The Effects of Misspecification of Stochastic Processes on Investment Appraisal
Authors: George Yungchih Wang
For decades financial economists have been attempted to determine the optimal investment policy by recognizing the option value embedded in irreversible investment whose project value evolves as a geometric Brownian motion (GBM). This paper aims to examine the effects of the optimal investment trigger and of the misspecification of stochastic processes on investment in real options applications. Specifically, the former explores the consequence of adopting optimal investment rules on the distributions of corporate value under the correct assumption of stochastic process while the latter analyzes the influence on the distributions of corporate value as a result of the misspecification of stochastic processes, i.e., mistaking an alternative process as a GBM. It is found that adopting the correct optimal investment policy may increase corporate value by shifting the value distribution rightward, and the misspecification effect may decrease corporate value by shifting the value distribution leftward. The adoption of the optimal investment trigger has a major impact on investment to such an extent that the downside risk of investment is truncated at the project value of zero, thereby moving the value distributions rightward. The analytical framework is also extended to situations where collection lags are in place, and the result indicates that collection lags reduce the effects of investment trigger and misspecification on investment in an opposite way.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1056106Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF Downloads 1194
 Bar-Ilan, Avner and Strange, William C. "Investment Lags." American Economic Review 86 (1996), 610-622.
 Corman, Linda. "To Wait or Not to Wait." CFO Magazine 13, 5 (1997), 91-94.
 Dixit, Avinash K. and Pindyck, Robert S. Investment under Uncertainty (1994). Princeton University Press, New Jersey, USA.
 Faulkner, Terrence W. "Applying ÔÇÿOption Thinking- to R&D Valuation." Research Technology Management 39, 3 (1996), 50-56.
 Geske, Robert. "The Valuation of Corporate Liabilities as Compound Options," Journal of Financial and Quantitative Analysis 12 (1977), 541-552.
 Geske, Robert. "The Valuation of Compound Options." Journal of Financial Economics 7 (1979), 63-81.
 Hamilton, James D. Time Series Analysis. Princeton University Press (1994). New Jersey, USA.
 Jensen, Kjeld and Warren, Paul. "The Use of Options Theory to Value Research in the Service Sector." R&D Management 31, 2 (2001), 173-180.
 Lint, Onno and Pennings, Enrico. "An Option Approach to the New Product Development Process: a Case Study at Phillips Electronics." R&D Management 31, 2 (2001), 163-172.
 Majd, Saman and Pindyck, Robert S. "Time to Build, Option Value, and Investment Decisions." Journal of Financial Economics 18, 1 (1987), 7-27.
 McDonald, Robert and Siegel, Daniel. "The Value of Waiting to Invest." Quarterly Journal of Economics 101 (1986), 707-728.
 Merton, Robert C., "Option Pricing When Underlying Stock Returns are Discontinuous." Journal of Financial Economics 3 (1976), 125-144.
 Morgan, M. Granger and Henrion, Max. Uncertainty. Cambridge University Press (1990). Cambridge, UK.
 Nichols, Nancy A. "Scientific Management at Merck: an Interview with CFO Judy Lewent." Harvard Business Review 72 (1994), 88-99.
 Peeters, Marga. "Investment Gestation Lags: the Difference between Time-to-Build and Delivery Lags." Applied Economics 28 (1996), 203-208.
 Pennings, Enrico and Lint, Ono. "The Option Value of Advanced R&D." European Journal of Operational Research 103, 1 (1997), 83-94.
 Sender, Gary L. "Option Analysis at Merck." Harvard Business Review 72 (1994), 92.
 Trigeorgis, Lenos. "Valuing the Impact of the Uncertain Competitive Arrivals on Deferrable Real Investment Opportunities." Working Paper, Boston University (1990).
 Turvey, Calum G. "Mycogen as a Case Study in Real Options," Review of Agricultural Economics 23, 1 (2001), 243-264.
 Wang, Yungchih G. "Topics in Investment Appraisal and Real Options" PhD Thesis, Imperial College, University of London (2004).