APEC 3611w: Environmental and Natural Resource Economics
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  1. 4. Macro Goals
  2. 12. GDP and Discounting
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  • Syllabus
  • Assignments
    • Assigment 01
    • Assigment 02
    • Weekly Questions 01
    • Weekly Questions 02
    • Weekly Questions 03
    • Weekly Questions 04
    • Weekly Questions 05
  • Midterm Exam
  • Final Exam
  • 1. Global Context
    • 1. Introduction
    • 2. The Doughnut
  • 2. Micro Foundations
    • 3. The Microfilling
    • 4. Supply and Demand
    • 5. Surplus and Welfare in Equilibrium
    • 6. Optimal Pollution
  • 3. Market Failure
    • 7. Market Failure
    • 8. Externalities
    • 9. Commons
  • 4. Macro Goals
    • 10. The Whole Economy
    • 11. Sustainable Development
    • 12. GDP and Discounting
    • 13. Inclusive Wealth
    • 14. Fisheries
  • 5. Climate Change
    • 15. Climate Change
    • 16. Social Cost of Carbon
    • 17. Climate IAMs
    • 18. Air Pollution
    • 19. Water Pollution
  • 6. Natural Resources
    • 20. Non-renewables
    • 21. Will we run out?
    • 22. Fisheries
    • 23. Forestry
    • 24. Land as a resource
    • 25. Land-use change
  • 7. Natural Capital
    • 26. Ecosystem Services
    • 27. Valuing Nature
    • 28. Biodiversity
    • 29. GIS and Carbon
    • 30. Sediment Retention
    • 31. Ecosystem Tradeoffs
  • 8. Future Scenarios
    • 32. Uncertainty
    • 33. Possible Futures
    • 34. Positive Visions
  • 9. Policy Options
    • 35. Policy Analysis
    • 36. Market Policies
    • 37. Real World Policies
  • 10. Earth Economy Modeling
    • 38. Earth Economy Models
    • 39. Gridded Models
    • 40. EE in Practice
  • 11. Conclusion
    • 41. What Next?
  • Games and Apps
  • Appendices
    • Appendix 01
    • Appendix 02
    • Appendix 03
    • Appendix 04
    • Appendix 05
    • Appendix 06
    • Appendix 07
    • Appendix 08
    • Appendix 09
    • Appendix 10
    • Appendix 11
    • Appendix 12

On this page

  • Resources
  • Content
    • Review of Key Concepts from Guest Lecture
      • Gross Ecosystem Product
      • The Sustainability Paradox
    • Why GDP Is a Good Metric
    • Why GDP Is a Bad Metric
      • Flow Versus Stock
      • Counting Bads as Goods
      • Ignoring Non-Market Production
      • Silent on Distribution
      • Natural Capital Is Included Wrongly
    • The Importance of Time in Evaluating GDP
      • GDP Is Bad Even for People Who Hate the Environment
    • The Discount Rate
      • Definition and Formula
      • Negative Interest Rates
    • Why People Discount
      • Pure Time Preference
      • Investment Opportunity Cost
      • Growth and Intergenerational Equity
    • The Impact of Different Discount Rates
      • Numerical Example
      • Implications for Future Investments
    • Utility Maximization Dynamic Game
      • Game Overview
      • Scenario 1: Static Optimization
      • Scenario 2: Investment and Growth
      • Scenario 3 and Beyond: Incorporating Discounting
    • Conclusion
  • Transcript
  1. 4. Macro Goals
  2. 12. GDP and Discounting

GDP and Discounting

Stocks vs Flows and why Time Matters

Resources

Slides 12

Content

Review of Key Concepts from Guest Lecture

Gross Ecosystem Product

The guest lecturer discussed GEP, or gross ecosystem product, which involves examining not just what the economy produces, but also what the environment produces for us that is of value to us. This concept is both very new and growing in popularity. To provide context, GEP is one of the three legs of a major grant proposal with a preliminary commitment of $1.5 million in funding. This funding supports research assistants, graduate students, and various other expenses. The GEP concept has practical applications and is gaining traction in the field, which is why the guest lecture was necessary while funding arrangements were being finalized.

The Sustainability Paradox

The guest lecturer also discussed the sustainability paradox, which questions whether economic growth and sustainability can coexist. Key tensions were identified where growth improves welfare, connecting back to previous discussion of the circular growth diagram and how GDP grows as investment in capital stock increases. The tension arises because this growth uses resources, causes pollution, and creates all the environmental challenges that motivate environmental economics as a field.

Why GDP Is a Good Metric

Before examining the downsides of GDP, it is worth acknowledging why GDP has value as a metric. There are two main reasons GDP is useful. First, people like to consume things. People like electricity, fancy cars, and other goods. The entire basis of utility maximization is premised on the idea that more consumption is always good. Second, GDP growth can address equity concerns. If GDP growth is targeted to low-income countries, it can help level out some of the inequity in the world. In other words, allowing Gambia to grow its GDP addresses important equity concerns.

Why GDP Is a Bad Metric

Flow Versus Stock

A fundamental issue with GDP centers on the fact that GDP is a flow, not a stock. A flow is a value that occurs every time period. Income is an example of a flow since a paycheck arrives every pay period and new income constantly flows in. A bank account is a stock, and the income flows into the account and hopefully grows the size of that stock, depending on spending.

This distinction matters because people often incorrectly think that the flow value is what matters most. It feels good to cash a paycheck and see a big increase in available spending. Humans may have an inherent tendency to focus on the flow.

However, when a big medical bill comes due or an unexpected expense arises, what matters is the stock, not the flow. The bill is paid from the bank account stock. It does not matter if the flow is higher than the payment needed if the stock does not currently have sufficient funds. There are ways to convert between flow and stock, such as payment plans that spread costs over several months, but ultimately the stock is generally more important to actual well-being.

GDP is no different and only measures the flow of economic productivity, not the overall wealth of society.

Counting Bads as Goods

One major downside of GDP is that it counts all sorts of things that would intuitively be considered bad as goods because they represent spending.

