This paper outlines models of capital market equilibrium when there are explicit barriers to international investment in the form of a tax on holdings of assets in one country by residents of another country. There is a corresponding subsidy on short positions in foreign assets. Asset prices deviate from the predictions of the world capital asset pricing model. Investors do not hold a mixture of national market portfolios, but the mix of risky assets is the same for every investor in a country. Optimal portfolios tend to be heavy in domestic assets, and light in foreign assets. Tax free investors, however, tend to hold assets anywhere in the world that are taxed heavily. Estimates of the magnitude of the average tax (or the magnitude of effective barriers to international investment) can be made by comparing the average return on the minimum variance zero β portfolio, z, with the average across countries and time of the short-term interest rate. When barriers are ineffective, the expected return on portfolio z will be the average short-term interest rate, and the world capital asset pricing model will hold

This study examines the market for acquisitions and the impact of mergers on the returns to the stockholders of the constituent firms. While employing the two-factor market model as recently developed and applied by Black-Jensen-Scholes and Fama-MacBeth, this study also considers changes in risk in analyzing the impact of mergers on stock prices. The results of the study are consistent with the hypothesis that the market for acquisitions is perfectly competitive and with the hypothesis that information regarding mergers is efficiently incorporated in the stock prices. Stockholders of acquiring firms seem to earn normal returns from mergers as from other investment-production activities with commensurate risk levels. Stockholders of acquired firms earn abnormal returns of approximately 14%, on the average, in the seven months preceding the merger.

This paper considers the problem of the investor who has numerous opportunities for revising his portfolio and whose choices are governed by a utility function defined on ‘terminal’ wealth, U0(x0). Attention is focussed on the behavior of the induced utility functions of intermediate wealth with n periods to go, Un(xn), and the associated investment policies. Conditions under which the functions Un(xn) will tend to isoelasticity have previously been given by Mossin and by Leland. In this paper, the conditions for convergence are weakened further, to the point where they appear sufficiently broad to encompass perhaps most utility functions of practical interest

Much controversy surrounds the use of the portfolio investment rules induced by maximizing the expected logarithm of terminal wealth (henceforth referred to as the MEL policy). It has been thought that the MEL policy is a good approximation to the optimal investment program when the utility of terminal wealth function is bounded and when the time horizon is long. However, I exhibit a class of bounded utility of terminal wealth functions for which the MEL policy is a very poor approximation to the optimal program. Hence, the wholesale use of the MEL policy as an approximation to the optimal program is unwarranted.

This paper presents some of the implications of modern portfolio theory for the equilibrium structure of wages under conditions of uncertainty. The primary model presented is a model of wage uncertainty and hence the equilibrium structure is derived in terms of expected wages. The equilibrium structure with the assumption of a perfect labor market (e.g., labor units are infinitely divisible and costlessly mobile) and a perfect capital market is shown to have a very simple linear form. The model assumes homogeneous labor units as well as the usual single-period capital asset pricing model assumptions

This paper examines stock market efficiency with respect to money supply data by testing (1) regression models of stock returns on monetary variables and (2) trading rules based on money supply data. The evidence indicates no meaningful lag in the effect of monetary policy on the stock market and that no profitable security trading rules using past values of the money supply exist. Therefore this evidence is consistent with the efficient market model. Current security returns incorporate all information contained in past money supply data and, in addition, appear to anticipate future changes in the money supply. A number of previous studies have concluded that lags exist and can be used in profitable trading rules. Analysis of these studies demonstrates that for a variety of reasons the evidence in these past studies does not sustain such conclusions

In this article, the quantitative form of capital market equilibrium is derived for a multi-period economy in which (a) there are many consumption goods whose future prices are uncertain, and (b) the investment opportunities available to consumers include both common stocks and default-free bills of many different maturities. Particular emphasis is placed on consumer reaction to uncertainty about shifts in commodity prices and the term structure of interest rates and on the way one should expect to observe this reaction reflected in portfolio choices and equilibrium stock prices.

Alternative sets of sufficient conditions are developed under which equilibrium security rates of return are determined as if there exist only identical individuals whose resources, beliefs, and tastes are a composite of the actual individuals in the economy. These conditions include as special cases all those previously examined in the literature (including conditions sufficient to produce the two-parameter mean-variance model), as well as others. Whenever such a composite individual exists it is shown that (1) valuation equations take a specific form and contain only exogenous parameters of the economy; (2) market exchange arrangements are Pareto-optimal; and (3) competitive value-maximizing firms make completely specified Pareto-optimal production decisions both over dates and states. These results rely on the observation that under popular homogeneity assumptions regarding beliefs and tastes, even though the securities market may be incomplete, equilibrium rates of return are determined as if there were an otherwise similar Arrow-Debreu economy.