IDEAS home Printed from https://ideas.repec.org/p/nbr/nberwo/4412.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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, 1993. "An Exact Soultion for the Investment and Market Value of a Firm Facing Uncertainty, Adjustment Costs, and Irreversibility," NBER Working Papers 4412, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:4412
    Note: DAE AP
    as

    Download full text from publisher

    File URL: http://www.nber.org/papers/w4412.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    3. 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.
    4. Dixit, Avinash K, 1989. "Entry and Exit Decisions under Uncertainty," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 620-638, June.
    5. A. B. Treadway, 1969. "On Rational Entrepreneurial Behaviour and the Demand for Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 36(2), pages 227-239.
    6. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    7. Ben S. Bernanke, 1983. "Irreversibility, Uncertainty, and Cyclical Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(1), pages 85-106.
    8. Dixit, Avinash, 1991. "Irreversible Investment with Price Ceilings," Journal of Political Economy, University of Chicago Press, vol. 99(3), pages 541-557, June.
    9. 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.
    10. Robert McDonald & Daniel Siegel, 1986. "The Value of Waiting to Invest," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 101(4), pages 707-727.
    11. Bertola, Giuseppe, 1998. "Irreversible investment," Research in Economics, Elsevier, vol. 52(1), pages 3-37, March.
    12. J. P. Gould, 1968. "Adjustment Costs in the Theory of Investment of the Firm," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(1), pages 47-55.
    13. Mussa, Michael L, 1977. "External and Internal Adjustment Costs and the Theory of Aggregate and Firm Investment," Economica, London School of Economics and Political Science, vol. 44(174), pages 163-178, May.
    14. 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.
    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. Hayashi, Fumio, 1982. "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-224, January.
    17. Pindyck, Robert S, 1993. "A Note on Competitive Investment under Uncertainty," American Economic Review, American Economic Association, vol. 83(1), pages 273-277, March.
    18. Abel, Andrew B, 1983. "Optimal Investment under Uncertainty," American Economic Review, American Economic Association, vol. 73(1), pages 228-233, March.
    19. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75(4), pages 321-321.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Richard W. Kopcke, 1995. "Tobin's Q, economic rents, and the optimal stock of capital," Working Papers 95-4, Federal Reserve Bank of Boston.
    2. 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.
    3. Newbery, David & Affuso, Luisa, 2000. "Investment, Reprocurement and Franchise Contract Length in the British Railway Industry," CEPR Discussion Papers 2619, C.E.P.R. Discussion Papers.
    4. Junning Cai, 2004. "Baby Boom, Asset Market Meltdown and Liquidity Trap," Macroeconomics 0401002, University Library of Munich, Germany.
    5. 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.
    6. 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.
    7. Junning Cai, 2003. "Fundamental Paper Wealth and Monetary Policy," Macroeconomics 0309001, University Library of Munich, Germany.
    8. 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.
    9. Junning Cai, 2003. "Asset Prices and Monetary Policy: Some Notes," Macroeconomics 0305006, University Library of Munich, Germany, revised 13 May 2003.
    10. Ihrig, Jane, 2000. "Multinationals' response to repatriation restrictions," Journal of Economic Dynamics and Control, Elsevier, vol. 24(9), pages 1345-1379, August.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. Frank Silvio Marzano & Enrico Saltari, 1999. "Modern Theories of Investment Decisions A Critical Assessment," Working Papers 57, Sapienza University of Rome, CIDEI.
    3. Abel, Andrew B & Eberly, Janice C, 1994. "A Unified Model of Investment under Uncertainty," American Economic Review, American Economic Association, vol. 84(5), pages 1369-1384, December.
    4. Kogan, Leonid, 2001. "An equilibrium model of irreversible investment," Journal of Financial Economics, Elsevier, vol. 62(2), pages 201-245, November.
    5. Andrew B. Abel & Avinash K. Dixit & Janice C. Eberly & Robert S. Pindyck, 1996. "Options, the Value of Capital, and Investment," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(3), pages 753-777.
    6. M. Ishaq Nadiri & Ingmar Prucha, 2001. "Dynamic Factor Demand Models and Productivity Analysis," NBER Chapters, in: New Developments in Productivity Analysis, pages 103-172, National Bureau of Economic Research, Inc.
    7. Robert S. Pindyck & Andrés Solimano, 1993. "Economic Instability and Aggregate Investment," NBER Chapters, in: NBER Macroeconomics Annual 1993, Volume 8, pages 259-318, National Bureau of Economic Research, Inc.
    8. Andrew B. Abel & Avinash K. Dixit & Janice B. Eberly & Robert S. Pindyck, "undated". "Options, the Value of Capital, and Investment," Rodney L. White Center for Financial Research Working Papers 15-95, Wharton School Rodney L. White Center for Financial Research.
    9. Bontempi, Maria Elena & Golinelli, Roberto & Parigi, Giuseppe, 2010. "Why demand uncertainty curbs investment: Evidence from a panel of Italian manufacturing firms," Journal of Macroeconomics, Elsevier, vol. 32(1), pages 218-238, March.
    10. Abel, Andrew B., 1990. "Consumption and investment," Handbook of Monetary Economics, in: B. M. Friedman & F. H. Hahn (ed.), Handbook of Monetary Economics, edition 1, volume 2, chapter 14, pages 725-778, Elsevier.
    11. Eberly, Janice C., 1997. "International evidence on investment and fundamentals," European Economic Review, Elsevier, vol. 41(6), pages 1055-1078, June.
    12. Johannes Fedderke, 2004. "Investment in Fixed Capital Stock: Testing for the Impact of Sectoral and Systemic Uncertainty," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 66(2), pages 165-187, May.
    13. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    14. Bernard Dumas, "undated". "Pricing Physical Assets Internationally," Rodney L. White Center for Financial Research Working Papers 12-88, Wharton School Rodney L. White Center for Financial Research.
    15. Luis H. R. Alvarez & Erkki Koskela, 2002. "Irreversible Investment under Interest Rate Variability: New Results," CESifo Working Paper Series 640, CESifo.
    16. Salas-Fumás, Vicente & Rosell-Martínez, Jorge & Delgado-Gómez, José Manuel, 2016. "Capacity, investment and market power in the economic value of energy firms," Energy Economics, Elsevier, vol. 53(C), pages 28-39.
    17. Alaa El-Shazly, 2009. "Investment Under Tax Policy Uncertainty: A Neoclassical Approach," Public Finance Review, , vol. 37(6), pages 732-749, November.
    18. Lin, Xiaoji & Wang, Chong & Wang, Neng & Yang, Jinqiang, 2018. "Investment, Tobin’s q, and interest rates," Journal of Financial Economics, Elsevier, vol. 130(3), pages 620-640.
    19. Andrew B. Abel, 2015. "The Analytics of Investment, q, and Cash Flow," NBER Working Papers 21549, National Bureau of Economic Research, Inc.
    20. Caruso, Massimo, 2001. "Investment and the persistence of price uncertainty," Research in Economics, Elsevier, vol. 55(2), pages 189-217, June.

    More about this item

    JEL classification:

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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nbr:nberwo:4412. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: the person in charge (email available below). General contact details of provider: https://edirc.repec.org/data/nberrus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.