Definition
Net Present Value (NPV)
The difference between the present value of an investment's future cash flows and its initial cost, both measured using the investor's required rate of return as the discount rate. NPV = Present Value of Future Cash Flows − Initial Investment Cost. A positive NPV means the investment is expected to earn more than the required return; a negative NPV means it costs more than it is worth; a zero NPV means the investment earns exactly the required return.
An investment costs $10,000 today and is expected to pay $4,000 per year for 3 years. Discounted at a 6% required return, the present value of those cash flows is $10,692, giving an NPV of +$692. Because the NPV is positive, the investment is expected to earn more than the 6% required return and should be accepted.
A zero NPV does not mean zero profit. It means the investment earns exactly the discount rate used to calculate it, no more and no less. Also commonly mixed up: NPV is expressed in dollars, while IRR is expressed as a percentage, and it is NPV (not IRR) that is the preferred decision method when the two disagree on mutually exclusive projects.
How is Net Present Value (NPV) tested on the exam?
- Calculating NPV from a series of cash flows, a discount rate, and an initial investment cost
- Applying the accept/reject decision rule based on whether NPV is positive, negative, or zero
- Explaining what a zero NPV actually means (exactly the required return, not zero profit)
- Choosing between NPV and IRR when the two methods disagree on mutually exclusive projects
- Distinguishing NPV's dollar output from IRR's percentage output
Calculation example
Calculation Example
NPV = Present Value of Future Cash Flows − Initial Investment Cost - Discount the Year 1 cash flow: $4,000 / 1.06 = $3,774
- Discount the Year 2 cash flow: $4,000 / (1.06)^2 = $3,560
- Discount the Year 3 cash flow: $4,000 / (1.06)^3 = $3,358
- Total present value of cash flows: $3,774 + $3,560 + $3,358 = $10,692
- NPV = $10,692 (present value of cash flows) − $10,000 (cost) = +$692
Picture NPV as a bathtub: the present value of future cash flows pours in, the cost of the investment drains out. Whatever's left in the tub is the NPV. Above the drain line is profit (accept); below it, you're underwater (reject).
Practice questions
Test your understanding with the questions below. Pick an answer to reveal the explanation.
An investment adviser representative is evaluating a client's proposed real estate investment. The project requires a $50,000 outlay today, and the present value of its projected cash flows, discounted at the client's 8% required rate of return, comes to $46,500. Based on the NPV decision rule, what should the adviser recommend?
B is correct. NPV = $46,500 − $50,000 = −$3,500. A negative NPV means the investment costs more than the present value of what it returns, so it's expected to earn less than the client's 8% required rate of return and should be rejected.
A is incorrect because the question doesn't establish whether raw cash flow is positive; NPV, not cash flow alone, is the decision criterion. C confuses the size of the discount rate with the decision rule; the discount rate alone doesn't determine accept or reject. D introduces a factor, typical investment size, that has no bearing on the NPV rule.
The Series 65 exam tests whether you can apply the NPV accept/reject rule directly from present value and cost figures without being distracted by irrelevant details in the scenario.
Net present value (NPV) represents the difference between which two values?
A is correct. NPV = Present Value of Future Cash Flows − Initial Investment Cost. It measures whether an investment creates or destroys value by comparing what the cash flows are worth today against what the investment costs.
B describes a bond-pricing relationship, not NPV. C describes a capital gain or loss calculation. D describes the real rate of return calculation, an unrelated concept.
NPV questions on the Series 65 exam frequently hinge on this exact definition. Confusing NPV with a bond-pricing or capital-gain concept is a common wrong-answer trap.
An investment costs $10,000 today and is expected to generate cash flows of $4,000 per year for 3 years. If the required rate of return is 6%, the net present value of this investment is closest to:
C is correct. Discounting each $4,000 cash flow at 6% gives present values of $3,774, $3,560, and $3,358 (totaling $10,692). NPV = $10,692 − $10,000 = +$692.
A reverses the sign, as if the cost exceeded the present value of cash flows. B would only be correct if the required rate of return exactly equaled the investment's IRR. D simply subtracts the cost from the sum of undiscounted cash flows ($12,000 − $10,000), ignoring the time value of money entirely.
NPV calculation questions are common on the Series 65 exam. The most frequent error is forgetting to discount each year's cash flow individually before summing them.
All of the following statements about net present value (NPV) are accurate EXCEPT
C is correct (the EXCEPT answer). NPV assumes interim cash flows are reinvested at the discount rate (the required rate of return), NOT at the internal rate of return. That reinvestment-at-IRR assumption belongs to IRR, not NPV, and is one of the reasons NPV is considered the more realistic method.
A is accurate: NPV is a dollar figure. B is accurate: positive NPV signals the investment earns more than required, so it should be accepted. D is accurate: NPV is the preferred tiebreaker when NPV and IRR disagree on mutually exclusive projects.
Mixing up NPV's and IRR's reinvestment assumptions is one of the most common Series 65 traps in this topic. Knowing which method assumes what is essential for answering conflict-resolution questions correctly.
An analyst calculates a project's NPV at +$18,000 using the firm's 7% required rate of return. Which of the following statements are accurate?
1. The project is expected to earn more than 7%
2. The project should be accepted
3. The project's IRR must be exactly 7%
4. The $18,000 figure represents value created in today's dollars
C is correct. Statements 1, 2, and 4 are accurate.
Statement 1 is TRUE: a positive NPV at a 7% discount rate means the project earns more than 7%. Statement 2 is TRUE: positive NPV means accept. Statement 3 is FALSE: a positive NPV means the IRR is above 7%, not exactly 7% (an IRR of exactly 7% would produce an NPV of $0). Statement 4 is TRUE: NPV expresses the dollar value created, in today's dollars, above and beyond the required return.
This question tests whether you understand the relationship between NPV and IRR at the required rate of return, not just the isolated definitions. A positive NPV tells you the IRR exceeds the discount rate; it doesn't tell you the IRR equals the discount rate.
Where does Net Present Value (NPV) appear on the Series 65 exam?
This term is tested in the following Series 65 exam topics: