Statisticacy

Jun 11 JDN 2460107

I wasn’t able to find a dictionary that includes the word “statisticacy”, but it doesn’t trigger my spell-check, and it does seem to have the same form as “numeracy”: numeric, numerical, numeracy, numerate; statistic, statistical, statisticacy, statisticate. It definitely still sounds very odd to my ears. Perhaps repetition will eventually make it familiar.

For the concept is clearly a very important one. Literacy and numeracy are no longer a serious problem in the First World; basically every adult at this point knows how to read and do addition. Even worldwide, 90% of men and 83% of women can read, at least at a basic level—which is an astonishing feat of our civilization by the way, well worthy of celebration.

But I have noticed a disturbing lack of, well, statisticacy. Even intelligent, educated people seem… pretty bad at understanding statistics.

I’m not talking about sophisticated econometrics here; of course most people don’t know that, and don’t need to. (Most economists don’t know that!) I mean quite basic statistical knowledge.

A few years ago I wrote a post called “Statistics you should have been taught in high school, but probably weren’t”; that’s the kind of stuff I’m talking about.

As part of being a good citizen in a modern society, every adult should understand the following:

1. The difference between a mean and a median, and why average income (mean) can increase even though most people are no richer (median).

2. The difference between increasing by X% and increasing by X percentage points: If inflation goes from 4% to 5%, that is an increase of 20% ((5/4-1)*100%), but only 1 percentage point (5%-4%).

3. The meaning of standard error, and how to interpret error bars on a graph—and why it’s a huge red flag if there aren’t any error bars on a graph.

4. Basic probabilistic reasoning: Given some scratch paper, a pen, and a calculator, everyone should be able to work out the odds of drawing a given blackjack hand, or rolling a particular number on a pair of dice. (If that’s too easy, make it a poker hand and four dice. But mostly that’s just more calculation effort, not fundamentally different.)

5. The meaning of exponential growth rates, and how they apply to economic growth and compound interest. (The difference between 3% interest and 6% interest over 30 years is more than double the total amount paid.)

I see people making errors about this sort of thing all the time.

Economic news that celebrates rising GDP but wonders why people aren’t happier (when real median income has been falling since 2019 and is only 7% higher than it was in 1999, an annual growth rate of 0.2%).

Reports on inflation, interest rates, or poll numbers that don’t clearly specify whether they are dealing with percentages or percentage points. (XKCD made fun of this.)

Speaking of poll numbers, any reporting on changes in polls that isn’t at least twice the margin of error of the polls in question. (There’s also a comic for this; this time it’s PhD Comics.)

People misunderstanding interest rates and gravely underestimating how much they’ll pay for their debt (then again, this is probably the result of strategic choices on the part of banks—so maybe the real failure is regulatory).

And, perhaps worst of all, the plague of science news articles about “New study says X”. Things causing and/or cancer, things correlated with personality types, tiny psychological nudges that supposedly have profound effects on behavior.

Some of these things will even turn out to be true; actually I think this one on fibromyalgia, this one on smoking, and this one on body image are probably accurate. But even if it’s a properly randomized experiment—and especially if it’s just a regression analysis—a single study ultimately tells us very little, and it’s irresponsible to report on them instead of telling people the extensive body of established scientific knowledge that most people still aren’t aware of.

Basically any time an article is published saying “New study says X”, a statisticate person should ignore it and treat it as random noise. This is especially true if the finding seems weird or shocking; such findings are far more likely to be random flukes than genuine discoveries. Yes, they could be true, but one study just doesn’t move the needle that much.

I don’t remember where it came from, but there is a saying about this: “What is in the textbooks is 90% true. What is in the published literature is 50% true. What is in the press releases is 90% false.” These figures are approximately correct.

If their goal is to advance public knowledge of science, science journalists would accomplish a lot more if they just opened to a random page in a mainstream science textbook and started reading it on air. Admittedly, I can see how that would be less interesting to watch; but then, their job should be to find a way to make it interesting, not to take individual studies out of context and hype them up far beyond what they deserve. (Bill Nye did this much better than most science journalists.)

I’m not sure how much to blame people for lacking this knowledge. On the one hand, they could easily look it up on Wikipedia, and apparently choose not to. On the other hand, they probably don’t even realize how important it is, and were never properly taught it in school even though they should have been. Many of these things may even be unknown unknowns; people simply don’t realize how poorly they understand. Maybe the most useful thing we could do right now is simply point out to people that these things are important, and if they don’t understand them, they should get on that Wikipedia binge as soon as possible.

And one last thing: Maybe this is asking too much, but I think that a truly statisticate person should be able to solve the Monty Hall Problem and not be confused by the result. (Hint: It’s very important that Monty Hall knows which door the car is behind, and would never open that one. If he’s guessing at random and simply happens to pick a goat, the correct answer is 1/2, not 2/3. Then again, it’s never a bad choice to switch.)

Mental accounting and “free shipping”

Mar 5 JDN 2460009

Suppose you are considering buying a small item, such as a hardcover book or a piece of cookware. If you buy it from one seller, the price is $50, but shipping costs $20; if you buy it from another, it costs $70 but you’ll get free shipping. Which one do you buy from?

If you are being rational, you won’t care in the slightest. But most people don’t seem to behave that way. The idea of paying $20 to ship a $50 item just feels wrong somehow, and so most people will tend to prefer the seller with free shipping—even though the total amount they spend is the same.

Sellers know this, and take advantage of it. Indeed, it is the only plausible reason they would ever offer free shipping in the first place.

Free shipping, after all, is not actually free. Someone still gets paid to perform that delivery. And while the seller is the one making the payment, they will no doubt raise the price they charge you as a customer in order to make up the difference—it would be very foolish of them not to. So ultimately, everything turns out the same as if you had paid for shipping.

But it still feels different, doesn’t it? This is because of a series of heuristics most people use for their financial decisions known as mental accounting.

There are a lot of different heuristics that go into mental accounting, but the one that is most relevant here is mental budgeting: We divide our spending into different budgetary categories, and try not to go over budget in any particular category.

While the item you’re buying may in fact be worth more than $70 to you, you probably didn’t budget in your mind $20 for shipping. So even if the total impact on your finances is the same, you register the higher shipping price as “over budget” in one of your mental categories. So it feels like you are spending more than if you had simply paid $70 for the item and gotten free shipping. Even though you are actually paying exactly the same amount.

Another reason this works so well may be that people don’t really have a clear idea what the price of items is at different sellers. So you see “$70, free shipping” and you assume that it previously had a price of $70 and they are generously offering you shipping for free.

But if you ever find yourself assuming that a corporation is being generous—you are making a cognitive error. Corporations are, by design, as selfish as possible. They are never generous. There is always something in it for them.

In the best-case scenario, what serves the company will also serve other people, as when they donate to good causes for tax deductions and better PR (or when they simply provide good products at low prices). But no corporation is going to intentionally sacrifice its own interests to benefit anyone else. They exist to maximize profits for their shareholders. That is what they do. That is what they always do. Keep that in mind, and you won’t be disappointed by them.

