I considered deleting the post, but this seems more cowardly than just admitting I was wrong. But TIL something!
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Value is a weird concept. Even if mathematically the two stacks should have the same value, odds are some people will consider the $100 bill stack worth more, and be willing to do more in exchange for it. That effectively does make it worth more.
The moment you bring in the concept of actually using this money to pay for things, you have to consider stuff like how easy it is to carry around, and the 100s win. If your pile is infinite then you don't even need 1s at the strip club.
An infinite stack of either would devalue the currency so as to be completely worthless. Well, perhaps worth whatever you can recycle those bills into.
Yes and no. If you spend that infinite money, then yes. The currency would be massively devalued as you would be adding money into the economy.
If you sat on it, nothing would happen. I imagine that the Federal Bank doesn't know about your infinite stash and therefore isn't taking into account any equation.
So, the value is inversely correlated to the ability to spend it.
... Still sounds worthless, TBH.
The money only devalues based on how much is in circulation. You'll only devalue the currency as you spend it and you'd have to spend a trillion to have a non-minor effect.
If you manage to keep an infinitely large stack of bills a secret, sure. Once somebody notices and word gets out, I'm doubtful it doesn't get devalued in a hurry. Since these are bills that we are assuming are valid, it's going to seem like the central bank is printing money with abandon. Famously not great for public confidence in a currency. Why would I keep my wealth in a currency that somebody has an infinite amount of? They may not be spending it today, but who knows when that changes? I'd certainly be scrambling to convert mine to something else.