Elastic Labour Supply and Home Production in a Monetary Growth Model

This study constructs a monetary gender growth model with capital accumulation and endogenous labour supply. The real aspects of the model are based on the neoclassical growth theory and monetary aspects of the model are based on the cash-in-advance (CIA) approach. We show that the dynamics of the economy can be described by 2-dimensional differential equations. We simulate equilibrium and motion of the economy with specified monetary policies, household preference and technology. As the monetary economic system is unstable, the economy may either experience unlimited growth or economic crisis. We also study effects of changes in some parameters on the economic equilibrium. For instance, as the woman raises her propensity to stay at home, the capital intensity is not affected, which results in that the wage rates, the rate and output level per unit of labour input are not affected. Nevertheless, the man increases his work time and the woman reduces her work time, resulting in the fall of the labour supply. The money holing, durable goods used at home and consumption level per household are reduced; also the total wealth, total capital inputs, total durable goods and total output levels are reduced.