On equilibrium asset price processes

In this article we derive necessary and sufficient conditionsthat must be satisfied by equilibrium asset price processesin a pure exchange economy. We examine a world in which assetprices follow a diffusion process, asset markets are dynamicallycomplete, all investors maximize their (state-independent) expectedutility of consumption at some future date, and investors havenonrandom exogenous income. We show that it is necessary andsufficient that the coefficients of an equilibrium diffusionprice process satisfy a partial differential equation and aboundary condition. We also examine how the dynamics of assetprices are related to the shape of the representative investor'sutility function through the boundary condition. For example,in a constant-volatility economy, the expected instantaneousreturn of the market portfolio is mean reverting if and onlyif the relative risk aversion of the representative investoris decreasing in terminal wealth.     

Construction Cycles in the United States Since World War II*

The article analyzes the cycles of total construction and its major sectors after adjustment for the varying growth trends of real expenditures. Fluctuations in GNP and business fixed investment serve as “reference cycles.” The findings elucidate the relationships between cycles in total construction and its components and between construction and GNP cycles. Special analyses are devoted to the movements of public versus private construction expenditures and to the “countercyclical” behavior of residential building. The paper shows increasing volatility of private construction over time and substantial inter-sector differences in average volatility. Although public policies have a strong potential influence on the cyclical performance of construction, the complexities revealed in the study indicate severe problems in attempts to stabilize its output.