scholarly journals Efficient Hierarchical Approximation of High‐Dimensional Option Pricing Problems

2007 ◽  
Vol 29 (1) ◽  
pp. 440-458 ◽  
Author(s):  
Christoph Reisinger ◽  
Gabriel Wittum
2019 ◽  
Vol 22 (5) ◽  
pp. 71-101 ◽  
Author(s):  
Omishwary Bhatoo ◽  
Arshad Ahmud Iqbal Peer ◽  
Eitan Tadmor ◽  
Desire Yannick Tangman ◽  
Aslam Aly El Faidal Saib

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
M. Fakharany ◽  
R. Company ◽  
L. Jódar

This paper is concerned with the numerical solution of partial integrodifferential equation for option pricing models under a tempered stable process known as CGMY model. A double discretization finite difference scheme is used for the treatment of the unbounded nonlocal integral term. We also introduce in the scheme the Patankar-trick to guarantee unconditional nonnegative numerical solutions. Integration formula of open type is used in order to improve the accuracy of the approximation of the integral part. Stability and consistency are also studied. Illustrative examples are included.


2016 ◽  
Vol 60 ◽  
pp. 108-114 ◽  
Author(s):  
R. Company ◽  
V.N. Egorova ◽  
L. Jódar ◽  
F. Soleymani

2011 ◽  
Vol 1 (1) ◽  
pp. 82-88
Author(s):  
Hong-Kui Pang ◽  
Ying-Ying Zhang ◽  
Xiao-Qing Jin

AbstractWe consider a nonsymmetric Toeplitz system which arises in the discretization of a partial integro-differential equation in option pricing problems. The preconditioned conjugate gradient method with a tri-diagonal preconditioner is used to solve this system. Theoretical analysis shows that under certain conditions the tri-diagonal preconditioner leads to a superlinear convergence rate. Numerical results exemplify our theoretical analysis.


2019 ◽  
Vol 47 (4) ◽  
pp. 813-833
Author(s):  
Omishwary Bhatoo ◽  
Arshad Ahmud Iqbal Peer ◽  
Eitan Tadmor ◽  
Désiré Yannick Tangman ◽  
Aslam Aly El Faidal Saib

Author(s):  
João Zambujal-Oliveira

The study employs a real options approach that doesn’t need to capture all the uncertainty and proposes a process that directly determines the uncertainty associated with the first period. The results support that its use can be considered fair. However, it shows that long periods of operation and poor adhesion to the geometric Brownian motion by the project returns might call into question its use in the energy market. The values for option pricing have remained inside acceptable ranges, but some shortfalls could be found. First, the study employs Monte Carlo simulations, which can be viewed as forward-looking processes, and option pricing problems need backward recursive solutions. Second, the study shows that its simplicity produces results as accurate as those gathered from approaches with added complexity and computational needs.


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