American workers are taking home bigger paychecks as employers pay up to attract and retain employees. But those same people are shelling out more for furniture, food and many other goods and services these days.

It is not yet clear which side of that equation — higher pay or higher prices — is going to win out, but the answer could matter enormously for the Federal Reserve and the White House.

There are a few ways this moment could evolve. Wage growth could remain strong, driven by a tight labor market, and overall inflation could simmer down as supply chain snarls unravel and a surge in demand for goods eases. That would benefit workers.

But troubling outcomes are also possible, and high on the list of worries is what economists call a “wage-price spiral.” Employees could begin to demand higher pay because they need to keep up with a rising cost of living, and companies may pass those labor costs on to their customers, kicking off a vicious cycle. That could make today’s quick inflation last longer than policymakers expect.

The stakes are high. What happens with wages will matter to families, businesses and central bankers — and the path ahead is far from certain.

“It’s the several-trillion-dollar question,” said Nick Bunker, director of research for the hiring site Indeed.

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For now, wage growth is rapid — just not fast enough to keep up with prices. One way to measure the dynamic is through the Employment Cost Index, which is reported by the Labor Department every quarter. In the year through September, the index’s measure of wages and salaries jumped 4.2%. But an inflation gauge that tracks consumer prices rose 5.4% over the same period.

A different measure of pay, an index that tracks hourly earnings, did rise faster than inflation in August and September after lagging it for much of the year.

And an update to that gauge Friday showed that wages climbed 0.4% in October, which is roughly in line with recent monthly price increases. Over the past year, that measure is up 4.9%. But the data on hourly earnings have been distorted by the pandemic, because low-wage workers who left the job market early in 2020 are now trickling back in, jerking the average around.

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The Labor Department reported Friday that the U.S. economy added 531,000 jobs in October, cutting the unemployment rate to 4.6%, down from 4.8% in September, in a sign that employers are feeling more optimistic as the latest coronavirus surge eases. Economists polled by Bloomberg had been looking for a gain of 450,000 jobs.

The October gain was an improvement from the 312,000 positions added in September — a number that was revised upward Friday, along with the August figure, providing a more upbeat picture of the last few months.

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The increase in employment was broad, with sizable gains at restaurants and bars as well as in factories and offices. And in another sign that conditions are gradually returning to normal, the proportion of employed people who worked remotely at some point last month fell to 11.6% from 13.2%.

“This was a strong employment report that shows the resilience of the labor market recovery from the pandemic,” said Scott Anderson, chief economist at Bank of the West in San Francisco. “I think we will see a pretty strong bounce back in economic growth in the fourth quarter.”

The job picture has improved across most demographic groups. The unemployment rate for women, Hispanics, Asians and those without a college degree all ticked downward. Black unemployment, however, remained flat at 7.9%, nearly twice the rate for white workers.

That racial gap is likely to present a serious test of the Fed’s fresh emphasis on balancing its mandate to control inflation with the goal of “maximum inclusive employment,” as officials call it.

“It’s a euphemism, but something the Fed takes very seriously,” said Diane Swonk, chief economist at the accounting firm Grant Thornton. If the current surge in price increases does not abate by early next year, and both internal and external pressure to prioritize price stability takes precedence, then “patience may run out sooner than people think,” she said — and sooner than Jerome Powell, the Federal Reserve chairperson, would like.

The upshot is that the tug of war between price increases and pay increases has yet to decisively swing in workers’ favor.

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Whether wage gains eventually eclipse inflation — and why — will be crucial for economic policymakers. Central bankers celebrate rising wages when they come from productivity increases and strong labor markets, but would worry if wages and inflation seemed to be egging each other upward.

The Federal Reserve is “watching carefully,” for a troubling increase in wages, Powell said Wednesday, though he noted that the central bank did not see such a trend shaping up.

Recruiters do report some early signs that inflation is factoring into pay decisions. Bill Kasko, president of Frontline Source Group, a job placement and staffing firm in Dallas, said that as gas prices in particular rise, employees are demanding either higher pay or work-from-home options to offset their increased commuting costs.

“It becomes a topic of discussion in negotiations for salary,” Kasko said.

But for the most part, today’s wage gains are tied to a different economic trend: red-hot demand for workers. Job openings are high, but many would-be employees remain on the labor market’s sidelines, either because they have chosen to retire early or because child care issues, virus concerns or other considerations have dissuaded them from working.

A federal supplement to unemployment benefits expired in early September and experts are watching whether the end of that assistance — and a depletion of savings accumulated from other emergency programs — increases the availability of workers. So far, those effects have been muted.

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“For the last 25, maybe 30 years, labor has been on its back heels and losing its share of the economic pie,” said Mark Zandi, chief economist at Moody’s Analytics. “But that dynamic is now shifting.”

Emily Longsworth Nixon, 27 and from Dallas, is one of Kasko’s employees. She tried to recruit a woman to an executive assistant position at a technology company that would have given her a $30,000 raise — and saw the candidate walk away for a counteroffer of no additional pay but three work-from-home days each week.

“After that, I had my tail between my legs for a couple of days; I had never thought to ask that,” she said, adding that employers need to know their candidates like never before as workers flex their power, taking home raises and other perks. “Before COVID, it was an employer-driven market.”

Those in-demand workers could end up being better off in the long run, should their pay continue to chug higher even as supply chains heal and prices for used cars and couches moderate, allowing them to afford more.

Pay gains might also become more sustainable for employers as virus concerns fade and employees trickle back from the labor market’s sidelines.

And even if rapid wage increases persist, it is not absolutely the case that employers will be forced to drastically raise prices. Businesses could stomach a hit to their profits instead, or they could invest in technology that improves worker productivity.

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If fewer waitresses can sell the same number of dinners because customers are ordering from QR codes, for instance, employers will have leeway to pay more without taking a hit to their bottom line.

But a happy outcome is not guaranteed. If today’s high prices do drive tomorrow’s wage negotiations and set off an upward spiral, the result could be a longer period of high inflation that prods the Fed to raise interest rates to tamp down demand and cool off prices, slowing the economy and possibly even sending it back into a recession.

“We haven’t seen a wage-price spiral for decades, but we haven’t seen inflation like this for decades, either,” said Jason Furman, a Harvard University economist and former economic adviser in the Obama administration, calling the possibility of a wage-driven spiral “an open question.”

A scenario like that has not taken place since the 1970s and 1980s. But a situation like the pandemic lockdowns and subsequent reopening has never happened at all.