They might offer you a lower price, or other perks, in order to keep you as a customer; but they will do so very carefully, only enough to keep you from shopping elsewhere. And if they are able to come down on the price while still making a profit, that really just goes to show they had too much market power to begin with.

Free shipping, at least, is relatively harmless. It’s slightly manipulative, but a higher price plus free shipping really does ultimately amount to the same thing as a lower price plus paid shipping. The worst I can say about it is that it may cause people to buy things they otherwise wouldn’t have; but they must have still felt that the sticker price was worth it, so it can’t really be so bad.

Another, more sinister way that corporations use mental accounting to manipulate customers is through the use of credit cards.

It’s well-documented that people are willing to spend more on credit cards than they would be in cash. In most cases, this does not appear to be the result of people actually being constrained by their liquidity—even if people have the cash, they are more willing to spend a credit card to buy the same item.

This effect is called pain of paying. It hurts more, psychologically, to hand over a series of dollar bills than it does to swipe (or lately, just tap) a credit card. It’s not just about convenience; by making it less painful to pay, companies can pressure us to spend more.

And since credit cards add to an existing balance, there is what’s called transaction decoupling: The money we spent on any particular item gets mentally separated from the actual transaction in which we bought that item. We may not even remember how much we paid. We just see a credit card balance go up; and it may end up being quite a large balance, but any particular transaction usually won’t have raised it very much.

Human beings tend to perceive stimuli proportionally: We don’t really feel the effect of $5 per se, we feel the effect of a 20% increase. So that $5 feels like a lot more when it’s coming out of a wallet that held $20 than it does when it’s adding to a $200 credit card balance.

This is also why I say expensive cheap things, cheap expensive things; you should care more about the same proportional difference when it’s on a higher base price.

The Efficient Roulette Hypothesis

Nov 27 JDN 2459911

The efficient market hypothesis is often stated in several different ways, and these are often treated as equivalent. There are at least three very different definitions of it that people seem to use interchangeably:

  1. Market prices are optimal and efficient.
  2. Market prices aggregate and reflect all publicly-available relevant information.
  3. Market prices are difficult or impossible to predict.

The first reading, I will call the efficiency hypothesis, because, well, it is what we would expect a phrase like “efficient market hypothesis” to mean. The ordinary meaning of those words would imply that we are asserting that market prices are in some way optimal or near-optimal, that markets get prices “right” in some sense at least the vast majority of the time.

The second reading I’ll call the information hypothesis; it implies that market prices are an information aggregation mechanism which automatically incorporates all publicly-available information. This already seems quite different from efficiency, but it seems at least tangentially related, since information aggregation could be one useful function that markets serve.

The third reading I will call the unpredictability hypothesis; it says simply that market prices are very difficult to predict, and so you can’t reasonably expect to make money by anticipating market price changes far in advance of everyone else. But as I’ll get to in more detail shortly, that doesn’t have the slightest thing to do with efficiency.

The empirical data in favor of the unpredictability hypothesis is quite overwhelming. It’s exceedingly hard to beat the market, and for most people, most of the time, the smartest way to invest is just to buy a diversified portfolio and let it sit.

The empirical data in favor of the information hypothesis is mixed, but it’s at least plausible; most prices do seem to respond to public announcements of information in ways we would expect, and prediction markets can be surprisingly accurate at forecasting the future.

The empirical data in favor of the efficiency hypothesis, on the other hand, is basically nonexistent. On the one hand this is a difficult hypothesis to test directly, since it isn’t clear what sort of benchmark we should be comparing against—so it risks being not even wrong. But if you consider basically any plausible standard one could try to set for how an efficient market would run, our actual financial markets in no way resemble it. They are erratic, jumping up and down for stupid reasons or no reason at all. They are prone to bubbles, wildly overvaluing worthless assets. They have collapsed governments and ruined millions of lives without cause. They have resulted in the highest-paying people in the world doing jobs that accomplish basically nothing of genuine value. They are, in short, a paradigmatic example of what inefficiency looks like.

Yet, we still have economists who insist that “the efficient market hypothesis” is a proven fact, because the unpredictability hypothesis is clearly correct.

I do not think this is an accident. It’s not a mistake, or an awkwardly-chosen technical term that people are misinterpreting.

This is a motte and bailey doctrine.

Motte-and-bailey was a strategy in medieval warfare. Defending an entire region is very difficult, so instead what was often done was constructing a small, highly defensible fortification—the motte—while accepting that the land surrounding it—the bailey—would not be well-defended. Most of the time, the people stayed on the bailey, where the land was fertile and it was relatively pleasant to live. But should they be attacked, they could retreat to the motte and defend themselves until the danger was defeated.

A motte-and-bailey doctrine is an analogous strategy used in argumentation. You use the same words for two different versions of an idea: The motte is a narrow, defensible core of your idea that you can provide strong evidence for, but it isn’t very strong and may not even be interesting or controversial. The bailey is a broad, expansive version of your idea that is interesting and controversial and leads to lots of significant conclusions, but can’t be well-supported by evidence.

The bailey is the efficiency hypothesis: That market prices are optimal and we are fools to try to intervene or even regulate them because the almighty Invisible Hand is superior to us.

The motte is the unpredictability hypothesis: Market prices are very hard to predict, and most people who try to make money by beating the market fail.

By referring to both of these very different ideas as “the efficient market hypothesis”, economists can act as if they are defending the bailey, and prescribe policies that deregulate financial markets on the grounds that they are so optimal and efficient; but then when pressed for evidence to support their beliefs, they can pivot to the motte, and merely show that markets are unpredictable. As long as people don’t catch on and recognize that these are two very different meanings of “the efficient market hypothesis”, then they can use the evidence for unpredictability to support their goal of deregulation.

Yet when you look closely at this argument, it collapses. Unpredictability is not evidence of efficiency; if anything, it’s the opposite. Since the world doesn’t really change on a minute-by-minute basis, an efficient system should actually be relatively predictable in the short term. If prices reflected the real value of companies, they would change only very gradually, as the fortunes of the company change as a result of real-world events. An earthquake or a discovery of a new mine would change stock prices in relevant industries; but most of the time, they’d be basically flat. The occurrence of minute-by-minute or even second-by-second changes in prices basically proves that we are not tracking any genuine changes in value.

Roulette wheels are extremely unpredictable by design—by law, even—and yet no one would accuse them of being an efficient way of allocating resources. If you bet on roulette wheels and try to beat the house, you will almost surely fail, just as you would if you try to beat the stock market—and dare I say, for much the same reasons?

So if we’re going to insist that “efficiency” just means unpredictability, rather than actual, you know, efficiency, then we should all speak of the Efficient Roulette Hypothesis. Anything we can’t predict is now automatically “efficient” and should therefore be left unregulated.

