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Panel Data and Unobservable Individual Effects

Econometrica 1981 49(6), 1377
Abstract An important purpose in pooling time-series and cross-section data is to control for individual-specific unobservable effects which may be correlated with other explanatory variables, e.g. latent ability in measuring returns to schooling in earnings equations or managerial ability in measuring returns to scale in firm cost functions. Using instrumental variables and the time-invariant characteristics of the latent variable, we derive: 1. (1) a test for the presence of this effect and for the over-identifying restriction we use; 2. (2) necessary and sufficient conditions for identification of all the parameters in the model; and 3. (3) the asymptotically efficient instrumental variables estimator and conditions under which it differs from the within-groups estimator. We calculate efficient estimates of a wage equation from the Michigan income dynamics data which indicate substantial differences from within-groups and Balestra-Nerlove estimates — particularly a significantly higher estimate of the returns to schooling.

Applied Welfare Economics with Discrete Choice Models

Econometrica 1981 49(1), 105
Economists have been paying increasing attention to the study of situations in which csumers face a discrete rather than a continous set of choices.Such models are potentially very important in evaluating the impact of government programs upon consi.mterwelfare.But very little has been said in general regarding the tools of applied welfare economics in discrete choice situations.This paper shows how the conventional methods of applied welfare economics can be modified to handle such cases.It focuses on the cornputation of the excess burden of taxation, and the evaluation of gua].itychange.The results are applied to stochastic utility models, including the popular cases of prohit and logit analysis.Throughout, the ernp)-asis is on providing rigorous guidelines for carrying out applied work.

Demographic Variables in Demand Analysis

Econometrica 1981 49(6), 1533
In this paper [the authors discuss] five procedures for incorporating demographic variables into theoretically plausible demand systems: translating scaling and the Gorman reverse Gorman and implicit Prais-Houthakker procedures.... These five procedures are used to incorporate a single demographic variable--the number of children in a household--into the generalized CES demand system using household budget data for the United Kingdom for the period 1966-1972 (EXCERPT)

Variable Rate Debt Instruments and Corporate Debt Policy

Journal of Finance 1981 36(1), 113
Sustained high rate of inflation has led to the creation of debt instruments with variable interest rate. The availability of these debt instruments presents management with the problem of the choice of the optimal debt portfolio. This paper deals with this problem assuming a given, and optimal, debt to equity ratio. Given expected monetary value maximization, an efficient frontier is derived in terms of the expected net income and probability of bankruptcy, where net income is defined as operating income minus debt repayment. This efficient frontier is shown to be also mean-variance efficient. It is also shown that in most cases the optimal debt portfolio includes more than one debt instrument. In other words, the firm will avoid the policy of minimizing the expected cost of its debt repayments or the policy of minimizing the costs of bankruptcy. The optimal solution itself is affected by market variables like the relative expected cost of different debt instruments and by firm specific variables like the variability of its operating income stream, and the covariance between the operating income and the debt repayments.

Variable Rate Debt Instruments and Corporate Debt Policy

Journal of Finance 1981 36(1), 113-125
ABSTRACT Sustained high rate of inflation has led to the creation of debt instruments with variable interest rate. The availability of these debt instruments presents management with the problem of the choice of the optimal debt portfolio. This paper deals with this problem assuming a given, and optimal, debt to equity ratio. Given expected monetary value maximization, an efficient frontier is derived in terms of the expected net income and probability of bankruptcy, where net income is defined as operating income minus debt repayment. This efficient frontier is shown to be also mean‐variance efficient. It is also shown that in most cases the optimal debt portfolio includes more than one debt instrument. In other words, the firm will avoid the policy of minimizing the expected cost of its debt repayments or the policy of minimizing the costs of bankruptcy. The optimal solution itself is affected by market variables like the relative expected cost of different debt instruments and by firm specific variables like the variability of its operating income stream, and the covariance between the operating income and the debt repayments.

The Duality of a Dynamic Model of Equilibrium and an Optimal Growth Model: The Heterogeneous Capital Goods Case

Quarterly Journal of Economics 1981 96(2), 271
The equivalence between optimal growth solutions and solutions of decentralized models of intertemporal allocation is explored in a one-consumer, heterogeneous capital goods framework. The decentralized economy follows a perfect foresight path. The main result is that the decentralized economy will impose on itself a transversality condition. This yields the interpretation of equilibrium prices as prices consistent with a certainty version of the efficient markets hypothesis. The results rest on the recent contribution by Benveniste and Scheinkman providing sufficient conditions for infinite horizon concave programs to exhibit capital value transversality as a necessary condition for optimality.