where for a given economy, over some period \(t\), and ignoring any short term effects,
When stripped of assumed relationships involving interest rates and endogenous versus exogenous supply’s of money, this formula becomes nearly tautological, but is nevertheless illustrative and useful.

Seigniorage Shares

The seigniorage shares model was built with explicit reference to the Equation of Exchange. It’s author, Robert Sams, stated the system’s basic rule as follows:
[A]t the end of some pre-defined interval of time, if the change in coin price over the interval is \(x\%\), change coin supply by \(x\%\).