The radical uncertainty of life

Jul 31 JDN 2459792

It’s a question you get a lot in job interviews, and sometimes from elsewhere as well: “Where do you see yourself in ten years?”

I never quite know how to answer such a question, because the future is so full of uncertainty.

Ten years from now:

I could be a tenured professor, or have left academia entirely. I could be teaching here at Edinburgh, or at an even more prestigious university, or at a tiny, obscure school. I could be working in private industry, or unemployed. I could be working as a full-time freelance writer.

I could have published nothing new, or have published a few things, or have won a Fields Medal. (It’s especially unlikely to have won a Nobel by then, but it’s a bit less unlikely that I might have done work that would one day lead to one.)

I could be still living in the United Kingdom, or back in the United States, or in some other country entirely.

I could be healthier than I am now, or permanently disabled. I could even be dead, from a variety of diseases, or a car accident, or a gunshot wound.

I could have adopted three children, or none. I could be divorced. My spouse could be dead.

It could even all be moot because the Russian war in Ukraine—or some other act of Russian aggression—has escalated into a nuclear Third World War.

These are the relatively likely scenarios.

I’m not saying I’m going to win a Fields Medal—but I am the sort of person who wins Fields Medals, surely far more likely than any randomly selected individual. I’m not saying we’re going to have WW3, but we’re definitely closer to it than we’ve been since the end of the Cold War.

There are plenty of other, unlikely scenarios that still remain possible:

I could be working in finance, or engineering, or medicine. I could be living on a farm. I could be President of the United States. I could have won a multi-million-dollar lottery and retired to a life of luxury and philanthropy. Those seem rather unlikely for me personally—but they are all true of someone, somewhere.

I could be living on a space station, or a Lunar base. I could be cybernetically enhanced. 2032 seems early for such things—but it didn’t to folks writing in the 1980s, so who knows? (Maybe it will even happen so gradually we won’t notice: Is a glucose-monitoring implant a cybernetic enhancement? It doesn’t seem so unlikely I might one day have one of those.)

None of us really knows what the future is going to hold. We could say what we want, or what we expect is the most likely, but more often than not, the world will surprise us.

What does this mean for our lives now? Should we give up trying to make plans, since the future is so unpredictable? Should we “eat, drink, and be merry, for tomorrow we die”?

I think the key is to realize that there is a kind of planning that’s still useful even if you can’t predict what will happen—and that is to plan to be flexible and resilient.

You can keep your eyes open for opportunities, rather than trying too hard to hold onto what you already have. Rather than trying in vain to keep everything the same, you can accept that your life is going to change and try to direct that change in better directions.

Rather than planning on staying in the same career for your whole life—which hardly anyone in our generation does—you should expect to change careers, and be working on building a wide range of transferable skills and a broad network of friends and colleagues. Maybe sooner or later you’ll find the right place to settle down, but it could be awhile.

You may not know where you’ll be living or working in ten years, but odds are pretty good that it’ll still be useful for you to have some money saved up, so you should probably save some money. If we end up in a post-scarcity utopia, you won’t need it, but you also won’t care. If we end up in a post-apocalyptic hellscape, it really won’t matter one way or the other. And those two extremes are about what would need to happen for you not to be able to make use of savings.

And where should you put that saved money? Stocks, bonds, cryptocurrency? Well, crypto would give you a chance at spectacular gains—but a much larger chance of spectacular losses. Bonds are very safe, but also don’t grow very much. So, as I’ve said before, you probably want to buy stocks. Yes, you could end up better off by choosing something else; but you have to play the odds, and stocks give you the best odds.

You will have setbacks at some point, either small or large. Everyone does. You can’t plan for what they will be, but you can plan to have resources available to deal with them.

Hey, maybe you should even buy life insurance, just in case you really do die tomorrow. You probably won’t—but somebody will, and doesn’t know it yet.

Cryptocurrency and its failures

Jan 30 JDN 2459620

It started out as a neat idea, though very much a solution in search of a problem. Using encryption, could we decentralize currency and eliminate the need for a central bank?

Well, it’s been a few years now, and we have now seen how well that went. Bitcoin recently crashed, but it has always been astonishingly volatile. As a speculative asset, such volatility is often tolerable—for many, even profitable. But as a currency, it is completely unbearable. People need to know that their money will be a store of value and a medium of exchange—and something that changes price one minute to the next is neither.

Some of cryptocurrency’s failures have been hilarious, like the ill-fated island called [yes, really] “Cryptoland”, which crashed and burned when they couldn’t find any investors to help them buy the island.

Others have been darkly comic, but tragic in their human consequences. Chief among these was the failed attempt by El Salvador to make Bitcoin an official currency.

At the time, President Bukele justified it by an economically baffling argument: Total value of all Bitcoin in the world is $680 billion, therefore if even 1% gets invested in El Salvador, GDP will increase by $6.8 billion, which is 25%!

First of all, that would only happen if 1% of all Bitcoin were invested in El Salvador each year—otherwise you’re looking at a one-time injection of money, not an increase in GDP.

But more importantly, this is like saying that the total US dollar supply is $6 trillion, (that’s physically cash; the actual money supply is considerably larger) so maybe by dollarizing your economy you can get 1% of that—$60 billion, baby! No, that’s not how any of this works. Dollarizing could still be a good idea (though it didn’t go all that well in El Salvador), but it won’t give you some kind of share in the US economy. You can’t collect dividends on US GDP.

It’s actually good how El Salvador’s experiment in bitcoin failed: Nobody bought into it in the first place. They couldn’t convince people to buy government assets that were backed by Bitcoin (perhaps because the assets were a strictly worse deal than just, er, buying Bitcoin). So the human cost of this idiotic experiment should be relatively minimal: It’s not like people are losing their homes over this.

That is, unless President Bukele doubles down, which he now appears to be doing. Even people who are big fans of cryptocurrency are unimpressed with El Salvador’s approach to it.

It would be one thing if there were some stable cryptocurrency that one could try pegging one’s national currency to, but there isn’t. Even so-called stablecoins are generally pegged to… regular currencies, typically the US dollar but also sometimes the Euro or a few other currencies. (I’ve seen the Australian Dollar and the Swiss Franc, but oddly enough, not the Pound Sterling.)

Or a country could try issuing its own cryptocurrency, as an all-digital currency instead of one that is partly paper. It’s not totally clear to me what advantages this would have over the current system (in which most of the money supply is bank deposits, i.e. already digital), but it would at least preserve the key advantage of having a central bank that can regulate your money supply.

But no, President Bukele decided to take an already-existing cryptocurrency, backed by nothing but the whims of the market, and make it legal tender. Somehow he missed the fact that a currency which rises and falls by 10% in a single day is generally considered bad.

Why? Is he just an idiot? I mean, maybe, though Bukele’s approval rating is astonishingly high. (And El Salvador is… mostly democratic. Unlike, say, Putin’s, I think these approval ratings are basically real.) But that’s not the only reason. My guess is that he was gripped by the same FOMO that has gripped everyone else who evangelizes for Bitcoin. The allure of easy money is often irresistible.

