Net Present Value — Lesson Plan and Worked Examples

Investing · Lesson Plan

Net Present Value

Net present value extends present value to whole projects: it’s the value of an investment’s expected future returns minus its cost, all in today’s dollars. This lesson develops NPV = PV − I, substitutes the multi-period present-value formula, and works through examples so students can evaluate whether a project adds value. It’s the core tool of capital budgeting.

Grades 11–12 / College Lesson Plan 45–60 minutes Free Lesson
Net present value lesson illustration

Lesson at a glance

Topic
Investing
Grade Level
Grades 11–12 / College
Resource Type
Lesson + Worksheet
Estimated Time
45–60 minutes
Format
Lesson + worked examples
Materials
Printable lesson, worked examples, calculator

Learning objectives

  • Define net present value
  • Derive NPV = PV – I from the present-value formula
  • Discount multi-period cash flows to today’s dollars
  • Evaluate whether a project has a positive NPV
  • Explain why positive-NPV projects add value

What you’ll need

  • Printed lesson with worked examples (one per student)
  • Calculator
  • Scratch paper
  • Whiteboard

Vocabulary

Net present value (NPV)
The present value of returns minus the cost of the investment.
Present value (PV)
Future cash flows expressed in today’s dollars.
Cost of investment (I)
What the project requires up front.
Cash flow
Money received in a given future period.
Discounting
Converting a future amount to its present value.
Capital budgeting
Deciding which long-term projects to fund.

Lesson plan

Estimated time: one 45–60 minute class period.

Lesson sequence

  1. Review (8 min). Recap present value from the prior lesson.
  2. Build NPV (15 min). Develop NPV = PV − I and substitute the multi-period PV formula.
  3. Worked examples (17 min). Discount each year’s cash flow and net out the cost.
  4. Decision rule (8 min). Positive NPV adds value; negative NPV destroys it.

Assessment

Assess the worked problems for correct discounting and a correct invest/reject decision.

Discussion questions

  • What is net present value?
  • How is NPV built from present value?
  • Why must each year’s cash flow be discounted separately?
  • What does a positive NPV tell you about a project?
  • Why is NPV central to capital budgeting?

Printable Lesson & Worked Examples

Net Present Value — Lesson & Worked Examples

A printable financial-math lesson developing the net-present-value formula from present value, with worked multi-period examples and the NPV decision rule.

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