Brokate, M., Klüppelberg, C., Kostadinova, R., Maller, R., Seydel, R.S.
On the distribution tail of an integrated risk model: a numerical approach
We consider an insurance risk process with the possibility to invest the capital reserve into a portfolio consisting of risky assets and a riskless asset. The stock price is modeled by an exponential Lévy process and the riskless interest rate is assumed to be constant. We aim at the risk assessment of the integrated risk process in terms of a high quantile or the far out distribution tail. We indicate an application to an
optimal investment strategy of an insurer.