Consider President Bukele’s position. You’re governing a poor, war-torn country which has had economic problems of various types since its founding. When the national currency collapsed a generation ago, the country was put on the US dollar, but that didn’t solve the problem. So you’re looking for a better solution to the monetary doldrums your country has been in for decades.

You hear about a fancy new monetary technology, “cryptocurrency”, which has all the tech people really excited and seems to be making tons of money. You don’t understand a thing about it—hardly anyone seems to, in fact—but you know that people with a lot of insider knowledge of technology and finance are really invested in it, so it seems like there must be something good here. So, you decide to launch a program that will convert your country’s currency from the US dollar to one of these new cryptocurrencies—and you pick the most famous one, which is also extremely valuable, Bitcoin.

Could cryptocurrencies be the future of money, you wonder? Could this be the way to save your country’s economy?

Despite all the evidence that had already accumulated that cryptocurrency wasn’t working, I can understand why Bukele would be tempted by that dream. Just as we’d all like to get free money without having to work, he wanted to save his country’s economy without having to implement costly and unpopular reforms.

But there is no easy money. Not really. Some people get lucky; but they ultimately benefit from other people’s hard work.

The lesson here is deeper than cryptocurrency. Yes, clearly, it was a dumb idea to try to make Bitcoin a national currency, and it will get even dumber if Bukele really does double down on it. But more than that, we must all resist the lure of easy money. If it sounds too good to be true, it probably is.

Why is cryptocurrency popular?

May 30 JDN 2459365

At the time of writing, the price of most cryptocurrencies has crashed, likely due to a ban on conventional banks using cryptocurrency in China (though perhaps also due to Elon Musk personally refusing to accept Bitcoin at his businesses). But for all I know by the time this post goes live the price will surge again. Or maybe they’ll crash even further. Who knows? The prices of popular cryptocurrencies have been extremely volatile.

This post isn’t really about the fluctuations of cryptocurrency prices. It’s about something a bit deeper: Why are people willing to put money into cryptocurrencies at all?

The comparison is often made to fiat currency: “Bitcoin isn’t backed by anything, but neither is the US dollar.”

But the US dollar is backed by something: It’s backed by the US government. Yes, it’s not tradeable for gold at a fixed price, but so what? You can use it to pay taxes. The government requires it to be legal tender for all debts. There are certain guaranteed exchange rights built into the US dollar, which underpin the value that the dollar takes on in other exchanges. Moreover, the US Federal Reserve carefully manages the supply of US dollars so as to keep their value roughly constant.

Bitcoin does not have this (nor does Dogecoin, or Etherium, or any of the other hundreds of lesser-known cryptocurrencies). There is no central bank. There is no government making them legal tender for any debts at all, let alone all of them. Nobody collects taxes in Bitcoin.

And so, because its value is untethered, Bitcoin’s price rises and falls, often in huge jumps, more or less randomly. If you look all the way back to when it was introduced, Bitcoin does seem to have an overall upward price trend, but this honestly seems like a statistical inevitability: If you start out being worthless, the only way your price can change is upward. While some people have become quite rich by buying into Bitcoin early on, there’s no particular reason to think that it will rise in value from here on out.

Nor does Bitcoin have any intrinsic value. You can’t eat it, or build things out of it, or use it for scientific research. It won’t even entertain you (unless you have a very weird sense of entertainment). Bitcoin doesn’t even have “intrinsic value” the way gold does (which is honestly an abuse of the term, since gold isn’t actually especially useful): It isn’t innately scarce. It was made scarce by its design: Through the blockchain, a clever application of encryption technology, it was made difficult to generate new Bitcoins (called “mining”) in an exponentially increasing way. But the decision of what encryption algorithm to use was utterly arbitrary. Bitcoin mining could just as well have been made a thousand times easier or a thousand times harder. They seem to have hit a sweet spot where they made it just hard enough that it make Bitcoin seem scarce while still making it feel feasible to get.

We could actually make a cryptocurrency that does something useful, by tying its mining to a genuinely valuable pursuit, like analyzing scientific data or proving mathematical theorems. Perhaps I should suggest a partnership with Folding@Home to make FoldCoin, the crypto coin you mine by folding proteins. There are some technical details there that would be a bit tricky, but I think it would probably be feasible. And then at least all this computing power would accomplish something, and the money people make would be to compensate them for their contribution.

But Bitcoin is not useful. No institution exists to stabilize its value. It constantly rises and falls in price. Why do people buy it?

In a word, FOMO. The fear of missing out. People buy Bitcoin because they see that a handful of other people have become rich by buying and selling Bitcoin. Bitcoin symbolizes financial freedom: The chance to become financially secure without having to participate any longer in our (utterly broken) labor market.

In this, volatility is not a bug but a feature: A stable currency won’t change much in value, so you’d only buy into it because you plan on spending it. But an unstable currency, now, there you might manage to get lucky speculating on its value and get rich quick for nothing. Or, more likely, you’ll end up poorer. You really have no way of knowing.

That makes cryptocurrency fundamentally like gambling. A few people make a lot of money playing poker, too; but most people who play poker lose money. Indeed, those people who get rich are only able to get rich because other people lose money. The game is zero-sum—and likewise so is cryptocurrency.

Note that this is not how the stock market works, or at least not how it’s supposed to work (sometimes maybe). When you buy a stock, you are buying a share of the profits of a corporation—a real, actual corporation that produces and sells goods or services. You’re (ostensibly) supplying capital to fund the operations of that corporation, so that they might make and sell more goods in order to earn more profit, which they will then share with you.

Likewise when you buy a bond: You are lending money to an institution (usually a corporation or a government) that intends to use that money to do something—some real actual thing in the world, like building a factory or a bridge. They are willing to pay interest on that debt in order to get the money now rather than having to wait.

Initial Coin Offerings were supposed to be away to turn cryptocurrency into a genuine investment, but at least in their current virtually unregulated form, they are basically indistinguishable from a Ponzi scheme. Unless the value of the coin is somehow tied to actual ownership of the corporation or shares of its profits (the way stocks are), there’s nothing to ensure that the people who buy into the coin will actually receive anything in return for the capital they invest. There’s really very little stopping a startup from running an ICO, receiving a bunch of cash, and then absconding to the Cayman Islands. If they made it really obvious like that, maybe a lawsuit would succeed; but as long as they can create even the appearance of a good-faith investment—or even actually make their business profitable!—there’s nothing forcing them to pay a cent to the owners of their cryptocurrency.

The really frustrating thing for me about all this is that, sometimes, it works. There actually are now thousands of people who made decisions that by any objective standard were irrational and irresponsible, and then came out of it millionaires. It’s much like the lottery: Playing the lottery is clearly and objectively a bad idea, but every once in awhile it will work and make you massively better off.

