Gambler Ruined: Sam Bankman-Fried’s Bizarre Notions of Risk and the Blow-Up of FTX

The drama continues for Sam Bankman-Fried (SBF), the former head of now-bankrupt crypto exchange FTX. This past week has been giving a series of interviews, in which he (the brilliant master, the White Knight, of the crypto world a mere month ago) is trying to convince us (potential jurors?) that he is too dim-witted to have masterminded a shell game of international wire transfers, and that he had no idea what was happening in the closely-held company of which he was Chief Executive Officer. (For an entertaining take on what We The People think of SBF’s disclaimers, see responses in this thread ttps://twitter.com/SBF_FTX/status/1591989554881658880, especially the video posted by “Not Jim Cramer”). 

The word on the street is that his former partner Caroline Ellison (who he has been implicitly throwing under the bus with his disclaimers of responsibility for the multi-billion dollar transfers from his FTX to her Alameda company) may well be cutting a deal with prosecutors to testify against SBF.  It remains to be seen whether SBF’s monumental political donations will suffice to keep him from doing hard time.

But all that legal drama aside, the SBF saga brings up some interesting issues on risk management. Earlier here on EWED James Bailey  highlighted a revealing exchange between SBF and Tyler Cowen, in which SBF displayed a heedless neglect of the risk of catastrophic outcomes, as long as there is a reasonable chance of great gain:

TC: Ok, but let’s say there’s a game: 51% you double the Earth out somewhere else, 49% it all disappears. And would you keep on playing that game, double or nothing?

SBF: Yeah…take the pure hypothetical… yeah.

TC: So then you keep on playing the game. What’s the chance we’re left with anything? Don’t I just St. Petersburg Paradox you into non-existence?

SBF: No, not necessarily – maybe [we’re] St. Petersburg-paradoxed into an enormously valuable existence. That’s the other option.

Boiled down, the St Petersburg Paradox involves a scenario where you have a 50% chance of winning $2.00, a 25% (1/4) chance of winning $4.00, a 1/8 chance of winning $8.00, and so on without limit. If you add up all the probabilities multiplied by the amount won for each probability, the Expected Value for this scenario is infinite. Therefore it seems like it would be rational, if you were offered a chance to play this game, to stake 100% of your net worth in one shot. However, almost nobody would actually do that; most folks might spend something like $20 or maybe 0.1% of their net worth for a shot at this, since the likely prospect of losing a large amount does not psychologically compensate for the smaller chance of gaining a much, much larger amount. But SBF is not “most folks”.

Victor Haghani recently authored an article on risk management and on SBF’s approach:

Most people derive less and less incremental satisfaction from progressive increases in wealth – or, as economists like to say: most people exhibit diminishing marginal utility of wealth. This naturally leads to risk aversion because a loss hurts more than the equivalent gain feels good. The classic Theory of Choice Under Uncertainty recommends making decisions that maximize Expected Utility, which is the probability-weighted average of all possible utility outcomes.

SBF explained on multiple occasions that his level of risk-aversion was so low that he didn’t need to think about maximizing Expected Utility, but could instead just make his decisions based on maximizing the Expected Value of his wealth directly. So what does this mean in practice? Let’s say you find an investment which has a 1% chance of a 10,000x payoff, but a 99% chance of winding up worth zero. It has a very high expected return, but it’s also very risky. How much of your total wealth would you want to invest in it?

There’s no right or wrong answer; it’s down to your own personal preferences. However, we think most affluent people would invest somewhere between 0.1% and 1% of their wealth in this investment, based on observing other risky choices such people make and surveys we’ve conducted…

SBF on the other hand, making his decision strictly according to his stated preferences, would choose to invest 100% of his wealth in this investment, because it maximizes the Expected Value of his wealth.

Even in a game with a fair 50/50 outcome, a player with finite resources will eventually go broke. This is the “Gambler’s Ruin” concept in statistics. SBF’s outsized penchant for risk took his net worth to something like $30 billion earlier this year, something we more-timid souls will never achieve, but it eventually proved to be his undoing.

Most people have a more or less logarithmic sense of the utility of money – if you only have $1000, the gain or loss of $100 is significant, whereas $100 is lost in the noise for someone whose net worth is over a million dollars. SBF apparently felt that he was playing with such big numbers, that he did not need to worry about big losses, as long as there was a chance at a big, big win. Here is a Twitter Thread  by SBF, from  Dec 10, 2020:

SBF: …What about a wackier bet? How about you only win 10% of the time, but if you do you get paid out 10,000x your bet size?

[So, if you have $100k,] Kelly* suggests you only bet $10k: you’ll almost certainly lose. And if you kept doing this much more than $10k at a time, you’d probably blow out.

…this bet is great Expected Value; you win [more precisely, your Expected Value is] 1,000x your bet size.

…In many cases I think $10k is a reasonable bet. But I, personally, would do more. I’d probably do more like $50k.

Why? Because ultimately my utility function isn’t really logarithmic. It’s closer to linear.

…Kelly tells you that when the backdrop is trillions of dollars, there’s essentially no risk aversion on the scale of thousands or millions.

Put another way: if you’re maximizing EV(log(W+$1,000,000,000,000)) and W is much less than a trillion, this is very similar to just maximizing EV(W).

Does this mean you should be willing to accept a significant chance of failing to do much good sometimes?

Yes, it does. And that’s ok. If it was the right play in EV, sometimes you win and sometimes you lose.

(*The Kelly criterion is a formula that determines the optimal theoretical size for a bet.)

