The ability of unions to raise the wages of their members above the wages of similar but nonunionized workers is well documented. This paper examines empirically the implications of that wage differential for resource allocation and economic efficiency. This is accomplished by explicitly solving a numerically specified general equilibrium system with and without the wage differential. Comparison of the two solutions yields the desired information. The findings indicate that the wage premium results in adjustments in prices and quantities of factors and commodities that vary widely across industries. These adjustments are found to carry a small deadweight loss, as measured by the Hicksian equivalent variation.

Auditing, Internal controls, Audit judgement, Consensus

The employment and earnings effects of the minimum wage are estimated by parameterizing a hypothesized relationship between underlying market employment and wage relationships versus observed wage and employment distributions in the presence of a legislated minimum. If there had been no minimum during the 1973-78 period, we estimate that employment among out-of-school men 16-24 would have been approximately 4% higher than it was. Among young men 16-19 employment would have been about 7% higher; among those 20-24, 2% higher. Employment among black youth 16-24 would have been almost 6% higher than it was, compared with somewhat less than 4% for white youth. Although it is sometimes argued that the adverse employment effects of the minimum are offset by increased earnings, we find virtually no earnings effect. Had the minimum not been raised over the 1973-78 period, inflation would have greatly moderated the adverse employment effects of the minimum, with approximately two-thirds of the potential employment gains from elimination of the minimum attained. The weight of our evidence is inconsistent with a general increase in youth wage rates with increases in the real minimum. Our findings support the hypothesis that the effects of the minimum are concentrated on youth with subminimum market wage rates.

Black and Scholes [1] derived the pricing equation for a European put when the stock price follows geometric Brownian motion. For this same case, Merton [5] derived the pricing equation for an American put with infinite time to maturity. Brennan and Schwartz [2], Rubinstein and Cox [7], and Parkinson [6] have developed numerical solutions for the price of an American put. Numerical solutions are expensive and do not provide much intuition. Naturally, an analytic solution would be much preferred; unfortunately, pricing the American put requires solving a formidable and presumably intractable boundary value problem.