It’s like I said in a post about a year ago: Glorifying superstars glorifies risk. When a handful of people can massively succeed by making a decision, that makes a lot of other people think that it was a good decision. But quite often, it wasn’t a good decision at all; they just got spectacularly lucky.

I can’t exactly say you shouldn’t buy any cryptocurrency. It probably has better odds than playing poker or blackjack, and it certainly has better odds than playing the lottery. But what I can say is this: It’s about odds. It’s gambling. It may be relatively smart gambling (poker and blackjack are certainly a better idea than roulette or slot machines), with relatively good odds—but it’s still gambling. It’s a zero-sum high-risk exchange of money that makes a few people rich and lots of other people poorer.

With that in mind, don’t put any money into cryptocurrency that you couldn’t afford to lose at a blackjack table. If you’re looking for something to seriously invest your savings in, the answer remains the same: Stocks. All the stocks.

I doubt this particular crash will be the end for cryptocurrency, but I do think it may be the beginning of the end. I think people are finally beginning to realize that cryptocurrencies are really not the spectacular innovation that they were hyped to be, but more like a high-tech iteration of the ancient art of the Ponzi scheme. Maybe blockchain technology will ultimately prove useful for something—hey, maybe we should actually try making FoldCoin. But the future of money remains much as it has been for quite some time: Fiat currency managed by central banks.

Glorifying superstars glorifies excessive risk

Apr 26 JDN 2458964

Suppose you were offered the choice of the following two gambles; which one would you take?

Gamble A: 99.9% chance of $0; 0.1% chance of $100 million

Gamble B: 10% chance of $50,000; 80% chance of $100,000; 10% chance of $1 million

I think it’s pretty clear that you should choose gamble B.

If you were risk-neutral, the expected payoffs would be $100,000 for gamble A and $185,000 for gamble B. So clearly gamble B is the better deal.

But you’re probably risk-averse. If you have logarithmic utility with a baseline and current wealth of $10,000, the difference is even larger:

0.001*ln(10001) = 0.009

0.1*ln(6) + 0.8*ln(11) + 0.1*ln(101) = 2.56

Yet suppose this is a gamble that a lot of people get to take. And furthermore suppose that what you read about in the news every day is always the people who are the very richest. Then you will read, over and over again, about people who took gamble A and got lucky enough to get the $100 million. You’d probably start to wonder if maybe you should be taking gamble A instead.

This is more or less the world we live in. A handful of billionaires own staggering amounts of wealth, and we are constantly hearing about them. Even aside from the fact that most of them inherited a large portion of it and all of them had plenty of advantages that most of us will never have, it’s still not clear that they were actually smart about taking the paths they did—it could simply be that they got spectacularly lucky.

Or perhaps there’s an even clearer example: Professional athletes. The vast majority of athletes make basically no money at sports. Even most paid athletes are in minor leagues and make only a modest living.

There’s certainly nothing wrong with being an amateur who plays sports for fun. But if you were to invest a large proportion of your time training in sports in the hopes of becoming a professional athlete, you would most likely find yourself gravely disappointed, as your chances of actually getting into the major leagues and becoming a multi-millionaire are exceedingly small. Yet you can probably name at least a few major league athletes who are multi-millionaires—perhaps dozens, if you’re a serious fan—and I doubt you can name anywhere near as many minor league players or players who never made it into paid leagues in the first place.

When we spend all of our time focused on the superstars, what we are effectively assessing is the maximum possible income available on a given career track. And it’s true; the maximum for professional athletes and especially entrepreneurs is extremely high. But the maximum isn’t what you should care about; you should really be concerned about the average or even the median.

And it turns out that the same professions that offer staggeringly high incomes at the very top also tend to be professions with extremely high risk attached. The average income for an athlete is very small; the median is almost certainly zero. Entrepreneurs do better; their average and median income aren’t too much worse than most jobs. But this moderate average comes with a great deal of risk; yes, you could become a billionaire—but far more likely, you could become bankrupt.

This is a deeply perverse result: The careers that our culture most glorifies, the ones that we inspire people to dream about, are precisely those that are the most likely to result in financial ruin.

Realizing this changes your perspective on a lot of things. For instance, there is a common lament that teachers aren’t paid the way professional athletes are. I for one am extremely grateful that this is the case. If teachers were paid like athletes, yes, 0.1% would be millionaires, but only 4.9% would make a decent living, and the remaining 95% would be utterly broke. Indeed, this is precisely what might happen if MOOCs really take off, and a handful of superstar teachers are able to produce all the content while the vast majority of teaching mostly amounts to showing someone else’s slideshows. Teachers are much better off in a world where they almost all make a decent living even though none of them ever get spectacularly rich. (Are many teachers still underpaid? Sure. How do I know this? Because there are teacher shortages. A chronic shortage of something is a surefire sign that its price is too low.) And clearly the idea that we could make all teachers millionaires is just ludicrous: Do you want to pay $1 million a year for your child’s education?

Is there a way that we could change this perverse pattern? Could we somehow make it feel more inspiring to choose a career that isn’t so risky? Well, I doubt we’ll ever get children to dream of being accountants or middle managers. But there are a wide range of careers that are fulfilling and meaningful while still making a decent living—like, well, teaching. Even working in creative arts can be like this: While very few authors are millionaires, the median income for an author is quite respectable. (On the other hand there’s some survivor bias here: We don’t count you as an author if you can’t get published at all.) Software engineers are generally quite satisfied with their jobs, and they manage to get quite high incomes with low risk. I think the real answer here is to spend less time glorifying obscene hoards of wealth and more time celebrating lives that are rich and meaningful.

I don’t know if Jeff Bezos is truly happy. But I do know that you and I are more likely to be happy if instead of trying to emulate him, we focus on making our own lives meaningful.

The asymmetric impact of housing prices

Jul 22 JDN 2458323

In several previous posts I’ve talked about the international crisis of high housing prices. Today, I want to talk about some features of housing that make high housing prices particularly terrible, in a way that other high prices would not be.

First, there is the fact that some amount of housing is a basic necessity, and houses are not easily divisible. So even if the houses being built are bigger than you need, you still need some kind of house, and you can’t buy half a house; the best you could really do would be to share it with someone else, and that introduces all sorts of other complications.

Second, t here is a deep asymmetry here. While rising housing prices definitely hurt people who want to buy houses, they benefit hardly anyone.


If you bought a house for $200,000 and then all housing prices doubled so it would now sell for $400,000, are you richer? You might feel richer. You might even have access to home equity loans that would give you more real liquidity. But are you actually richer?

I contend you are not, because the only way for you to access that wealth would be to sell your home, and then you’d need to buy another home, and that other home would also be twice as expensive. The amount of money you can get for your house may have increased, but the amount of house you can get for your house is exactly the same.

