Quantile Inferences for Inflation and Its Variability: Does a Threshold Inflation Rate Exist?

Using quantile regressions and cross-sectional data from 152 countries, we examine the relationship between inflation and its variability. We consider two measures of inflation - the mean and median - and three different measures of inflation variability - the standard deviation, coefficient of variation, and median deviation. Using the mean and standard deviation or the median and the median deviation, the results support both the hypothesis that higher inflation creates more inflation variability and that inflation variability raises inflation across quantiles. Moreover, higher quantiles in both cases lead to larger marginal effects of inflation (inflation variability) on inflation variability (inflation). Using the mean and the coefficient of variation, however, the findings largely support no correlation between inflation and its variability. Finally, we also consider whether thresholds for inflation rate or inflation variability exist before finding such positive correlations. We find evidence of thresholds for inflation rates below 3 percent, but mixed results for thresholds for inflation variability.

Tax Collection in History

Methods of tax collection employed by modern governments seem dull when compared to the rich variety observed in history. Whereas most governments today typically use salaried agents to collect taxes, various other types of contractual relationships have been observed in history, including sharing arrangements which divide the tax revenue between the government and collectors at fixed proportions, negotiated payment schemes based on the tax base, and sale of the revenue to a collector in exchange for a lump-sum payment determined at auction. We propose an economic theory of tax collection that can coherently explain the temporal and spatial variation in contractual forms. We begin by offering a simple classification of tax collection schemes observed in history. We then develop a general economic model of tax collection that specifies the cost and benefits of alternative schemes and identifies the conditions under which a government would choose one contractual form over another in maximizing the net revenue. Finally, we use the conclusions of the model to explain some of the well-known patterns of tax collection observed in history and how choices varied over time and space.