At the start of 2017, just before Donald Trump was inaugurated as president, a survey of fund managers by Bank of America Merrill Lynch found that they believed that being positive on the dollar was "the most crowded trade." It turned out they were right to be cautious.

On a trade-weighted basis, the U.S. dollar has fallen by 9 percent against other major currencies in the past year.

It is not clear what the Trump administration thinks about this. At the World Economic Forum in Davos, Steven Mnuchin, the treasury secretary, said: "Obviously a weak dollar is good for us as it relates to trade and opportunities."

Although the rest of his statement was more nuanced, it is unusual for anyone in his position to depart from a "strong dollar" line. The greenback duly fell in price.

Trump then followed up with a statement in favor of a strong dollar in the long term, which caused a rebound. Since it was only last April that the president talked about the dollar being "too strong," the markets can be forgiven for being confused.

Never mind singing from the same hymn sheet, U.S. authorities are using different tonal systems.

Adding to the puzzle is the administration's focus on eliminating the trade deficit. The recent package of tax cuts, by boosting demand, is likely to suck in imports and widen the deficit. The trade deficit tends to fall during a recession, but that is not a desirable outcome. So it may need a big decline in the value of the dollar to bring about a cut in the deficit, while keeping the economy buoyant.

What does it mean?

If the dollar is poised to experience one of its long periods of weakness, as in the late 1980s or the early 2000s, what would that mean for the financial markets?

Much may depend on the reason the dollar is weak.

If the weakness is related to bad news about the U.S. economy, then that is usually bad for equities and good for government bonds. The reverse applies if the weakness reflects a boom in emerging markets; that would be a sign of investors taking advantage of exciting opportunities elsewhere.

Current dollar weakness seems to be linked to a rebound in the global economy. That also helps explain why stock markets have started 2018 in a buoyant mood. A weaker dollar helps American multinationals, as Mnuchin suggested. Not only does it make their exports more competitive, but their overseas earnings are also worth more in dollar terms.

Bank of America Merrill Lynch said that, in the fourth quarter, 68 percent of companies with high foreign sales beat analysts' forecasts of profits and sales. Only 39 percent of companies with no foreign exposure managed to do so.

Although equities have been performing strongly, Treasury bond prices have been falling (in other words, yields have been rising). This may suggest that foreign investors need a higher return to persuade them to put their money in a depreciating currency. Another explanation is that U.S. bond investors think stronger economic growth will eventually lead to higher inflation and are demanding higher yields to compensate.

What about the rest of the world? A weak dollar means a strong euro and thus, all else being equal, tighter financial conditions in Europe. Mario Draghi, the president of the European Central Bank, made some pointed remarks on Jan. 25 about disorderly movements in exchange rates, and their adverse implications for financial and economic stability.

What may threaten trend

Draghi took a more dovish tone on monetary policy than investors expected; the ECB will not want the euro to rise too far. Government-bond yields in Europe have also been rising, so financial conditions are already tightening.

Life tends to be easier for economic policymakers in developing countries when the dollar is falling than when it is rising. The Asian financial crisis, for example, occurred during the dollar surge of the late 1990s.

Many countries peg their currencies, formally or informally, to the greenback; if the dollar is rising, they may be forced to tighten monetary policy in order to maintain the link. A weaker dollar gives countries scope to cut interest rates, boosting growth.

Of course, all these trends may go into reverse if they go too far. If a lot of money flows into emerging markets, economies can overheat and an overvalued currency can make exporters uncompetitive, leading to an eventual crisis. If Treasury bond yields rise far enough, that will prompt capital to flow back into the dollar. Furthermore, a sharp rise in bond yields will put the squeeze on economic growth. Investors do not mind a bit of dollar weakness; they just don't want too much of it.