Kasozi, JumaCharles, Wilson M.Mayambala, Fred2016-09-212016-09-212013Kasozi, J., Mahera, C.W. and Mayambala, F., 2013. Controlling ultimate ruin probability by quota-share reinsurance arrangements. International Journal of Applied Mathematics and Statistics, 49(19).0973-7545http://hdl.handle.net/20.500.11810/3900A basic insurance model is perturbated by a diffusion. We take this model to represent the wealth dynamics of an insurance company. The model is compounded by another return on investments process of the Black-Scholes type. Both models form the risk process used in this work. Further, to manage her risk levels, the company enters into quota-share reinsurance arrangements with a reinsurer. We derive a second-order Volterra integro-differential equation which we transforminto a linear Volterra integral equation of the second kind. We have solved the equations numerically using the block-by-block method for different retention levels for the chosen parameters. Results show that quota-share reinsurance improves the survival of the insurerenUltimate ruin probabilityHJB equationVolterra equationsBlock-by-block methodQuota-share reinsuranceJournal Article, Peer Reviewed