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Parisian ruin probability for spectrally negative Lévy processes
L´ evy process ruin probability Parisian ruin risk process
2011/3/23
In this note we give, for a spectrally negative L\'evy process, a compact formula for the Parisian ruin probability, which is defined by the probability that the process exhibits an excursion below ze...
This survey treats the problem of ruin in a risk model when assets earn investment income. In addition to a general presentation of the problem, topics covered are a presentation of the relevant inte...
Minimizing the Probability of Ruin when Consumption is Ratcheted
Self-annuitization optimal investment stochastic optimal control probability of ruin ratcheting of consumption
2010/12/20
We assume that an agent's rate of consumption is {\it ratcheted}; that is, it forms a non-decreasing process. Given the rate of consumption, we act as financial advisers and find the optimal investmen...