A Fuzzy Real Option Valuation Approach to Capital budgeting under Uncertainty Environment

The information needed for capital budgeting is generally not known with certainty. The sources of uncertainty may be the net cash inflows, the life of the project, or the discount rate. We propose a capital budgeting model under uncertainty environment in which the concept of probability is employed in describing fuzzy events and cash flow information can be specified as a special type of fuzzy numbers. The present worth of each fuzzy project cash flow can be subsequently estimated. At the same time, to select fuzzy projects and determine the optimal decision time under limited capital budget, we offer an example to analyze the results of the capital budgeting problem under uncertainty using a fuzzy real option valuation.

[1]  Christer Carlsson,et al.  Fuzzy reasoning in decision making and optimization , 2001, Studies in Fuzziness and Soft Computing.

[2]  T. Luehrman,et al.  Strategy as a portfolio of real options. , 1998, Harvard business review.

[3]  Yi-Chung Hu,et al.  Mining Simplified Fuzzy if-then Rules for Pattern Classification , 2009, Int. J. Inf. Technol. Decis. Mak..

[4]  Enrique Herrera-Viedma,et al.  A Consensus Model for Group Decision Making Problems with Unbalanced Fuzzy Linguistic Information , 2009, Int. J. Inf. Technol. Decis. Mak..

[5]  Christer Carlsson,et al.  A Fuzzy Approach to Real Option Valuation , 2002, Fuzzy Sets Syst..

[6]  Robert J. Kauffman,et al.  Justifying Electronic Banking Network Expansion Using Real Options Analysis , 2000, MIS Q..

[7]  Gwo-Hshiung Tzeng,et al.  A Fuzzy Set Approach for Generalized CRR Model: An Empirical Analysis of S&P 500 Index Options , 2005 .

[8]  Jin Peng,et al.  Fuzzy Group Decision Making Model Based on Credibility Theory and Gray Relative Degree , 2009, Int. J. Inf. Technol. Decis. Mak..

[9]  E. H. Bowman,et al.  Strategy through the Option Lens: An Integrated View of Resource Investments and the Incremental-Choice Process , 1993 .

[10]  Lotfi A. Zadeh,et al.  Fuzzy Sets , 1996, Inf. Control..

[11]  Richard Bellman,et al.  Decision-making in fuzzy environment , 2012 .

[12]  Gwo-Hshiung Tzeng,et al.  A new application of fuzzy set theory to the Black-Scholes option pricing model , 2005, Expert Syst. Appl..

[13]  N. A. Nichols Scientific management at Merck: An interview with CFO Judy Lewent , 1994 .

[14]  K. Asai,et al.  Fuzzy linear programming problems with fuzzy numbers , 1984 .

[15]  Nalin Kulatilaka,et al.  Real Options: Managing Strategic Investment in an Uncertain World , 1998 .

[16]  L. Trigeorgis Real Options in Capital Investment: Models, Strategies, and Applications , 1995 .

[17]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[18]  Nalin Kulatilaka,et al.  The value of flexibility: The case of a dual-fuel industrial steam boiler , 1993 .

[19]  Shaoyuan Li,et al.  Two-Phase Interactive Satisfying Method of Fuzzy Multiple Objective Optimization with Linguistic Preference , 2009, Int. J. Inf. Technol. Decis. Mak..

[20]  Zhengxin Chen,et al.  A Descriptive Framework for the Field of Data Mining and Knowledge Discovery , 2008, Int. J. Inf. Technol. Decis. Mak..

[21]  A. A. Robichek,et al.  CONCEPTUAL PROBLEMS IN THE USE OF RISK‐ADJUSTED DISCOUNT RATES* , 1966 .

[22]  L. Zadeh Probability measures of Fuzzy events , 1968 .

[23]  S. Turnbull,et al.  CAPITAL BUDGETING AND THE CAPITAL ASSET PRICING MODEL: GOOD NEWS AND BAD NEWS , 1977 .