The paper introduces the average internal rate of return (AIRR) into the mathematic fuzzy's frame, like alternative method for estimating returns in ambiguity situations. In the first part it is developed the AIRR and its fuzzy version like an alternative of return determination under ambiguity situations. Next, with a hypothetical case, the consistency with the present value (PV) in the projects ranking at conflictive situations is illustrated. In case of uncertainty, the equality between the AIRR estimated over the expected cash flows or as expected AIRR is showed. Finally, and like a measurement for estimating average returns in vague situations, it is set out the fuzzy AIRR, comparing results with the fuzzy PV and IRR methods.

The paper introduces the average internal rate of return (AIRR) into the mathematic fuzzy’s frame, like alternative method for estimating returns in ambiguity situations. In the first part it is developed the AIRR and its fuzzy version like an alternative of return determination under ambiguity situations. Next, with a hypothetical case, the consistency with the present value (PV) in the projects ranking at conflictive situations is illustrated. In case of uncertainty,the equality between the AIRR estimated over the expected cash flows or as expected AIRR is showed. Finally, and like a measurement for estimating average returns in vague situations, it is set out the fuzzy AIRR, comparing results with the fuzzy PV and IRR methods. Doi: https://doi.org/10.1016/j.jefas.2015.12.001

This paper proposes a binomial model for company valuation, projecting scenarios of continuity or insolvency of the company, and comparing it with the discounted cash flow model. The Real Option Theory is used for estimating the value of the company, which results in an explicit trade-off between the advantages and the risk of taking on debts. The work is organized as follows: the model is introduced and developed, and then it is illustrated with the application of a case, comparing the results obtained with the discounted cash flow model. Variables like: leverage, tax rate and volatility are sensitive when analyzing the impact on the value of the company. Finally, the document describes the advantages of the proposed model.

This paper proposes a binomial model for company valuation, projecting scenarios of continuity or insolvency of the company, and comparing it with the discounted cash flow model. The Real Option Theory is used for estimating the value of the company, which results in an explicit trade-off between the advantages and the risk of taking on debts. The work is organized as follows: the model is introduced and developed, and then it is illustrated with the application of a case, comparing the results obtained with the discounted cash flow model. Variables like: leverage, tax rate and volatility are sensitive when analyzing the impact on the value of the company. Finally, the document describes the advantages of the proposed model. DOI: http://dx.doi.org/10.1016/j.jefas.2014.03.004