Abstract
A model was proposed for addressing investment risk of the free reserve in the form of credit or currency risk. This risk was expressed by a constant amount K (e.g., securitization) upon an interest-increasing event and a random variable Z representing the recovery rate of a bond or a devaluation factor. The model equation is an integro-differential equation with deviating arguments. The analytical solutions were obtained for the probability of survival as Z is a discrete random variable and as Z is a continuous random variable respectively.
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