Penalty method for indifference pricing of American option in a liquidity switching market

TB Gyulov, MN Koleva - Applied Numerical Mathematics, 2022 - Elsevier
In this paper we develop a numerical method for pricing American options under regime-
switching model, whose solutions are option buyer indifference prices. The problem is …

Numerical analysis and simulation of European options under liquidity shocks: A coupled semilinear system approach with new IMEX methods

A Singh, V Maurya, MK Rajpoot - Computers & Mathematics with …, 2024 - Elsevier
This paper employs a numerical approach to investigate the impact of liquidity shocks on
European options in modeling markets. To accurately capture the behavior of European …

RBF–based IMEX finite difference schemes for pricing option under liquidity switching

A Kumar, G Rakshit, D Kumar Yadav… - International Journal of …, 2024 - Taylor & Francis
In this work, we introduce two accurate and efficient finite difference methods based on
radial basis functions (RBF–FD) for pricing European and American options under liquidity …

Efficient finite difference method for optimal portfolio in a power utility regime-switching model

TB Gyulov, MN Koleva, LG Vulkov - International Journal of …, 2019 - Taylor & Francis
The focus of the present work is a one-dimensional system of weakly coupled degenerate
semi-linear parabolic equations of optimal portfolio in a regime-switching with power utility …

Numerical method for optimal portfolio in an exponential utility regime-switching model

MN Koleva, LG Vulkov - International Journal of Computer …, 2020 - Taylor & Francis
In this work, we consider a system of weakly coupled semi-linear parabolic equations of
optimal portfolio in a regime-switching model in the case of exponential utility function …

[PDF][PDF] Numerical approach to optimal portfolio in a power utility regime-switching model

TB Gyulov, MN Koleva, LG Vulkov - AIP CP, 2017 - academia.edu
We consider a system of weakly coupled degenerate semi-linear parabolic equations of
optimal portfolio in a regimeswitching with power utility function, derived by AR Valdez and …

Valuation of European options with liquidity shocks switching by fitted finite volume method

MN Koleva, LG Vulkov - … Conference, LSSC 2019, Sozopol, Bulgaria, June …, 2020 - Springer
In the present paper, we construct a superconvergent fitted finite volume method (FFVM) for
pricing European option with switching liquidity shocks. We investigate some basic …

Numerical analysis of a finite difference scheme for optimal portfolio in a power utility regime-switching model

MN Koleva, LG Vulkov - AIP Conference Proceedings, 2021 - pubs.aip.org
In this paper we propose a numerical method for solving regime-switching problem with
power utility function. The model is a system of parabolic equations with non-linear gradient …