ASML Holding N.V. operates at the foundational bedrock of the global semiconductor supply chain, maintaining an absolute, insurmountable monopoly in Extreme Ultraviolet (EUV) lithography and a dominant market share in Deep Ultraviolet (DUV) immersion lithography. The company designs, manufactures, and services the highly complex photolithography machines required to pattern integrated circuits. The fundamental analysis of ASML reveals a business defined by immense pricing power, a deeply entrenched economic moat, and structural tailwinds driven by the global transition toward advanced computing architectures, specifically artificial intelligence (AI) and high-performance computing (HPC).