I'm probably wasting digital ink, but for decades, inflation meant increased money supply. Austrian / Free-market economists still consider that to be the definition of inflation. There will be varied implications from the printed money, which may be an increase in the general price level. But that does not have to occur. Ghost companies, whether in U.S., Europe, China, etc., are other possible results.
The point however is that prices are always higher than they would have been. And/or assets have been wasted. But that requires thinking, and an appropriate epistemology re money / economics. For instance, except for very brief periods, computer & related prices have only declined -- regardless of how much money printed. Yet, likely they have always been higher than they would have been without the fiat currencies. Just a brief comment for those whom still have an open mind.
I re-read my own post above, and while it is correct, I realized it could be misinterpreted. In QE the fed is crediting bank reserves in exchange for Treasuries held by the private sector. This does increase the money base (reserves plus currency), and that's why I think it is, incorrectly though, referred to as "printing". Treasuries, when looked at correctly, do not in the case of the U.S. represent real borrowing. It's more accurate to view Treasuries as an interest paying store of money. In QE, the Fed is simply converting this stored money to its spendable form as bank reserves. Naturally, increasing reserves puts downward pressure on interest rates, which is the intention of QE; thus to make money more cheaply available to the private sector and encourage borrowing. Typically, this is used to bring the economy out of recession. But this effort can be stymied in a deep recession, such as the Great recession. If the private sector won't cooperate and agree to borrow, than the QE effort can be for naught. This was Bernanke's dilemma in the early phases of recovery from the 2008-9 market crash. Certainly under such a circumstance the fed could "print" until the cows come home, but there would be no inflation. Get the timing wrong, however, and do QE too near full employment and inflation would be the result.
Deficit spending works somewhat differently but may achieve a similar end. Generally when big deficits, ~Trillion or more, are announced, they are spread out over a period of years, perhaps a decade. In net, once coupled to the subsequent sale of an identical dollar amount of Treasury securities, a deficit leaves bank reserves unchanged. The money added to reserves by government's purchase of goods and services from the private sector is exactly balanced by removal of reserves when the Treasuries matched in amount to the deficit are auctioned. If however the deficit creates demands on the private sector causing a strain on productivity that might induce hiring, and this occurred near full employment, inflation might again be the result. Under this circumstance, the Fed is quite powerless to do much other than induce unemployment by selling Treasuries to drain reserves* and force up rates, making credit more expensive.
There may be simultaneously high demand for workers and the products of their labor, an inflation fueled rising cost of production and rising interest rates as the fed forces up the cost of credit in an attempt to cool the economy and inflation. Unfortunately the feds "tightening" may not be very effective until at least mild unemployment is induced. If this situation should happen at the same time external economic forces are causing rising costs of raw materials, energy and transportation, a real conundrum can be expected.
Under such a circumstance, a creative approach by both the Administration and Congress is needed. Barriers to competition created by obsolete statutes and regulations must be brought down, tariffs eliminated, bottlenecks in supply opened up, and transportation and energy costs must be forced down. Needless to say a Congress immobilized by a cloakroom filibuster will not be up to the task. And a timid administration will be no help at all. The nation may face an economic "hurricane".
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* The fed eliminated the specific reserve requirement in 2019 or 2020. They now use a target funds rate band, the low being set by the rate the fed pays on reserves and the high I'm not sure, possibly via the discount window rate.