Bitcoin (BTC-USD) is a virtual currency that has grown in popularity after its inception in 2008. BTC-USD is an internet communication network that makes using digital money, including digital payments, easy. It offers decentralized clearing of transactions and money supply. This study attempts to accurately anticipate the BTC-USD prices (Close) using data from September 2023 to September 2024, comprising 390 observations. Four machine learning models—Multi-layer Perceptron, Extreme Learning Machine, Neural Network AutoRegression, and Extreme-Gradient Boost—as well as four time series models—Auto-Regressive Integrated Moving Average, Auto-Regressive, Non-Parametric Auto-Regressive, and Simple Exponential Smoothing models—are used to achieve this end. Various hybrid models are then proposed utilizing these models, which are based on simple averaging of these models. The data-splitting technique, commonly used in comparative analysis, splits the data into training and testing data sets. Through comparison testing with training data sets consisting of 30%, 20%, and 10%, the present work demonstrated that the suggested hybrid model outperforms the individual approaches in terms of error metrics, such as the MAE, RMSE, MAPE, SMAPE, and direction accuracy, such as correlation and the MDA of BTC. Furthermore, the DM test is utilized in this study to measure the differences in model performance, and a graphical evaluation of the models is also provided. The practical implication of this study is that financial analysts have a tool (the proposed model) that can yield insightful information about potential investments.

This research aims to present a holistic view of sustainable investments on firm performance by exploring the dimensions of sustainable investments and firm performance concerning Indian private and publicly listed companies. Panel data regression has been used to explore the relationship between sustainable investment and firm performance. The data of 75 BSE-listed companies has been extracted from Prowess IQ from 2012–2022.Two panels based on different ownership structures were created to observe the impact of sustainable investment and firm performance. The findings of this study indicate that sustainable investments positively impact firm performance in private ownership but negatively impact the firm’s performance in public ownership. The study provides an extensive and holistic view of sustainable investments in Indian companies listed in the BSE, which can be helpful for researchers, professionals, and policymakers in the field. The findings of this research contribute to the solutions to socio-economic challenges and support sustainable development goals through sustainable investments. This research is one of the first attempts to provide a holistic view of sustainable investments by including various aspects of sustainability and firm performance in Indian listed companies and ownership.