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The Effect of Stochastic Capital Reserve on Actuarial Risk Analysis via an Integrodifferential Equation

Edeki, S.O. and adinya, I and Ugbebor, O.O. (2014) The Effect of Stochastic Capital Reserve on Actuarial Risk Analysis via an Integrodifferential Equation. IAENG International Journal of Applied Mathematics, 44 (2). pp. 83-90.

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Abstract

This work investigates the effect of stochastic capital reserve on actuarial risk analysis. The formulated mathematical problem is a risk-reserve process of an insurance company whose ruin and survival probabilities are analyzed via the solutions of a derived integro-differential equation (IDE). We further study the interplay between the parameters governing the ruin and the survival probabilities regarding the risk-reserve model; thereby establish a relationship between the probabilities and the initial risk reserve in terms of the other parameters.

Item Type: Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User: S.O. Edeki
Date Deposited: 07 Mar 2016 09:39
Last Modified: 07 Mar 2016 09:39
URI: http://eprints.covenantuniversity.edu.ng/id/eprint/6377

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