Conversely, suppose that housing prices fell by half, and now that house only sells for $100,000. Are you poorer? You still have your house. Even if your mortgage isn’t paid off, it’s still the same mortgage. Your payments haven’t changed. And once again, the amount of house you can get for your house will remain the same. In fact, if you are willing to accept a deed in lieu of foreclosure (it’s bad for your credit, of course), you can walk away from that underwater house and buy a new one that’s just as good with lower payments than what you are currently making. You may actually be richer because the price of your house fell.

Relative housing prices matter, certainly. If you own a $400,000 house and move to a city where housing prices have fallen to $100,000, you are definitely richer. And if you own a $100,000 house and move to a city where housing prices have risen to $400,000, you are definitely poorer. These two effects necessarily cancel out in the aggregate.

But do absolute housing prices matter for homeowners? It really seems to me that they don’t. The people who care about absolute housing prices are not homeowners; they are people trying to enter the market for the first time.
And this means that lower housing prices are almost always better. If you could buy a house for $1,000, we would live in a paradise where it was basically impossible to be homeless. (When social workers encountered someone who was genuinely homeless, they could just buy them a house then and there.) If every home cost $10 million, those who bought homes before the price surge would be little better off than they are, but the rest of us would live on the streets.

Psychologically, people very strongly resist falling housing prices. Even in very weak housing markets, most people will flatly refuse to sell their house for less than they paid for it. As a result, housing prices usually rise with inflation, but don’t usually fall in response to deflation. Rents also display similar rigidity over time. But in reality, lower prices are almost always better for almost everyone.

There is a group of people who are harmed by low housing prices, but it is a very small group of people, most of whom are already disgustingly rich: The real estate industry. Yes, if you build new housing, or flip houses, or buy and sell houses on speculation, you will be harmed by lower housing prices. Of these, literally the only one I care about even slightly is developers; and I only care about developers insofar as they are actually doing their job building housing that people need. If falling prices hurt developers, it would be because the supply of housing was so great that everyone who needs a house could have one.

There is a subtler nuance here, which is that some people may be buying more expensive housing as a speculative saving vehicle, hoping that they can cash out on their house when they retire. To that, I really only have one word of advice: Don’t. Don’t contribute to another speculative housing bubble that could cause another Great Recession. A house is not even a particularly safe investment, because it’s completely undiversified. Buy stocks. Buy all the stocks. Buy a house because you want that house, not because you hope to make money off of it.

And if the price of your house does fall someday? Don’t panic. You may be no worse off, and other people are probably much better off.

The right (and wrong) way to buy stocks

July 9, JDN 2457944

Most people don’t buy stocks at all. Stock equity is the quintessential form of financial wealth, and 42% of financial net wealth in the United States is held by the top 1%, while the bottom 80% owns essentially none.

Half of American households do not have any private retirement savings at all, and are depending either on employee pensions or Social Security for their retirement plans.

This is not necessarily irrational. In order to save for retirement, one must first have sufficient income to live on. Indeed, I got very annoyed at a “financial planning seminar” for grad students I attended recently, trying to scare us about the fact that almost none of us had any meaningful retirement savings. No, we shouldn’t have meaningful retirement savings, because our income is currently much lower than what we can expect to get once we graduate and enter our professions. It doesn’t make sense for someone scraping by on a $20,000 per year graduate student stipend to be saving up for retirement, when they can quite reasonably expect to be making $70,000-$100,000 per year once they finally get that PhD and become a professional economist (or sociologist, or psychologist or physicist or statistician or political scientist or material, mechanical, chemical, or aerospace engineer, or college professor in general, etc.). Even social workers, historians, and archaeologists make a lot more money than grad students. If you are already in the workforce and only expect to be getting small raises in the future, maybe you should start saving for retirement in your 20s. If you’re a grad student, don’t bother. It’ll be a lot easier to save once your income triples after graduation. (Personally, I keep about $700 in stocks mostly to get a feel for what it is like owning and trading stocks that I will apply later, not out of any serious expectation to support a retirement fund. Even at Warren Buffet-level returns I wouldn’t make more than $200 a year this way.)

Total US retirement savings are over $25 trillion, which… does actually sound low to me. In a country with a GDP now over $19 trillion, that means we’ve only saved a year and change of total income. If we had a rapidly growing population this might be fine, but we don’t; our population is fairly stable. People seem to be relying on economic growth to provide for their retirement, and since we are almost certainly at steady-state capital stock and fairly near full employment, that means waiting for technological advancement.

So basically people are hoping that we get to the Wall-E future where the robots will provide for us. And hey, maybe we will; but assuming that we haven’t abandoned capitalism by then (as they certainly haven’t in Wall-E), maybe you should try to make sure you own some assets to pay for robots with?

But okay, let’s set all that aside, and say you do actually want to save for retirement. How should you go about doing it?

Stocks are clearly the way to go. A certain proportion of government bonds also makes sense as a hedge against risk, and maybe you should even throw in the occasional commodity future. I wouldn’t recommend oil or coal at this point—either we do something about climate change and those prices plummet, or we don’t and we’ve got bigger problems—but it’s hard to go wrong with corn or steel, and for this one purpose it also can make sense to buy gold as well. Gold is not a magical panacea or the foundation of all wealth, but its price does tend to correlate negatively with stock returns, so it’s not a bad risk hedge.

Don’t buy exotic derivatives unless you really know what you’re doing—they can make a lot of money, but they can lose it just as fast—and never buy non-portfolio assets as a financial investment. If your goal is to buy something to make money, make it something you can trade at the click of a button. Buy a house because you want to live in that house. Buy wine because you like drinking wine. Don’t buy a house in the hopes of making a financial return—you’ll have leveraged your entire portfolio 10 to 1 while leaving it completely undiversified. And the problem with investing in wine, ironically, is its lack of liquidity.

The core of your investment portfolio should definitely be stocks. The biggest reason for this is the equity premium; equities—that is, stocks—get returns so much higher than other assets that it’s actually baffling to most economists. Bond returns are currently terrible, while stock returns are currently fantastic. The former is currently near 0% in inflation-adjusted terms, while the latter is closer to 16%. If this continues for the next 10 years, that means that $1000 put in bonds would be worth… $1000, while $1000 put in stocks would be worth $4400. So, do you want to keep the same amount of money, or quadruple your money? It’s up to you.

Higher risk is generally associated with higher return, because rational investors will only accept additional risk when they get some additional benefit from it; and stocks are indeed riskier than most other assets, but not that much riskier. For this to be rational, people would need to be extremely risk-averse, to the point where they should never drive a car or eat a cheeseburger. (Of course, human beings are terrible at assessing risk, so what I really think is going on is that people wildly underestimate the risk of driving a car and wildly overestimate the risk of buying stocks.)

Next, you may be asking: How does one buy stocks? This doesn’t seem to be something people teach in school.

You will need a brokerage of some sort. There are many such brokerages, but they are basically all equivalent except for the fees they charge. Some of them will try to offer you various bells and whistles to justify whatever additional cut they get of your trades, but they are almost never worth it. You should choose one that has a low a trade fee as possible, because even a few dollars here and there can add up surprisingly quickly.

