Long-run Investment under Uncertain Demand
AbstractIn the literature investigating the impact of uncertainty on short-run and long-run investment, most authors have used a log linear profit function. This functional form has been generally considered a reasonable approximation for more general ones and has the advantage of providing closed form solutions for both short-run investment rule and long-run rate of capital accumulation. In this paper, we consider a firm facing a linear demand function with additive shocks and present a technique for the analytical approximation of the long-run average rate of capital accumulation for the case of an inverted U-shape profit function. We then compare the long-run rates of capital accumulation calculated under both assumptions within a plausible range of parameter values. We notice significant differences and conclude that the choice of a log linear functional form has a non-trivial impact on the magnitude of the long run rate of capital accumulation.
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Bibliographic InfoPaper provided by Fondazione Eni Enrico Mattei in its series Working Papers with number 2013.65.
Date of creation: Jun 2013
Date of revision:
Investment; Demand Uncertainty; Irreversibility;
Find related papers by JEL classification:
- C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
- D92 - Microeconomics - - Intertemporal Choice and Growth - - - Intertemporal Firm Choice and Growth, Financing, Investment, and Capacity
- E22 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Capital; Investment; Capacity
This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-07-28 (All new papers)
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- Cox, John C. & Ross, Stephen A., 1976. "The valuation of options for alternative stochastic processes," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 145-166.
- Caballero, Ricardo J, 1991. "On the Sign of the Investment-Uncertainty Relationship," American Economic Review, American Economic Association, vol. 81(1), pages 279-88, March.
- Dangl, Thomas, 1999. "Investment and capacity choice under uncertain demand," European Journal of Operational Research, Elsevier, vol. 117(3), pages 415-428, September.
- Sudipto Sarkar, 2009. "A real-option rationale for investing in excess capacity," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 30(2), pages 119-133.
- Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
- Avinash Dixit, 1992.
"Irreversible Investment with Uncertainty and Scale Economies,"
STICERD - Theoretical Economics Paper Series
240, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
- Dixit, Avinash, 1995. "Irreversible investment with uncertainty and scale economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 327-350.
- Harrison, J. Michael & Kreps, David M., 1979. "Martingales and arbitrage in multiperiod securities markets," Journal of Economic Theory, Elsevier, vol. 20(3), pages 381-408, June.
- Bentolila, Samuel & Bertola, Giuseppe, 1990. "Firing Costs and Labour Demand: How Bad Is Eurosclerosis?," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 381-402, July.
- Abel, Andrew B. & Eberly, Janice C., 1997. "An exact solution for the investment and value of a firm facing uncertainty, adjustment costs, and irreversibility," Journal of Economic Dynamics and Control, Elsevier, vol. 21(4-5), pages 831-852, May.
- Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
- Bertola, Guiseppe & Caballero, Ricardo J, 1994.
"Irreversibility and Aggregate Investment,"
Review of Economic Studies,
Wiley Blackwell, vol. 61(2), pages 223-46, April.
- Bertola, Giuseppe, 1998. "Irreversible investment," Research in Economics, Elsevier, vol. 52(1), pages 3-37, March.
- Hartman, Richard & Hendrickson, Michael, 2002. "Optimal partially reversible investment," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 483-508, March.
- Baldursson, Fridrik M., 1998. "Irreversible investment under uncertainty in oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 627-644, April.
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