Optimal investment and production decisions and the value of the firm

We explore the effects of uncertainty on a firm that can respond by modifying its investment or production schedule (or both simultaneously) to variations in output price. Investment may increase capacity and/or reduce costs. We consider a firm with finite resources.Our model uses option theory instead of the more traditional net present value framework. One of the early papers using this approach is Brennan and Schwartz (1985) in which an investment project to extract a finite natural resource is valued. In that paper, the value of the firm is a function of two state variables, the finite resource to be extracted (output to be produced in the future) and the commodity spot price. In order to maximize firm value, the manager can respond by modifying one control variable, the production level. In our model we handle instead three state variables (spot price, resources, accumulated investment) and two control variables (production rate and investment rate), and solve numerically.We obtain both the value and the optimal policy of a firm that has investment projects that increase capacity and/or reduce costs and illustrate optimal policies as resources and available investments decrease over the life of the firm. Firms may start by only investing, then invest and produce, to end only producing.We thank Scott Wo, the referee and the editor for their comments and suggestions. Cortázar and Lowener acknowledge the financial support from FONDECYT and FONDER.     

Selecting Social Goals: J. M. Keynes and the Emergence of Ontological Rationality in Economics

In this paper we discuss the fundamental inconsistency that results from employing the two traditional concepts of rationality as the basis of selecting social goals. We then consider the possibility that the selection of social goals must be based on explicitly ethical criteria. To do so a third concept of rationality namely, ontological rationality, should be adopted. Moreover, we argue that J. M. Keynes in A Tract Monetary Reform based his public policy recommendations on a modified version of ontological rationality, thereby introducing ontological rationality into economics as the basis for selecting social goals.A previous version of this paper was presented at the Fifty-Eighth International Atlantic Economic Conference, October 7–10, 2004. The authors are grateful to session participants for their helpful suggestions, though the authors alone are responsible for the contents of the paper.     

Keynes' theory of money and his attack on the classical model

This paper centers on Keynes' theory of money and his attack on the classical model. Keynes criticized the self-correcting model of the British orthodoxy along two separate lines. In the first, in which Keynes' theory of money was crucial, he took the institutional variables as given and examined the functional relationships. Keynes' burden was to undermine what he termed the "classical dichotomy," where money was a veil, playing no role in determining output and employment. Two key features of the orthodox model were loanable funds and quantity theories, and Keynes' theory of money emerged from the rejection of these theories. The key to his attack on the classical dichotomy was the speculative demand for money, which he presented as an indirect, unstable function of the interest rate. Hence, Keynes linked money demand to the interest rate. The interest rate was thus determined by monetary variables rather than real factors, contrary to British orthodox opinion. Keynes then demonstrated that intended investment and saving need not be equal at a full employment equilibrium.A previous version of this paper was presented at the Fiftieth International Atlantic Economic Conference, October 15–18, 2000, Charleston, South Carolina. The authors are grateful to participants for their helpful suggestions. The authors are responsible for any remaining errors.     

Valuing the implicit guarantee of the Federal National Mortgage Association

The paper analyzes the guarantee of the Federal National Mortgage Association (FNMA). Rather than try to price the guarantee, we used time-series estimates of its value from Kane and Foster to infer the behavior of FNMA in exploiting the guarantee. The results are consistent with a model that predicts that FNMA does not take as much risk as it might. Rather, it trades off risk and return, but it does increase risk and exploit the guarantee when it gets in trouble (as it did in 1981).We have received helpful research assistance from Peter Carr and Bruno Gerard.     

Homeownership as a Constraint on Asset Allocation

Personal preferences and financial incentives make homeownership desirable for most families. Once a family purchases a home they find it impractical (costly) to frequently change their ownership of residential real estate. Thus, by deciding how much home to buy, a family constrains their ability to adjust their asset allocation between residential real estate and other assets. To analyze the impact of this constraint on consumption, welfare, and post-retirement wealth, we first investigate an individual’s optimal asset allocation decisions when they are subject to a “homeownership constraint.” Next, we perform a “thought experiment” where we assume the existence of a market where a homeowner can sell, without cost, a fractional interest in their home. Now the housing choice decision does not constrain the individual’s asset allocations. By comparing these two cases, we estimate the differences in post-retirement wealth and the welfare gains potentially realizable if asset allocations were not subject to a homeownership constraint. For realistic parameter values, we find that the homeowner would require a substantial increase in total net worth to achieve the same level of utility as would be achievable if the choice of a home could be separated from the asset allocation decision. The robustness of the analysis is evaluated with respect to the model’s parameters and initial state variables. We find that changes in the values of the constraint (i.e., the value of the home) and the expected real rate of home value appreciation are the only state variables or parameter that is associated with a large change in asset allocation and/or the burden imposed by the housing constraint. This finding suggests the importance of a detailed examination of the impact of inter-regional differences in home prices and expected rates of appreciation on asset allocation and post-retirement wealth.