Fortunately, there is now at least one well-established reliable stock brokerage available to almost anyone that has a standard trade fee of zero. They are called Robinhood, and I highly recommend them. If they have any downside, it is ironically that they make trading too easy, so you can be tempted to do it too often. Learn to resist that urge, and they will serve you well and cost you nothing.

Now, which stocks should you buy? There are a lot of them out there. The answer I’m going to give may sound strange: All of them. You should buy all the stocks.

All of them? How can you buy all of them? Wouldn’t that be ludicrously expensive?

No, it’s quite affordable in fact. In my little $700 portfolio, I own every single stock in the S&P 500 and the NASDAQ. If I get a little extra money to save, I may expand to own every stock in Europe and China as well.

How? A clever little arrangement called an exchange-traded fund, or ETF for short. An ETF is actually a form of mutual fund, where the fund purchases shares in a huge array of stocks, and adjusts what they own to precisely track the behavior of an entire stock market (such as the S&P 500). Then what you can buy is shares in that mutual fund, which are usually priced somewhere between $100 and $300 each. As the price of stocks in the market rises, the price of shares in the mutual fund rises to match, and you can reap the same capital gains they do.

A major advantage of this arrangement, especially for a typical person who isn’t well-versed in stock markets, is that it requires almost no attention at your end. You can buy into a few ETFs and then leave your money to sit there, knowing that it will grow as long as the overall stock market grows.

But there is an even more important advantage, which is that it maximizes your diversification. I said earlier that you shouldn’t buy a house as an investment, because it’s not at all diversified. What I mean by this is that the price of that house depends only on one thing—that house itself. If the price of that house changes, the full change is reflected immediately in the value of your asset. In fact, if you have 10% down on a mortgage, the full change is reflected ten times over in your net wealth, because you are leveraged 10 to 1.

An ETF is basically the opposite of that. Instead of its price depending on only one thing, it depends on a vast array of things, averaging over the prices of literally hundreds or thousands of different corporations. When some fall, others will rise. On average, as long as the economy continues to grow, they will rise.

The result is that you can get the same average return you would from owning stocks, while dramatically reducing the risk you bear.

To see how this works, consider the past year’s performance of Apple (AAPL), which has done very well, versus Fitbit (FIT), which has done very poorly, compared with the NASDAQ as a whole, of which they are both part.

AAPL has grown over 50% (40 log points) in the last year; so if you’d bought $1000 of their stock a year ago it would be worth $1500. FIT has fallen over 60% (84 log points) in the same time, so if you’d bought $1000 of their stock instead, it would be worth only $400. That’s the risk you’re taking by buying individual stocks.

Whereas, if you had simply bought a NASDAQ ETF a year ago, your return would be 35%, so that $1000 would be worth $1350.

Of course, that does mean you don’t get as high a return as you would if you had managed to choose the highest-performing stock on that index. But you’re unlikely to be able to do that, as even professional financial forecasters are worse than random chance. So, would you rather take a 50-50 shot between gaining $500 and losing $600, or would you prefer a guaranteed $350?

If higher return is not your only goal, and you want to be socially responsible in your investments, there are ETFs for that too. Instead of buying the whole stock market, these funds buy only a section of the market that is associated with some social benefit, such as lower carbon emissions or better representation of women in management. On average, you can expect a slightly lower return this way; but you are also helping to make a better world. And still your average return is generally going to be better than it would be if you tried to pick individual stocks yourself. In fact, certain classes of socially-responsible funds—particularly green tech and women’s representation—actually perform better than conventional ETFs, probably because most investors undervalue renewable energy and, well, also undervalue women. Women CEOs perform better at lower prices; why would you not want to buy their companies?

In fact ETFs are not literally guaranteed—the market as a whole does move up and down, so it is possible to lose money even by buying ETFs. But because the risk is so much lower, your odds of losing money are considerably reduced. And on average, an ETF will, by construction, perform exactly as well as the average performance of a randomly-chosen stock from that market.

Indeed, I am quite convinced that most people don’t take enough risk on their investment portfolios, because they confuse two very different types of risk.

The kind you should be worried about is idiosyncratic risk, which is risk tied to a particular investment—the risk of having chosen the Fitbit instead of Apple. But a lot of the time people seem to be avoiding market risk, which is the risk tied to changes in the market as a whole. Avoiding market risk does reduce your chances of losing money, but it does so at the cost of reducing your chances of making money even more.

Idiosyncratic risk is basically all downside. Yeah, you could get lucky; but you could just as well get unlucky. Far better if you could somehow average over that risk and get the average return. But with diversification, that is exactly what you can do. Then you are left only with market risk, which is the kind of risk that is directly tied to higher average returns.

Young people should especially be willing to take more risk in their portfolios. As you get closer to retirement, it becomes important to have more certainty about how much money will really be available to you once you retire. But if retirement is still 30 years away, the thing you should care most about is maximizing your average return. That means taking on a lot of market risk, which is then less risky overall if you diversify away the idiosyncratic risk.

I hope now that I have convinced you to avoid buying individual stocks. For most people most of the time, this is the advice you need to hear. Don’t try to forecast the market, don’t try to outperform the indexes; just buy and hold some ETFs and leave your money alone to grow.

But if you really must buy individual stocks, either because you think you are savvy enough to beat the forecasters or because you enjoy the gamble, here’s some additional advice I have for you.

My first piece of advice is that you should still buy ETFs. Even if you’re willing to risk some of your wealth on greater gambles, don’t risk all of it that way.

My second piece of advice is to buy primarily large, well-established companies (like Apple or Microsoft or Ford or General Electric). Their stocks certainly do rise and fall, but they are unlikely to completely crash and burn the way that young companies like Fitbit can.

My third piece of advice is to watch the price-earnings ratio (P/E for short). Roughly speaking, this is the number of years it would take for the profits of this corporation to pay off the value of its stock. If they pay most of their profits in dividends, it is approximately how many years you’d need to hold the stock in order to get as much in dividends as you paid for the shares.

Do you want P/E to be large or small? You want it to be small. This is called value investing, but it really should just be called “investing”. The alternatives to value investing are actually not investment but speculation and arbitrage. If you are actually investing, you are buying into companies that are currently undervalued; you want them to be cheap.

Of course, it is not always easy to tell whether a company is undervalued. A common rule-of-thumb is that you should aim for a P/E around 20 (20 years to pay off means about 5% return in dividends); if the P/E is below 10, it’s a fantastic deal, and if it is above 30, it might not be worth the price. But reality is of course more complicated than this. You don’t actually care about current earnings, you care about future earnings, and it could be that a company which is earning very little now will earn more later, or vice-versa. The more you can learn about a company, the better judgment you can make about their future profitability; this is another reason why it makes sense to buy large, well-known companies rather than tiny startups.

