The integration of artificial intelligence (AI) in finance has revolutionized market analysis and risk management, enabling more accurate predictions, efficient decision-making, and enhanced risk mitigation strategies. This chapter explores cutting-edge computational methods leveraging AI for financial market analysis and risk management, focusing on innovative techniques such as deep learning, reinforcement learning, sentiment analysis, and ensemble models. Drawing from recent advancements in the field, the chapter highlights the application of AI in forecasting market trends, detecting anomalies, and optimizing portfolio management. Key contributions include a comprehensive review of methodologies such as hybrid neural networks, multi-granularity spatio-temporal correlation networks, and transformer-based models for stock price prediction. Additionally, the chapter discusses the role of AI in identifying market manipulation, improving financial time-series forecasting, and enhancing risk assessment frameworks. By synthesizing insights from top-tier research, this chapter provides a forward-looking perspective on the transformative potential of AI in shaping the future of finance.