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Irreversible Investment under Interest Rate Variability: Some Generalizations

Author

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  • Luis H. R. Alvarez

    (Turku School of Economics and Business Administration)

  • Erkki Koskela

    (University of Helsinki, Bank of Finland, Center for Economic Studies—IFO, and Institute for the Study of Labor)

Abstract

We study the impact of interest rate and revenue variability on the decision to carry out irreversible investment. We provide a mathematical characterization of the two-dimensional optimal stopping problem and show that interest rate variability has a decelerating or accelerating impact on investment depending on whether the current interest rate is below or above the long-run steady state. Allowing for interest rate volatility decelerates investment by raising both the required exercise premium of the investment opportunity and the value of waiting. Finally, increased revenue volatility is shown to strengthen the negative impact of interest rate volatility and vice versa.

Suggested Citation

  • Luis H. R. Alvarez & Erkki Koskela, 2006. "Irreversible Investment under Interest Rate Variability: Some Generalizations," The Journal of Business, University of Chicago Press, vol. 79(2), pages 623-644, March.
  • Handle: RePEc:ucp:jnlbus:v:79:y:2006:i:2:p:623-644
    DOI: 10.1086/499133
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    1. Yaozhong Hu & Bernt Øksendal, 1998. "Optimal time to invest when the price processes are geometric Brownian motions," Finance and Stochastics, Springer, vol. 2(3), pages 295-310.
    2. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(5), pages 687-698, October.
    3. Andrew B. Abel & Janice C. Eberly, 1996. "Optimal Investment with Costly Reversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 581-593.
    4. Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1992. "Waiting to Invest: Investment and Uncertainty," The Journal of Business, University of Chicago Press, vol. 65(1), pages 1-29, January.
    5. Ioannis Karatzas & Fridrik M. Baldursson, 1996. "Irreversible investment and industry equilibrium (*)," Finance and Stochastics, Springer, vol. 1(1), pages 69-89.
    6. Michel Demers, 1991. "Investment under Uncertainty, Irreversibility and the Arrival of Information Over Time," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 333-350.
    7. 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.
    8. L. Wade, 1988. "Review," Public Choice, Springer, vol. 58(1), pages 99-100, July.
    9. Huntley Schaller & Fanny Demers & Michel Demers, 1993. "Investments Under Uncertainty and Irreversibility," Carleton Economic Papers 93-10, Carleton University, Department of Economics, revised Sep 1990.
    10. Stephen Nickell, 1974. "On the Role of Expectations in the Pure Theory of Investment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 41(1), pages 1-19.
    11. Pindyck, Robert S, 1991. "Irreversibility, Uncertainty, and Investment," Journal of Economic Literature, American Economic Association, vol. 29(3), pages 1110-1148, September.
    12. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(3), pages 381-386, June.
    13. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(4), pages 525-537, August.
    14. 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.
    15. 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.
    16. Cukierman, Alex, 1980. "The Effects of Uncertainty on Investment under Risk Neutrality with Endogenous Information," Journal of Political Economy, University of Chicago Press, vol. 88(3), pages 462-475, June.
    17. 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.
    18. Alvarez, Luis H. R. & Koskela, Erkki, 2005. "Wicksellian theory of forest rotation under interest rate variability," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 529-545, March.
    19. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(2), pages 285-292, April.
    20. Henry, Claude, 1974. "Investment Decisions Under Uncertainty: The "Irreversibility Effect."," American Economic Review, American Economic Association, vol. 64(6), pages 1006-1012, December.
    21. ,, 1998. "Problems And Solutions," Econometric Theory, Cambridge University Press, vol. 14(1), pages 151-159, February.
    22. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    23. Robert C. Merton, 1975. "An Asymptotic Theory of Growth Under Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 42(3), pages 375-393.
    24. Caballero, Ricardo J., 1999. "Aggregate investment," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 12, pages 813-862, Elsevier.
    25. Nickell, Stephen J, 1974. "On Expectations, Government Policy and the Rate of Investment," Economica, London School of Economics and Political Science, vol. 41(163), pages 241-255, August.
    26. Anders ûksendal, 2000. "Irreversible investment problems," Finance and Stochastics, Springer, vol. 4(2), pages 223-250.
    27. 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.
    28. Bertola, Giuseppe, 1998. "Irreversible investment," Research in Economics, Elsevier, vol. 52(1), pages 3-37, March.
    29. Baldwin, Carliss Y, 1982. "Optimal Sequential Investment When Capital Is Not Readily Reversible," Journal of Finance, American Finance Association, vol. 37(3), pages 763-782, June.
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    Cited by:

    1. Alvarez, Luis H. R. & Koskela, Erkki, 2005. "Wicksellian theory of forest rotation under interest rate variability," Journal of Economic Dynamics and Control, Elsevier, vol. 29(3), pages 529-545, March.
    2. Carmona, Julio & Leon, Angel, 2007. "Investment option under CIR interest rates," Finance Research Letters, Elsevier, vol. 4(4), pages 242-253, December.
    3. Luis Alvarez, 2010. "Irreversible capital accumulation under interest rate uncertainty," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(2), pages 249-271, October.
    4. Luis H.R. Alvarez E., 2006. "Irreversible Investment, Incremental Capital Accumulation, and Price Uncertainty," Discussion Papers 4, Aboa Centre for Economics.
    5. Nesrine Dardouri & Abdelkader Aguir & Ramzi Farhani & Mounir Smida, 2023. "Revisiting the Determinants of Investment- The Case of Tunisia," Post-Print hal-04101430, HAL.
    6. Godwin Olasehinde-Williams & Oktay Özkan, 2022. "Is interest rate uncertainty a predictor of investment volatility? evidence from the wild bootstrap likelihood ratio approach," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 46(3), pages 507-521, July.
    7. Dias, José Carlos & Shackleton, Mark B., 2011. "Hysteresis effects under CIR interest rates," European Journal of Operational Research, Elsevier, vol. 211(3), pages 594-600, June.
    8. Luca Vincenzo Ballestra & Graziella Pacelli & Davide Radi, 2017. "Valuing investment projects under interest rate risk: empirical evidence from European firms," Applied Economics, Taylor & Francis Journals, vol. 49(56), pages 5662-5672, December.
    9. Sarkar, Sudipto, 2021. "The uncertainty-investment relationship with endogenous capacity," Omega, Elsevier, vol. 98(C).

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