A Quantitative Theory of Heterogeneous Returns to Wealth

Recent empirical evidence documents that different individuals earn systematically different rates of return, even after controlling for portfolio composition. We propose a general equilibrium theory of residual heterogeneity in rates of return on wealth by embedding a financial market with search frictions into a monetary incomplete-market model. We show that the distribution of rates of return offered in the financial market is endogenous and depends on the marginal product of capital, the return on fiat money, and the joint distribution of households across wealth and financial human capital. When calibrated, the model succeeds in reproducing the extent of residual dispersion in returns to wealth across individuals. We use the calibrated model to study various policies and counterfactuals, with a particular focus on monetary policy