Document Type : Research Paper


1 Social and Business Research Laboratory, Department of Business Management, Rovira i Virgili University, Spain

2 Department of Mathematics for Economics, Finance and Actuarial Science, University of Barcelona, Spain


The concept of fuzzy random variable has been applied in several papers to model the present value of life insurance liabilities. It allows the fuzzy uncertainty of the interest rate and the probabilistic behaviour of mortality to be used throughout the valuation process without any loss of information. Using this framework, and considering a triangular interest rate, this paper develops closed expressions for the expected present value and its defuzzified value, the variance and the distribution function of several well-known actuarial liabilities structures, namely life insurances, endowments and life annuities.


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