Many Zeros

Assorted thoughts on economics.

Views on Financial Regulation from the Lindau Meeting




Martin Hellwig was the first to reply, noting that the question “defined a very interesting research programme”, and adding that we should try to design mechanisms to deal with incentive problems in a robust enough way that they don’t become obsolete when the nature of social interactions changes.





Bitcoin, Bubbles and Value

Bubbles are a controversial topic among economists. Robert Shiller, the academic most prominently associated with bubbles, shared this year’s economics Nobel Prize with Eugene Fama and Lars Peter Hansen. In a 2010 New Yorker interview, Fama denied the meaningfulness of the very concept of bubbles. The related concept of value is less controversial among economists, but economists’ shared understanding of value can seem strange (and perhaps offensive) to non-economists. A discussion of the value of the digital currency Bitcoin may shed some light on both of these concepts.

When you buy Bitcoins, what you’re paying for is an entry in a digital ledger. Each of the millions of computers running the Bitcoin software has a copy of this ledger, which now takes up more than 12 gigabytes of storage space. However, there is no central authority that promises to redeem Bitcoins for anything else. It’s therefore pretty remarkable that people are indeed willing to pay for Bitcoins.

The obvious retort is that the same could be said for the conventional currencies that people use to buy Bitcoins. Although the digital entries in people’s bank accounts can be redeemed for paper currency, the paper itself is not very valuable. In the financial year 2012/13, it cost the Bank of England just £40 million to produce 760 million banknotes—an average of about 5p per note. This means UK banknotes are currently worth between 100 and 1,000 times as much as the paper they’re printed on.

These impressive ratios do not survive when a government prints too much of its currency. The infamous German hyperinflation in the early 1920s led to banknotes being used as wallpaper. The possibility of such a dramatic collapse in value is what people are trying to emphasise when they describe fiat currencies as “intrinsically valueless”. Strictly speaking, however, there is no such thing as intrinsic value—at least according to economists’ definition of value.

For economists, a thing is valuable to the extent that it satisfies people’s wants. The difficulty is that different goods satisfy different wants, so there is no natural unit of value in which to compare them directly. Instead, economists measure the value of things in terms of what people are willing to exchange for them. In the language of economics, value is just another word for price or exchange rate. “Gold is more valuable than rice” is not an ethical judgement—it’s a factual claim that people will give you more dollar bills for a kilogram of gold than for a kilogram of rice (at the time of writing, more than 100,000 times as many: $38,320 vs. 34 cents). The economic test of Bitcoin’s value is therefore what people will pay for one.

In everyday life, people measure the value of things in units of their country’s currency, precisely because the vast majority of transactions involve exchanging that currency for goods or services. This is what economists mean by money serving as a unit of account and as a universally accepted medium of exchange. (The standard definition of money requires that it also serve as a store of value.)

It makes sense to call Bitcoin a currency, because like other currencies it is a financial asset that pays no interest or dividends. However, Bitcoin doesn’t yet meet the standard definition of money. A growing number of online and brick-and-mortar stores accept Bitcoin as payment, but it’s still a long way from universal acceptance. Moreover, as far as I’m aware, none of the places that accept Bitcoin set their prices in Bitcoin. Instead, they set prices in their local currency and calculate the Bitcoin total at the checkout according to the current exchange rate. If they use a payment processor like BitPay, they never even have to handle any Bitcoins themselves. As Ryan Avent has pointed out, in this sense Bitcoin is a foreign currency for everyone who uses it, meaning it isn’t a unit of account. Bitcoin’s exchange rate against other currencies has been extremely volatile so far, so it’s also a very risky way to store value.

This brings us to the question of whether there is a Bitcoin bubble. In a 2008 EconTalk podcast, Shiller defined a bubble as “an unwarranted asset price boom”. Given that economists measure the value of things by what people are prepared to pay for them, how would they judge whether an asset’s market price is warranted or not? The answer lies in what Russ Roberts, EconTalk’s host, added to Shiller’s definition: “not related to fundamentals”.

Unlike intrinsic value, fundamental value does have an economic meaning in certain contexts. The fundamental value of a company is calculated by adding up its expected future profits, with a lower weight on profits further in the future to account for people’s impatience. Similarly, economists often use housing rents as a reference point for assessing whether houses are over- or under-valued. However, for many assets, such reference points are hard to come by, and I believe this explains much of the disagreement over bubbles.

What, if anything, might pin down the fundamental value of Bitcoins? I agree with Timothy Lee that Bitcoin is less likely to replace conventional currencies than to coexist alongside them as a platform for financial innovation. Bitcoin has lower transaction fees and much greater potential for anonymity than existing electronic payment systems. However, as Megan McArdle points out, much will depend on whether governments clamp down on Bitcoin exchanges to limit Bitcoin’s use for illegal purposes such as gambling, buying drugs and evading capital controls.

In the podcast, Shiller goes on to note that bubbles are defined by the fact that they burst. By my reckoning there have been at least three major increases in the dollar value of Bitcoin so far—each completely dwarfing the previous one, and each followed by a sharp decline.

The earliest data for the US dollar/Bitcoin exchange rate comes from the Mt Gox exchange, going back to July 2010. In the first three months of trading, Bitcoin fluctuated between 5 and 10 cents, but by the end of the year it had reached 30 cents. The first huge spike (and the only one that still shows up on charts that include today’s price) began in late April 2011, with Bitcoin hitting a peak of around $30 on 8 June before crashing below $15 just three days later. By the end of the year, Bitcoin was down below $5 again. The first half of 2012 was uneventful by Bitcoin standards, but the price took off again after May, climbing above $13 by the end of the year.

