scholarly journals High Performance and Low Power Monte Carlo Methods to Option Pricing Models via High Level Design and Synthesis

Author(s):  
Liang Ma ◽  
Fahad Bin Muslim ◽  
Luciano Lavagno
Author(s):  
Ajay Jasra ◽  
Arnaud Doucet

In this paper, we show how to use sequential Monte Carlo methods to compute expectations of functionals of diffusions at a given time and the gradients of these quantities w.r.t. the initial condition of the process. In some cases, via the exact simulation of the diffusion, there is no time discretization error, otherwise the methods use Euler discretization. We illustrate our approach on both high- and low-dimensional problems from optimal control and establish that our approach substantially outperforms standard Monte Carlo methods typically adopted in the literature. The methods developed here are appropriate for solving a certain class of partial differential equations as well as for option pricing and hedging.


Author(s):  
Hsuan-Chun LIAO ◽  
Mochamad ASRI ◽  
Tsuyoshi ISSHIKI ◽  
Dongju LI ◽  
Hiroaki KUNIEDA

2007 ◽  
Vol 6 (1) ◽  
pp. 106-112 ◽  
Author(s):  
Karol Kalna ◽  
James A. Wilson ◽  
David A. J. Moran ◽  
Richard J. W. Hill ◽  
Andrew R. Long ◽  
...  

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