By definition, government spending on a means-tested program should decline as average earnings increase, insofar as benefit levels fall with increased earnings and insofar as the earnings increase makes some individuals ineligible for any benefits. Both of these conditions are satisfied in the case of the effect of minimum wages on SNAP benefits. SNAP benefits decline 30 cents for every 1 increase in family earnings and phase out entirely at about the federal poverty level. Low-wage workers are disproportionately enrolled in SNAP. A minimum wage increase that lifts many families out of poverty should therefore reduce public expenditure on this program.
But the relationship may be more complex. If a minimum wage increase reduces employment, thereby adding to the number of unemployed, the number of SNAP recipients could increase. SNAP recipients who are unemployed, disabled, or retired will not be affected by a minimum wage increase. Conversely, if many SNAP recipients have earnings that already bring them close to becoming ineligible for the program, a minimum wage increase may have a very small effect on SNAP expenditures. The quantitative effect of minimum wages on SNAP spending is not self-evident. It requires a causal analysis.
...According to the finding in this report a 10 percent increase in the minimum wage reduces SNAP enrollment by between 2.4 percent and 3.2 percent and reduces program expenditures by an estimated 1.9 percent. Taking into account each state’s 2014 minimum wage level, we apply these results to the legislative proposal put forward by Sen. Tom Harkin (D-IA) and Rep. George Miller (D-CA) to raise the federal minimum wage to $10.10 per hour. Our results imply that the effects of the Harkin-Miller proposal on wage increases would reduce SNAP enrollments by between 6.5 percent and 9.2 percent (3.3 million to 3.8 million persons). The total anticipated annual decrease in program expenditures is nearly $4.6 billion, or about 6 percent of current SNAP program expenditures."
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Six of one, half a dozen of the other?