Archive for the 'Finance' Category

Crypto, Gold and Dollars

I continue to struggle with the question of where cryptocurrency gets its value.

(Note: When I say “value”, I mean private value, as reflected in the price. Social value is a whole separate question, for a separate blogpost.)

To be fair, I also struggle a bit with the question of where gold and dollars get their value. So let’s consider some of the reasons various assets might be valuable, and ask which arguments apply to other assets.

1. Gold is valuable because you can use it to make jewelry and electronics. I have no doubt that this is true (which is not the same thing as saying that this is the only reason gold is valuable.)

2. Dollars are valuable because (at least if you are an American) you can use them to pay your taxes. One hears this all the time, and I plead guilty to parroting it from time to time in the past. But it’s stopped making any sense to me. Here’s why: Taxes are foreseeable. In order to pay my taxes on April 15, I don’t need to hold dollars on April 13, let alone in January, February or March. Instead, I either borrow from a home equity line or sell off some bonds on the morning of April 15, and hold the money until the government cashes my check a week or so later. That’s a pretty small contribution to the annual demand for money.

To put this another way, one billion people paying $100 tax bills does not create a demand for a stock of 100 billion dollars. Instead, it creates a demand for 100 billion dollars for about 2% of the year.

Notice then, that despite the superficial similarity, argument number 1 (for gold) and argument number 2 (for dollars) are crucially different, because in order to have gold jewelry or gold electronics, you’ve got to have gold pretty much permanently employed as jewelry or electronics, whereas in order to pay your taxes with dollars, you can hire your dollars on the spot market and then be rid of them.

3. Dollars are valuable because you can use them to make small unexpected purchases. Yes, this makes sense. I have a $20 bill in my pocket right now precisely in case I want to buy some ice cream on a whim. When I go to a street fair, I carry even more.

4. Dollars are valuable because you can use them to make large, planned, and (if you care about this) anonymous transactions. Presumably this is why a lot of dollars spend a lot of time in suitcases traveling back and forth between the United States and Colombia. I buy this one.

5. Crypto (e.g. Bitcoin) is valuable because you can use them to make large, planned, and (if you care about this) irreversible transactions. I buy this one, but as you’ll see below, I don’t think it can explain a high price for Bitcoins.

Now: How does all of this apply to understanding why people hold dollars, gold and crypto?

1. There is, I think, no good analogue of jewelry/electronics when it comes to Bitcoin (or for that matter when it comes to dollars). That’s one step toward understanding gold and zero steps toward understanding Bitcoin.

2. There is also no good analogue of paying taxes when it comes to Bitcoin. On the other hand, as noted above, I’ve stopped believing this explains much of anything anyway, so I’ll count this as zero steps toward understanding anything.

3. For small unexpected purchases, at least with current technology, dollars seem to clearly dominate Bitcoin, for a variety of reasons including (most crucially) the lack of transaction fees. So I’m going to count this as one step toward understanding dollars and zero steps toward understanding Bitcoin.

4,5. That leaves large, anonymous transactions, and/or transactions that you want to be irreversible. For this, I believe Bitcoins are often far better than dollars. But (you might say paradoxically), this very feature should make Bitcoins less valuable, not moreso. Here’s why: If I want to move a lot of wealth around the world using dollars, I need to hold a lot of dollars for a substantial period of time. If I and my trading partners want our transactions to stay anonymous, we might hold on to those dollars for a much longer time, rather than facing the trouble of re-acquiring them the next time we need them. But if I want to move a lot of wealth around the world using Bitcoin, I can (not with perfect ease, but a lot more easily than with dollars) acquire them moments before I want to transfer them, and be done with them. There’s no reason for me to tie up my wealth in a non-interest bearing asset before it’s absolutely necessary — and with Bitcoin, relative to dollars, it’s not absolutely necessary until quite late in the game.

So — and again, call this a paradox if you want to: The better Bitcoin serves its purposes, the less it should cost (in terms of dollars). If Bitcoin (or some other cryptocurrency) improves to the point where nobody has any reason to hold it for more than a second, its price will be close to zero. One reason dollars are worth as much as they are is that dollars are relatively clumsy, so to use them, you’ve got to hold them a while.

That, then, is one small step for dollars and zero steps for Bitcoin.

