A generalized complementarity approach to solving real option problems
This article provides a unified framework for analyzing a wide variety of real option problems. These problems include the frequently studied, simple real option problems, as described in Dixit and Pindyck [1994. Investment Under Uncertainty. Princeton University Press, Princeton] for example, but also problems with more complicated and realistic assumptions. We reveal that all the real option problems belonging to the more general class considered in this study are described by the same mathematical structure, which can be solved by applying a computational algorithm developed in the field of mathematical programming. More specifically, all of the present real option problems can be directly solved by reformulating their optimality condition as a dynamical system of generalized linear complementarity problems (GLCPs). This enables us to develop an efficient and robust algorithm for solving a broad range of real option problems in a unified manner, exploiting recent advances in the theory of complementarity problems.
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- Majd, Saman & Pindyck, Robert S., 1987.
"Time to build, option value, and investment decisions,"
Journal of Financial Economics,
Elsevier, vol. 18(1), pages 7-27, March.
- Saman Majd & Robert S. Pindyck, 1985. "Time to Build, Option Value, and Investment Decisions," NBER Working Papers 1654, National Bureau of Economic Research, Inc.
- Trigeorgis, Lenos, 1993. "The Nature of Option Interactions and the Valuation of Investments with Multiple Real Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 1-20, March.
- Broadie, Mark & Detemple, Jerome, 1996. "American Option Valuation: New Bounds, Approximations, and a Comparison of Existing Methods," Review of Financial Studies, Society for Financial Studies, vol. 9(4), pages 1211-50.
- Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
- Dixit, A., 1988.
"Entry And Exit Decisions Under Uncertainty,"
91, Princeton, Department of Economics - Financial Research Center.
- Kaushik Amin & Ajay Khanna, 1994. "Convergence Of American Option Values From Discrete- To Continuous-Time Financial Models," Mathematical Finance, Wiley Blackwell, vol. 4(4), pages 289-304.
- Malchow-Moller, Nikolaj & Thorsen, Bo Jellesmark, 2005. "Repeated real options: optimal investment behaviour and a good rule of thumb," Journal of Economic Dynamics and Control, Elsevier, vol. 29(6), pages 1025-1041, June.
- Bar-Ilan, Avner & Sulem, Agnes & Zanello, Alessandro, 2002. "Time-to-build and capacity choice," Journal of Economic Dynamics and Control, Elsevier, vol. 26(1), pages 69-98, January.
- Trigeorgis, Lenos, 1991. "A Log-Transformed Binomial Numerical Analysis Method for Valuing Complex Multi-Option Investments," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(03), pages 309-326, September.
- M. A. H. Dempster & J. P. Hutton, 1999. "Pricing American Stock Options by Linear Programming," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 229-254.
- McDonald, Robert L & Siegel, Daniel R, 1985. "Investment and the Valuation of Firms When There Is an Option to Shut Down," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(2), pages 331-49, June.
- Geske, Robert & Johnson, Herb E, 1984. " The American Put Option Valued Analytically," Journal of Finance, American Finance Association, vol. 39(5), pages 1511-24, December.
- Jérôme Detemple & Weidong Tian, 2002. "The Valuation of American Options for a Class of Diffusion Processes," Management Science, INFORMS, vol. 48(7), pages 917-937, July.
- S. D. Jacka, 1991. "Optimal Stopping and the American Put," Mathematical Finance, Wiley Blackwell, vol. 1(2), pages 1-14.
- Bar-Ilan, Avner & Strange, William C, 1996. "Investment Lags," American Economic Review, American Economic Association, vol. 86(3), pages 610-22, June.
- Brennan, Michael J & Schwartz, Eduardo S, 1985. "Evaluating Natural Resource Investments," The Journal of Business, University of Chicago Press, vol. 58(2), pages 135-57, April.
- Milne, Alistair & Whalley, A Elizabeth, 2000. "'Time to build, option value and investment decisions': a comment," Journal of Financial Economics, Elsevier, vol. 56(2), pages 325-332, May.
- Brennan, Michael J & Schwartz, Eduardo S, 1977. "The Valuation of American Put Options," Journal of Finance, American Finance Association, vol. 32(2), pages 449-62, May.
- Boyle, Phelim P., 1988. "A Lattice Framework for Option Pricing with Two State Variables," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(01), pages 1-12, March.
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