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An Exact Solution for the Investment and Market Value of a Firm Facing Uncertainty, Adjustment Costs, and Irreversibility

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  • Andrew B. Abel
  • Janice C. Eberly

Abstract

This paper derives closed-form solutions for the investment and market value, under uncertainty, of competitive firms with constant returns to scale production and convex costs of adjustment. Solutions are derived for the case of irreversible investment as well as for reversible investment. Optimal investment is a non-decreasing function of q, the shadow value of capital. The conditions of optimality imply that q cannot contain a bubble; thus, optimal investment depends only on fundamentals. However, the value of the firm may contain a bubble that does not affect investment behavior. Relative to the case of reversible investment, the introduction of irreversibility does not affect q, but it reduces the fundamental market value of the firm.

Suggested Citation

  • Andrew B. Abel & Janice C. Eberly, "undated". "An Exact Solution for the Investment and Market Value of a Firm Facing Uncertainty, Adjustment Costs, and Irreversibility," Rodney L. White Center for Financial Research Working Papers 12-93, Wharton School Rodney L. White Center for Financial Research.
  • Handle: RePEc:fth:pennfi:12-93
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    References listed on IDEAS

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    1. Dixit, Avinash, 1991. "Irreversible Investment with Price Ceilings," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 541-557, June.
    2. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
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    5. 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.
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    8. Tobin, James, 1969. "A General Equilibrium Approach to Monetary Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 1(1), pages 15-29, February.
    9. 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.
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    14. Ben S. Bernanke, 1983. "Irreversibility, Uncertainty, and Cyclical Investment," The Quarterly Journal of Economics, Oxford University Press, vol. 98(1), pages 85-106.
    15. Abel, Andrew B, 1985. "A Stochastic Model of Investment, Marginal q and the Market Value of the Firm," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 305-322, June.
    16. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-233, March.
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    18. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
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    Citations

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    Cited by:

    1. Junning Cai, 2003. "Fundamental Paper Wealth and Monetary Policy," Macroeconomics 0309001, EconWPA.
    2. Richard W. Kopcke, 1995. "Tobin's Q, economic rents, and the optimal stock of capital," Working Papers 95-4, Federal Reserve Bank of Boston.
    3. Abel, Andrew B. & Eberly, Janice C., 1999. "The effects of irreversibility and uncertainty on capital accumulation," Journal of Monetary Economics, Elsevier, vol. 44(3), pages 339-377, December.
    4. Hjalmar Böhm & Michael Funke & Nikolaus A. Siegfried, 1999. "Discovering the Link between Uncertainty and Investment - Microeconometric Evidence from Germany," Quantitative Macroeconomics Working Papers 19906, Hamburg University, Department of Economics.
    5. Affuso, Luisa & Newbery, David M G, 2000. "Investment, Reprocurement and Franchise Contract Length in the British Railway Industry," CEPR Discussion Papers 2619, C.E.P.R. Discussion Papers.
    6. Junning Cai, 2003. "Asset Prices and Monetary Policy: Some Notes," Macroeconomics 0305006, EconWPA, revised 13 May 2003.
    7. Junning Cai, 2004. "Baby Boom, Asset Market Meltdown and Liquidity Trap," Macroeconomics 0401002, EconWPA.
    8. Luisa Affuso & David Newbery, 2002. "The Impact of Structural and Contractual Arrangements on a Vertically Separated Railway," The Economic and Social Review, Economic and Social Studies, vol. 33(1), pages 83-92.
    9. Marcel Gérard & Frédéric Verscueren, 2002. "Finance, uncertainty and investment: assessing the gains and losses of a generalized non linear structural approach using Belgian panel data," Working Paper Research 26, National Bank of Belgium.

    More about this item

    JEL classification:

    • E22 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Investment; Capital; Intangible Capital; Capacity

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