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Time to Build, Option Value, and Investment Decisions

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  • Saman Majd
  • Robert S. Pindyck

Abstract

Many investment projects have the following characteristics: (i) spending decisions and cash outlays occur sequentially over time, (ii) there is a maximum rate at which outlays and construction can proceed -- it takes "time to build," and (iii) the project yields no cash return until it is actually completed. Furthermore, the pattern of investment outlays is usually flexible,and can be adjusted as new information arrives. For such projects traditional discounted cash flow criteria, which treat the spending pattern as fixed, are inadequate as a guide for project evaluation. This paper develops an explicit model of investment projects with these characteristics, and uses option pricing methods to derive optimal decision rules for investment outlays over the entire construction program. Numerical solutions are used to demonstrate how time to build, opportunity cost, and uncertainty interact in affecting the investment decision. We show that with moderate levels of uncertainty over the future value of the completed project, a simple NPV rule could lead to gross over-investment. Also, we show how the contingent nature of the investment program magnifies the depressive effect of increased uncertainty on investment spending.

Suggested Citation

  • Saman Majd & Robert S. Pindyck, 1985. "Time to Build, Option Value, and Investment Decisions," NBER Working Papers 1654, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:1654
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    1. Roberts, Kevin & Weitzman, Martin L, 1981. "Funding Criteria for Research, Development, and Exploration Projects," Econometrica, Econometric Society, vol. 49(5), pages 1261-1288, September.
    2. Fischer, Stanley & Merton, Robert C., 1984. "Macroeconomics and finance: The role of the stock market," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 21(1), pages 57-108, January.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Geske, Robert & Shastri, Kuldeep, 1985. "Valuation by Approximation: A Comparison of Alternative Option Valuation Techniques," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 20(1), pages 45-71, March.
    5. Kenneth J. Arrow & Anthony C. Fisher, 1974. "Environmental Preservation, Uncertainty, and Irreversibility," Palgrave Macmillan Books, in: Chennat Gopalakrishnan (ed.), Classic Papers in Natural Resource Economics, chapter 4, pages 76-84, Palgrave Macmillan.
    6. Myers, Stewart C. & Majd, Saman., 1983. "Calculating abandonment value using option pricing theory," Working papers 1462-83., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    7. Poterba, James M & Summers, Lawrence H, 1986. "The Persistence of Volatility and Stock Market Fluctuations," American Economic Review, American Economic Association, vol. 76(5), pages 1142-1151, December.
    8. Merton, Robert C., 1977. "On the pricing of contingent claims and the Modigliani-Miller theorem," Journal of Financial Economics, Elsevier, vol. 5(2), pages 241-249, November.
    9. Martin L. Weitzman & Whitney Newey & Michael Rabin, 1981. "Sequential R&D Strategy for Synfuels," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 574-590, Autumn.
    10. 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.
    11. 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.
    12. Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-157, April.
    13. Robert McDonald & Daniel R. Siegel, 1982. "Investment and the Valuation of Firms When There is an Option to Shut Down," Discussion Papers 529S, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    14. Brennan, Michael J. & Schwartz, Eduardo S., 1978. "Finite Difference Methods and Jump Processes Arising in the Pricing of Contingent Claims: A Synthesis," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 13(3), pages 461-474, September.
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