You also fail to mention the marginal propensity to consume. Whereas poorer households tend to spend marginal income as opposed to higher income households who

You also fail to mention the marginal propensity to consume. Whereas poorer households tend to spend marginal income as opposed to higher income households who pay down debt or save the money. The former which tends to propel the velocity of money through the economy whereas the latter stagnates it via savings that have no where to go.