Author: Zachary Bartsch

More Or Less Money

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Money and interest rates have been in the news because the Fed wants to slow the rate of inflation, maintain financial stability, and avoid a recession. Let’s break it down. First, some broad context. The M1 and M2 were all chugging along prior to 2020. M2 was growing along with NGDP and, after raising interest rates, the Fed had begun lowering them again. Then Covid, the stimuli, and the redefinition of M1 happened. Now, we’re trying to get back to something that looks like normal. See the graphs below.

https://fred.stlouisfed.org/graph/?g=1aFgM
https://fred.stlouisfed.org/graph/?g=1aFgO

But these aggregates gloss over some relevant compositional changes. Let’s go one-by-one.

The monetary base includes both bank reserves and currency in circulation. We could break it down further, but I’ll save that for another time. What we see is that while currency in circulation did grow faster post-covid, it was nothing compared to the growing reserve balances. From January to May of 2020, currency grew by 7.5% while reserves almost doubled. That means a few things. 1) People weren’t running on banks. Covid was not a financial crises in the sense that people were withdrawing huge sums of cash. 2) Banks were well capitalized, safe, and stable. Further, uncertainty aside, banks were ready to lend. And they did. Not long after the recession, everyone and their brother was re-financing or taking on new debt. More recently, we can see that currency has stabilized and, again, most of the action has been in reserve balances. As of September 2023, reserve balances are down 23% from the high in September 2021.

https://fred.stlouisfed.org/graph/?g=1aF06

The thing about the monetary base, however, is that reserves don’t translate into more spending unless the reserves are loaned out. The money supply that people can most easily spend, M1, is composed of currency held outside of banks, deposit balances, and “other liquid deposits” (green line below).*  See the graph below. Again, most of the action wasn’t in the physical printing of hard, physical cash. People’s checking account balances ballooned thanks to less spending on in-person services and thanks to the stimulus checks and other relief programs. Deposit balances more than doubled from January to December of 2020. Ultimately, deposit balances were 3.3 *times* higher by August of 2022. Since then, the balances have been on a slow, steady decline of about 5.8% over the course of the year. But even then, it’s those “other” deposits, previously categorized as M2, where most of the action is. The value of those balances have fallen by a whopping 2.5 *trillion* and 19% dollars in the past 18 months. People are drawing down their savings.

https://fred.stlouisfed.org/graph/?g=1aFgV

Finally, we get to M2, the less liquid measure of the money supply. Besides the M1 components, it also includes small time deposits, such as CD’s, and money market funds (not including those held in IRA and Keogh accounts). Money market funds and small time deposits have *increased* in value since the post stimulus tightening as people chase the allure of higher interest rates on offer. Measured by volume, the declines in the broad money supply have darn near all come from declines in M1 (again, the jump is redefinition). And of that, it’s almost entirely coming out of “other” liquid deposits, as illustrated above. That’s savings balances. It’s true that there is some other-other balances, but it’s mostly savings accounts.

https://fred.stlouisfed.org/graph/?g=1aFgY

Zooming in on just those “other” balances (below left), people still have higher balances than they did prior to the pandemic. But by now, they’re below the pre-pandemic trend.  Savings accounts are depleted. However, since many people don’t use savings account anymore due to the decade plus of low interest rates, it’s appropriate to consider both “other” accounts and demand deposits (below right). By that measure, we still have plenty of post-Covid liquidity at our disposal.

https://fred.stlouisfed.org/graph/?g=1aFLj
https://fred.stlouisfed.org/graph/?g=1aFLo

*Other liquid deposits consist of negotiable order of withdrawal (NOW) and automatic transfer service (ATS) balances at depository institutions, share draft accounts at credit unions, demand deposits at thrift institutions, and savings deposits, including money market deposit accounts.

PS. So where is all this above-trend NGDP coming from, if not the money supply? Hmmmm.

Fear of the Unknown and Fear of the Known

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Alfred Hitchcock’s ‘Psycho’ famously omits graphic violence. You never see the bad guy stab anyone – though it’s heavily implied. Some say that this accounts for the impact of the film. The most thrilling parts are left to the viewer’s imagination. And a person’s imagination can be pretty terrifying. The delight of the unseen was especially appropriate at a time of 13 inch televisions and black-and-white movies. If the graphics on the screen couldn’t carry the movie, then the graphics in a person’s mind would do the trick.

