Inflation isn't going away any time soon and the Fed may have to clamp down on it even harder. Here's what Wall Street experts including Bill Gross think

• Data this week showed inflation in April was still running hot and may not have peaked.
• Wall Street watchers like Mohamed El-Erian and Bill Gross say the Fed will need to get tougher on inflation.

US inflation is running a lot hotter and through a lot more sectors of the economy than expected and the Federal Reserve is under pressure to try to bring some of those price pressures down before they cause serious harm to the economy.

Data this week showed inflation rose more than expected in April, up 8.3% year-over-year. This was below March's 8.5% increase but above forecasts for a reading of 8.1% and still at 40-year highs.

Stocks and bonds slid and the dollar soared to a 20-year peak, buoyed up by investors seeking juicier returns than they might find elsewhere.

Some market watchers believe there's a case for the Fed to act even tougher on rates, even raising them by three quarters of a point to try to stave off inflation.

Chair Jerome Powell said this week that the central bank can only control the demand side of the equation, not the supply side, which has been a driving factor in the rise in consumer price pressures.

"The question whether we can execute a soft landing or not, it may actually depend on factors that we don't control," Powell told Marketplace in an interview.

The Fed raised interest rates by 50 basis points in May, the biggest increase at one meeting in 22 years to quell inflation. The faster hiking cycle will primarily fight inflation by weakening demand. Powell said further 50-basis points rate hikes would likely follow at the central bank's policy meetings in June and July, he dismissed 75-basis point increases.

Economists like Mohamed El-Erian disagree and called on the Fed to move more aggressively, with Bill Gross and Liz Young saying the Fed would be prompted to do more to control inflation.

Here's what a number of market experts think:

Mohamed El-Erian, chief economic adviser at Allianz

Economist and outspoken Fed critic Mohamed El-Erian has called out the Fed for its slow response to inflation and called on it to do more.

He said the Federal Reserve needs to be blunt about taming rising inflation and must keep options open for larger rate hikes.

"The Fed right now needs to be a little bit more open minded, not try to just give us good news. Be brutally honest," El-Erian said in an interview with CNBC's "Squawk Box" on Wednesday.

"They've got to be more humble. They can't take anything off the table," he said. "You can't say a 75-basis point is off the table."

Bill Gross, billionaire investor and co-founder of PIMCO

"Unknowable for now but I suspect 3-4% CPI is where we settle in, absent continued hostilities in the Ukraine. The Fed has more wood to chop if it wants to return to the 2% level."

The "bond king" has previously been cautious of the Fed hiking rates too aggressively and risking a recession.

Peter Schiff, chief economist & global strategist at Europac

"April CPI rose a more than expected .3%, with the core spiking .6%. Stocks and bonds are selling off as investors realize the Fed must fight harder to defeat inflation. What they don't realize is that inflation has already won and the Fed will soon stop pretending to fight it."

Liz Young, head of investment strategy at SoFi

"CPI +8.3% y/y is lower than last month, but not low enough. We're still in the thick of this. Fed has no reason to stop, so market has no reason to calm down yet."

Bank of America strategists

"This report leaves the Fed comfortable with front-loaded rate hikes in the near term. Bank of America view risks of 75bp hike still low."

"But clearly this report adds to the debate on the margin."

Goldman Sachs strategists

"We expect significant growth deceleration, in level terms inflation remains sufficiently above target that central banks will likely continue to hike."

"The tightening in broader financial conditions means the Fed will likely have to be less restrictive in its policy stance than we previously assumed."

Seema Shah, chief strategist at Principal Global Investors

"We expect headline inflation to only fade to 5.5% by year-end. With companies still displaying impressive pricing power, inflation expectations elevated, the labour market red hot and supporting strong wage growth, and shelter inflation still rising, the pressure on the Fed is going to remain intense. A couple more prints like this and a 0.75% rate rise may be back on the table."

Richard Flynn, managing director, Charles Schwab UK

"Growth has weakened in the first months of 2022. During the pandemic, a double-barrelled boost from high government spending and loose monetary policy kept the economy afloat. This stimulus has now reversed; the Fed has embarked on a series of aggressive rate-hikes in a bid to tackle inflation, which is likely to put further pressure on consumer demand and economic growth. The negative consequences of high prices are not in the rearview mirror."

Silvia Dall'Angelo, senior economist, Federated Hermes

"Today's inflation will do little to assuage stagflationary concerns in financial markets. Inflation will likely remain sticky in coming months, meaning that uncertainty about inflation developments and the Fed's reaction function will linger, resulting in elevated market volatility. Today's report will also strengthen the Fed's resolve to tighten aggressively at its coming meetings, crystallizing expectations of 50bp hikes in June and July."