Arithmetic Brownian motion and real options
AbstractWe treat real option value when the underlying process is arithmetic Brownian motion (ABM). In contrast to the more common assumption of geometric Brownian motion (GBM) and multiplicative diffusion, with ABM the underlying project value is expressed as an additive process. Its variance remains constant over time rather than rising or falling along with the project’s value, even admitting the possibility of negative values. This is a more compelling paradigm for projects that are managed as a component of overall firm value. After outlining the case for ABM, we derive analytical formulas for European calls and puts on dividend-paying assets as well as a numerical algorithm for American-style and other more complex options based on ABM. We also provide examples of their use.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoArticle provided by Elsevier in its journal European Journal of Operational Research.
Volume (Year): 219 (2012)
Issue (Month): 1 ()
Contact details of provider:
Web page: http://www.elsevier.com/locate/eor
Investment analysis; Real options; Risk-neutral valuation; Arithmetic Brownian motion;
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Brennan, Michael J., 2003. "Corporate investment policy," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 3, pages 167-214 Elsevier.
- Capozza, Dennis R & Schwann, Gregory M, 1990. "The Value of Risk in Real Estate Markets," The Journal of Real Estate Finance and Economics, Springer, vol. 3(2), pages 117-40, June.
- Capozza, Dennis & Li, Yuming, 1994. "The Intensity and Timing of Investment: The Case of Land," American Economic Review, American Economic Association, vol. 84(4), pages 889-904, September.
- James E. Smith & Robert F. Nau, 1995. "Valuing Risky Projects: Option Pricing Theory and Decision Analysis," Management Science, INFORMS, vol. 41(5), pages 795-816, May.
- Giacometti, Rosella & Teocchi, Mariangela, 2005. "On pricing of credit spread options," European Journal of Operational Research, Elsevier, vol. 163(1), pages 52-64, May.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).
If references are entirely missing, you can add them using this form.