Probabilistic versus fuzzy valuation, real options and the binomial model. Application for investment projects in ambiguity conditions

The aim of this paper is to present the methodology, advantages and weakness of the fuzzy binomial real option model as a complement to the probabilistic binomial model. The structure is as follow: first, it shows the real option models classified into probabilistic and fuzzy. Second, it develops the binomial fuzzy model, incorporating: the MAD method (Marketed Asset Disclaimer); fuzzy binomial lattice, and the pessimistic- optimistic index for estimates of the real option expected value of the project (ROEV). It illustrates, using a case comparing, the results obtained with the fuzzy and probabilistic model. It concludes that in lack of information situations (ambiguity), the fuzzy logic is a complement of the probabilistic model for estimates of the strategic flexibility value. (C) 2012 Universidad ICESI. Published by Elsevier Espana, S.L. All rights reserved.