I am not saying there’s no reason Bitcoin should be valuable. I’m saying that whatever the reason might be, I don’t get it. And I’m pretty sure that most of the things you hear on this subject are just plain wrong.

There is another reason why Bitcoin is harder to understand than dollars, and that’s this: Dollars have just one price (basically the number of apples or haircuts you have to sell to acquire a dollar). Bitcoins have two prices — the number of dollars you need to buy a Bitcoin and the dollar value of the fees you pay every time you transact. Any argument that starts with “demand is high (or supply is limited) so the price should be high” is instantly suspect until one sorts out which of the two prices is being explained here, and why. But that’s a separate topic, which I already blogged on last week, so I’ll stop here and end with a question:

Can anyone give me a plausible reason (not necessarily a slam-dunk correct reason, just a plausible one) why cryptocurrency should have any value at all, except during the course of a speculative bubble?

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Mamas, Don’t Let Your Babies Grow Up to Be Dollar Cost Averagers

If you’re a novice investor, looking to get into anything from the stocks to Bitcoin, someone is going to tell you that you can reduce your risk by Dollar Cost Averaging — that is, investing the same dollar amount every month. That way, this person will tell you, you are buying more of the asset when its price is low and less when it’s high.

Please do not take investment advice from this person.

I explained in The Armchair Economist why the above argument is just plain wrong, and why Dollar Cost Averaging is actually riskier than a Readjustment strategy where you invest (say) $1000 and then periodically adjust your total investment up or down as necessary to maintain its value. The logic is compelling. But the sort of people who Dollar Cost Average tend not to be the sort of people with much of an appetite for logic. So today let’s go down a different road. I’ve actually done some calculations to show you how the two strategies are likely to pan out.

Imagine a (very volatile) asset, currently selling for $1, which either doubles or halves in value each month, with equal probability. [I know, I know, the asset you’re looking to buy behaves very differently than this one. So feel free to make some other set of assumptions and re-do my calculations. You won’t get exactly the same outcomes, but you’ll probably get outcomes that are similar in spirit.]

Now let’s imagine one hundred Dollar-Cost Averagers, each investing one dollar per month for 10 months. At the end of that ten months, the average investor will be ahead by about $30. That’s not bad.

Let’s also imagine one hundred Readjusters who each invest $11.83 up front and then, at the end of each month, either withdraw or deposit funds to bring their investment right back to $11.83. Why $11.83? Because that way, these hundred Readjusters will earn, on average, exactly the same $30 that the Dollar-Cost-Averagers earn over the course of ten months.

Okay, both strategies do equally well on average. But of course, if you’re one of these investors, you probably won’t be average. So I set my computer to calculating the distribution of outcomes for each group. Here is the result, with the DCA investors on top and the Readjustment investors on the bottom:

The blue guys have actually lost money. The green guys haven’t lost anything, but they’ve gained less than the average $30. The yellow guys have done better than average, and the red guys have done better still, earning over $90, which is three times the average.

Here’s the good news for the Dollar Cost Averagers: Nine of them have earned over $90, whereas only one Readjuster has earned over $90. That’s pretty much the end of the good news. In the money-losing blue category, there are far fewer Readjusters than Dollar-Cost-Averagers — about 17 versus 48. That’s right; almost half the Dollar-Cost-Averagers lose money, while only about 1/6 of the Readjusters do. 61% of the Readjusters are in the very happy yellow category, earning between $30 and $90. Only 13% of the Dollar-Cost-Averagers make it into that bracket.

Does that prove that Dollar-Cost-Averaging is inferior to Readjustment? Of course not. It all depends on what you’re looking for. Dollar-Cost-Averagers are more likely to lose money, and more likely to earn below-average returns, but in exchange, they get a 9% chance of extraordinary success while their Readjusting neighbors have only a 1% chance. Maybe that’s a gamble you want to take. That’s fine. In other words, it makes perfectly good sense to choose Dollar Cost Averaging in order to increase your risk. The guy who told you to use it to decrease your risk is still 100% wrong.

There are, of course, various real world considerations that got left out here. Different investment strategies, for example, have different tax consequences, and you might want to modify your strategy for that reason, but there’s no reason to think that after those modifications, you should be doing anything like Dollar Cost Averaging.

