Present Value — Lesson Plan and Worked Examples

Investing · Lesson Plan

Present Value

Present value is the single most important idea in finance: a dollar today is worth more than a dollar tomorrow, because today’s dollar can be invested and earn interest. This lesson teaches the present-value formula using the discount factor and a comparable rate of return, then shows how present value decides whether an investment is worthwhile — leading directly into net present value.

Grades 11–12 / College Lesson Plan 45–60 minutes Free Lesson
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

  • Explain the time value of money
  • State and apply the present-value formula
  • Use the discount factor and a comparable rate of return
  • Decide whether an investment is worthwhile from its present value
  • Connect present value to net present value

What you’ll need

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

Vocabulary

Present value (PV)
What future income is worth in today’s dollars.
Time value of money
The principle that money today is worth more than money later.
Discount factor
The reciprocal of one plus the rate of return.
Rate of return
The percentage gain expected on a comparable investment.
Cash flow
Money received from an investment in a future period.
Net present value (NPV)
Present value minus the required investment.

Lesson plan

Estimated time: one 45–60 minute class period.

Lesson sequence

  1. The big idea (10 min). Why a dollar today beats a dollar tomorrow — the time value of money.
  2. The formula (15 min). Build PV = discount factor × C₁ and work the $5,000-in-one-year example.
  3. Is it worth it? (12 min). Use present value to judge an investment’s cost vs. worth.
  4. Bridge to NPV (8 min). Introduce NPV = PV − required investment with the worked example.

Assessment

Assess practice problems for correct present-value calculations and sound invest/don’t-invest decisions.

Discussion questions

  • Why is a dollar today worth more than a dollar a year from now?
  • What does the present-value formula calculate?
  • How does the rate of return affect present value?
  • How do you use present value to decide whether to invest?
  • How does present value relate to net present value?

Printable Lesson & Worked Examples

Present Value — Lesson & Worked Examples

A printable financial-math lesson on present value and the time value of money, with the present-value formula and worked invest/don’t-invest examples.

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