The Correlation between Money Base Growth and Inflation

I’ve been reading through undergraduate textbooks, trying to figure out where the idea that money base expansion must necessarily manifest itself in higher inflation. In Stephen Williamson‘s macro textbook, he argues that fears of inflation are motivated by the view that eventually, money base expansion will feed into money expansion (box on pp. 432), despite the fact that there is no obvious contemporaneous correlation between the two variables.

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The Hill: “Senate rejects million-dollar tax-cut compromise in Saturday session”

Or more clearly, all Senate Republicans plus one four Democrats reject a tax cut for incomes below one million dollars. From The Hill:

Republicans had held firm in recent weeks that the tax cuts — designed to benefit the wealthiest Americans — should be permanently extended as a whole. Democrats had argued that only the cuts for the middle class should be extended, also blasting Republicans for failing to propose any spending cuts or revenue increases to pay for all of the cuts.