This short paper resolves an apparent contradiction between Feldman's (1989) and Riedel's (2000) equilibrium models of the term structure of interest rates under incomplete information. Feldman (1989) showed that in an incomplete information version of Cox, Ingersoll, and Ross (1985), where the stochastic productivity factors are unobservable, equilibrium term structures are ‘interior’ and bounded. Interestingly, Riedel (2000) showed that an incomplete information version of Lucas (1978), with an unobservable constant growth rate, induces a ‘corner’ unbounded equilibrium term structure: it decreases to negative infinity. This paper defines constant and stochastic asymptotic moments, clarifies the apparent conflict between Feldman's and Riedel's equilibria, and discusses implications. Because productivity and growth rates are not directly observable in the real world, the question we answer is of particular relevance. JEL Classification codes: E43, G12, D92, D80, D51.

This paper examines a multiperiod production economy where investors do not observe the realizations of productivity factors or security expected returns. Unlike previous work, which expresses the equilibrium conditions as functions of unobservable (to both real-world investors and empiricists) moments of the distributions of returns, we express the equilibrium real rate as a function of the observable sample paths of realizations of returns. We provide a framework for empirically testing this and other asset pricing models without outside-the-model econometric assumptions needed for producing the unobservable moments of returns. We construct versions of the restrictions for any time interval between observations. JEL classification codes: E43, G12, D92, D80, D51.

This paper examines a multiperiod production economy where investors do not observe the realizations of productivity factors or security expected returns. Unlike previous work, which expresses the equilibrium conditions as functions of unobservable (to both real-world investorsand empiricists) moments of the distributions of returns, we express the equilibrium real rate asa function of the observable sample paths of realizations of returns. We provide a framework for empirically testing this and other asset pricing models without outside-the-model econometric assumptions needed for producing the unobservable moments of returns. We construct versions of the restrictions for any time interval between observations. JEL codes: E43, G12, D92, D80, D51

This paper examines a dynamic production economy with incomplete information and shows that the set of myopic preferences, those that induce myopic decisions, depends on the representation of the information flow. For example, logarithmic preferences are nonmyopic when some of the economic state variables are unobservable. The analysis offers a broader definition of myopic behavior, termed “generalized myopia, ” which is independent of the representation of the information flow. Allowing for any smooth concave utility function, logarithmic preferences endogenously emerge as necessary for generalized myopia in incomplete information economies; and when combined with restrictions on the information structure, they become sufficient.

ABSTRACT This paper investigates the term structure of interest rates in a multiperiod production and exchange economy with incomplete information. Unable to observe their stochastic investment opportunities, investors engage in dynamic Bayesian inference. This results in the endogenous identification of a more complex production function which generates a richer term structure, resembling the one that actual market prices imply. In addition, this paper introduces a characteristic function of the term structure and demonstrates that, in contrast with a fully observable economy, the widely investigated expectations hypothesis holds true only if interest rates are nonstochastic.

This paper investigates the term structure of interest rates in a multiperiod production and exchange economy with incomplete information. Unable to observe their stochastic investment opportunities, investors engage in dynamic Bayesian inference. This results in the endogenous identification of a more complex production function which generates a richer term structure, resembling the one that actual market prices imply. In addition, this paper introduces a characteristic function of the term structure and demonstrates that, in contrast with a fully observable economy, the widely investigated expectations hypothesis holds true only if interest rates are nonstochastic.

David Feldman, Optimal Portfolio Choice Under Incomplete Information: Discussion, The Journal of Finance, Vol. 41, No. 3, Papers and Proceedings of the Forty-Fourth Annual Meeting of the America Finance Association, New York, New York, December 28-30, 1985 (Jul., 1986), pp. 747-749

ABSTRACT This paper analyzes the market for financial assets in a production and exchange economy with several realized outputs and a single unobservable source of nondiversifiable risk. The paper demonstrates that, for a large class of diffusion outputs and preferences, optimizing consumers first estimate the realizations of the unobservable factor and then use these estimates to determine portfolio and consumption rules. Moreover, the explicit consideration of this unobservable productivity factor affects equilibrium demands and prices. The equilibrium spot rate of interest emerges as the “best estimate” of the unobservable factor, and multiperiod default‐free bonds arise as the optimal hedge for the unobservable changes of the stochastic investment opportunity set.

This paper analyzes the market for financial assets in a production and exchange economy with several realized outputs and a single unobservable source of nondiversifiable risk. The paper demonstrates that, for a large class of diffusion outputs and preferences, optimizing consumers first estimate the realizations of the unobservable factor and then use these estimates to determine portfolio and consumption rules. Moreover, the explicit consideration of this unobservable productivity factor affects equilibrium demands and prices. The equilibrium spot rate of interest emerges as the “best estimate” of the unobservable factor, and multiperiod default-free bonds arise as the optimal hedge for the unobservable changes of the stochastic investment opportunity set.