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Production theory under uncertain inflation

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Summary and Conclusions

This paper examines Chen's [1980] model of asset valuation under uncertain inflation in order to derive a static and comparative static theory of production by a competitive firm. Given the value maximizing and the price taking assumptions, the firm behaves as a profit-maximizer. The sole effect of uncertain inflation is to distort the price structure. that is, the firm adjusts the expected price of an input or output to reflect the systematic risk of that price. Because a change in circumstances can affect the systematic risk of a given price, assessing the effects of a specific policy or event solely in terms of its effect on expected price can be misleading.

Parametric variations affect the structure of certainty equivalent prices. Therefore, the comparative static derivatives of the value maximizing firm emerge as extensions of the comparative static derivatives of the profit maximizing firm under certainty. Many of these comparative static derivatives are of determinant sign. The effects of changes in market uncertainty and in inflation uncertainty, while they can be characterized mathematically, cannot be signed in the general case. Cross-sectional studies indicate wide variation in the effects of inflation, so that the preceding theoretical results appear plausible.

Finally, in view of the wealth of static and comparative static results which can be derived from Chen's model, that model provides a convenient benchmark against which to judge other models. Precisely because of its simple nature, Chen's model is ideal for establishing limits of analysis.

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Haber, L.J. Production theory under uncertain inflation. Atlantic Economic Journal 14, 24–33 (1986). https://doi.org/10.1007/BF02304621

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