Kin Lane discusses predictions for the future of APIs in several areas: 1. Modular tools and platforms will emerge for building and deploying APIs as services. 2. Embeddable widgets and plugins will become widespread, making APIs more accessible to non-developers. 3. Developers will gain more control and influence within API ecosystems through organization and social coding. 4. New monetization models like affiliate programs and prepay options will help API providers manage costs and monetize APIs.