A Search-Theoretic Monetary Business Cycle Model with Capital Formation

Search-theory has become the main paradigm for the micro-foundation of money. But no comprehensive business cycle analysis has been undertaken yet with a search-based monetary model. This paper extends the model with divisible goods and divisible money of Shi (JET, 1998) to allow for capital formation, analyses the monetary propagation mechanism and contrasts the model's implications with US business cycle stylized facts. The propagation mechanism based on a feedback between increased search intensity and depleted inventories only survives in the presence of non-negligible capital adjustment costs. With intermediate adjustment costs the model is able to replicate fairly well the volatility and cross-correlation with output of key US time series, including sales and inventory investment.

Consumption and Health

Many studies show that individuals do not perfectly smooth consumption at older ages. We argue that an important explanation is that health status declines with age, making consumption at older ages less desirable. We incorporate health status into a standard incomplete markets life-cycle model, by allowing the marginal utility of consumption to increase with health status. Life-cycle income, mortality risk and health status are exogenous in the model and calibrated on Swedish data. Life-cycle consumption is endogenous and matches well Swedish Consumer Expenditure Survey data; consumption expenditure increase with age until about 60 years, and then falls with about 25% to 80 years. An alternative model with mortality risk, but without health status, fails in capturing the fall in consumption with age seen in the data.