Bitcoin price in US dollars on Mt Gox, July 2010 to end of 2012

Bitcoin quickly gathered momentum in early 2013 and exploded in late March, hitting a peak price of $266 on 10 April before plunging to $50 over the course of the following week. (For visual clarity, I’ve plotted the closing price, so intra-day peaks and troughs don’t show up on the graphs.) By early October, the price had recovered to around $125, and by the end of the month it was around $200.

Bitcoin price in US dollars on Mt Gox, July 2010 to mid-October 2013

November and December of 2013 have been Bitcoin’s most dramatic months so far. 29 November saw the highest price paid for a Bitcoin on Mt Gox to date: $1,242—within $12 of the symbolic threshold of the price of a troy ounce of gold that day. The Bitcoin price has been extremely volatile since then, dipping to a low of $455 on 18 December. At the time of writing, the price was around $700.

Bitcoin price in US dollars on Mt Gox, July 2010 to December 2013

A lesson to be drawn from Bitcoin’s history so far is that bubbles are relative. A speculator who bought at the April 2013 peak and sold at the (current) December trough would still have roughly doubled his money. Still, anyone hoping to get in on the next Bitcoin bubble should heed the message for which Fama was awarded his share of the Nobel Prize: short-run asset price movements are extremely unpredictable.

All-or-Nothing Crowdfunding as a Coordinating Device

Suppose you have an idea for a creative project, but you don’t have enough money to get it off the ground. If you can’t persuade your family and friends or a bank to lend you the money, you might turn to your potential customers for funding. If you can convince enough of them to pay you in advance, you’ll have enough money to get your project underway.

Consider an entrepreneur trying to fund a new product by taking pre-orders through her own website. Suppose that she offers a discount on the retail price as an incentive for people to pre-order. If her business goes bankrupt before production finishes, anyone who took a leap of faith by pre-ordering will lose their money. This means that potential customers have to worry about what other potential customers will do. If they think the project will succeed, they are better off pre-ordering and getting the discount than waiting and paying the full retail price. However, if they think that very few others will pre-order and the project will fail, it makes sense for them to wait and see what happens.

For example, suppose the retail price is $20 and the pre-order price is $10. A potential customer who values the product at $30 and thinks the probability of the project succeeding is p faces the following options:

  • Pre-order, and get ($30−$10) of consumer surplus with probability p and lose $10 with probability 1−p.
  • Wait, and get ($30−$20) of consumer surplus with probability p and nothing with probability 1−p.

Assuming for simplicity that our potential customer is risk-neutral, he will only pre-order if he thinks the project has a 50% or better chance of success. Since the success of the project depends on enough people like him pre-ordering, there is the potential here for multiple equilibria and self-fulfilling prophecies.

Potential Customer’s Payoffs
(Non-Refundable Pre-orders)
All Other Customers
Pre-order Wait & See
Customer Pre-order $20 −$10
Wait & See $10 $0

In the good equilibrium, everybody is happy to pre-order because they expect everyone else to do the same, the project succeeds and everyone gets $20 of consumer surplus. In the bad equilibrium, nobody pre-orders because they (correctly) anticipate that the project will fail.

An important benefit of crowdfunding sites like Kickstarter is that they can eliminate this kind of coordination failure. There are now many sites using a similar formula: entrepreneurs create a project page to pitch their idea and offer rewards, and set a funding goal and a deadline. The crucial innovation, however, is in the processing of payments. Instead of charging people’s credit cards as soon as they make a pledge, Kickstarter has an “all-or-nothing” rule: if a project falls short of its funding goal, none of the backers are charged.

All-or-nothing funding removes the risk of losing your money because too few other people invested in the project. As long as you trust the entrepreneur to deliver on her promises, backing the project becomes what game theorists call a weakly dominant strategy: no matter what anyone else does, you won’t be made worse off by backing, and you may end up better off.

Potential Customer’s Payoffs
(All-or-Nothing Funding)
All Other Customers
Back Wait & See
Customer Back $20 $0
Wait & See $10 $0

If there are enough people interested in a project to meet its funding goal, and they think it has some chance of succeeding (p > 0), then with all-or-nothing funding the only equilibrium should be the good one in which the project gets funded.

Having seen how all-or-nothing crowdfunding might solve one kind of coordination problem between backers, let’s consider one kind of coordination problem it can’t solve. Suppose we have two entrepreneurs named Alice and Bob, each of whom is a potential backer of the other’s project. Let’s assume that backing a project costs $10, and they value each other’s products at $20. Both of them are on the cusp of reaching their funding goals: if Alice backs Bob, his project will be funded and vice versa.

Let’s also assume that the profit from a successfully funded project is $10, so each of them can only afford to back the other’s project if their own project is funded. If Bob backs Alice’s successful project but his own project fails, he has to go without another product he values even more highly (at $30, say) than the one he receives from Alice.

Entrepreneurs’ Payoffs
Back Don’t Back
Alice Back $20, $20 −$10, $10
Don’t Back $10, −$10 $0, $0

From the payoff table we can see that there are two equilibria here: a good one in which Alice and Bob back each others’ projects, and a bad one in which neither offer backing because they both (justifiably) fear not being funded themselves. Whereas all-or-nothing crowdfunding can ease concerns about how many others will back a given project, it can’t alleviate a reluctance to back projects based on pessimism about one’s own income.