Project CEMAPRE internal
| Title | Ruin, cyber risk, pension and ALM problems in risk modelling, for application in insurance, pensions and finance |
| Participants | Renata Alcoforado, Alana Azevedo de Macedo, Agnieszka Bergel, Rui M.R. Cardoso, Mercè Clarammunt, Alfredo Egídio dos Reis (Principal Investigator), Abraham Hernández-Pacheco, Maitté Marmol, Alexandra Moura, Joana Rocha, Eugenio Rodriguez-Martinez |
| Summary | This is a continuation of our Ruin and Dividend Problems project of 2022. There are still quite a few unfinished and open problems. We consider the Carmér-Lundberg risk model for insurance application, or Primal Model, and the corresponding Dual Risk Model with applications to Finance. We continue the planned topic "Gerber-Shiu (2005) transform” adaptation to the dual model, working a penalty function under randomised observations but extending to random observations following a certain sort of renewal processes. Also, we will be working on a solution for a defective renewal equation for the survival probability worked by Bergel (2013, Section 5.4.4) in for the renewal Phase-type(n) primal risk model. On different scope we work the problem in our ‘Ruin theory to Credit Risk 2020” project application to the probability of default in credit risk, particularly basing the calculation of one year ruin probabilities, estimating annual interest rates that take into account with default. We will be working also in extending our work in cyber risk behaviour and measuring, developing insurance covering estimation. Ruin probability approach for optimisation of pension fund investments as well as claim dependence will be under our study, as well as strategic asset allocation in ALM (Asset and Liability Management ) application to the insurance and pension sector. We extend our study to risk and ruin models allowing dependence. |