Neil Cavuto sat down with business icon Carl Icahn today in a Your World exclusive.

During the wide-ranging interview, Icahn discussed his buyback fight with Apple. “I’m not going anywhere,” he said, calling Apple undervalued.

He also talked about his relationships with CEO Tim Cook, who he refers to as his friend despite previous battles, and others.

Speaking generally, he said, “The country does great when you have a meritocracy like in this country. The right guy gets to the top. We don’t have that now. Right now our corporate leaders are not the right guy… They’re the guy that was the president of the fraternity, knows how to get along, and then starts believing he’s a genius which he’s not.’

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Cavuto asked the billionaire investor what he thinks about President Obama’s handling of the economy.

“Obama could have done a lot more… in investing,” Icahn said. “He stressed ObamaCare too much.”

Icahn clarified that he doesn’t hate the Affordable Care Act. “I think that Obama had to do something like that. I don’t think it’s that bad. I’m no expert on it, but I don’t think businesses should be a medical provider. Look, the CEO has enough trouble with his own business… what the hell is he a medical provider for?”

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He credited former Federal Reserve chairman Ben Bernanke with saving the country. He believes banks should not be trading in the market and blamed that for some of the 2008 economic problems.

“We’re going to see other problems looming ahead,” Icahn predicted. “If [banks are] too big to fail, what [the government] should be doing is taking them over, nationalizing them and selling them. They shouldn’t keep the same management in them.”

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Not a fan of New York City Mayor Bill de Blasio, Icahn slammed his education policies. He believes that charter schools accomplish more than public schools, which the mayor disagrees with. “How can you hate charter schools when you see the results?” he wondered.

When it comes to hiking taxes on the rich, however, Icahn said it doesn’t bother him.

He rejected being referred to as a corporate raider. Icahn said he wants to be remembered as somebody who change the rules in corporate governance to make management accountable.