The paper considers the efficiency of the pay-as-you-go pension system with endogenous labor supply, when contributions are collected as an income tax. Results from the literature state that in this case a Pareto-improving transition path to a fully-funded system exists, if the interest rate is...

We use probabilistic arguments to derive an expression for the joint density of the time of ruin and the number of claims until ruin in the classical risk model. From this we obtain a general expression for the probability function of the number of claims until ruin. We also consider the moments...