I want to reiterate that even before I did these calculations, I knew (at least roughly) how they were going to come out, because I trust the underlying logic (which, again, can be found in The Armchair Economist). The larger moral is that logic is trustworthy.

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Aaagh!

I am buying a house, and am therefore faced with the choice between a 15 year mortgage at 2.875% and a 30 year mortgage at 3.49% (as of a couple of days ago; those rates have probably changed a little by now).

The main advantage of the 15 year mortgage is that it comes with a lower interest rate and, because I’m making larger monthly payments, it keeps my money out of the stock market, which is good if the market tanks. The main advantage of the 30 year mortgage is that it allows me to keep more money in the stock market for a much longer time, which is good if the market does well.

How should I weigh those factors? Economics tells me that I will solve this problem by forecasting the return on equities over each of the next 30 years, and computing, on the basis of my forecast, which mortgage will leave me richer in the long run. No, that’s not quite right. Actually, economics tells me that I’ll make many forecasts, assign each one a probability, and thereby compute two probability distributions for my future net worth and then choose the distribution I prefer.

Now let’s get serious.

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Dow 36,000 12,000

In 1999, the journalist James K. Glassman co-authored a book called Dow 36,000. The eponymous prediction did not pan out. A couple of days ago, Glassman popped up in the Wall Street Journal, trying to explain where he went wrong. “The world changed”, explains Glassman. The relative economic standing of the U.S. is declining. Plus terrorists and economic instability made the world a riskier place.

But there’s a better explanation. Glassman’s story never made sense in the first place, for reasons Paul Krugman explained when the book first came out.

Glassman has a substantial history of confusion about how financial markets work. Ten years before he wrote Dow 36,000, he was explaining in The New Republic that stocks are better investments than real estate:

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Today’s Post is Optional

When I was young, the pricing of stock options and other derivatives seemed like an obscure black art. Then one day Don Brown showed me a simple example that made everything crystal clear. Today I’ll share an even simpler version of Don’s example.

Imagine a stock that sells for $10 today. A year from now it will be worth either $20 or $5. (Yes, I know that real-world stocks have a wider range of possible future prices. That’s why I called this a simple example.) What would you pay for an option that allows you to buy the stock next year at today’s $10 price?

You might think you’d need a whole lot more information to answer that question. You might expect, for example, that the answer depends on the probability that the stock price will go up to $20 rather than down to $5. You might expect the answer to depend on how much traders are willing to pay for a given dollop of risk-avoidance.

But the amazing fact is that none of that matters. The only extra bit of information you need is the interest rate.

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How to Get Rich

monopolymanA few years ago, billionaire David Koch donated $25 million to his alma mater, Deerfield Academy. From his presentation speech:

You might ask: How does David Koch happen to have the wealth to be so generous? Well, let me tell you a story. It all started when I was a little boy. One day, my father gave me an apple. I soon sold it for five dollars and bought two apples and sold them for ten. Then I bought four apples and sold them for twenty. Well, this went on day after day, week after week, month after month, year after year, until my father died and left me three hundred million dollars.

Now on the one hand I love this story. But wouldn’t it have been more plausible if he’d sold the first apple for, say, a nickel?

Well, maybe not much more plausible. Doubling your money every day, it takes just a little over a month to grow a nickel into three hundred million dollars.

I still like the story though.

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Eggs and Baskets

eggsOver at Marginal Revolution, Tyler Cowen puzzles over Ian Ayres‘s take on investment strategy:

In our risk-reducing implementation, we want people to borrow to invest more when young and then invest less when older. The lifetime exposure to stocks is held constant. Compare the following two investment paths:

Option 1:

  • Year 1 Invest $1
  • Year 2 Invest $2
  • Year 3 Invest $3

Option 2:

  • Year 1 Invest $2
  • Year 2 Invest $2
  • Year 3 Invest $2

Our view is that option 2 is the safer bet.

(Note that when Ayres says “invest $2” he does not mean “Add $2 to your investment”. He means “Have a total of $2 invested.” So under Option 1 you add a dollar a year to your investment. Under Option 2 you do all your investment up front and then scoop out all the profits every year (or scoop replacement funds in if you’ve taken losses). Option 1, in other words, is the widely touted but thoroughly ridiculous strategy often called Dollar Cost Averaging.

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