Article

Application of semiclassical approximation to stochastic differential equations

Victor MalyutinDepartment of Nonlinear and Stochastic Analysis , Institute of Mathematics of the National Academy of Sciences of Belarus , Minsk , BelarusB. O. NurjanovKarakalpak Branch , V. I. Romanovsky Institute of Mathematics of the Academy of Sciences of the Republic of Uzbekistan , Tashkent , Uzbekistan

Monte Carlo Methods and Applicationsjournal2024en

ABI

Abstract

Abstract A method for calculating the characteristics of stochastic differential equations using semiclassical approximation is proposed. For a stochastic differential equation arising in the study of the pure birth process (Yule process) and the Cox Ingersoll Ross (CIR) model, an analysis of the accuracy of the semiclassical approximation was carried out. This analysis is based on a comparison of approximate values with exact values for the mathematical expectation of a solution to the equation.

Topics

Stochastic processes and financial applications Differential Equations and Numerical Methods Financial Risk and Volatility Modeling

Identifiers

DOI: 10.1515/mcma-2024-2017

Citations and references

Cited by 07 references

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