Many corporate assets, particularly growth opportunities, can be viewed as call options. The value of such ‘real options’ depends on discretionary future investment by the firm. Issuing risky debt reduces the present market value of a firm holding real options by inducing a suboptimal investment strategy or by forcing the firm and its creditors to bear the costs of avoiding the suboptimal strategy. The paper predicts that corporate borrowing is inversely related to the proportion of market value accounted for by real options. It also rationalizes other aspects of corporate borrowing behavior, for example the practice of matching maturities of assets and debt liabilities.

A general formula is derived for the price of a security whose value under specified conditions is a known function of the value of another security. Although the formula can be derived using the arbitrage technique of Black and Scholes, the alternative approach of continuous-time portfolio strategies is used instead. This alternative derivation allows the resolution of some controversies surrounding the Black and Scholes methodology. Specifically, it is demonstrated that the derived pricing formula must be continuous with continuous first derivatives, and that there is not a ‘pre-selection bias’ in the choice of independent variables used in the formula. Finally, the alternative derivation provides a direct proof of the Modigliani-Miller theorem even when there is a positive probability of bankruptcy.

Introduction, 165.—Taussig's theory of fertility, 166.—Differentials in fertility, 169.—Summary, 170.

Journal Article Strategy in Point Voting: Comment Get access Dennis C. Mueller Dennis C. Mueller International Institute of Management, Berlin Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Economics, Volume 91, Issue 3, August 1977, Page 509, https://doi.org/10.2307/1885982 Published: 01 August 1977

This paper reports the testing of hypotheses concerning: (i) whether the household is better viewed as planning over a single-period versus a multiperiod horizon; (ii) whether the household is better viewed as planning in a single-asset or a multiasset framework; (iii) the relative importance of substitution and wealth effects as sources of change in the stock demand for automobiles. The findings are that a multiperiod, multiasset model best describes stock demand, that the separation theorem which implies a zero wealth effect is rejected, and that substitution effects are seven times more important than wealth effects. THE ECONOMIC LITERATURE CONTAINS several empirical studies of household automobile demand [3, 7, 8, and 10] and theoretical models of the household [1, 4, 5, 6, and 14] which are or could be applied to automobile demand. Two aspects of theory which are not fully reflected in the empirical studies are the implications of a multiperiod horizon and the possibility of substitution among assets. Theoretical models [5 and 15] which assume a multiperiod horizon imply that relevant asset prices are user costs and the appropriate constraint is wealth. In contrast, most empirical studies use purchase prices rather than user costs, and income rather than wealth. In addition, theoretical models [4 and 5] permit substitution over a variety of goods, whereas most empirical studies restrict substitutions to automobiles and consumption goods. To the extent that estimated equations are misspecified, the prevailing conclusion that income effects are more important than substitution effects may be due to left-out-variable bias. This paper investigates each of these three issues-the length of the horizon, the range of substitutions, and the relative importance of substitution and wealth effects-by estimating over the same set of data a variety of alternative equations which reflect different assumptions about the horizon and range of substitutions. Initially, a multiperiod, multiasset model of the household consumption-saving decision is stated and used to derive the appropriate arguments for the broadest estimating equation. A linear approximation of this equation is estimated using quarterly United States data covering the years 1952-1972. Then this estimate is compared to competing equations derived under restrictions on the multiperiod, multiasset model. Specifically, demand equations derived under multiperiod, single-asset, single-period, single-asset, and single-period, multiasset assumptions are estimated and compared to the broadest multiperiod, multiasset equation. In addition, versions of the restricted equations which have appeared in the literature are estimated and compared. The findings are: (i) a multiperiod, multiasset equation best describes automobile stock demand, (ii) estimates of substitution and wealth effects are quite sensitive to specification bias, and (iii) substitution effects are seven times more important than wealth effects in the dominant equation.

In analyzing the city as an economic institution, it seems reasonable to ask if the advantages of proximity are sufficient to assure that traders will form and maintain a market place. This process is called agglomeration. A general theorem concerning iterative spatial games is developed first. A spatial general equilibrium model comprised of a sequence of pure trade economies is proffered. Restrictions on transport technologies sufficient to assure agglomeration are determined. The possibility of a policy maker speeding the process of agglomeration is demonstrated. In conclusion, the optimality properties of the model are discussed. The research draws heavily on the works of A. Weber [8] and G. Debreu [2]. The model includes a dynamic adjustment process which is developed from individuals' maximizing behavior.