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Analytical Formula for Conditional Moments of Extended Heston-CEV Hybrid Model with Time-dependent Parameters


Paper Type 
Contributed Paper
Title 
Analytical Formula for Conditional Moments of Extended Heston-CEV Hybrid Model with Time-dependent Parameters
Author 
Promsiri Anunak, Petarpa Boonserm and Udomsak Rakwongwan
Email 
praew7572@gmail.com
Abstract:

      This paper proposes an analytical formula for conditional moments of the extended Heston-CEV hybrid model, where the underlying asset dynamic is formed under the hybrid framework of a constant elasticity of variance (CEV) process that is the March–Rosenfeld process. The formula is received by successfully solving the partial differential equation corresponding to the infinitesimal generator for two-dimensional process. The formula obtained is easy to use in practice and relatively more general compared with the currently existing results in the literature. In addition, numerical validations are conducted to illustrate the accuracy of our analytical formula by comparing the results gained from the Monte Carlo (MC) simulations.

Article ID
e2023022
Received Date 
2022-11-04
Revised Date 
2022-12-30
Accepted Date 
2023-01-26
Full Text 
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Keyword 
analytical formula, CEV model, conditional moments, Heston model, Heston-CEV hybrid model
Volume 
Vol.50 No.3 (May 2023)
DOI 
https://doi.org/10.12982/CMJS.2023.022
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