New York (CNN Business) Last week's coronavirus-fueled meltdown on Wall Street rivaled some of the scariest moments in modern history: The Great Depression, Black Monday, the Sept. 11 terror attacks and the 2008 financial crisis.

History shows that markets tend to post powerful rebounds the week after such severe selling. And that scenario is playing out Monday, with the S&P 500 climbing nearly 3% on hopes that global central bankers will respond to the crisis by slashing interest rates. The Dow climbed more than 750 points, recovering a chunk of last week's 3,583-point nosedive.

History shows that type of recovery is expected.

In the week after a 10% drop or more, the S&P 500 has averaged a 3.5% gain, according to Bespoke Investment Group. The index was positive 80% of the time, with the two exceptions occurring in 1929 and 1940, at the beginning and end of the Great Depression.

The returns are a bit more mixed in the longer run, however.

Bespoke found that three months after a 10% weekly plunge, the S&P 500 averaged a gain of 5.6%. However, the median gain was just 1.1%. And the broad index was actually down more often (53%) than it was up (47%).

For instance, the last time the S&P 500 suffered such ferocious selling was 2008 during the height of the financial crisis. The index plummeted 18% the week ended October 10, 2008 as panic gripped Wall Street and Congress approved a $700 billion bank bailout plan.

Markets spiked 4.6% the following week in 2008, but the rally proved short-lived as the crisis deepened. The index was down three and six months later and wouldn't bottom until March 2009.

Biggest risk to world economy since 2009

The recovery from the current period of turmoil will be dictated by the economic damage done by the coronavirus outbreak and ability of policymakers to soothe nervous investors.

"It's a little too soon for us to call an all-clear just yet," said Rob Haworth, senior investment strategist at US Bank Wealth Management.

Haworth said he needs more clarity on the number of infections and deaths from the coronavirus -- as well as the consequences to the economy.

"We don't think we're just there yet," Haworth said.

The coronavirus poses the biggest risk to the world economy since 2009 and could cut growth in half if the outbreak continues to spread, according to the Organization for Economic Cooperation.

"The viral correction could easily approach bear-market territory within the next few days given the pandemic of fear," Ed Yardeni, president of investment advisory Yardeni Research, wrote in a report to clients Monday. Yardeni said that rather than a replay of the long financial crisis of 2008 and 2009, this selloff could be relatively brief.

Rate cuts ahead?

The good news for investors is that central bankers are taking the crisis seriously. Although rate cuts won't stop the coronavirus, they could stabilize financial markets.

Federal Reserve Chairman Jerome Powell issued a rare statement Friday acknowledging the coronavirus poses "evolving risks" to the US economy and promising the US central bank will "act as appropriate" to support growth.

Goldman Sachs and Bank of America are now calling for the Fed to slash interest rates by a half a percentage point at the March meeting, or even before in an emergency action.

Goldman Sachs put out a report Sunday saying the US economy is likely to avoid a recession, although GDP will slow to 0.9% in the first quarter and zero in the second quarter before rebounding.

"The stock market will recover once investors perceive that the worst is over for the global health crisis and that earnings will start growing along with the global economy," Yardeni said. "We think that could happen by mid-year."