Fast forward to ‘Burn Notice’. I don’t watch this show, but my in-laws do. They have a huge TV with a super high resolution. The TV has a diagonal span that almost surpasses my height. I’m short, but not that short. This is a big TV.  I’ve only seen Burn Notice at their house. It strikes me as poorly acted, poorly written, and self-serious to the point of absurdity. I keep expecting that self-referential nod to the open secret that the show is ridiculous, but it never comes. It’s a bad show. From all that I can see in high definition, there’s nothing worth seeing.

What is so good that I watch? Although I’m seven years late, I’ve recently been watching Marvel’s Luke Cage. Being a superhero show, some of the standards are lowered. The script is weak at times, the acting is OK, and the plot has some credibility holes. But the point of the show is to explore a world in which superheroes exist, and one of them happens to live in Harlem. Luke Cage is part of the earlier Marvel cadre of post-acquisition-by-Disney shows that also includes Iron Fist, Daredevil, & Jessica Jones. These shows are less tongue-in-cheek and comedic than the later shows like Loki, Wandavision, or Moon Knight. I enjoy watching Luke Cage on a small 40 inch television, and occasionally on my phone.  

Then I stayed at an Airbnb last weekend that had a HUGE TV. This thing easily had a diagonal measure that surpassed my height. After getting the kids down and answering emails, I sat down to enjoy my current go-to show before hitting the hay. And dang it if I wasn’t distracted the entire time. On this massive screen I could see every pore on everyone’s face and every blank stare parading as acting. I could see each and every glare of poor lighting and every character’s ill-timed reply and change of expression.  Most of the show is one big charade.

Much to my dismay, I had discovered that I was watching ‘bad tv’. Let me be clear. I’m not supposed to watch bad tv. That’s the realm of those other people. But me? I have enlightened preferences and a refined pallet. I’m not a person who watches bad tv. But that grandiose self-conception has been dashed by this serendipitous visit to a nice Airbnb.

I’ve had some time to dwell on my new revelation and this is what I’ve settled on. First, I’m going to keep watching Luke Cage on my small TV and I’m going to enjoy it. There is little that I can do now about the nagging knowledge that, given a higher resolution, it’s not a good show. You can’t unknow things. Second, maybe Burn Notice isn’t a bad show. Maybe it’s just a bad show when I can see too much detail, such as on my in-law’s TV. Maybe I would enjoy it on a TV with lower resolution. Regardless, I’m not going to watch it.

Third, now I have a new margin of preference over shows and movies. Now I consider whether a show or movie would be helped or hurt by more visual detail. Quick-paced, big-budget action shows like Jack Ryan are probably better in greater detail. Game of Thrones is probably better as a 4k experience. But shows in which the comedy or the drama unfolds by virtue of the circumstances, rather than the visual spectacle, are probably best watched at a lower resolution. When the audience experience hinges on implications and connections that occur in the viewer’s mind, that’s probably a better show at a lower resolution. Luke Cage is a ‘good’ show in low-res. In high-res, I’m afraid that see too much.

When Hitchcock omitted visual detail, he leaned on the mind’s eye to fill in the gaps. He was guiding the brain toward conjuring the unnerving scenes that he could not as easily mimic on screen. Advances in home entertainment have moved the goalpost. A more detailed viewing experience changes the type of shows that we are willing to watch because we have a new criteria for fitness. The supply side response on the part of studios is that shows lacking visual stimulation will need to lean more on the mind’s eye and our interpretations of social interactions in order to for audiences to experience the best version of the show. Because the best version won’t be in front of us. We know too much.

The Vicinity of Celebrity Obscenity

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I don’t like when celebrities are ‘caught’ saying deplorable things in a heated moment. Sometimes they say really awful things, specifically about observables such as race, weight, sex, nationality, odor, etc. Plenty of people have done it. I won’t mention the names or link to any particulars here.

My problem isn’t that I wish celebrities had better behavior – although I do. My problem is with the entire fallout of how we’re all supposed to take the celebrity seriously when they were enraged. When people get angry they say things that are designed to hurt others.   People will say things that they don’t mean or wouldn’t normally say. And it’s not like they are betraying some unspoken belief that they’ve hidden. Angry people often say wicked things for the sole purpose of hurting someone else’s feelings. In the moment, the offender tries hard to communicate disrespect – not due to a lack of respect – but due to how it will make the other person feel.

