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Wednesday, January 9, 2008

Are Market Trends Effectively Random?

Sun Tzu is an honorific title bestowed upon Sūn Wǔ. Tzu, who lived from 544 to 496 BC, authored The Art of War, an immensely influential ancient Chinese book on military strategy. The book, composed of thirteen chapters, each devoted to one aspect of military warfare, has long been considered one of the definitive works on military strategies. It has also had a huge influence on business tactics. Investors can also benefit from its wisdom. They can particular benefit from the insight provided by one its most often cited phrases: “Every battle is won before it is ever fought.”

On July 19, 2007, the S&P 500 Index closed at 1553. By August 15, it had fallen to 1407, a drop of almost 10 percent in less than a month. The drop was fueled by a flight-to-quality, or what might be called a flight-to-liquidity. Headlines from the financial media reported huge losses in hedge funds as investors fled all risky assets, the kind of assets hedge funds often buy.

The media (and not just the financial media) also commented about how this was an unprecedented event. The following statement is a good example. It was made by Matthew Rothman, global head of quantitative equity strategies for Lehman Holdings Inc. and a University of Chicago Ph.D. After three days of huge losses for equities all around the globe Rothman stated: “Wednesday is the type of day people will remember in quant-land for a very long time. Events that models only predicted would happen once in 10,000 years happened every day for three days.”(Wall Street Journal, “One ‘Quant’ Sees Shakeout For the Ages—’10,000 Years,’ August 11-12, 2007.)

Lehman’s models (as well as the models of many other hedge funds) may have made such a forecast, but all that proved was that the models were wrong. These events have occurred in the past, and they have done so with a fair amount of frequency. In fact, we had a very similar crisis in the summer of 1998, just ten years earlier.

The hedge fund Long-Term Capital Management [LTCM] was founded in 1994 by John Meriwether (former vice-chairman and head of bond trading at Salomon Brothers). Myron Scholes and Robert Merton who shared the 1997 Nobel Memorial Prize in Economics sat on its board. LTCM had early successes producing annualized returns of over 40 percent in its first years. Then, in 1998, it lost $4.6 billion in less than four months and became the most popular example of the risk that exists in the hedge fund industry. In early 2000, the fund folded. LTCM, failed because its models told them the same thing that Rothman’s model had told him. As Spanish philosopher Santayana warned: “Those that cannot remember the past are doomed to repeat it.”

The Historical Evidence
Professor Eugene Fama (the thesis advisor to LTCM’s Myron Scholes at the University of Chicago) studied the historical distribution of stock returns. Here is what Fama found: “If the population of price changes is strictly normal, on the average for any stock…an observation that is more than five standard deviations from the mean should be observed about once every 7,000 years. In fact such observations seem to occur about once every three or four years.” (Roger Lowenstein, When Genius Failed, Random House (1st edition, September 2000), p.71.) That is a long way from once every 10,000 years.

Consider also the following:
• From 1926–2006, twenty-three out of the eighty-one years produced negative returns. In nine of those years the losses were greater than 10 percent. In five of the years the losses exceeded 20 percent. In two of the years the losses exceeded 30 percent. And in one year the loss exceeded 40 percent.
• During the same period, out of 324 quarters, there were twenty-seven in which losses exceeded 10 percent. There were also seven quarters when losses exceeded 20 percent. And there were two quarters when losses exceeded 30 percent.
What the data is telling us is that stocks are risky assets. And the risks show up fairly frequently. The data also tells us that severe losses are fairly common. In fact, the risk of severe losses is why stocks have provided higher returns historically than have bonds. On average, investors are risk averse. To entice them to take the risks of equity investing, stocks must be priced to provide high expected returns. And it is not a question of if the risks will show up. The only questions (to which no one has the answers) are when the risks will show up, how sharp the declines will be and when they will end.

The Anatomy of a “Crisis”
Some bear markets are caused by specific events such as what occurred on September 11, 2001 or the oil crisis of 1973. These are random events that cannot be forecasted. But others follow a fairly consistent pattern that goes as follows. When economic times are good investors become more willing to take risks. Prices begin to rise. The longer the times remain good, the more confident investors become, and the more risk they become willing to take. Eventually stocks may even become “priced for perfection.” Eventually the risks do show up. Losses appear, credit tightens, margin calls have to be met, and a flight-to-quality ensues. We might say that “the tipping point” was reached. Prices don’t just fall, they often collapse as a vicious cycle develops as selling begets more selling. Some investors are forced to sell to meet margin calls and others simply panic.

When Risks Show Up
It is important to note that during bear markets all risky assets have a strong tendency to become highly correlated. Thus, while global diversification across equity asset classes with low correlation is the prudent strategy because it reduces risk over the long term, during crises this benefit “takes a holiday.” The only safe haven during such periods is fixed income investments of the highest quality (for example, Treasuries, government agency securities). Riskier fixed income assets such as junk bonds and emerging market bonds also suffer from flights-to-quality and liquidity. This is why the prudent strategy is to limit fixed income holdings to securities of the highest credit quality.

It is also important to note that the risks of hedge funds, which supposedly offer the benefit of low correlation, tend to rise during crises. The reason is that many hedge funds attempt to achieve high returns by investing in risky and illiquid assets. Thus, just when you need them to provide their so-called hedge, instead what happens is the risk appears. This is exactly what happened in the summer of 1998, with an encore performance in the summer of 2007. This is just one of the many reasons why investors should avoid hedge funds. (There are many others including their failure to deliver on their “promise” of greater risk-adjusted returns.)

These crises also show the why investors should avoid strategies that employ leverage. Leverage works well until risk shows up. Then the use of leverage often leads to the inability to wait out a bear market because margin calls must be met. Leverage has been the factor leading to the demise of many investment strategies. The perfect example is LTCM. It went belly up despite the fact that many of its trades proved to be correct if only it could have held on to its positions. Unfortunately, margin calls had to be met and LTCM was forced to liquidate. Let’s now turn to the issue of whether investors can successfully avoid the inevitable periods of sharp losses by timing the market?

Timing the Market
The evidence on efforts to successfully time the market is compelling. For example, one study of one hundred large pension funds and their experience with market timing found that while they all had engaged in at least some market timing, not a single one had improved its rate of return as a result.

Let’s look at some evidence on why market timers get such poor results. Keep in mind that when you try to time the market you have to be right not just once, but twice. You have to sell at the right time and you also have to get back in at the right time. We saw earlier that of the out of 324 quarters from 1926 through 2006 there were twenty-seven in which losses exceeded 10 percent. Out of those twenty-seven quarters, sixteen were followed by quarters when the S&P 500 Index rose at least 5 percent. There was also seven quarters when it rose at least 10 percent, four when it rose at least 20 percent, three when it rose at least 30 percent and two when it rose at least 80 percent. Yes, 80 percent. Thus, following quarters when the market fell at least 10 percent, the next quarter it rose at least 5 percent almost 60 percent of the time.

There were also three other quarters when the market rose, though less than 5 percent. Thus, over 70 percent of the time after experiencing a quarter of a sharp decline, the market actually rose. Evidence such as this is why legendary investor Peter Lynch stated: “Far more money has been lost by investors preparing for corrections, or trying to anticipate corrections, than has been lost in corrections themselves.”(Worth, September 1995). And Warren Buffet’s favorite time frame for holding a stock is forever.

If bear markets cannot be anticipated, what is the prudent strategy?

The Winner’s Game
Napoleon, perhaps history’s greatest general stated: “Most battles are won or lost [in the preparation stage] long before the first shot is fired.” For investors the battle is also won in the planning stage. Successful investors know both that bear markets will happen and that they cannot be predicted with a high degree of accuracy. Thus, they build bear markets into their plans. They begin by determining their ability, willingness, and need to take risk. They make sure that their asset allocation does not cause them to take so much risk that when a bear market inevitably shows up they might sell in a panic. They also make sure that they don’t take so much risk that they lose sleep when emotions caused by bear markets run high.
Summary

Life is just too short for individuals to spend time worrying about their portfolio. If investors make sure that they don’t take too much risk, they will be able to rebalance (buy more of the very investments that have performed the worst) in the face of large losses. Some investors let emotions drive their decisions and they end up buying high and selling low. On the other hand, prudent investors who stay disciplined and rebalance, buying low and selling high, clearly adhere to a superior strategy.

Stocks are risky investments, no matter the time horizon. Smart investors recognize that. They also know that they cannot predict when the bear [market] will emerge from its hibernation or how large the losses will be. They know that just as battles are won in the planning stage, the winning investment strategy is to have a well-developed investment plan in the form of an investment policy statement. However, they also know that having such a plan is only a necessary condition for investment success. The sufficient condition is that they must have the discipline to stick to the plan.

Successful investors know that they must act like a postage stamp. The postage stamp does only one thing, but it does it exceedingly well. It adheres to its package until it reaches its destination. To be successful, investors must have the discipline to avoid having their well-developed plan end up in the trash heap of emotions.

In closing, the next time the emotions caused by a bear market tempt you to sell you should consider the following statement from Stephen Gould. Gould, who died in May 2002, was professor of zoology and geology at Harvard University. He said, “Probably more intellectual energy has been invested in discovering (and exploiting) trends in the stock market than in any other subject—for the obvious reason that stakes are so high, as measured in the currency of our culture.
The fact that no one has ever come close to finding a consistent way to beat the system — despite intense efforts by some of the smartest people in the world — probably indicates that such causal trends do not exist, and that sequences are effectively random.”

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