When a hurricane hits a coastal community, floods the levees, causes people to vacate their houses, destroys communities, and leaves people unable to move back in, this feels like a bad thing. But the hurricane increased GDP. This happens because suddenly there is tremendous demand for rebuilding those houses. The hurricane led to a big burst in the flow variable, the production of new houses. But it simultaneously resulted from the hurricane eliminating much of the stock of those houses. This creates a paradox where hurricanes are good for GDP even though they seem bad. This reflects a fundamental conflict between production and well-being.

Other examples include medical costs from illness, which represent positive GDP. Going to the emergency room and receiving expensive emergency procedures will increase GDP, but the patient certainly did not want that to happen. Similarly, pollution cleanup costs money, which is a bad thing, but it drives up GDP.

Ignoring Non-Market Production

GDP ignores a great deal of valuable activity. Anything that is non-market production never enters into the calculation of gross domestic product. This is straightforward: GDP is defined as the price of something that has been produced multiplied by the quantity produced. If something never enters a market and is never traded, there is no price.

Household labor is an example. Unless payment is made for formal market services like house cleaning, the substantial time spent cleaning houses does not get measured in GDP, even though it certainly has some impact on well-being. There is considerable disagreement about how much this matters, as some people are not bothered by messy houses while others have welfare greatly affected by messiness.

Ecosystem services also are not measured in GDP. Clean skies and a beautiful mountain vista with a clear view to a shining lake are really valuable, but there is no price on them, or at least not a price on all of these values. If only GDP is considered, these things do not matter.

It might be argued that people pay money to travel to scenic spots. That travel spending will register in GDP. The park entrance fee will count. But these market valuations are almost always a huge underestimate of the full value.

Volunteering is another example of non-market activity. From a GDP perspective, volunteering is worthless. This demonstrates that people are not truly rational utility maximizers, because if they were, volunteering would be the worst thing to do. A rational utility maximizer would be wasting time giving well-being to somebody else. This pokes fun at standard economic assumptions, because something does drive people to want to do volunteer work and it feels good. Utility functions are wrong without somehow addressing this.

Silent on Distribution

GDP is silent on distribution. If GDP were used as a metric in a society where a Julius Caesar type figure owned 95 percent of the wealth and all the rest of the population owned a tiny amount, summing up total productivity would essentially mean counting how many expensive bottles of caviar Julius Caesar consumed as the main component of GDP.

If that unequal society has more total production value than a society where everybody has an equitable share and everyone is doing well, GDP as a metric would say the Julius Caesar example economy is better. But this feels wrong. There are very strong reasons to think it is not correct. Highly unequal societies can experience other bad outcomes such as revolutions, wars, and peasant uprisings throughout history. Inequality is by itself potentially a bad thing.

Natural Capital Is Included Wrongly

Natural capital will be emphasized heavily throughout the rest of this course. But even natural capital itself is included in GDP wrongly. It is not just ignored but is actually counted incorrectly when the previous problems are combined.

If timber is harvested and all forests are cleared through deforestation, that is good for GDP because timber was produced. But the challenge is that it reduces the forest stock. Even ignoring everything else, less timber will be available in the future.

The same applies to oil. Extracting it is great for GDP in the short run, but then less is available in the future. Fishing, climate stability, and many other natural resources have the same problem.

The Importance of Time in Evaluating GDP

GDP Is Bad Even for People Who Hate the Environment

There is another important reason why GDP is a bad metric that many people do not appreciate. GDP is bad as a metric even from the perspective of someone who does not care about the environment at all.

Suppose someone truly assigns a zero value to beautiful vistas, fishing, hunting, or anything else the environment provides. Suppose this person literally only cares about economic production. Who is this person? It is someone who maximizes utility, exactly the type of person being discussed in standard economics.

As soon as a new element is added, namely time, that alone is sufficient to show that GDP as a flow variable is a bad metric. Nothing about the environment is needed for this conclusion, just time itself.

What if this selfish person that does not care about the environment considered burning everything down in the first period? What about the next period? Even without caring about the environment, this person probably cares about consumption not just right now but also in the next time period, and the period after that.

Standard economics, ignoring environmentalism, immediately moves into incorporating time through net present value, or NPV. Any accounting course covers NPV as one of the first topics. When choosing whether to invest a large amount of money in a project that will pay out value far in the future, consideration must be given not just to how much it pays out 30 years from now, but to the net present value of that future payment.

The key insight is that a million dollars 30 years from now is not worth as much as a million dollars right now. Things in the future are worth less than things in the present, assuming a positive interest rate. But the future cannot be ignored entirely. Just because something is not being consumed today does not mean it is worth nothing.

Even someone who only cared about GDP would not want to just maximize GDP in the first year. What such an anti-environmentalist would really want to maximize is the net present value of the flow of GDP over time.

The Discount Rate

Definition and Formula

The discount rate is central to accounting courses and has connections to important variables like the interest rate and mortgage rates that matter in everyday life. In the environmental context, the discount rate will be used in new circumstances beyond mortgage payments, such as trying to determine the optimal amount of climate change to allow or the optimal number of species to let go extinct.

The discount rate, or some understanding of how much the future matters relative to the present, may be the most important number for the fate of the world. This is not entirely a joke. What should be done about the climate crisis depends entirely on the discount rate.

The discount rate is a relationship between present value and future value. It links these values over time according to an assumption about how much different values matter, comparing the present value to the future value, using the variable R for the discount rate.

The equation is straightforward. The present value of some investment choice equals the future value divided by the quantity one plus R raised to the power of T, where T is the number of time periods. For example, the present value of building a factory that does not start producing until year 10 would convert the future value, say a million dollars, to present value by dividing by one plus the discount rate raised to the 10th power.

If R is zero, then one plus zero equals one, and one raised to any power stays one. At a discount rate of zero, future value equals present value. This would be the unusual case where it does not matter whether the million dollars is received right now or 10 years in the future.

With a higher discount rate, such as 3 percent or 0.03, the denominator would be 1.03 raised to the power of the number of years. For each additional year into the future, this denominator gets bigger and bigger, so the future value is divided by a larger number, meaning it is worth less.