I find the entire circumstance weird. If someone is boiling over and saying patently ridiculous things to me and calling me names, then I have a very hard time taking them seriously. All the same, context matters and words can hurt. It’s weird that we know that people can say untrue things in order to hurt us, and then it actually hurts us. Strange.

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It Takes a Village

Zachary Bartsch3 Comments

Many households are now 2-income households. And that can make parenting a slog.

You go to work for 8-10 hours, you may or may not need to provide transportation for children to/from school, and child-care can eat a substantial portion of income. If the children are small, then the parents clean the floors, the dishes, and the clothes. Not to mention any home improvements or repairs. And food! Do you want to eat a home-cooked meal as a family? If both parents work typical hours, then prepare to eat no earlier than 6 PM, and maybe as late as 7:30.

Hey but there’s the weekend, right? NOPE! Someone has to do that big weekly shopping trip. How long is that going to take? The whole ordeal is enough to make someone think twice before having that 2nd kid. After all, if one kid getting sick throws a wrench in even a single day’s routine, then the whole week can be affected. How many sick kids before things stop getting done? Having a grandparent around to help would be a huge privilege and blessing.

At this point, I think that I can begin to call myself an experienced parent. I’ve got 4 kids who are ages 6 and younger. Plenty of modern conveniences make life easier. Many groceries can be purchased ahead of time for ‘order pick-up’ or online for delivery. Nice. Books are super cheap, and so are bubbles and drawing supplies. If I have to get some work/chores done while the kids are awake, then I can buy myself some time. But, like it or not, when the kids are asleep in the evening is when most chores will get done.

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Hand-in-Hand: Demand & Technology

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In standard microeconomics, the long-run demand is unimportant for the market price of a good. Firm competition, entry, and exit causes economic profits to be zero and the price to be equal to firms’ identical minimum average cost. This unreasonably assumes that they have constant technology. That is, they have a constant mix of productive inputs and practices.

Just so we’re clear: time is passing such that firms can enter, exit, and adjust the price – but no productive innovation occurs. For the modeling, we freeze time for technology, but not for other variables. The model ceases to reflect reality on the margin of scale-induced innovation. The standard model assumes an optimal quantity of production for each firm and the only way for total output to change is for there to be more or fewer firms. The model precludes adopting any different technology because firms are already producing at the minimum average cost – if they could produce more cheaply, then they would.

Enter Scale

One of my favorite details about production was taught to me by Robin Hanson.* Namely, that the scale of production isn’t merely with the aid of more raw materials, labor, and capital. There are perfectly well-known existing technologies and methods that reduce the average cost – if the firm could produce a large enough quantity. This helps to illustrate what counts are technology. A firm can achieve lower average costs without inventing anything, and merely by adopting a superficially different production method.

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Dysfunctional Virtue: A Tale of No Profits

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For-profit firms are well-oriented. The managers within firms may not make profit their only explicit priority, but it is pre-requisite to their other concerns. Without profits, firms eventually cease to exist. Non-profits are different. They might have revenues due to sales and operate much like a for-profit firm. But, they many times operate on revenue from donations and endowments. Because the success of non-profits is harder to measure, the signals of triumph and defeat do not orient the employees as clearly. The result can be that there is a lot of ruin in a non-profit. Plenty of tasks are done inefficiently, poorly, or not at all.

Mission-driven non-profits are able to attract enthusiastic, dedicated employees given the pay that they offer. But, supporting the mission of such an organization often acts as an implicit “belief test”, filtering out other would-be job applicants who self-select out of applying to open positions for which they are otherwise qualified. Indeed, part of the purpose of mission statements is to filter for the kind of employees that the organization managers or donors desire. While the employees may be enthusiastic and dedicated to the mission, that is mostly separate from whether they have the technical skills to flourish in their position and to effectively serve the organization.

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[Not] Choosing Rationally

Zachary Bartsch4 Comments

I’ve written previously on game theory, about the generality of Pure Strategy Nash Equilibria (PSNE), and the drawbacks of Sub-Game Perfect Nash Equilibria (SGPE). In this post I have another limitation for SGPE.


