Abstract. Problems of computational actuarial mathematics, dynamic financial analysis, optimization of insurance business and the possibility of their solution by means of parallel computing on graphics accelerators are discussed. The ruin probability and other performance criteria of an insurance company are estimated by the Monte Carlo method. In many cases, this is the only applicable method. Since the ruin probability is small enough, to achieve an acceptable estimate accuracy it may be need an astronomical number of simulations. Parallelization of the Monte Carlo method and the use of graphical accelerators allow getting the desired result in a reasonable time. The results of numerical experiments on the developed system of actuarial modeling RISKUS, allowing the use of graphical accelerator that supports Nvidia CUDA 1.3 and higher are presented.

Keywords: computational actuarial mathematics, dynamic financial analysis, simulation modeling, optimization of insurance business, risk process, ruin probability, efficient frontier, parallel computing, Monte Carlo method, GPGPU, CUDA.