The intuition from this equation is that a dollar today is worth more than a dollar tomorrow, because a positive interest rate makes the future worth less.

Negative Interest Rates

Negative interest rates do occur in practice, typically when policymakers are trying to promote economic growth. The assumption that R must always be positive may be too strong. There are observations in real life and hypothetical situations where a negative discount rate could apply.

Another example would be if the apocalypse is known to be coming; it would make sense to spend everything now rather than wait for the future. In general, however, for business investment decisions like whether to buy a new factory, companies always have a positive interest rate and positive discount rate because they have impatient stockholders that want their return on investment now rather than in the future.

Why People Discount

Pure Time Preference

The first reason people discount is pure time preference. Independent of investment opportunities or other factors, people simply prefer things now. A famous experiment tried to establish the time preference rate for toddlers.

In this experiment, a toddler of about two or three years old is placed in a room and given a marshmallow. The child is told they can eat this marshmallow, but if they wait 10 minutes while alone in the room and the marshmallow is still there when the experimenter returns, they will receive three marshmallows. The experiment tracks which toddlers decide they want the marshmallow now even though they know more marshmallows will come later.

The videos of these experiments are entertaining because the toddlers struggle intensely, sitting on their hands, trying not to look at the marshmallow, hiding from it, and putting things on top of it to resist the urge to consume the treat. The toddlers clearly understand they will get more sugar later if they wait, but something causes them difficulty. Their mouths are salivating and basic human instincts are not good at thinking far into the future when a tasty morsel is right in front of them. People prefer consumption now rather than later, and this can be observed repeatedly.

Pure rate of time preference is isolated from other factors. It represents just the preference for having the marshmallow now versus in the future.

Investment Opportunity Cost

Even if someone did not care about when they received money, a profit-maximizing person would still prefer a million dollars right now over a million dollars 10 years from now. The reason is that other things could be done with the money besides investing in a specific factory.

Alternative uses include paying off student loans, buying stocks, or putting money in a bank to earn interest. Having a million dollars now means it can be placed in whatever financial instrument is available. Paying off student loans immediately reduces future payments. Investing generates a return on investment from the bank.

This reflects an opportunity cost of not investing. If funds are used elsewhere, there is a cost to not putting them in a direct return option.

Growth and Intergenerational Equity

Dynamic elements of growth also affect discounting. If a future generation is much richer than the present generation, a dollar to them is not worth as much. This reflects the law of diminishing marginal utility. If the future is expected to be exponentially richer, there is a question of whether saving money for ultra-wealthy interplanetary species descendants makes sense when that money could instead provide electricity to Gambia today.

This cuts both ways, however. What if the future is much worse? Spending a dollar on a trivial luxury today might seem unfair if 100 years from now descendants will be living in climate catastrophe-induced poverty. Those future generations could actually use that dollar much better.

Intergenerational inequality aspects come into play. How much people care about future value depends in part on how much they care about their grandchildren. Someone who really cares about grandchildren, even potential future grandchildren, wants the world to be a nice place for them. This changes behavior now.

Current actions like investing in children’s college funds reflect this concern for future generations being better off, with the hope that they can in turn help their own grandchildren. Most people show some degree of caring about future generations. If there is care for grandchildren or other people’s grandchildren, the discount rate will differ. Value going to grandchildren will be worth a little bit more, which is reflected by having a discount rate that is a little bit less, making future value worth more.

The Impact of Different Discount Rates

Numerical Example

Different discount rates drastically affect what environmental policies are optimal. Consider $1,000 received in 100 years. What would the present value be today?

The equation is: present value equals $1,000 divided by one plus R raised to the 100th power.

With R equal to 1 percent, or 0.01, raising 1.01 to the 100th power and dividing $1,000 by that result gives $369 today. The value decreased, but $369 is still a reasonable investment.

With a 5 percent discount rate, the same calculation results in $7.60.

The same investment option with different interest rates and time preferences produces a huge difference. The further into the future, the more this difference amplifies exponentially.

Implications for Future Investments

With a high discount rate, almost no investment in the future is worth it. A project that saves humanity from climate change with outcomes 100 times better 100 years from now might still not be worth doing with a big discount rate. It will fail a cost-benefit analysis because according to discounting logic, large future values shrink to tiny numbers in present value terms.

This is especially important for climate economics. Much of the answer to what should be done for climate change depends entirely on the discount rate and nothing else. This is somewhat depressing because the discount rate is a value reflecting how selfish or not people are, rather than some sort of optimal value that can be figured out objectively.

Utility Maximization Dynamic Game

Game Overview

To illustrate discount rate concepts, an interactive game demonstrates utility maximization over time. The game involves making consumption choices in each time period, and total utility is summed over 12 periods.

Scenario 1: Static Optimization

The first scenario reviews static optimization. This is a reminder of how to optimize consumption choices over time. The indifference curve should be tangent to the budget constraint to get maximum utility. Points inside the budget constraint are feasible but produce less utility than optimal. Points outside are not affordable. Instead of toggling X and Y goods, clicking selects the consumption levels of good X versus good Y.

Market news drives changes in the game environment. Tariff rates change, income goes up from raises, prices change affecting the budget constraint slope, competitors enter the market benefiting consumers, car repairs reduce income, health kicks change preferences, and supply shortages reduce utility like the COVID shock affecting toilet paper availability.

The winning strategy is getting as close as possible to where the indifference curve is tangent to the budget constraint, being both on the line and in the right spot.

Scenario 2: Investment and Growth

The second scenario adds the option of lower consumption in one period, which is bad for current utility, but allows investment. Money not spent goes into the bank and earns interest, returning that amount plus 20 percent additional money in the next period as a higher budget.

This scenario is more interesting because it requires thinking about optimal investment strategy. The same series of shocks occur as in the first scenario.

The winning strategy involves going to zero or very low consumption early to build up the budget substantially, then switching to spending as much as possible in later periods. If zero consumption continued until month 12, utility would be zero, which is not worthwhile. At some point, switching to high spending maximizes total utility across all periods.

