The purpose of this note is to demonstrate that the explicit introduction of consumption patterns alters the traditional relationship between expected return and variance presented by Markowitz, Tobin, Sharpe, Lintner, and others.

The approach of selecting a portfolio of stocks on the basis of expected return and variance was introduced by Markowitz [18] in 1952 and subsequently was more fully developed by him [19] in 1959. Since this time, there has been considerable research either directly concerned with, or related to, the Markowitz model. The utility implications of his assumption that an investor chooses a portfolio solely on the basis of expected return and variance (where variance is identified with risk) have been studied, [1], [A], [22], and [31]. A simplified method of solving for the efficient set of portfolios under the assumption of a regression structure has been developed by Sharpe [26], and approximation methods have been suggested [25] and [29]. Empirical tests (with partially contradictory conclusions) of portfolio selection theory are described in [5], [7], [8], [20], and [27]. Studies of economic questions (such as liquidity preference, equilibrium stock prices, substitutability of risky assets, etc.), as formulated within the portfolio model, can be found in [10], [11], [13], [14], [16], [23], and [28]. A related portfolio selection approach, based on the assumption of a Pareto underlying distribution, has been suggested by Fama [6]. A modification by Baumol [2] introduced a confidence limit criterion. Also, some initial attempts have been made at deriving related adaptive models of portfolio selection, [21], [30].

Considerable attention has been focused in the past two decades on the substitutability of the liabilities of private nonmonetary financial intermediaries for money, narrowly defined as the sum of currency and demand deposits adjusted. Discussion concerning this topic related to the United States, and most of the empirical work has been confined to that country. The essential folklore of that discussion crossed the border into Canada and is now even reflected in its textbooks on Canadian money and banking. However, very little empirical work has been done in Canada to examine this lore.

This paper presents the results of a study which sought to determine whether the status of large member banks as owner-controlled or management-controlled has borne a significant relation to bank profit rates during recent years. The impetus for the study was provided by the view, encountered frequently in the literature, that management-controlled firms may place less emphasis on profit rate than owner-controlled firms, sacrificing it for performance goals regarded as more consistent with management interest. W. Baumo.1 [1, p. 4 and pp. 101–104], for example, has argued that management-controlled firms may sacrifice profit rate in order to achieve higher growth rate and reduced risk acceptance. R. Monsen and A. Downs [11] suggest that such firms may sacrifice both profit rate and growth rate for reduced risk acceptance. K. Cohen and S. Reid, in their study of bank merger activity during 1952–1961 [5], argue that bank managers, as compared to bank owners, place more emphasis on growth rate and less emphasis on profit-associated variables. Other possibilities present themselves. Management-controlled firms may sacrifice profit rate directly for management salaries, bonuses, and fringe benefits, including benefits associated with management prestige. The management-controlled firms may simply pursue efficiency less vigorously.

During the “credit crunch” of 1966, starts of single-family residences fell 19.2 per cent, from 964,000 to 779,000. At that time, 10 states had usury laws limiting the maximum nominal interest rate that could be charged to individuals on residential mortgages to 6 per cent. When interest rates rose to high levels in 1966, there were widespread complaints that this artificial restriction caused residential construction to decline by even larger amounts in those states having 6 per cent usury laws as lenders shifted funds to other states not having this restriction. However, when nominal interest rates rise to the legal maximum, mortgages trade at a discount and the effective yield rises above the legal rate. Presumably, it is the effective yield, not the nominal rate, that is relevant for directing the flow of funds into alternative investments. Thus, there is good reason to doubt that the usury laws did restrict residential construction in spite of the contention by those in the mortgage and construction industries. The purpose of this study is to determine if—and if so, to what extent—state usury laws caused a decline in residential construction in 1966.

In this paper we have dealt with several time dependent cash balance models and have solved them using some form of a control theory maximum principle. The kinds of solutions we obtained were intuitively satisfying from a financial analysis point of view. The main effort for the future will be to extend these very simple models to much more realistic and complicated ones. But to do this will require considerable theoretical research in the area of both deterministic and stochastic control theory. We hope that we have demonstrated the usefulness of these theories in the area of finance and we expect many similar applications to be made in the future.

Recent literature, as it has been developing in this journal and others, suggests that a significant change has taken place in the field of finance. The “new finance” has broader and deeper analytic and empirical content. Its relevant characteristics are: (1) a weakening of the traditional distinction between security analysis and corporation finance; (2) an increased emphasis upon financial management as an integral part of the overall management function; (3) greater emphasis upon the relevance of economic theory in the analysis of financial relations; and (4) more attention to the measurement and testing of hypotheses.

Based upon the ubiquitous nature of cash flow projections in the decision-making process, it would be desirable to be able to find answers to questions of the following form:

(1) How does the level of variability in demand affect the cash outflows for payment of accounts payable liabilities?

(2) Does the method used in planning production influence the firm's cash flow patterns?

Analysis of existing attempts to model the cause and effect relationships within the cash flow process reveals that the ability to answer questions similar to the ones posed above does not exist. The research accomplished to date can be characterized as being definitional and hypothetical; cash flows have been defined, lists of factors that may influence cash flow patterns have been postulated, and simple examples of what may happen to cash flow patterns have been constructed. Although these preliminary steps are necessary, they are not sufficient for a thorough understanding of the cash flow process. Analysis must be undertaken to establish the cash flow consequences of various combinations of environmental and organizational factors.

A normative theory of capital budgeting requires determination of the correct cost of capital for the evaluation and selection of risky investment projects. Since different uses of funds within the firm may involve different degrees of uncertainty, the normative theory should take into account the effects of changes in the composition of the firm's portfolio of productive assets on its market valuation. The normative theory must therefore be based on a positive theory of market valuation. The objective of this paper is to develop and test an empirical specification of the positive theory.