Haghani concludes, “It seems like SBF was essentially telling anyone who was listening that he’d either wind up with all the money in the world, which he’d then redistribute according to his Effective Altruist principles – or, much more likely, he’d die trying.”

( Full disclosure: I have lost an irritating amount of money thanks to SBF’s shenanigans. My BlockFi crypto account is frozen due to fallout from the FTX collapse, with no word on if/when I might see my funds again. )

My BlockFi Crypto Account Is Frozen Due to Monster FTX Exchange Blowup

About a year ago, I posted some articles touting the use of BlockFi as an alternative checking account. It paid around 9% interest (this was back when interest rates were essentially zero on regular savings accounts), and allowed withdrawal or deposit of funds at any time. Nice. BlockFi is associated with respected firm Gemini, and (unlike many crypto operations) is U.S. based, with consistent formal auditing. They earned interest on my crypto by lending it out to “trusted counter-parties”, always backed by extra collateral. What could possibly go wrong?

In July I wrote about a big cryptocurrency meltdown, in which a number of medium-sized players went bust.  At that time, BlockFi assured its customers that its sound business practices put it above the fray, no problemo. They did make it through that juncture OK. But I withdrew a third of my funds, just to be on the safe side.

The huge news in crypto this past week has been the sudden, total implosion of major exchange FTX (more on that below). FTX is a major business partner with BlockFi. No worries, though, as of Tuesday of last week,  BlockFi COO Flori Marquez tweeted that “All BlockFi products are fully operational”.  Then the hammer dropped: On Thursday (11/10), BlockFi froze withdrawals, due to complications with FTX. My remaining crypto is stranded, most likely for years of legal proceedings, and I may never get it all back. I’m not going to starve, but the amount is enough to hurt.

In this case, I don’t really blame BlockFi – by all accounts, they have been trying to run an honest, responsible business. Before last week, nobody had much reason to think that FTX was totally rotten.  My bad for not connecting the FTX-BlockFi dots earlier, and pulling out more funds when I had the chance.

The Great FTX Debacle

The star of this show is Sam Bankman-Fried, the (former) head of FTX:

James Bailey posted here on EWED on the FTX crash last week. CoinDesk author David Morris summarized the downfall of Bankman-Fried’s crypto empire:

FTX and Bankman-Fried are unique in the stature they achieved before self-immolating. Over the past three years, FTX has come to be widely regarded as a reputable exchange, despite not submitting to U.S. regulation. Bankman-Fried has himself become globally influential, thanks to his thoughts on cryptocurrency regulation and his financial support for U.S. electoral candidates – not necessarily in that order.

Facts first uncovered by CoinDesk played a major role in the events of the past week. On Nov. 2, reporter Ian Allison published findings that roughly $5.8 billion out of $14.6 billion of assets on the balance sheet at Alameda Research, based on then-current valuations, were linked to FTX’s exchange token, FTT.

This finding, based on leaked internal documents, was explosive because of the very close relationship between Alameda and FTX. Both were founded by Bankman-Fried, and there has been significant anxiety about the extent and nature of their fraternal dealings. The FTT token was essentially created from thin air by FTX, inviting questions about the real-world, open-market value of FTT tokens held in reserve by affiliated entities.

Negative speculation about a financial institution can be a self-fulfilling prophecy, triggering withdrawals out of a sense of uncertainty and leading to the very liquidity problems that were feared.

Customers started a “run on the bank”, withdrawing billions of dollars of assets, leading to total insolvency of FTX:

The Financial Times reported that FTX held approximately $900 million in liquid crypto and $5.4 in illiquid venture capital investments against $9 billion in liabilities the day before it filed for bankruptcy.

If FTX had been run as an honest exchange, this withdrawal should not have been too much of a problem – – just give customers back the coins they had deposited with FTX. Apparently, though, FTX had taken customer assets and transferred them over to a sister company, Alameda, to trade with. The valuable customer crypto assets left the FTX balance sheet, and were largely replaced by the self-generated (and now nearly worthless) FTT token:

It remains worryingly unclear, though, exactly why even such a dramatic rush for the exits would have led FTX to seek its own bailout. The exchange promised users that it would not speculate with cryptocurrencies held in their accounts. But if that policy was followed, there should have been no pause to withdrawals, nor any balance sheet gap to fill. One possible explanation comes from Coinmetrics analyst Lucas Nuzzi, who has presented what he says is evidence that FTX transferred funds to Alameda in September, perhaps as a loan to backstop Alameda’s losses.

It doesn’t help that on Friday (11/11) some $477 million was outright stolen from FTX wallets. (The Kraken exchange said it has identified the thief and are working with law enforcement).

Where does the FTX saga go from here? There seems little in the way of assets left for the bankruptcy judge to distribute to former customers and creditors. In the case of BlockFi, they are dependent on a $400 million line of credit extended to them by FTX back in June, to keep operating. And who knows how much of BlockFi assets were stored with FTX – – since FTX was to be their white knight, BlockFi would not be in a position to withdraw deposits from FTX like other customers did.

I predict that nothing really bad will happen to Bankman-Fried and his buddies who ran this thing. Although its operation was apparently dishonest, it is not clear how much is subject to U.S. federal or state legal jurisdiction. Bankman-Fried and friends ran their empire from a big apartment suite in the Bahamas. Plus, he is pretty well-connected. Beside his massive campaign contributions, his business and sometimes romantic partner Caroline Ellison (she is CEO of Alameda) is the daughter of MIT professor Glenn Ellison, the former boss (as colleagues at MIT) of the U.S. Securities and Exchange Commission chair Gary Gensler. These relations were captured in an impish tweet by Elon Musk: