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Global markets see-saw. But return of volatility shouldn鈥檛 be surprising.

Recent days have seen stunning declines in US and global stock indexes, followed by a big rise Tuesday. Dips don't necessarily mean a bear market is on the way, but euphoria is being tempered.

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Richard Drew/AP
Trader Michael Milano works on the floor of the New York Stock Exchange, Tuesday, Feb. 6, 2018. The Dow Jones Industrial Average fell as much as 500 points in early trading, bringing the index down 10 percent from the record high it reached on January 26. The DJIA quickly recovered much of that loss 鈥 and ended the day up 500 points.

Just when things were looking up, the world鈥檚 investors got scared again.

In the course of just two trading days, the US stock market lost 5.5 percent of its value 鈥 and most of the rest of the world followed: Japan (-7.2 percent), France (-3.8 percent), and Germany (-2.3 percent).

But the sky isn鈥檛 falling, at least, not yet, if history is any guide. Monday鈥檚 record fall in terms of points 鈥 1,175 points on the Dow Jones Industrial Average 鈥 was far less damaging in percentage terms than the crash of 1987 or the market plunges in the run-up to the Great Recession. And on Tuesday the Dow regained almost half its prior-day loss.

Instead, world markets look headed toward a period of greater volatility and, quite possibly, what's called a correction. Japan鈥檚 Nikkei is already there, with shares declining just over 10 percent since their highs last month. The Standard and Poor鈥檚 500, which is a broader market index than the Dow, was down nearly 8 percent after Monday鈥檚 rout.

Corrections are normal occurrences, happening on average about once a year. (A bear market, where prices fall at least 20 percent, is more rare.) The return of volatility, however, is more telling.

The past two days have jolted US investors out of a remarkable complacency 鈥 where stocks were expected to keep going up indefinitely 鈥 to a new appreciation of the rising risks to the world economy after one of history鈥檚 longest bull markets. Fear, in other words, is now competing with greed.聽

The CBOE Volatility Index, known as the VIX or 鈥渇ear index鈥 for US stock investors, fell to record lows last year. But on Monday, it notched its biggest ever one-day rise, more than doubling to 37, at the market鈥檚 close. That鈥檚 the highest it鈥檚 been in 2-陆 years, but hardly a record.

And so far, it鈥檚 not clear that hordes of panicked investors are calling their brokers or financial planners, telling them to sell their stocks.

鈥淲e鈥檝e had nothing,鈥 says Rick Miller, founder of Sensible Financial Planning in suburban Boston. 鈥淏ut just because people aren鈥檛 calling doesn鈥檛 mean that they鈥檙e not nervous.鈥

Reasons behind the sell-off

What are investors nervous about?

Inflation looms large. US stock markets began falling Friday after the Bureau of Labor Statistics reported that average hourly earnings for private-sector workers saw their biggest wage gain in more than eight years. Big wage gains can fuel inflation, which central banks fight by raising interest rates. Higher interest rates, in turn, can make bonds more attractive to investors and stocks less attractive.

But wages only rose 2.9 percent year over year, much less than the wage increases before the Great Recession of 2007 to 2009.

鈥淢arkets have been addicted to low interest rates and global central banks pumping money into the financial system,鈥 said Greg McBride, chief financial analyst at Bankrate.com, in a note to reporters. 鈥淎s economies around the world are improving, this means higher interest rates and less stimulus from central banks. That鈥檚 why investors are throwing a hissy-fit. Not because anything is wrong.鈥

Another worry: China鈥檚 expanding private debt and soaring real estate prices. Analysts have warned for months that the bursting of those twin bubbles could trigger a worldwide crash. But Beijing is working hard to tamp down private borrowing, and the Shanghai Composite index is already down more than 25 percent from its 2015 highs.

Then there鈥檚 the run-up in stocks itself. In bourses around the world, share prices have set record after record. In the US, the second-longest bull market has led to a 32 reading on the Cyclically Adjusted Price Earnings ratio, a special stock price-to-earnings measure developed by Yale economist and Nobel laureate Robert Shiller and Harvard economist John Campbell. Only twice before has the index surpassed 30: right before the 1929 stock market crash (32.6) and the dot-com crash of 1999 (44.2)聽聽

So are stocks in a bubble that means an inevitable crash? Stock bubbles are hard for economists to define. But the short answer appears to be: probably not.

The economy remains strong and is adding new jobs. Rising wages, which spooked investors momentarily, remain good news for consumer spending going forward. Although adjustments from the just-passed tax reform have muddled the picture a bit, quarterly earnings released by companies so far have been generally positive. So there are good reasons why stocks can go up without pushing into bubble territory.

New data on bubbles and crashes

Last year, three Harvard economists published a paper looking at stock bubbles. They found that if stocks in a particular sector rose 50 percent or more within a two-year period, the odds that they would crash (fall 40 percent or more) within the next two years were only about 1 in 5. If they rose 100 percent, the odds rose to about 1 in 2. If stocks climbed 150 percent or more, the odds of a crash were 4 in 5.

SOURCE:

National Bureau of Economic Research; 鈥淏ubbles for Fama,鈥 by Robin Greenwood, Andrei Shleifer, and Yang You; Yahoo Finance; and Yardeni Research

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Jacob Turcotte/Staff

So far, the best performing sector of this bull market has been the financial industry, which by late January鈥檚 peak had risen 89 percent in two years. And unlike either 1929 or 1999, 鈥渢he stock market gains have been pretty even across industries,鈥 Harvard economist Robin Greenwood, the lead researcher on the paper, writes in an email.

Thus, their data suggests that a crash of 40 percent is more unlikely than likely in major markets across the world, with China at the end of 2017 carrying some of the biggest odds with 26 percent. The United States was at 11 percent. (See chart accompanying this article.)

To see what a real bubble and crash look like, look at Bitcoin. Between April and December of last year, it rose an amazing 1,400 percent. Although Bitcoin is not a stock, the trends from the Harvard research suggest it was ripe for a huge fall. Sure enough, the cryptocurrency has now lost more than 60 percent from its December highs.

Timing any crash remains tricky. According to the Harvard researchers, it took on average six months before a sector identified as a bubble market actually peaked, and the average gain during that period was 30 percent.

Some other analysts say US stocks look pricey but not in bubble terrain. In a December market outlook, Vanguard strategist Joseph Davis predicted 鈥渁 bit more volatility and 鈥 more muted equity returns鈥 in 2018.

So what does volatility, of the kind now being experienced in markets around the world, signal for investors?

In his analysis, Mr. Davis said that, even with a more restrained outlook for stocks, average investors generally will be well served by staying the course and 鈥渕aintaining a balanced and globally diversified portfolio.鈥

鈥淲hat volatility tells us,鈥 says Mr. Miller of Sensible Financial, 鈥渋s that stocks are risky!鈥

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