“…In finance neural networks are used in the study of financial series (Krollner et al, 2010;Zhang et al, 2023), stock prices (Bodart & Candelon, 2009;Niu et al, 2023), stock market indices (Radomska, 2021;Alkhoshi & Belkasim, 2018;Kumar & Murugan, 2013;Moghaddam et al, 2016;Song & Choi, 2023;Bhandari et al, 2022;Al-Akashi, 2022), forecasting volatility of many financial variables (Donaldson & Kamstra, 1996a, b;Salchenberger et al, 1992;Kristjanpoller et al, 2014;Ramos-Pérez et al, 2019;Liu et al, 2017;Hamid & Iqbal, 2004;Sahiner et al, 2021). For example, volatility analysis of the S&P 500 index using the LTSM40 network was conducted (Xiong et al, 2016).…”