M1 can _only_ be held by commercial banks. The banks _only_ use this money to settle transactions between themselves and as eligible reserves. The money isn't used to buy stocks or bonds or whatever. The purpose of an increase in M1 money supply is to incentivise the commercial banks to lend more.

It's not the case that some person has more money because M1 has gone up! Instead, what happens is that as the banks are more willing to lend, people will be able to get credit easier, so more people borrow and that's how money that you and I can use (I assume hardly anyone uses notes and coins anymore) enters the economy. If the banks don't lend because there is no demand for credit, then the increase in M1 has little to no impact on the aggregate money supply. You can see that M1 increased by 25% over the year. Bank deposits only increased by 15% over the year, implying that the increase in M1 didn't have as much as an effect on bank credit as you might imagine.

You haven't cited any evidence, you're just speculating.

It is a mathematical certainty that if the monetary supply went up by 25%, someone has to have 25% more money in an account somewhere.

I'm not sure where this 'no evidence' accusation comes from. It isn't in contention that the monetary supply went up 25%, the population isn't growing at anything near that sort of rate. There aren't many ways to make that work out, mathematically, unless someone (realistically, quite a few someone) have 25% more dollars in an account.

What you haven't provided any explanation of is why you think there's a small group of people that suddenly have 25% more money scot free. Read rojeee's explanation above. The burden of proof is on you. That's simply not how it works.

Inflation is what, 2%? And the velocity of money is around 1. It is hardly speculation to say that the typical doesn't-save consumer hasn't got 25% more money in their account. Someone does.

If you're talking about the "M1 can _only_ be held..." comment, rojeee is wrong. M1 includes physical currency [0], so entities other than commercial banks can hold it. If I substitute M2 for M1 the point is still indecipherable. Eg - "the increase in M1 has little to no impact on the aggregate money supply" - as far as I'm concerned the M2 is the monetary supply so that makes no sense.

> The burden of proof is on you.

M2 went up 25%, Pidgeonhole principle: someone's account is up 25%. Inflation went up 2%: it isn't ordinary consumers. QED.

[0] https://fredblog.stlouisfed.org/2021/01/whats-behind-the-rec...