This paper derives a single-beta asset pricing model in a multi-good, continuous-time model with uncertain consumption-goods prices and uncertain investment opportunities. When no riskless asset exists, a zero-beta pricing model is derived. Asset betas are measured relative to changes in the aggregate real consumption rate, rather than relative to the market. In a single-good model, an individual's asset portfolio results in an optimal consumption rate that has the maximum possible correlation with changes in aggregate consumption. If the capital markets are unconstrained Pareto-optimal, then changes in all individuals' optimal consumption rates are shown to be perfectly correlated.

This paper investigates the conjecture that oligopolistic pricing behavior will invalidate the Lucas-Sargent policy-ineffectiveness proposition even if expectations are formed rationally. The procedure is to examine the properties of an analytical macroeconomic model that incorporates a simplified version of the MPS wage-price sector. It is shown that the validity of the conjecture depends upon the precise manner in which lags are built into the price adjustment equation. A crucial condition is isolated and used to motivate an empirical test. The results, based on quarterly U.S. data, are predominantly consistent with the ineffectiveness proposition.

A simple test for heteroscedastic disturbances in a linear regression model is developed using the framework of the Lagrangian multiplier test. For a wide range of heteroscedastic and random coefficient specifications, the criterion is given as a readily computed function of the OLS residuals. Some finite sample evidence is presented to supplement the general asymptotic properties of Lagrangian multiplier tests.

A. Mitchell Polinsky, David T. Ellwood, An Empirical Reconciliation of Micro and Grouped Estimates of the Demand for Housing, The Review of Economics and Statistics, Vol. 61, No. 2 (May, 1979), pp. 199-205