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Given the variety of existing interpretations, the issue of purchasing power — especially its long-term behavior — often lacks a clear and objective mathematical formulation, which is addressed by proposing a model that represents its evolution under such a scenario. The purchasing power of fiat currency is defined here as the quotient between base and quantity, under the assumption of a constant base and an indefinitely expanding quantity over time.
lim Q → ∞ (B / Q) = 0, where B = ε ≪ 1
Does this asymptotic behavior make sense, given that B is a fixed, small value and Q grows without bound?
I think it's a category mistake to look for a precise mathematical formulation.
Purchasing power is downstream of subjective valuations, which change over time and have no meaningful objective measure.
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