Apple has been interviewing senior payments industry executives to push ahead on a plan to build an electronic payments business, according to two people familiar with the process. The company has been meeting with potential applicants for two new positions at Apple focused exclusively on building a business around the hundreds of millions of credit cards it already has on file. Apple is seeking to fill head of product and head of business development positions, one of these people said. Jennifer Bailey, Apple’s long-time e-commerce head, has met with candidates and is currently leading the initiative, according to these sources. “Their ambitions are very, very serious,” one of the sources said. Apple has previously said that its customers have set up nearly 600 million iTunes accounts, the majority of which are tied to a credit card account.