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Poverty and Inequality Under Income and Price Dispersions

We introduce an analytical framework for welfare analysis that accounts for changes in the joint distribution of prices and incomes by using parametric formulae of poverty and inequality measures. We propose statistical indicators for the levels, variabilities and a statistical link of price indices and nominal living standards, which are consistent with a bivariate lognormal model. Our analysis provides intuitive insight about the social welfare impact of economic shocks affecting levels, variabilities, and correlation of prices and incomes. The roles of price and income variabilities for poverty and inequality are exhibited, with the possibility of several variation regimes.