The new exhibits consist of 6,157 pages of interviews, letters, e-mail messages, telephone records and other background material gathered during Mr. Kotz’s 10-month investigation of how the commission handled, and mishandled, numerous tips and warnings it received about Mr. Madoff over the years. His full report,released last month, found the agency had received six substantive complaints since 1992  and botched the investigation of every one of them. He found no evidence of any bribery, collusion or deliberate sabotage of those investigations.

In fact, Mr. Madoff said in the jailhouse interview that, on two occasions, he was certain it was only a matter of days or even hours before he would be caught. The first time, in 2004, he assumed the investigators would check his clearinghouse account. He said he was “astonished” that they did not, and theorized that they might have decided against doing so because of his stature in the industry.

“I’m very proud of the role I played in the industry,” he said. “Of course I destroyed that now.”

In Mr. Madoff’s second close call in 2006, investigators actually asked for his clearinghouse account number on a Friday afternoon, but then never followed up. He said he firmly expected the following Monday would bring the curtain down on his crime. Again, nothing happened. He recalled thinking at the time: “After all this, I got away lucky.”

His investors did not. According to estimates by a court-appointed trustee who is liquidating his estate, Mr. Madoff’s crime cost thousands of victims at least $21 billion in cash losses, part of the $64.8 billion in paper wealth that vanished when his scheme collapsed.

Despite what Mr. Madoff described as the chronic ineptitude of the S.E.C., he said in the interview that he was “worried every time” examiners showed up.