We develop a general equilibrium model of earnings, income and wealth heterogeneity in continuous time. We extend existing analytical and numerical methods to solve the model. We calibrate the model to U.S. data and find that stochastic interest rates provide a mechanism to link earnings, income...

Financing consumption of the elderly in the face of the projected increase in life expectancy is a key challenge for economic policy. Moreover, standard structural models with fully rational agents suggest that about 50-60 percent of old-age consumption is financed with voluntary savings, even...