Values across time · Week 05

Present value and discounting

Wrap up the institutional discussion and begin Lecture 5. Put values at different dates on the same clock and examine what the discount rate changes. The week ends with the discount-rate material.

Sep 21–25Lecture 5 · Present value + discount rateWeb Reading

Focus

  • Wrap-up of shared-aquifer institutions
  • Present value and compounding
  • Market interest rates and social discount rates

Prepare

  • Briefly review Lecture 4, pages 34–36
  • Read TL Chapter 6 and the resource-allocation web reading
  • Bring a calculator for the intertemporal examples

Practice

  • Design pumping, monitoring, and information rules
  • Compare values at different dates using present value
  • Explain how a higher discount rate changes the weight on future benefits

Guiding question

How can we compare benefits received today with benefits received by a later generation?

Learning targets

  • Explain why transaction costs, information, and enforcement can limit liability and regulation.
  • Design pumping and information rules for a shared aquifer.
  • Use present value to compare resource benefits across dates.
  • Explain how the discount rate affects the present value of future benefits.
  • Distinguish a market interest rate from a social discount rate.

Lecture slides

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Lecture 4 · Liability and Regulation Review Begin at page 34
Lecture 5 · Resource Allocation Over Time View slides

This week’s materials

TL refers to Tietenberg and Lewis, Natural Resource Economics: The Essentials, 2nd edition. Chapter numbers on this page follow that edition, not the larger Environmental and Natural Resource Economics textbook.

Reading: TL Chapter 6 — Dynamic Efficiency and Sustainable Development. For additional background on present value and discount rates, see the relevant sections of Chapter 3, Evaluating Trade-Offs: Benefit-Cost Analysis and Other Decision-Making Metrics. The web reading below provides worked examples.

Coming next

Week 6 develops the neodymium allocation model, user cost, scarcity rent, and Hotelling’s rule in Lecture 5. Classwork 5 and Homework 2 practice follow in Week 7.

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