Dynamic Factor Models of Consumption, Hours, and Income

This paper addresses two questions. First, what are the key factors that affect a consumer's lifetime budget constraint and how do they evolve over the lifecycle? Second, how do consumers respond to changes in these factors? We examine the permanent income hypothesis and the Keynesian consumption model using a dynamic factor model of consumption, hours, wages, unemployment, and income. We show that a quarterly dynamic factor model with restrictions on the lag structure nay be used with annual panel data to account for the fact that in many micro panel data sets the variables relevant to a study are measured at different time intervals and/or are aggregates for the calendar year. By using several income indicators we are able to extend the panel data studies of Hall and Mishkin and Bernanke to allow for measurement error. We are also able to study the response of income and consumption to some of the factors which determine them. In addition, we study a dynamic factor representation of a joint lifecycle model of consumption and labor supply. We provide estimates of the effect of wages, unemployment, and other income determinants on the marginal utility of income as well as estimates of the substitution effects of wage change on labor supply and consumption.