On the periods of generalized Fibonacci recurrences
Mathematics of Computation
A fast, high quality, and reproducible parallel lagged-Fibonacci pseudorandom number generator
Journal of Computational Physics
Algorithm 806: SPRNG: a scalable library for pseudorandom number generation
ACM Transactions on Mathematical Software (TOMS)
Testing parallel random number generators
Parallel Computing
Distributed Quasi-Monte Carlo Algorithm for Option Pricing on HNOWs Using mpC
ANSS '06 Proceedings of the 39th annual Symposium on Simulation
TestU01: A C library for empirical testing of random number generators
ACM Transactions on Mathematical Software (TOMS)
A pseudo random numbers generator based on chaotic iterations: application to watermarking
WISM'10 Proceedings of the 2010 international conference on Web information systems and mining
IWOMP'12 Proceedings of the 8th international conference on OpenMP in a Heterogeneous World
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In this paper we discuss the development of a valuation system of asset-liability management of portfolios of life insurance policies on advanced architectures. According to the new rules of the Solvency II project, numerical simulations must provide reliable estimates of the relevant quantities involved in the contracts; therefore, valuation processes have to rely on accurate algorithms able to provide solutions in a suitable turnaround time. Our target is to develop an effective valuation software. At this aim we first introduce a change of numeraire in the stochastic processes for risks sources, thus providing estimates under the forward risk-neutral measure that result in a gain in accuracy. We then parallelize the Monte Carlo method to speed-up the simulation process.