The promise of generative artificial intelligence (AI) is captivating: it automates content creation, accelerates decision-making, and unlocks new efficiencies across industries. But beneath this glittering facade lurks an existential threat that few executives acknowledge: these systems are introducing catastrophic risks that cyber insurance markets are neither prepared for—nor willing to underwrite fully. As insurers frantically scramble to recalibrate policies in light of AI-driven threats, risk executives face a stark choice: transform how they manage emerging digital risks or face potentially devastating uninsured losses.