Scenario 3 and Beyond: Incorporating Discounting

The second scenario was somewhat unfair because it included the positive aspects of investing but left out an important element. The fact that money in the future has less value, and that not spending anything at all would mean starvation, was not included. The discount rate that adds this realism will be incorporated in additional scenarios.

Conclusion

This lecture introduced inclusive wealth concepts and examined GDP as a metric in detail. Key limitations of GDP were identified, including its nature as a flow variable, its counting of bads as goods, its ignoring of non-market production, its silence on distribution, and its incorrect treatment of natural capital. The concept of discounting was introduced as essential for thinking about time and environmental decisions. The discount rate emerges as perhaps the most important number for environmental policy, particularly for climate economics, even though it reflects values about selfishness and care for future generations rather than objective optimization.

Transcript

All right, let’s gedt started. Welcome to Lecture 13, where we talk about inclusive wealth.

As for our agenda, I want to pick up on where Famara left off, and I actually want to start with a discussion, partially to get me back up to speed, but also just to return to some of those concepts. And I guess I’m previewing here what those three discussion questions might be of what stood out in his lecture: Can economic growth continue forever? And can economic growth and sustainability coexist? So we’ll return to those in a second.

But then we’ll talk about the downsides of GDP. We’ve alluded to that, it was central in what Famara talked about, but now we’re going to give it a little bit more specificity. Then we’re going to talk about how we can think about GDP as a metric, as well as alternative metrics to GDP, and think about them over time. And so that’s going to look at different metrics such as gross ecosystem product, which was mentioned briefly, and inclusive wealth. But then we’re also going to dive into a really critical concept called discounting, or using the discount rate.

Okay, so just quickly picking up on some of the key points that Famara raised. He did talk about GEP. This is gross ecosystem product, where essentially we’re going to be looking at not just what the economy produces, but also what the environment produces for us that is of value to us. And I just want to give some context on this particular thing, and how it’s actually both very new and growing in popularity. Here’s a slide from where I was on Monday.

Very boring slide, obviously, it’s just a picture of our plans going forward. But two things to notice is GEP here is one of the three legs of this stool holding up this grant that we’re proposing, and with this basic idea. We have already got a preliminary commitment to $1.5 million of money, and so that’s kind of cool. It pays for research assistants, graduate students, all sorts of stuff like this, but basically, the GEP concept, I understand before I talked about it a little bit, we’ll talk about it more today, like, it’s got legs, it’s going somewhere. So, that’s why I had to have a guest lecture, because we were figuring out how to fund this, which is most of what I do.

The other thing Famara talked about was the sustainability paradox about whether economic growth and sustainability can coexist. And he talked about some of the key tensions where growth improves welfare. And that’s sort of a shout-back to what we were doing before his lecture, where we were talking about the circular growth diagram and how it shoots off GDP in a growing manner as you continue to invest more and more in your capital stock. But the tension, of course, being that this has all sorts of challenges in terms of it uses resources, it causes pollution, etc., all the reasons we’re in this class here.

But I actually want to ask a little bit more about how that discussion went in this class. Now that you’ve had some time to brainstorm a little answers to these, I’d like to open up again. Starting with, just first off, what were the key elements of that lecture that stood out to you? Was he a good presenter?

Student responses

He had a picture of one of the conferences he’s been to, and so it was interesting just to get the perspective from his home country that has people who are affected by all these things and aren’t getting any of the benefits of electricity and things like that, but are reaping the consequences of it. So it was cool to see that perspective, because we don’t always get that here.

Side note, he’s probably the person that you’ve now met that is most likely to be a president of a country. I swear he’s gonna be a president of the Gambia someday. He’s just a rock star there. Any other reactions? Did he talk about GEP a little bit? How much did he spend on that?

Okay, great, that’s perfect then. But, okay, so the real, more important questions: I’d love to hear your opinions. Can economic growth continue forever? What do you think? What are some conclusions on this?

Student response: I think that our population has grown a lot the past 200 years, and I think that with that population growth, we’ve seen also a large economic growth. I think at some point we’ll run out of resources on Earth, along with human capital, so I think that there is a point in which economic growth just stops, or starts slowing down, starts going down.

Okay. There’s finite capacities, finite resources, essentially. What’s your thought?

Student response: We can increase the lifespan, sort of the rate of economic growth that everybody makes. I think that if we don’t do that, and we just continue at this rate, we’re probably going to reach a sort of a cap. Like medieval societies, where it basically was capped with economic growth and capability. It certainly didn’t grow at the same rate as now, but it’s still likely to grow.

I like that point about the interplanetary species. I love science fiction. I’m right now reading Project Hail Mary. Anybody read that? Good science fiction. But yeah, right now, 100% of our GDP is produced on Earth. I guess we have astronauts on the International Space Station, but they’re not really producing GDP.

Student response: I think at some point, we always fall apart. You have to reach 100% efficiency at some point, and when you reach that point as well, it won’t drop, but we won’t be getting more support.

Excellent. Any other thoughts? What is causing the growth to happen, though? Because we’ve seen a lot of economic growth in the last 200 years. The medieval thing aside, it had been stable, but since the Industrial Revolution, it’s been skyrocketing. And so that’s two, three hundred years is not an insignificant period. What’s been causing that, fundamentally?

Student response: Technology.

Yeah, exactly. It’s like starting with the steam engine, right? Suddenly, we had a new resource that we could use, the energy stored in coal and dinosaurs — not really dinosaurs, but the question is, will that outpace the fact that we are indeed running out of resources? I don’t know, if we become an interplanetary species, and now we have a ton of different planets from which to draw resources, well, that would surely extend our resource base for a very long time, so I don’t know.

What about this sustainability paradox? Do we think that, given that it seems like there are these limits to growth, at least in our current state of technology and advance, is there a fundamental conflict between economic growth and sustainability, or could they coexist? Or in other words, did he have a good argument that sustainable development is possible? I’m curious what you all think. Is it possible?

Student response: I think they could coexist. On the economic growth side, I don’t think sustainability can work with that growth that fast, so I agree it’s gonna even out and become more constant, and then sustainability can kind of work with that.

Student response: I would say it’s a mix. I think some countries have to stop, and other countries need to grow. Right now we’re so uneven, where some countries can’t keep going, because that’s just gonna make everyone worse off. So that’s like that Pareto efficiency, where we don’t have that anymore. Some people are gonna have to increase, while others aren’t getting worse off.

Yeah, and that’s why I love having Famara in the discussion, because he really talks about the point of view of should Gambia not have electricity? That doesn’t seem too fair. We certainly have a lot of electricity, and so if we talk about limiting growth, that could mean, if we do it in a dumb way, that for some reason, Gambia doesn’t get to have electricity. That doesn’t feel right either.

Student response: It’ll eventually reach a point where being sustainable becomes impossible.

Student response: It’s like almost consumption for the sake of consumption, rather than for actually producing value.

Yeah, great point.

Cool. This is a fundamental question. We’re sort of transitioning in the class right now from reviewing some of the basic tools to starting to apply those and ask the hard questions. And so I think we’re going to keep returning to this, and we’re going to learn a few more tools today, actually, that are useful for describing this exact question.

And it’s all gonna center around the question of GDP. Is it a good metric? Well, I think we’ve sort of already got an answer. It must be the circular flow diagram with growth. It’s so beautiful, right? No, I mean, I talk about econ because it’s a really powerful tool. I do think that’s really powerful because people in The Gambia do want economic growth and electricity, but now we’re going to start to transition a little bit in this class to say, just watching this GDP number tick up, wasn’t that satisfying as the arrows grew thicker and we were making more and more money? Just that alone is not a good metric.

And so, let’s talk through why that might be. I’m gonna skip why is it a good metric, but just to make that point, there’s two ways of thinking about it. GDP is good because, number one, people like to consume things. People like electricity, people like fancy cars. The whole basis of utility maximization is premised on this idea that more consumption is always good. So that’s the first reason, but the second one is the equity one, is GDP growth, if you have it targeted to low-income countries, can also help us level out some of the inequity in the world. So, in other words, let Gambia grow their GDP. So I won’t spend much time on that.

Instead, I want to talk about why GDP is a bad metric. Did he say anything about this? Not a ton? Okay, so we’re gonna break this down. I saw on his slides just a little bit, but it’s worth knowing a few key concepts about GDP.

And a lot of this is going to center on the fact that GDP is a flow, not a stock. Flow versus stock, those kind of are what they sound like, but in economic terms, a flow is a value that you have happen every time period. And so, my income is a flow. Every two weeks I get a paycheck, and a new bit of income comes in, so income is constantly flowing in. My bank account is a stock. And so, yeah, they’re related. The income flows into my account and it grows the size, hopefully, of that stock. Of course, it depends on how much I spend.

This matters because oftentimes we will incorrectly think that the flow value is what matters. And that’s easy to think about, like, when you’re looking at your financial well-being, it’s kind of fun to cash that paycheck, right? It just feels good, like, suddenly you get a big blip up in how much you can spend. Maybe it’s a human thing to really want to focus on the flow.

But ultimately, if you have a big medical bill come due, or an unexpected expense, does the flow matter, or does the stock matter? How do you pay that bill? The stock, right? Does your credit card have enough in the bank account to pay that? It doesn’t really matter if the flow is higher than the payment you need to make. If the stock doesn’t currently have it, you’re going to get into trouble. There might be things like lending and those pay over the months, like Affirm or some of those other ones, where you can pay over the next 6 months or something like that. So there are ways to sort of massage one into the other, but ultimately, the stock, generally, is the one that matters more to your actual well-being.

GDP is no different, and it’s going to be measuring just the flow of economic productivity, and not the overall wealth of the society. And so, the downsides of this is, number one, GDP will count all sorts of things that we would intuitively think of as bad — I’ll just call them bads — as goods, because they actually represent spending.

So what is an example of this? When we have a hurricane hit a coastal community, and it floods the levees in Louisiana or something like that, and causes people to vacate their houses and destroy communities, and they still haven’t moved back in, does that feel like a good thing or a bad thing? Bad thing, right? But you know what it did? It increased GDP.

And why is that? It’s because suddenly there’s a ton of demand for rebuilding those houses. And so, the hurricane led to a big burst in the flow variable, the production of new houses. But it simultaneously was the result of the fact that this hurricane had just eliminated a bunch of the stock of those houses. And so, this is kind of a paradox. Hurricanes are good for GDP, even though it seems like a bad. That’s just this fundamental conflict between production versus well-being.

A few other ones: medical costs from illness. That is positive GDP. So if you go to the emergency room and they have to pump you full of expensive emergency procedures, that will increase GDP. But I bet you didn’t want that to happen. And same thing with pollution cleanup for this class. It costs money to clean up pollution, which is a bad thing, but it means that it’s gonna drive up GDP.

So that’s the first one, the first real criticism. I guess I’ll number them: the flow means we’re counting bad things as good things.

The second one: it ignores a lot. I’ll just summarize it that way. But anything that is a non-market production is never going to be entered into the calculus of gross domestic product. And why is that? Well, it’s really simple. GDP is defined as the price of something that has been produced multiplied by the quantity that has been produced. But if it never enters a market, and it’s never traded, there’s no price.

And so, household labor, unless you’re paying for something on the formal market of, like, house cleaning services, the fact that we spend a fair amount of time cleaning up our house, that definitely doesn’t get measured in GDP, but it certainly has some impact on our well-being. Although there’s huge disagreement about how much it matters. I’m a really messy person. And so, my welfare is not lowered that much by having a messy house. Whereas it turns out my wife, her welfare is greatly affected by my externalities of leaving the microwave all trashed, and stuff like that.

There’s some complexity there. But the point being is that nothing about this matters to GDP. And anything else that doesn’t go through, like ecosystem services, which is where we’re going, also will not be measured at all in GDP. And so, if you have clean skies, and you have a beautiful mountain vista that you can see all the way to the shining lake, that’s really valuable to you. But there’s no price on it, or at least not a price on all of it, and so it doesn’t matter if you care about just GDP.

You might argue that, well, people pay money to go travel to that spot. Yeah, that will register. The fact that you paid the park entrance fee will count in GDP, but these are almost always, and consistently are, and we’ll talk a lot about this, a huge underestimate of the full value.

Also volunteering. Does anybody here volunteer? It’s worthless. I’m just kidding. From a GDP perspective, it’s worthless, though. And that just shows that we’re not really rational human beings, because if you were truly rational, volunteering is the worst thing you could do, right? Maximizing your utility? Well, what are you doing? You’re wasting your time giving well-being to somebody else? That’s irrational.

I’m obviously sort of making fun of the standard economic assumptions, because something about us does indeed drive us to want to do volunteer work. It feels good, right? So, our utility functions are wrong without somehow addressing that.

Being a little bit glib, but the last one is that it’s silent on distribution. So, if you were to use GDP as a metric, and you were to have a society where you had a Julius Caesar type of figure that owns 95% of the wealth, and all the rest of the population owns just a tiny amount. If you just summed up the total productivity, what would that mean? It would be like taking account of how many expensive caviar bottles did Julius Caesar eat, essentially, would be the main component of GDP at this point.

If that has more total production value than one in which everybody has an equitable share, maybe there’s some difference in how rich people are, but everybody is doing well, if that produces just a little bit less, GDP as a metric would say the Julius Caesar example, that economy is better, but it just feels wrong. And there’s very strong reasons to think that it isn’t correct. It actually sort of ties back to these, but also just the fact that if you do have a really unequal society, other bad things can happen. Like, for instance, revolutions, or wars, or all sorts of things that we see throughout history causing peasant uprisings in medieval times. It’s by itself potentially a bad thing.

Okay. We’ll be emphasizing heavily natural capital throughout the rest of this course, right? That’s sort of the framing that we have. But even natural capital itself is included in GDP wrongly. So not just that it’s ignored, but if you kind of combine these different variables, 1 and 2 combine together to give us some examples that show it’s ill-suited to measure the environment.

If we have something like timber, and we cut down all our forests, deforest everything. Well, that’s good, right? It increases GDP, we got a bunch of timber. But the challenge is, it will reduce the forest stock. So now we have less — even if you don’t care about anything else, it means we’ll have less timber in the future. And same thing with oil. Extracting it is great for GDP in the short run, but then we have less in the future. And fishing, climate stability, all of these things.

What I want to illustrate, though, is with these, a really key critical point that I think many people don’t appreciate: there’s a whole other bucket of why GDP is bad. GDP is bad even as metric for — even if you hate the environment. And so, let’s talk through what I mean about this.

Suppose you truly assign a zero value to beautiful vistas, or fishing, or hunting, or anything else that the environment provides. Suppose you literally only cared about economic production. So, who is this sociopath? It’s somebody who maximizes utility, so it’s exactly who we’ve been talking about.

But basically, suppose you’re this type of person that only cares about how much you can consume. What I’m gonna argue, though, is as soon as you add a new element — time — that alone, nothing about the environment, but just time itself, adding that into the utility maximization question is enough to show that GDP, a flow variable, is a bad metric.

And so, what if you are this selfish person that doesn’t care about the environment? Would you want to burn it all down on the first period? Well, what about the next period? Even if you don’t care about the environment, you probably care about your consumption not just right now, but your consumption on the next time period, and the next time period.

And so, the standard economics, ignoring environmentalism, immediately moves into incorporating time by net present value. NPV. Just take an accounting course or anything like that. Yeah, NPV probably was one of the first things you learned, right? If you’re going to have a choice of investing a bunch of money right now in a project that will pay out value way down the line, you have to consider not just how much it pays out 30 years from now, but the net present value of that.

And the sort of punchline is that a million dollars 30 years from now is not worth as much as a million dollars right now. So, in other words, things in the future are worth less than things in the present. But we can’t ignore it. Just because we have something not being consumed today doesn’t mean it’s worth nothing.

Okay, and so even if you only cared about GDP, you would not want to just maximize GDP in the first year. What you’d really want to maximize if you were this anti-environmentalist is the net present value of the flow of GDP over time.

But how do we talk about this? That’s going to be the discount rate. So if you do take these accounting courses, you learn about the discount rate, and you learn about its connection to things like the interest rate, and these really important things, like, what’s the interest rate on your mortgage? These are real important variables in your day-to-day life if you happen to have a mortgage.

But let’s be a little bit more specific, because in this context of the environment, we’re going to use it in a lot of new circumstances, not just about your mortgage payments, but trying to think about what’s the optimal amount of climate change to allow, or what’s the optimal amount of species to have go extinct.

We’re gonna see that the discount rate, or some sort of understanding of how much we care about the future versus the present, is going to be like the most important number for the fate of the world. I’m kind of joking, but not really. Depending on what interest rate you’ll see — I’m sort of forecasting or foreshadowing for the rest of the course — determines whether it makes sense to avert the climate crisis or not.

Okay. But leaving that aside for a second, what is the discount rate? It’s going to be a relationship between the present value (PV) and a future value. That will link these over time, according to an assumption about how much we care about these different values, the present value compared to that future value, which will use the variable R, the discount rate.

And so what is that? It’s just going to be a really simple equation. We’re gonna say that the present value of some investment choice — and so this could be, what’s the present value of building a factory? If it gives us benefits in the future, like the factory doesn’t start producing until year 10 or something like that — we’re going to make decisions by converting the future value (so this would be, say, a million dollars of factory production, but in year 10), but we’re gonna reduce how much that’s worth to us according to the discount rate raised to the power of T.

And so you could plug that into Excel and play around with those numbers, but basically, if this is 0, this is 1, right? 1, no matter how many times you raise it to a power, stays 1, and so at the discount rate of zero, the future value is equal to the present value. That’d be the weird case where you don’t care if you get the million dollars right now, or 10 years in the future.

But if you have a higher discount rate, something like 0.03, so a 3% discount rate. You’d have 1.03, and for each number of years in the future you put it, this bottom part is going to get bigger and bigger and bigger, so we’re going to take our future value and divide it by a larger and larger number, which means it’ll be worth less in the future.

And so the intuition that this equation will give us is that a dollar today is worth more than a dollar tomorrow, and that’s because we’re going to assume that this interest rate here is some positive number. Any positive number there is going to make it true that it’s worth less in the future.

[Student question about negative interest rates]

Yes, that happens. And that’s because they’re trying to prompt growth. That’s true, and so we are making maybe too strong of an assumption when we say that R always has to be positive. But in reality, there are both observations in real life, and also you can think of hypothetical situations where it would be pretty clear that you could have a negative discount rate.

Another example would be, if you know the apocalypse is coming, it makes sense to spend everything now, not wait until the future. Being a little silly there. In general, though, for, unless you’re talking about fiscal growth policies, where you really are worried about trying to increase growth in the future, if you’re thinking about it from the perspective of individual companies doing investment, choosing should they buy a new factory or not, they’re always going to have a positive interest rate, a positive discount rate, because they have impatient stockholders, essentially, that want their return on investment now, rather than in the future. But, good caveat.

Okay, so that’s the equation. That says how people discount. But I want to get to the why of why people discount. And the first one is just straight-up time preference.

Time preference. This is just a fancy way of saying, independent of things like investment opportunities or other things, people just prefer things now. There’s a famous experiment where they tried to establish the time preference rate for toddlers.

It’s a hilarious example. They will sit a toddler down in a room, like a 2- or 3-year-old, maybe, and give them a marshmallow, which, side note, toddlers love. And say, okay, here’s a marshmallow. You can eat this marshmallow, but I’m gonna leave for 10 minutes and leave you alone in this room, and if that marshmallow is still here when I come back, I’ll give you 3 marshmallows.

They then keep track of which toddlers decide, no, I want this now, even though I know it’s gonna be more marshmallows in the future. And side note, it’s hilarious. If you watch these videos, the toddlers are just going nuts, like, sitting on their hands, trying to not look at it, literally hiding from it, putting things on top of it to try to resist the urge to consume that sweet, sweet marshmallow.

But this is the best example of — they clearly can understand that they’ll get more later, they’ll get more sugar, if they just can hold on a little bit, but there’s something that is causing them to have a challenge, and it’s like their mouth is salivating. Our base human instincts aren’t really good about thinking so far into the future when there’s a tasty morsel right in front of you. All sorts of examples like this, but that’s just time preference, is that we can observe it again and again. People will prefer consumption now rather than later.

But we’re gonna try to isolate this out from the other ones. So, pure rate of time preference is just that part of how much you’d want that marshmallow now versus in the future.

But there are also other factors, and these ones are going to be more relevant to investment and banking decisions. Even if you didn’t care about when you got the money, if you were a profit-maximizing person, would you rather have that factory give you a million dollars 10 years from now, or would you rather have the million dollars right now?

Who can think of something you might do right now if you had that money besides investing in the factory? What’s another thing you could do with it?

Pay your student loans, yes. Any other examples? Actually, that’s kind of the best example already, but you could invest it. That’s basically like an investment, but what else you could do? You could buy stocks or something like this. Put it in a bank and get some sort of return on investment. And so, literally, if you have a million dollars now, you can just plug it into whatever financial instrument you have, and your example of student loans is great, because you’re essentially reducing your payments right away, right?

So, suppose you’re in a lucky situation where you don’t have debt, you could also say, let’s just invest this, and now we’ll get some return on investment interest from the bank. And what this is really reflecting is that there’s an opportunity cost of not investing. Not investing in some direct return option. And so, in other words, if you’re using those funds otherwise, there’s a cost.

[Student question about the example amounts]

You know, I really wish I was rich, because I would use it to do experiments where there’s real money at stake. I think it would make these examples a little bit more serious.

But then, the last one is just some dynamic elements of growth. We’ll just summarize it as growth. If a future generation is much richer than the present generation, a dollar to them is not worth as much. And so this is just the law of diminishing marginal utility that we see, but if we think the future is going to be richer and richer, exponentially richer, should we really be saving money so that our ultra-wealthy interplanetary species descendants are $1 happier when we could use that $1 to give electricity to Gambia? That doesn’t seem right.

But this is an interesting one, because it goes both ways. What if the future is much worse? Us spending a dollar on some trivial luxury today, that might seem unfair if in the future, 100 years from now, our descendants are going to be living in climate catastrophe-induced poverty. They could actually use that dollar a lot better than we could.

And so there’s intergenerational inequality aspects. So I’m gonna call this growth and intergenerational equity. And so, it can go both ways, like I said, but ultimately, our decision of how much we care about future value depends a lot on, for instance, how much we care about our grandkids. If I really care about my grandkids, which I don’t have yet, but even the possibility of having grandkids, I really want the world to be a nice place for them. That’s really something that changes my behavior right now.

And so, what am I doing? I guess right now I’m investing in my kids’ college fund, right? And so that’s because I want them to be better off, maybe they’ll be better off so they can be better off for their grandkids. But ultimately, most people show some degree of caring about future generations. And if you do, if you care about your grandkids, or other people’s grandkids, you’re gonna have a different discount rate. The value that goes to your grandkids is going to be worth a little bit more, and that can be reflected by having a discount rate that is a little bit less. So that future value is worth more.

Okay. But just putting it in real simple terms, and I’m gonna play a game to illustrate this, if you have a different discount rate, it drastically affects what environmental policies are optimal to do. And so, just thinking about crunching some numbers:

If you had $1,000, and you received it in 100 years, what would the present value of it be today? And so, I’m actually going to write out that equation. This is going to be a case where T is 100, so 100 years in the future. And we’re gonna say present value equals the future value, 1000, divided by 1 plus R (the discount rate) raised to the power of T.

We’re going to be calculating it with different values of R. How much is this $1,000 worth with different discount values?

If R equals 1%, or 0.01, if you raise 1.01 to the 100th power, and divide that $1,000 by that, you get $369 today. So, yeah, it went down in value, but $369 is still not that shabby of an investment.

