Scandinavian Working Papers in Economics

Discussion Papers,
Norwegian School of Economics, Department of Business and Management Science

No 2015/15: The equity premium in a production economy; A new perspective involving recursive utility

Knut K. Aase ()
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Knut K. Aase: Dept. of Business and Management Science, Norwegian School of Economics, Postal: NHH , Department of Business and Management Science, Helleveien 30, N-5045 Bergen, Norway

Abstract: We study a rational expectations' competitive equilibrium in a production economy, i.e., a system of prices at which firms' profit maximizing production decisions and individuals' preferred affordable consumption choices equate supply and demand in every market. We derive the equilibrium price of the firm and the equilibrium short term interest rate, the optimal per capita consumption in society, as well as the risk premium on equity. First a simple linear production technology with constant coefficients is studied, then a more general technology, and finally a general production economy with recursive utility is analyzed by the use of the stochastic maximum principle. While the two first models can not explain the empirics well using conventional preferences, the latter model is found to be much more promising in this regard. Wa also demonstrate a simple proof for the ICAPM.

Keywords: Equity risk premium; production economy; recursive utility; CAPM; CCAPM; ICAPM

JEL-codes: D51; D53; D90; E21; G10; G12

47 pages, April 10, 2015

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