This paper studies an integrated model of production and savings under uncertainty in which production inputs and the amount of savings are jointly chosen. The analysis shows that if the agent’s risk preferences exhibit constant absolute risk aversion, then all results from nonintegrated or separate models of savings and production extend to the integrated framework. Under decreasing absolute risk aversion, the comparative static properties of optimal production decisions with respect to mean preserving spread and spread preserving mean parameters extend from the non-integrated to the integrated framework. However, extension of the savings model results for the same parameters requires a restriction on production technology.
“Production and Savings Under Uncertainty,” A. Saha, R. Innes, R. Pope, International Review of Economics and Finance, 2 (1994), 365–375