Essays in Macroeconomics

This dissertation consists of two parts. The first part is about understanding the mechanism behind female labor supply movement over economic development. Female labor force participation follows a U-shape pattern over per capita GDP cross nationally as well as within some countries. This paper questions if this pattern can be explained through sectoral, uneven technological movements both at market and at home. For that I develop a general equilibrium model with married couples and home production. I defined multiple sectors both at home and in the market. And by feeding the model with uneven technological growth, I observe how participation rate moves over development. My results indicate that a decrease in labor supply is mainly due to structural transformation. Meaning, a higher technology in a large sector causes prices to go up in that sector relative to other. Hence, labor allocated to this sector will decrease. Assuming this sector has a big market share, it will decrease the labor supply. Also, I found that the increase in female labor supply is mostly because of movement from home to market as a result of a higher technological growth in the market. The second part is about developing a methodology to verify and compute the existence of recursive equilibrium in dynamic economies with capital accumulation and elastic labor supply. The method I develop stems from the multi-step monotone mapping methodology which is based on monotone operators and solving a fixed point problem at each step. The methodology is not only useful for verifying and computing the recursive competitive equilibrium, but also useful for obtaining intra- and inter-temporal comparative dynamics. I provide robust intra-temporal comparative statics about how consumption and leisure decisions change in response to changes in capital stock and inverse marginal utility of consumption. I also provide inter-temporal equilibrium comparative dynamics about how recursive equilibrium consumption and investment respond to changes in discount factor and production externality. Different from intra-temporal comparative statics, these are not robust as they only apply to a subclass of equilibrium where investment level is monotone.