## Finite- and infinite-time ruin probabilities in the presence of stochastic returns on investments.(English)Zbl 1095.91040

The finite- and infinite-time ruin probabilities in a discrete-time stochastic economic environment are investigated. Under the assumption that the insurance risk is extended-regularly-varying tailed or rapidly-varying tailed, some precise estimates for the ruin probabilities are derived.

### MSC:

 91B30 Risk theory, insurance (MSC2010) 62P05 Applications of statistics to actuarial sciences and financial mathematics

### Keywords:

extended regular variation; financial risk
Full Text:

### References:

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