Semyon Dukach, former president of the MIT Blackjack Team, thinks that the real cause of the financial crisis is the ever-present temptation to create new Martingale schemes:
The Martingale system works as follows: suppose you need an extra $100. You go down to your nearest casino, and bet $100 on a hand of blackjack, or on any other almost 50/50 proposition. Should you win right away, you have reached your goal and gotten your money. Now if you lose, you bet $200. If you win the second bet, you’re up $100 over all and once again successful. But a little more than one out of four times you’ll lose both, and end up down $300. In that event you simply bet $400. If you lose again you bet $800, and you just keep doubling your bet until you win once. Clearly you have to win at least once eventually, and with this system you end up with your $100 profit even if you start out losing for a while. If you’re willing to bet up to ten times for instance, your chance of losing all ten bets is close to one in a thousand. That means that with a probability of almost 99.9%, you will win one of those ten bets, and therefore walk away with your $100.Of course there’s a catch that few people notice. When the unlikely one in a thousand event happens and you do lose ten in a row, the actual amount that you’ve lost is over $100,000, all risked to win a mere hundred bucks. You might not have any way of doubling up again. You might even need some sort of bailout.
Naturally, money managers aren’t doubling their bets every time they lose:
In the world of investments, there are many ways more subtle than the Martingale to guarantee a better return over a period of months, years, and even decades, at the cost of certain ruin way down the road. Let’s say for instance that you’re managing a hedge fund which invests in stocks. Your strategy of sound fundamental analysis is fairly well understood. You have found that you can generate an average return of 6% per year, and so can most of your equally qualified competitors who have access to the same talent pool and knowledge base as you do. But then one of your competitors realizes that he can automatically increase his return to 9% by selling something called “out of the money puts” on the market. This means that the competitor’s fund essentially sells insurance against the market crashing dramatically. In normal times his fund will gain the premium from selling this insurance which boosts his returns. However, in the rare event of an extreme market crash his investors will lose everything. This form of Martingale can be easily tuned to work for various time periods with various chances of collapse.
The key takeaway:
The managers who have the discipline to understand and avoid the Martingale tricks will not be able to compete on the basis of their returns over a few years, and will eventually lose their funds and their jobs.
What is a money-manager of integrity to do?
The solution that they usually flock to is to create such a complex Martingale system that they themselves cannot understand the longer term risk implications. As long as the mathematical analysis of the risk of ruin lies beyond the understanding of the CEOs, the money managing organizations can stay competitive by employing their latest version of a return-boosting Martingale, without admitting to themselves or to others that they have been peer-pressured into the financial equivalent of selling their soul to the Devil.In the 80′s the emerging Martingales were called junk bonds and LBO’s. In more recent times they are known as mortgage based derivatives and credit default swaps.