First, some definitions:
PSNE: “No player can change one of their strategies and improve their payoff, given the strategies of all other players.”
Subgame: “A subset of any extensive-form game that includes an initial node (which doesn’t share an information set with other nodes) and all its successor nodes.”
Subgame Equilibrium (SGE): “The PSNE of the Subgame”
SGPE: “The set of PSNE that are also SGE”


Clearly, there is nothing inconsistent about the above definitions. The reason that SGPE emerged was because some PSNE assert that a player would be willing to choose strategies that do not maximize conditional payoffs in subgames that are off of the equilibrium path. So, people often characterize the SGPE as a player ‘being rational each step of the way in each subgame’.

But, there is a problem. “Each step of the way” and “in each subgame” are not the same thing. Each step of the way implies that a player is rational at each decision – ie, at each information set. But, not every information set is a subgame! So, a SGPE can include rationality at each SGE while also permitting some irrationality at individual information sets. Since economists like to identify the bounds of their claims, let me emphasize the word can. In order to be correct, I need only identify one case in which the claim is true.


Here is that case:

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Interpolation Vs Transition

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Sometimes you read an academic article and the author fills in the data gaps with interpolation. That is, they assume some functional form of the data and then replace the missing values with the estimated ones. Often, lacking an informed opinion about functional form, authors will just linearly interpolate between the closest known values. Sometimes this method is OK. But sometimes we can do better.

Historical census data provides a good example because the frequency was only every ten years. Say that we want to know more about child migration patterns between 1850 and 1860. What happened in the intervening years? Who knows. Let’s look at the data.

Using data on individuals who have been linked across censuses allows us to fill in the gaps a little bit. For simplicity, let’s just look at whether a child migrant lived in an urban location and whether they lived on a farm. That means that there are 4 possible ways to describe their residence. Below is a summary of where children migrants lived at the age of zero in 1850 and where the same children lived a decade later at the age of ten in 1860 given that they moved counties.

When I’m the mean time did these children move from one place and to the other? We don’t know exactly. The popular answer is to say that they moved uniformly throughout the decade. That’s ‘fine’. But it assumes that the rate at which people departed places was rising and the rate at which they arrived places was falling. Maybe that’s true, but we don’t really know. Below-left is a graph that shows the linear interpolation.

The nice thing about linear interpolation is that everyone is accounted for at each point in time. The total number of people don’t rise or fall in the intervening interpolation period. But if we were to assume that children departed/arrived at each type of place at a constant rate (maybe a more reasonable assumption), then suddenly we lose track of people. That is, the sum of people dips below 100% as people depart faster than they arrive.

What’s the alternative to linear interpolation?

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Life Tables are Cool

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Demography is cool generally, but life tables are really cool in their elegance. Don’t know what a life table is? Let me ‘splain.

A life table uses data from private or public death registers, or even genealogical records, to identify a variety of survival and death estimates. Briefly, the tables include for each age:

  • Probability of death in the next year
  • Probability of surviving to the age
  • The life expectancy

There is more in the tables, but these are the big items that people often want to know. All of the various table columns can be calculated from survival rates. The US government and the UN each has created many such tables for a variety of time, locations, and development details. For example, the earliest and most dependable one is from 1901 and includes separate tables by race, sex, migrant status, urbanity, and even for some specific states.

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Everyone Happy? Student Loan Repayment

Zachary Bartsch3 Comments

I like a good lump sum tax. People *must* pay the tax without exception and the advantage over current progressive marginal income taxes is that the marginal wage received doesn’t fall with greater earnings. Employment rises and output rises. To the extent that college students fail to understand their student loans, the indebted graduates essentially pay a lump sum tax each period.

Of course, the exception is income based repayment (IBR) – especially with forgiveness after X years. IBR adjusts the incentives substantially. Under the standard system, your wages are garnished if you fail to make loan payments. Under IBR, lower earnings trigger lower monthly payments. Clearly, in contrast to the standard method, IBR incentivizes more leisure, less income, more black market activity, and higher loan balances. Indeed, all the more so if there is a forgiveness horizon. Someone just has to have low enough income for say 15 years, and their past debt is forgiven (with caveats & conditions).

My principal objection to IBR policy is the resulting malinvestment in human capital. Defaulting on loans is a sign that some investment was inadequately productive to repay the resources consumed by its endeavor. We call that a loss. Real resources of time, attention, and goods and services were consumed in order to produce capital that failed to serve others more than the opportunity cost of those resources.

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