Bitcoin prices over the last 3 years

As I write this, the price of a single bitcoin is approximately $11,100 yesterday, up some 2000% in the last 6 months. The rise rate suggests it is a financial bubble. Or maybe it’s not: just a very risky investment suited for inclusion in a regularly balanced portfolio. These are two competing views of bitcoin, and there are two ways to distinguish between them. One is on the basis of technical analysis — does this fast rise look like a bubble (Yes!), and the other is to accept that bitcoin has a fundamental value, one I’ll calculate that below. In either case, the price rise is so fast that it is very difficult to conclude that the rise is not majorly driven by speculation: the belief that someone else will pay more later. The history of many bubbles suggests that all bubbles burst sooner or later, and that everyone holding the item loses when it does. The only winners are the brokers and the last investors who get out just before the burst. The speculator thinks that’s going to be him, while the investor uses rebalancing to get some of benefit and fun, without having to know exactly when to get out.

That bitcoin is a bubble may be seen by comparing the price three years ago. At that point it was $380 and dropping. A year later, it was $360 and rising. One can compare the price rise of the past 2-3 years with that for some famous bubbles and see that bitcoin has risen 30 times approximately, an increase that is on a path to beat them all except, perhaps, the tulip bubble of 1622.

A comparison between Bitcoin prices, and those of tulips, 1929 stocks, and other speculative bubbles; multiple of original price vs year from peak.

That its price looks like a bubble is not to deny that bitcoin has a fundamental value. Bitcoin is nearly un-counterfeit-able, and its ownership is nearly untraceable. These are interesting properties that make bitcoin valuable mostly for illegal activity. To calculate the fundamental value of a bitcoin, it is only necessary to know the total value of bitcoin business transactions and the “speed of money.” As a first guess, lets say that all the transactions are illegal and add up to the equivalent of the GDP of Michigan, $400 billion/year. The value of a single bitcoin would be this number divided by the number of bitcoin in circulation, 15,000,000 currently, and by the “speed of money,” the number of business transactions per year per coin. I’ll take this to be 3 per year. It turns out there are 5 bitcoin transactions total per year per coin, but 2/5 of that, I’ll assume, are investment transactions. Based on this, a single bitcoin should be worth about $8890, slightly below its current valuation. The gross speed number, 5/year, includes bitcoin transactions that are investments and never traded for goods, and those actively being used in smuggling, drug-deals, etc.

If the bitcoin trade will grow to $600 billion year in a year with no other change, the price rise of a single coin would surpass that of Dutch tulip bulbs except that more coins are bing minted, and that the speed is increasing. If you assume that coin use will reach $1,600 billion/year, the GDP of Texas in the semi-near future, before the Feds jump in, the fundamental value of a coin should grow no higher than $44,000 or so. There are several problems for bitcoin investors who are betting on this. One is that the Feds are unlikely to tolerate so large an unregulated, illegal economy. Another is that bitcoin transactions are not likely to go totally legal. It is very hard (near impossible) to connect a bitcoin to its owner. This is a plus for someone trying to deal in drugs or trying hide profits from the IRS (or his spouse), but a legal merchant will want the protection of courts of law. For this, he or she needs to demonstrate ownership of the item being traded, and that is not available with bitcoin. The lack of a solid, legitimate business need suggests to me that the FBI will likely sweep in sooner or later, and that the value of a coin will never reach $44,000.

Yet another problem for those wishing to invest in bitcoin is the existence of more bitcoins (undiscovered, or un-mined so far) and the existence of other cryptocurrencies with the same general qualities: Litecoin (LTC), Ethereum (ETH), and Zcash (ZEC) as examples. The existence of these coins increases the divisor one should use when calculating the value of a bitcoin. The total number of bitcoins is capped at 21,000,000, that is 6,000,000 coins more than known today. Assuming more use and more acceptance, the speed (turnovers per year) is likely to increase to four or five, similar to that of other currencies. Let’s assume that the bitcoin will control 1 trillion dollars per year of a $1.6 trillion/year illegal market. One can now calculate the maximum long term target price of a bitcoin by dividing $1 trillion/year by the number of bitcoins, 21,000,000, and by the speed of commercial use, 4.5/year. This suggests a maximum fundamental value of $10,582 per coin. This is just about the current price. Let the investment buyer beware.

For an amusing, though not helpful read into the price: here are Bill Gates, Warren Buffet, Charlie Munger, and Noam Chomsky discussing Bitcoin.

Robert Buxbaum, December 3, 2017.