Knowledge that Transforms

This paper describes ways in which computers can be used to help teach elementary college economics. Most of the methods can be implemented with present-day equipment; the rest will prove feasible within a few years. Examples given here are not intended to provide a full or even a representative menu for a beginning course; they simply illustrate some of the more interesting possibilities.

A question that bedevils the academic economist, the trustbuster, and the community at large is whether conglomerate merger activity is a force for good or evil. In common with horizontal and vertical merger activity, the critical consideration is whether conglomerate mergers produce better uses of resources, increases in monopoly power, or some mixture of these two results. Economists have been examining these mergers in an effort to determine whether efficiency in the use of resources is, in fact, promoted. However, when investigating this question, the subject of inquiry is usually confined to the optimizing decision of the firm. It has been argued that conglomerate activity involves the best use of resources from the standpoint of the firm.

Suresh P. Sethi, Gerald L. Thompson, Applications of Mathematical Control Theory to Finance: Modeling Simple Dynamic Cash Balance Problems, The Journal of Financial and Quantitative Analysis, Vol. 5, No. 4/5 (Dec., 1970), pp. 381-394

In recent years, large commercial banks in the United States have turned to so-called “liability management” as a way to acquire additional funds. The use of Certificates of Deposit (CD's), Eurodollar balances, debentures, and recently the issuing of commercial paper through their holding companies represent an extension of the more traditional secondary reserve asset management approach to bank liquidity and reserve adjustment.

It is often necessary to estimate a frequency function or certain points on a frequency function from very limited data. A usual procedure for this estimation involves two steps. From the set of “well-known” frequency functions, e.g., the normal, poisson, binomial, etc., one chooses that function which seems likely to best “fit” and then uses the available data to estimate the parameters of the chosen distribution. If no one “well-known” function can be chosen a priori, then perhaps several likely candidates are tried and the one which fits best according to some criterion is chosen. For many purposes, this procedure is quite unobjectionable.

The relationship between return on assets and their riskiness is one of the liveliest topics in financial literature. In his 1952 landmark article, Markowitz developed a mathematical model that captured this key financial concept. defined risk as the variance of the rate of return of a portfolio. Later, Sharpe hypothesized a positive linear relationship between expected rate of return on an asset and the risk premium associated with that asset. Subsequently, Sharpe tested this hypothesis empirically and found support for his theory. Although portfolio theory specifies the two parameters of this model as ex ante return and risk, Sharpe used ex post data for testing the risk-return relationship. designated the ex post mean rate of return obtained on an an asset as a proxy for expected return and the standard deviation of ex post annual rates of return as a surrogate for risk.

Recently, several researchers, including Evans, Archer [1], Latané, and Young [2], have performed empirical analyses of the relationship between the number of securities in a portfolio and the reduction in portfolio dispersion. In this note, an exact mathematical relationship between these two factors is presented.

In a recent article, Professors Robichek and Van Horne have noted the importance of considering abandonment in the capital budgeting process. The basic point of their paper is that:… a project should be abandoned at that point in time when its abandonment value exceeds the net-present value of the subsequent expected future cash flows discounted at the cost-of-capital rate.

Researchers and political analysts concerned with the inter-regional flow of mortgage funds have often pointed to the existence of yield differentials as prima facie evidence of misallocation of capital and national resources. Limited information and myopic lending horizons, with market imperfections reinforced by state laws and institutional segmentation, have been postulated. They are regarded as responsible for costly “frictions” in the export of capitalto the fast-growing, generally low-income, states, particularly those of the South. Both federal and state legislative action, intensified private arbitrage, and better secondary market facilities and instruments are then urged to improve inter-regional financial mediation to reduce or eliminate the yield differentials.

In two previous articles [11] and [12] a family of normative models of the individual's economic decision problem under risk was presented. At the same time, certain implications of these models with respect to individual behavior were deduced for a class of utility functions. This paper will show that these models also give rise to an induced theory of the formation and operation of firms under risk for the same class of utility functions.