But if you had a higher discount rate, let’s simplify the math here. If we had a 5% discount rate, we raised that to the 100th power: $7.60.

And so, the same investment option but only with different interest rates and different time preferences, or whatever is driving that difference in the discount rate, is a huge difference. And the further out you go into the future, this amplifies exponentially.

But the punchline is, with a high discount rate, almost no investment in the future is worth it. And so, if you have a project that saves us from climate change, and 100 years from now, we’re gonna be 100 times better off — well, if you have a big discount rate, even that awesome outcome will not be worth doing. It will fail a cost-benefit analysis, because according to the cold, hard logic of discounting, it will go from thousands way down to tiny, tiny numbers.

And this is going to be important, especially when we get into climate economics. A lot of the answer of what we should do for climate change depends entirely on the discount rate and nothing else, which is kind of depressing, because that’s just a value that is reflecting how selfish or not we are. It’s not like some sort of optimal value you can figure out.

Okay. But I want to drive home the concept of the interest rate, or the discount rate, with a game that I put together. Laptop is preferred for this game because the phone screen’s a little small to click. You can still do it, but you might do really suboptimal utility choices, I warn you.

So go ahead and load that up. You can also just go to the website, it’s under our games. This one is called Utility Maximization Dynamic Game.

It should look a little bit like this if you get it up. But I’m gonna go live on this just to illustrate it.

And so I’ve added a bunch more, some we’re not going to talk about, so you don’t have to worry about seeing something here. This is me just playing. This is what I do for fun. The Utility Maximization Dynamic Game.

This is going to look a little familiar. We played one of these in class before. I’ve simplified the user interface a little bit. Before, you would just have up or down for good X or Y, and I think I had you do that for one of the assignments. And a lot of people pointed out it’s pretty hard to click left or right on X and Y goods and get to the right point, but nonetheless, when we played it previously, you all saw that getting the indifference curve just tangent to the budget constraint is the one that gives us the maximum utility.

Anywhere else, you get more utility, but you can’t do that, because you can’t afford it. Or if you’re on the inside, it’s feasible, but you don’t get as much utility as you could. So, that’s what we did before. The big difference is now you just click instead of toggling the different X and Y goods, so it’s a little faster, but you’re doing the same thing. You’re changing the levels of good X that you’re going to buy versus good Y.

Alright, so what we’re gonna do is we’re gonna play 3 games, and I’m gonna be awarding some class points based on whoever gets the best score. We’re first gonna just remind ourselves with Scenario 1, Static Optimization. This is gonna be just reminding us how do we optimize our consumption choices, and we’re gonna do it over time.

And so, there’s gonna be a start button up here. It’s gonna go pretty slow, but you can slow it down or speed it up, and what it’s gonna do is it’s gonna progress forward every few seconds. And you get to choose your X and Y, this time by just clicking, and each time period, it’s going to record how much utility you got. And it’s going to go 12 time periods, and so when this hits 12, it’s going to be done, and then at the bottom, it’ll be summing up the utility, and whoever gets the most total utility wins 5 class points.

Okay, so have at it. I will play it too, just so I know how long it takes.

One thing you’ll notice is there’s actually market news up here. That’s what’s driving the changes. Tariff rates, or we got a raise, income goes up, that means you can spend more. Prices change. That changes the slope of the budget constraint. More competitors enter the market, that’s good for us consumers, because now there’s more available. Car repairs, income goes down. Health kick — your preferences change.

And we got a supply shortage. This is like the COVID shock, where we didn’t have any toilet paper for a while. That lowered our utility.

Alright, when you’re done, at the end of month 12, it’s gonna pop up a scenario complete here. I got 263 total utility. Raise your hand if you beat me.

[Students respond with scores]

What was your strategy? Just get as close as possible, right?

Alright, so you get 5 class points. It’s a little tricky, but it’s easier when you can actually click. One of the things that — it always has, it’s easy to get close to the line, but you have to be both on the line but also in the right spot, right? Because here’s on the line, but it’s not great, because you gotta get to there. So, anyways, yes, that’s the right strategy.

But we’re going to try out one alternative, and then the rest is going to be assigned as a weekly questions bit due next week sometime. But to start you out, let’s try out Scenario 2: Investment and Growth.

And so what this is going to do is it’s going to give you the option of having, for instance, lower consumption in one period, which is bad for your utility, right? But it’s good because, just like in real life, you can invest. And the money that you did not spend can go into the bank, and it can earn interest, and you’ll get that money plus 20% — that’s a really high interest rate — so you’ll get that amount plus some more that comes into a now higher budget in the next period.

So this first game wasn’t very interesting, it was how accurately could you click. But now it’s a little bit tougher, because you’ve got to think about what’s the optimal investment strategy. This will be worth another 5 class points.

So go ahead and select Scenario 2, and hit start on there.

The same series of shocks are gonna happen, like budget things, car prices, stuff like that. One thing you might notice is your budget is getting higher and higher if you’re not spending everything. Same shocks. Trade deal. Supply shortage.

So y’all should be finishing up about now. I got 392 utility. Anybody beat me? Anybody get 400? 500? 600? 700?

How much did you get? 1,066? How did you get 1,066? What was your strategy?

[Student explains strategy]

Yep, exactly right. You can play around with this, but that’s exactly right. You essentially went all the way down to zero consumption or something close, probably, right? And then your budget went way up. And then at some point, you want to stop doing that, because if you did that until month 12, you get zero utility, and that’s not worth it. So at some point, you switched over to spending as much as you could, right? And you went beyond, potentially what you could purchase within the period.

Okay, so those are the basic dynamics. What you’re going to do for the next class exercise is I’m going to ask you to do two more scenarios where we’re going to fix this problem. This one was a little bit unfair, because there’s this positive of investing, but what did we leave out?

The fact that money in the future — like, you waited, you didn’t spend anything at all, you would have starved. And so we didn’t have any “starving is a bad thing” in this. The discount rate that we’re going to add in Scenario 3, we’ll add that realism in. I’ll send out the actual assignment here shortly after class, but it will involve playing this and reflecting on your answer.

With that, thank you.