My final piece of advice is not to trade too frequently. Especially with something like Robinhood where trades are instant and free, it can be tempting to try to ride every little ripple in the market. Up 0.5%? Sell! Down 0.3%? Buy! And yes, in principle, if you could perfectly forecast every such fluctuation, this would be optimal—and make you an almost obscene amount of money. But you can’t. We know you can’t. You need to remember that you can’t. You should only trade if one of two things happens: Either your situation changes, or the company’s situation changes. If you need the money, sell, to get the money. If you have extra savings, buy, to give those savings a good return. If something bad happened to the company and their profits are going to fall, sell. If something good happened to the company and their profits are going to rise, buy. Otherwise, hold. In the long run, those who hold stocks longer are better off.

What you can do to protect against credit card fraud

JDN 2457923

This is the second post in my ongoing series on financial fraud, but it’s also some useful personal financial advice. One of the most common forms of fraud, which I have experienced, and most Americans will experience at some point in their lives, is credit card fraud. The US leads the world in credit card fraud, accounting for 47% of all money stolen by this means. In most countries credit card fraud is declining, but not here.

The good news is that there are several things you can do to reduce both the probability of being victimized and the harm you will suffer if you are. I am of course not the first to make such recommendations; similar lists have been made by the Wall Street Journal, Consumer Reports, and even the FTC itself.

1. The first and simplest is to use fewer credit cards.

It is a good idea to have at least one credit card, because you can build a credit history this way which will help you get larger loans such as car loans and home loans later. The best thing to do is to use it for regular purchases and then pay it off as quickly as you can. The higher the interest rate, the more imperative it is to pay it quickly.

More credit cards means that you have more to keep track of, and more that can be stolen; it also generally means that you have larger total credit limits, which is a mixed blessing at best. You have more liquidity that way, to buy things you need; but you also have more temptation to buy things you don’t actually need, and more risk of losing a great deal should any of your cards be stolen.

2. Buy fewer things online, and always from reputable merchants.

This is one I certainly preach more than I practice; I probably buy as much online now as I do in person. It’s hard to beat the combination of higher convenience, wider selection, and lower prices. But buying online is the most likely way to have your credit card stolen (and it is certainly how mine was stolen a few years ago).

The US is unusual among developed countries because we still mainly use magnetic-strip cards, whereas most countries have switched to the EMV system of chip-based cards that provide more security. But this security measure is really quite overrated; it can’t protect against “card not present” fraud, which is by far the most common. Unless and until you can somehow link up the encrypted chips to your laptop in order to use them to pay online, the chips will do little to protect against fraud.

3. Monitor your bank and credit card statements regularly.

This is something you should be doing anyway. Online statements are available from just about every major bank and credit union, and you can check them at any time, any day. Watching these online statements will help you keep track of your spending, manage your budget, and, yes, protect against fraud, because the sooner you see and report a suspicious transaction the more likely you are to recover the money.

4. Use secure passwords, don’t re-use passwords, and use a secure password manager.

Most people still use remarkably insecure passwords for their online accounts. Hacking your online accounts —especially your online retail accounts, like Amazon—typically means being able to steal your credit cards. As we move into the cyberpunk future, personal security will increasingly be coextensive with online security, and until we find something better, that means good passwords.

Passwords should be long, complicated, and not easily tied to anything about you. To remember them, I highly recommend the following technique: Write a sentence of several words, and then convert the words of that sentence into letters and numbers. For example (obviously don’t use this particular example; the whole point is for passwords to be unique), the sentence “Passwords should be long, complicated, and not easily tied to anything about you.” could become the password “Psblcanet2aau”.

Human long-term memory is encoded in something very much like narrative, so you can make a password much more memorable by making it tell a story. (Literally a story if you like: “Once upon a time, in a land far away, there were seven dwarves who lived in a forest.” could form the password “1uatialfatw7dwliaf”.) If you used the whole words, it would be far too long to fit in most password systems; but by condensing it into letters, you keep it memorable while allowing it to fit. The first letters of English words are not quite random—some letters are much more common than others, for example—but as long as the password is long enough this doesn’t make it substantially easier to guess.

If you have any doubts about the security of your password, do the following: Generate a new password by the same method you used to generate that one, and then try the new password—not the old password—in an entropy checking utility such as https://howsecureismypassword.net/. The utility will tell you approximately how long it would take to guess your password by guessing random characters using current technology. This is really an upper limit—computers will get faster, and by knowing things about you, hackers can improve upon random guessing substantially—but a good password should at least be in the thousands or millions of years, while a very bad password (like the word “password” itself) can literally be in the nanoseconds. (Actually if you play around you can generate passwords that can take far longer, even “12 tredecillion years” and the like, but they are generally too long to actually use.) The reason not to use your actual password is that there is a chance, however remote, that it could be intercepted while you were doing the check. But by checking the method, you can ensure that you are generating passwords in an effective way.

After you’ve generated all these passwords, how do you remember them all? It’s unreasonable to expect you to keep them all in your head. Instead, you can just keep a few of the most important ones in your head, including a master password that you then use for a password manager like LastPass or Keeper. Password managers are frequently rated by sites like PC Mag, CNET, Consumer Affairs, and CSO. Get one that is free and top-rated; there’s no reason to pay when the free ones are just as good, and no excuse for getting any less than the best when the best ones are free.

The idea of a password manager makes some people uncomfortable—aren’t you handing your passwords over to someone else?—so let me explain it a little. You aren’t actually handing over your passwords, first of all; a reputable password manager will actually encrypt your passwords locally, and then only transmit encrypted versions of them to the site that operates the password manager. This means that no one—not the company, not even you—can access those passwords without knowing the master password, so definitely make sure you remember that master password.

In theory, it would be better to just remember different 27-character alphanumeric passwords for each site you use online. This is indisputable. Encryption isn’t perfect, and theoretically someone might be able to recover your passwords even from Keeper or LastPass. But that is astronomically unlikely, and what’s far more likely is that if you don’t use a password manager, you will forget your passwords, or re-use them and get them stolen, or else make them too simple and allow them to be guessed. A password manager allows you to maintain dozens of distinct, very complex passwords, and even update them regularly, all while remembering only one or a few. In practice, this is what provides the best security.

5. Above all, report any suspicious activity immediately.

This one I cannot emphasize enough. If you do nothing else, do this. If you ever have any reason to suspect that your credit card might have been compromised, call your bank immediately. Get them to cancel the card, send you a new one, and check any recent transactions.

Do this if you lose your wallet. Do it if you see something weird on your online statement. Do it if you bought something from an online retailer that seemed a little sketchy. Do it if you just have a weird hunch and something doesn’t feel right. The cost of doing this is a minor inconvenience; the benefit could be thousands of dollars.

If you do report a stolen card, in most cases you won’t be held liable for a penny—the credit card company will have to cover any losses. But if you don’t, you could end up making payments on interest on a balance that a thief ran up on your behalf.

If we all do this, credit card fraud could become a thing of the past. Now, about those interest rates…