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This paper investigates whether the quantity theory of money is still alive. We argue that it is, but that the slippage is not negligible. For countries with low inflation, the relationship between average inflation and the growth rate of money is tenuous at best. A correction for variation in output growth and the opportunity cost of money, using theory implied elasticities, helps explain the slippage. For the period since 1990, inflation targeting at low rates of inflation makes it harder to establish the long run relationship between monetary growth and inflation.
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We use a model of automation to show that with the current U.S. tax system, a fall in automation costs could lead to a massive rise in income inequality. This inequality can be reduced by raising marginal income tax rates and taxing robots. But this solution involves a substantial efficiency loss for the reduced level of inequality. A Mirrleesian optimal income tax can reduce inequality at a smaller efficiency cost, but is difficult to implement. An alternative approach is to amend the current tax system to include a lump-sum rebate. In our model, with the rebate in place, it is optimal to tax robots only when there is partial automation.
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