before you compare them to the initial investment.

In practice, you calculate NPV as the sum of each future cash flow divided by (1 + r) raised to the number of years in the future, minus the initial investment. The discount rate r represents the opportunity cost of using capital for this project (and can reflect risk, inflation, and your desired return). A positive NPV means the project is expected to add value above the cost of financing it; a negative NPV means it would destroy value; zero means it just earns the required return.

This approach is particularly useful in project financing because it directly accounts for when money comes in and goes out, not just how much total cash is earned. It also provides a single dollar amount to compare different projects and to judge whether they meet the required return on invested capital.

For example, if you invest 1,000 today and expect 1,100 in one year with a 10% discount rate, the present value of that future cash is 1,100 / 1.10 = 1,000, so the NPV is 0 (just break-even). If the future cash is 1,200, the present value is about 1,090, and the NPV is about 90, indicating value creation.