2002
DOI: 10.1002/cpe.643
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High‐performance numerical pricing methods

Abstract: SUMMARYThe pricing of financial derivatives is an important field in finance and constitutes a major component of financial management applications. The uncertainty of future events often makes analytic approaches infeasible and, hence, time-consuming numerical simulations are required. In the Aurora Financial Management System, pricing is performed on the basis of lattice representations of stochastic multidimensional scenario processes using the Monte Carlo simulation and Backward Induction methods, the latt… Show more

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Cited by 5 publications
(4 citation statements)
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“…For the performance experiments, we used a kernel from a crash-simulation code which originally has been developed for HPF+, and kernel from a numerical pricing module [21] developed in the context of the AURORA Financial Management 4 (1) 8 (2) 16 (4) 32 (8) 64 (16) number of processors (number of nodes) (1) 8 (2) 16 (4) 32 (8) 64 (16) number of processors (number of nodes) System [11]. Both kernels are based on an iterative computational scheme with an outer time-step loop.…”
Section: Resultsmentioning
confidence: 99%
“…For the performance experiments, we used a kernel from a crash-simulation code which originally has been developed for HPF+, and kernel from a numerical pricing module [21] developed in the context of the AURORA Financial Management 4 (1) 8 (2) 16 (4) 32 (8) 64 (16) number of processors (number of nodes) (1) 8 (2) 16 (4) 32 (8) 64 (16) number of processors (number of nodes) System [11]. Both kernels are based on an iterative computational scheme with an outer time-step loop.…”
Section: Resultsmentioning
confidence: 99%
“…The HPF kernel from a numerical pricing module [8,9] realizes a backward induction algorithm on a Hull and White interest rate tree. In the HPF code, the interest rate tree is represented by twodimensional arrays and several index vectors which capture the structure of the tree.…”
Section: Financial Optimization Kernelmentioning
confidence: 99%
“…Special parallelization schemes for Asian option structures are presented in [10]. A summary of the topic of financial pricing related to high performance computing is presented by [11]. The idea is to modify pricing algorithms to optimally run on clusters of workstations and some Grid middleware (see [12] for a summary of the importance for the whole financial industry).…”
Section: Introductionmentioning
confidence: 99%