“All books are dead in twenty-five years,” Mr. Justice Holmes wrote to Sir Frederick Pollock. An example of Holmes’ mastery of the art of over-statement, the dictum has its notable exceptions, as even a relatively young discipline such as economic and business history reveals. Professors Scheiber and Salsbury make the case for the permanent impact of one such exception. At the Editor's discretion, communications like the following may be published in the future about other milestones.

An important maintained hypothesis in financial economics states that the average interest rate on a firm's debt is positively related to its leverage. This hypothesis has a long history going back at least to the work of Kalecki [4] where it was used to derive a determinate size for the competitive firm when the production function is homogeneous of degree one. The upward sloping interest rate-leverage relationship has also played an important role in the theory of finance. In this connection, it is somewhat interesting to find both Modigliani-Miller [5] and their many critics in complete agreement on the nature of this relationship. In particular, their statement on this subject conveys the impression that this relationship is governed by an unalterable law when they write: “Economic theory and market experience both suggest that the yields demanded by lenders tend to increase with the debt-equity ratio of the borrowing firm” [5, p. 273].

Consider a productive investment project (or financial security), which would yield a stream of cash flows, positive and negative, over time. A major index of the acceptability of such a project is its internal rate of return, i.e., that rate of interest which discounts all the cash flows from the project to a present worth of zero. Soper [8] has developed a sufficient condition for the internal rate to be unique in the interval, (−1,∞), along the real line. Then, if the project requires an initial outlay, if Soper's condition holds, and if the unique internal rate exceeds the market rate of interest in each period of the project's life, the project's present worth is positive, and hence, other things being equal, it is worth undertaking.

A set of theorems was derived based on the following set of axioms: (1) financial management seeks to maximize the wealth of existing shareholders; (2) all projects being considered at period 0 are of one period duration and possess the attribute that their adoption or rejection by the firm will not affect the business risk of the firm's asset portfolio; and (3) the ratio of debt to total book capital is given as α, and r and k reflect the firm's business and financial risk however perceived by investors.

It was shown that the NPV of any project satisfying the above conditions could be evaluated for accept-reject purposes with a CC involving book weights. This CC yielded an NPV numerically equal to the NPV using market value weights under special circumstances, namely, when k = r (1 − λ) or when M0/V0 = 1 − α, a special case of which is M0 = (1 −α)c0, i.e., if the firm were at its investment margin. After determining the book value CC, which is denoted as β, it was shown that it can be applied repeatedly for testing period 0 projects satisfying our axioms, even if these projects are unknown to management at the outset of the period. A market value CC, denoted as γ, was derived which gives identical accept-reject signals as the procedure.

This paper is an analytic treatment of the abandonment decision in capital investment analysis. It provides a methodology which has application in obtaining better estimates for project value and risk.

The academic research has produced a series of contributions on optimal portfolio strategies (Bradley and Crane [1], Crane [4], Cheng [3], Fisher and Weil [5], Watson [9], Wolf [10]). Several of these studies--Bradley and Crane, Watson, and Wolf--conclude that an optimal strategy for bank portfolios would be a “dumbbell” strategy. Such a dumbbell strategy invests only in the shortest and longest maturities, ignoring the intermediate maturities. The logic is straightforward: liquidity risk is lowest in the shortest maturities and yield is generally highest in the longest maturities. The risk/return superiority of such a strategy was empirically verified by Watson, with subsequent confirmation by the Bradley and Crane tests via a stochastic dynamic programming formulation.

A stock purchase warrant gives the owner the option to buy some predetermined number of shares of the associated common stock at a specified price over a stipulated time period. The specified price is called the exercise price of the warrant. The stipulated time period is quite variable, though the life of a typical warrant will exceed five years.

In our theoretical work on DSD ([17], [18], [19]), specially constructed examples were used to demonstrate that DSD is stronger than TSD. The results of the present paper imply that similar examples also arise naturally from realworld data. They also suggest that such examples are rare. In the specific cases studied here, the differences between these two stochastic orderings are real, but small, and TSD would likely be a suitable approximation to DSD for practical purposes. The differences between the resulting efficient subsets seem relatively less important as the size of the initial portfolio universe increases. For example, the percentage reduction in the efficient TSD subset for a 1000-portfolio problem is smaller than for a typical 100-portfolio problem. This was found to be true throughout the preliminary phases of the study, as well as in the final phase reported here. The (to us) disappointing performance of DSD resulted primarily from the left-tail problem, which became increasingly prevalent as the initial portfolio set expanded. This suggests that DSD would be most useful in problems of choice among relatively few alternatives, perhaps of the capital budgeting type. In addition, there are numerous nonfinancial problems in which DSD could prove to be useful in ranking alternative management policies. Finally, the greater strength of DSD may remain important in theoretical investigations, especially for situations in which the left-tail problem is absent.