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A Multivariate Linear Regression Test for the Arbitrage Pricing Theory

Journal of Finance 1982 37(4), 1037-1042
A test for the arbitrage pricing theory which employs a multivariate linear regression model is developed. Given a sample of return premiums for a set of N assets which includes a subset of k linearly independent portfolios, the k factor APT hypothesis is accepted if the intercept term is zero in the multivariate regression of the returns on the k portfolios. The test may be carried out simply, by using univariate multiple regression software. The relation of this test to the concept of performance potential and Sharpe's measure of performance is also discussed. If the performance potential of the k portfolios is not significantly less than the performance potential of the complete set of N assets, then the k factor APT hypothesis is accepted.

A Generalization of the CAPM Based on a Property of the Covariance Operator

Journal of Financial and Quantitative Analysis 1982 17(5), 783
A key assumption behind the traditional capital asset pricing model (CAPM) is the joint normality of security returns. Recently, however, this assumption has been relaxed in at least two directions. First, the emergence of continuous-time models has shifted emphasis from discrete-time random variables to continuous-time diffusion processes, with log-normality (as opposed to normality) for security prices in the stationary case. Second, the recognition that the CAPM is difficult to test empirically has led to the development of an asset pricing theory based on an arbitrage argument in large markets and free of any distributional assumption.

Further Results on the Constant Elasticity of Variance Call Option Pricing Model

Journal of Financial and Quantitative Analysis 1982 17(4), 533
David C. Emanuel, James D. MacBeth, Further Results on the Constant Elasticity of Variance Call Option Pricing Model, The Journal of Financial and Quantitative Analysis, Vol. 17, No. 4, Proceedings of the 17th Annual Conference of the Western Finance Association, June 16-19, 1982, Portland, Oregon (Nov., 1982), pp. 533-554

Causes of the Current Stagflation

Review of Economic Studies 1982 49(5), 707
Since 1975 labour slack has been unusually high in the OECD countries, and yet inflation has not diminished. The less favourable mix of unemployment and rate of change of inflation (which we call stagflation) is explained by a fall in the feasible rate of growth of real wages unmatched by a reduction in the constant term in Phillips curve. To investigate this mechanism, conventional wage and price equations are estimated for 19 countries and then used for simulation. Stagflation has been caused in roughly equal amounts by rising relative import prices and by the fall in the rate of productivity growth. In the basic model the Phillips curve is assumed not to adapt to falls in feasible real wage growth, but in a final section an adaptive wage equation is estimated, which confirms that the process of adaptation is slow.

Carbon dioxide and intergenerational choice

American Economic Review 1982
Depending on ethical beliefs, different decisions emerge for resolving the carbon dioxide (CO/sup 2/) issue. It is doubtful that an international consensus can be reached on a correct ethical criterion. Perhaps the best strategy would be to delay acceptance of either a particular set of beliefs or the existing scientific evidence and wait for more-accurate and conclusive research to emerge. If the scientific evidence is accepted as valid, and all future generations that will exist are evaluated equally, then the optimal current regulatory strategy is to restrict, as much as possible, current emissions of CO/sup 2/. 17 references, 2 figure, 1 table.