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Long-run Investment under Uncertain Demand

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  • Di Corato, Luca
  • Moretto, Michele
  • Vergalli, Sergio

Abstract

In 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.

Suggested Citation

  • Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2013. "Long-run Investment under Uncertain Demand," Economy and Society 156574, Fondazione Eni Enrico Mattei (FEEM).
    • Handle: RePEc:ags:feemso:156574
    DOI: 10.22004/ag.econ.156574
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    1. Michele Moretto & Paolo M. Panteghini & Carlo Scarpa, 2008. "Profit sharing and investment by regulated utilities: A welfare analysis," Review of Financial Economics, John Wiley & Sons, vol. 17(4), pages 315-337, December.
    2. Dixit, Avinash, 1995. "Irreversible investment with uncertainty and scale economies," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 327-350.
    3. Dangl, Thomas, 1999. "Investment and capacity choice under uncertain demand," European Journal of Operational Research, Elsevier, vol. 117(3), pages 415-428, September.
    4. 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.
    5. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    6. 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.
    7. Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2014. "Long-run investment under uncertain demand," Economic Modelling, Elsevier, vol. 41(C), pages 80-89.
    8. 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.
    9. Kerry Back & Dirk Paulsen, 2009. "Open-Loop Equilibria and Perfect Competition in Option Exercise Games," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4531-4552, November.
    10. Pindyck, Robert S, 1988. "Irreversible Investment, Capacity Choice, and the Value of the Firm," American Economic Review, American Economic Association, vol. 78(5), pages 969-985, December.
    11. Samuel Bentolila & Giuseppe Bertola, 1990. "Firing Costs and Labour Demand: How Bad is Eurosclerosis?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(3), pages 381-402.
    12. Caballero, Ricardo J, 1991. "On the Sign of the Investment-Uncertainty Relationship," American Economic Review, American Economic Association, vol. 81(1), pages 279-288, March.
    13. Dixit, Avinash, 1991. "A simplified treatment of the theory of optimal regulation of Brownian motion," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 657-673, October.
    14. Guo, Xin & Pham, Huyên, 2005. "Optimal partially reversible investment with entry decision and general production function," Stochastic Processes and their Applications, Elsevier, vol. 115(5), pages 705-736, May.
    15. Ron Giammarino & Murray Carlson & Adlai Fisher, 2004. "Corporate Investment and Asset Price Dynamics: Implications for Post-SEO Performance," 2004 Meeting Papers 812, Society for Economic Dynamics.
    16. Bertola, Giuseppe, 1998. "Irreversible investment," Research in Economics, Elsevier, vol. 52(1), pages 3-37, March.
    17. 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.
    18. Hartman, Richard & Hendrickson, Michael, 2002. "Optimal partially reversible investment," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 483-508, March.
    19. Baldursson, Fridrik M., 1998. "Irreversible investment under uncertainty in oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 627-644, April.
    20. Felipe L. Aguerrevere, 2009. "Real Options, Product Market Competition, and Asset Returns," Journal of Finance, American Finance Association, vol. 64(2), pages 957-983, April.
    21. Guiseppe Bertola & Ricardo J. Caballero, 1994. "Irreversibility and Aggregate Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 61(2), pages 223-246.
    22. Steven R. Grenadier, 2002. "Option Exercise Games: An Application to the Equilibrium Investment Strategies of Firms," The Review of Financial Studies, Society for Financial Studies, vol. 15(3), pages 691-721.
    23. Murray Carlson & Adlai Fisher & Ron Giammarino, 2004. "Corporate Investment and Asset Price Dynamics: Implications for the Cross-section of Returns," Journal of Finance, American Finance Association, vol. 59(6), pages 2577-2603, December.
    24. Leland, Hayne E, 1972. "Theory of the Firm Facing Uncertain Demand," American Economic Review, American Economic Association, vol. 62(3), pages 278-291, June.
    25. Richard Hartman & Michael Hendrickson, "undated". "Optimal Partially Reversible Investment," Working Papers UWEC-2002-05, University of Washington, Department of Economics.
    26. Ilan Cooper, 2006. "Asset Pricing Implications of Nonconvex Adjustment Costs and Irreversibility of Investment," Journal of Finance, American Finance Association, vol. 61(1), pages 139-170, February.
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    Cited by:

    1. Oulton, Nicholas & Wallis, Gavin, 2016. "Capital stocks and capital services: Integrated and consistent estimates for the United Kingdom, 1950–2013," Economic Modelling, Elsevier, vol. 54(C), pages 117-125.
    2. Di Corato, Luca & Moretto, Michele & Vergalli, Sergio, 2014. "Long-run investment under uncertain demand," Economic Modelling, Elsevier, vol. 41(C), pages 80-89.
    3. Alin OPREANA, 2014. "Investment Modelling at the Euro Area Level," Expert Journal of Finance, Sprint Investify, vol. 2(1), pages 26-30.
    4. Sarkar, Sudipto, 2015. "Price limits and corporate investment: The consumers' perspective," Economic Modelling, Elsevier, vol. 50(C), pages 168-178.
    5. Alin OPREANA, 2015. "A New Perspective of Investment Modelling at the European Union Level," Expert Journal of Economics, Sprint Investify, vol. 3(2), pages 143-148.

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    More about this item

    Keywords

    Risk and Uncertainty;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D92 - Microeconomics - - Micro-Based Behavioral Economics - - - Intertemporal Firm Choice, Investment, Capacity, and Financing
    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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