Is there any relationship between inflation and fiat redesign? As in new bills with new designs?

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Sure

Seems like it mostly ‘anti-forging’ technology. Different materials, holograms etc

Average lifetime of any fiat currency is 27 years. After that the currency needs to be replaced or reformed as it has lost at least 50% of it's purchase power (by design) with 2% inflation p.a.

So about every generation. I’m sure there’s a power law that it follows.

Yes, it's called debt.

Well at the US dollar bills they have removed some words during the years 👀

They still need to remove the words "reserve currency"

I noticed here in Japan as the yen was weakest, they redesigned the currency.

Pretty sure that happened in Argentina...

Or I think they just inflated the currency to the point of failure several times, so they had to make a new currency...

The second. Like "yea this shit ain't working no more, we now have this one"

Yes, here are some of the mockups for the new EUR notes.

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With the average lifetime of any fiat currency being 27 years there is no way around replacing the currency or reforming it since it has lost at least 50% of it's value at 2% inflation p.a. So yes, new banknotes are a built-in feature for any currency since none of them is designed to succeed.

Cash is such a small portion of money, I doubt it. It probably has more to do with the currency needing a "rebrand" when it's weak

Weak attempt at currency marketing bullshit. Like, yeah, our currency sucks, but it is newer now. Fresh coat of paint on a steaming turd.

Are the making the bills smaller while claiming they are worth the same amount?